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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN\n", + "Date \n", + "2015-04-01 549.489990 81.669998 59.017143 370.260010\n", + "2015-04-02 541.309998 81.559998 59.154285 372.250000\n", + "2015-04-06 543.950012 82.440002 60.330002 377.040009\n", + "2015-04-07 544.859985 82.320000 60.494286 374.410004" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd \n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "assets = pd.read_csv('/home/riverstone/FANG_Port.csv',header='infer',index_col='Date')\n", + "assets.head(4)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(14,7))" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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8RpTFRMbobGylZX7BYk9qHlVxKQH5f33iWI7JD0wXBycJFkL0Ut3bbwcdbtpk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\nAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for c in assets.columns.values:\n", + " plt.plot(assets.index,assets[c], lw=3, alpha=0.8, label=c)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "No handles with labels found to put in legend.\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Date
2015-04-01NaNNaNNaNNaN
2015-04-02-0.014998-0.0013480.0023210.005360
2015-04-060.0048650.0107320.0196800.012786
2015-04-070.001672-0.0014570.002719-0.007000
2015-04-080.007278-0.0004860.0413790.017973
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+ }, + "outputs": [], + "source": [ + "port_returns = np.array(port_returns)\n", + "port_volatilities = np.array(port_volatilities)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([0.28495814, 0.32386629, 0.37629411, 0.30094879, 0.38013189,\n", + " 0.33386386, 0.32265526, 0.37025858, 0.35144407, 0.38237378,\n", + " 0.3331234 , 0.35158591, 0.38790711, 0.35719967, 0.35702963,\n", + " 0.42617616, 0.36860591, 0.41656978, 0.36944012, 0.39506606,\n", + " 0.33410302, 0.30625 , 0.40009264, 0.39659188, 0.35593061,\n", + " 0.40961422, 0.29908265, 0.40153207, 0.41386789, 0.38407718,\n", + " 0.37637917, 0.31864342, 0.3348073 , 0.36056543, 0.31008373,\n", + " 0.29919423, 0.26654801, 0.45330137, 0.39915103, 0.31742326,\n", + " 0.42547011, 0.31997523, 0.43977094, 0.33812522, 0.34110497,\n", + " 0.4041096 , 0.35368597, 0.29274452, 0.35783175, 0.34469429,\n", + " 0.32059679, 0.33632607, 0.31798434, 0.36091655, 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0.28108113, 0.21907101, 0.24442591,\n", + " 0.23341551, 0.24591462, 0.26358653, 0.23291443, 0.31008307,\n", + " 0.23644562, 0.24037062, 0.26363629, 0.23363514, 0.30389771,\n", + " 0.25647598, 0.2519103 , 0.21956425, 0.24757752, 0.25639547,\n", + " 0.22907369, 0.21669471, 0.22597894, 0.21686257, 0.22911555,\n", + " 0.25470224, 0.26462691, 0.28010508, 0.32217334, 0.23950248,\n", + " 0.22870114, 0.22878857, 0.2633755 , 0.22555708, 0.23877632,\n", + " 0.21545498, 0.24341186, 0.25908305, 0.27249262, 0.24347082,\n", + " 0.25823846, 0.24543736, 0.22782075, 0.21801029, 0.22016856,\n", + " 0.25554874, 0.22192688, 0.22596118, 0.23045115, 0.28219036,\n", + " 0.23892438, 0.24525749, 0.23414564, 0.26417212, 0.22647159,\n", + " 0.27562616, 0.22588609, 0.21868215, 0.22651624, 0.27846138,\n", + " 0.22371804, 0.21708391, 0.24806505, 0.24482158, 0.23126112,\n", + " 0.23141593, 0.23384129, 0.23216678, 0.24551957, 0.22989385,\n", + " 0.22781413, 0.25177087, 0.25355242, 0.25154892, 0.23896085,\n", + " 0.22800265, 0.23587037, 0.23906415, 0.24310646, 0.23097579,\n", + " 0.26584252, 0.24134793, 0.24637036, 0.2299102 , 0.24711408,\n", + " 0.23264718, 0.26602923, 0.21763752, 0.23127824, 0.22531332,\n", + " 0.26667245, 0.25855474, 0.24140725, 0.2366708 , 0.22711552,\n", + " 0.2494546 , 0.25641135, 0.25934925, 0.22409419, 0.2300734 ,\n", + " 0.25004947, 0.24582293, 0.22290388, 0.21981128, 0.21905448,\n", + " 0.22636768, 0.25530988, 0.22397955, 0.24309118, 0.22700526,\n", + " 0.22309169, 0.23882902, 0.24628263, 0.25783587, 0.23333929,\n", + " 0.22314372, 0.24632236, 0.22090026, 0.24988333, 0.22396715,\n", + " 0.23790721, 0.21405093, 0.22823388, 0.26677143, 0.21628203,\n", + " 0.2487233 , 0.26305416, 0.25746094, 0.29046486, 0.23828641,\n", + " 0.25471872, 0.22890956, 0.23122459, 0.26287654, 0.21940873,\n", + " 0.21682425, 0.2189276 , 0.23853219, 0.2320646 , 0.2487154 ,\n", + " 0.25404731, 0.23290156, 0.23725064, 0.22278773, 0.24162034,\n", + " 0.21342894, 0.22157005, 0.25172219, 0.23064378, 0.22128853,\n", + " 0.22656006, 0.26483221, 0.22846796, 0.25859272, 0.2454237 ,\n", + " 0.22912076, 0.22603835, 0.2898097 , 0.22933761, 0.22049515,\n", + " 0.22249973, 0.2538675 , 0.26288887, 0.22638106, 0.2355905 ,\n", + " 0.22888058, 0.22272479, 0.22013679, 0.22124538, 0.25062143,\n", + " 0.28573685, 0.26284653, 0.21443477, 0.23253706, 0.22935375,\n", + " 0.21604143, 0.22076046, 0.23470304, 0.24823152, 0.2174358 ,\n", + " 0.22487306, 0.23315166, 0.23948112, 0.27599461, 0.2273045 ,\n", + " 0.2377458 , 0.27997932, 0.25557964, 0.26568502, 0.23116626,\n", + " 0.23911846, 0.21999963, 0.22906313, 0.24843811, 0.23230325,\n", + " 0.23959602, 0.24005193, 0.22034986, 0.23670866, 0.2393182 ,\n", + " 0.24655641, 0.23469482, 0.23220076, 0.22100365, 0.29813609,\n", + " 0.21632798, 0.22296462, 0.26199396, 0.22541909, 0.23173752,\n", + " 0.27292529, 0.24488583, 0.25646505, 0.25091249, 0.21724821,\n", + " 0.23282104, 0.24982835, 0.24926056, 0.24852398, 0.2375933 ,\n", + " 0.26758993, 0.2432381 , 0.21391561, 0.23541787, 0.22022099,\n", + " 0.2249041 , 0.25825248, 0.23330657, 0.24478021, 0.22511322,\n", + " 0.24138706, 0.26085834, 0.21922717, 0.22190238, 0.25788184,\n", + " 0.22409154, 0.22015219, 0.25579028, 0.23015304, 0.24672989,\n", + " 0.24225431, 0.23407241, 0.30262333, 0.25081818, 0.23796511,\n", + " 0.24240333, 0.22134655, 0.22381314, 0.22443572, 0.23277201,\n", + " 0.22376367, 0.26289885, 0.22052769, 0.21442376, 0.21991025,\n", + " 0.26185344, 0.2456501 , 0.31728143, 0.2189131 , 0.22368103,\n", + " 0.23082584, 0.25467547, 0.23769625, 0.21789639, 0.23798136,\n", + " 0.2292584 , 0.22714596, 0.22768799, 0.23237155, 0.2718172 ,\n", + " 0.24958758, 0.22210408, 0.21617677, 0.23428096, 0.24188572,\n", + " 0.23551614, 0.21549785, 0.25736764, 0.21417217, 0.23334959,\n", + " 0.22811062, 0.22181939, 0.22192753, 0.22880478, 0.22548676,\n", + " 0.21390633, 0.25570087, 0.21949502, 0.23719275, 0.24355698,\n", + " 0.24518896, 0.23102151, 0.2187838 , 0.22318071, 0.23438031,\n", + " 0.22481193, 0.25160581, 0.22874281, 0.21649907, 0.29607478,\n", + " 0.2270156 , 0.22545783, 0.22934272, 0.26108599, 0.25859964,\n", + " 0.23966239, 0.24114979, 0.21673724, 0.23565655, 0.23104511,\n", + " 0.22196454, 0.26915719, 0.23301197, 0.2385721 , 0.22202522,\n", + " 0.22788531, 0.22022329, 0.24339236, 0.22014798, 0.25070406,\n", + " 0.24718934, 0.25652489, 0.23225668, 0.22047365, 0.26569773,\n", + " 0.23039626, 0.24131262, 0.22849384, 0.25831062, 0.26339517,\n", + " 0.22125971, 0.24212721, 0.23519203, 0.24061483, 0.22708976,\n", + " 0.24587274, 0.23325088, 0.22051636, 0.25114331, 0.21319276,\n", + " 0.24863215, 0.21659527, 0.31495895, 0.22812863, 0.23673969,\n", + " 0.24007477, 0.23700511, 0.23448766, 0.22427147, 0.21891921,\n", + " 0.22746957, 0.22825626, 0.23408697, 0.24569227, 0.22053451,\n", + " 0.22537445, 0.22047832, 0.27886263, 0.23557922, 0.22908691,\n", + " 0.25769788, 0.25504226, 0.26082829, 0.23528459, 0.22881367,\n", + " 0.2730612 , 0.22442593, 0.24019592, 0.22678759, 0.2760022 ,\n", + " 0.23459717, 0.24039671, 0.23448729, 0.24455678, 0.21657204,\n", + " 0.24534376, 0.27424257, 0.26734194, 0.25403519, 0.2329464 ,\n", + " 0.27778776, 0.26185321, 0.23835072, 0.22025919, 0.23788681,\n", + " 0.22333741, 0.21862863, 0.2424358 , 0.26876514, 0.24240285,\n", + " 0.2258627 , 0.23007318, 0.22379005, 0.25883775, 0.25441955,\n", + " 0.23503353, 0.24570659, 0.24845073, 0.23527557, 0.22253758,\n", + " 0.22678783, 0.22983715, 0.2565022 , 0.25009175, 0.24080799,\n", + " 0.22013744, 0.25051948, 0.2597971 , 0.25401661, 0.25599899,\n", + " 0.27287958, 0.2172263 , 0.25046019, 0.23132555, 0.22993896,\n", + " 0.22246863, 0.21774864, 0.22843057, 0.2325295 , 0.21909003,\n", + " 0.26006461, 0.23118345, 0.26093007, 0.27008458, 0.22826976,\n", + " 0.22015501, 0.24622097, 0.26374033, 0.2279526 , 0.23058468,\n", + " 0.2588738 , 0.22446389, 0.26610811, 0.2505418 , 0.23121759,\n", + " 0.23478497, 0.23939801, 0.2187341 , 0.26149372, 0.23164241,\n", + " 0.22055214, 0.29363527, 0.23857516, 0.25569886, 0.25618486,\n", + " 0.23048064, 0.21604311, 0.24173703, 0.25463795, 0.27979269,\n", + " 0.2392696 , 0.23299165, 0.22249389, 0.23947559, 0.22631947,\n", + " 0.23175567, 0.25590372, 0.23516379, 0.22112036, 0.25343395,\n", + " 0.22517375, 0.22480268, 0.22168916, 0.21842859, 0.21379664,\n", + " 0.24951098, 0.24185994, 0.21981214, 0.22005551, 0.2481584 ,\n", + " 0.21941237, 0.23419527, 0.22847625, 0.25696813, 0.23731461,\n", + " 0.22965107, 0.22016114, 0.23546544, 0.25440146, 0.24904509,\n", + " 0.24323884, 0.23637518, 0.22444065, 0.24002125, 0.25660602,\n", + " 0.24254492, 0.25205147, 0.22145223, 0.25905753, 0.23634486,\n", + " 0.22576776, 0.22633963, 0.26333386, 0.22153127, 0.24171909,\n", + " 0.24780599, 0.21854859, 0.28149759, 0.22447212, 0.24301849,\n", + " 0.31502212, 0.22588204, 0.23256792, 0.22901803, 0.24443947,\n", + " 0.26037115, 0.23109707, 0.23782792, 0.23807321, 0.24938095,\n", + " 0.25513656, 0.21811827, 0.23370126, 0.22365851, 0.2256404 ,\n", + " 0.28625172, 0.30485609, 0.24097313, 0.27740692, 0.21725024,\n", + " 0.22775042, 0.23940286, 0.28121304, 0.25599876, 0.2170344 ,\n", + " 0.24284543, 0.24064315, 0.30304555, 0.22600501, 0.2247677 ,\n", + " 0.25297355, 0.23533479, 0.22937528, 0.22133112, 0.25444542,\n", + " 0.21864245, 0.26518856, 0.28288901, 0.23405231, 0.25105243,\n", + " 0.31843665, 0.27663768, 0.26590142, 0.22032841, 0.23301375,\n", + " 0.22487538, 0.21629359, 0.23401904, 0.22781431, 0.25265406,\n", + " 0.22314319, 0.23551624, 0.24542878, 0.23314255, 0.24875388,\n", + " 0.225723 , 0.22206656, 0.22625444, 0.2361301 , 0.22527458,\n", + " 0.23654787, 0.25831871, 0.22580686, 0.21855243, 0.2332762 ,\n", + " 0.22923502, 0.22833758, 0.25006672, 0.25475053, 0.22966729,\n", + " 0.21667829, 0.22149321, 0.2596476 , 0.23697385, 0.24486031,\n", + " 0.23005218, 0.23668965, 0.23781263, 0.24076668, 0.23299392,\n", + " 0.24107705, 0.24340335, 0.22379208, 0.23449292, 0.2373121 ,\n", + " 0.22195839, 0.22394935, 0.25170475, 0.23748685, 0.28519692,\n", + " 0.25316202, 0.2386481 , 0.22552375, 0.23492644, 0.27457075,\n", + " 0.25206818, 0.25276346, 0.25921637, 0.25127724, 0.2209894 ,\n", + " 0.23008478, 0.23388229, 0.24084212, 0.2281665 , 0.22730048,\n", + " 0.23005665, 0.24119513, 0.22695916, 0.25835354, 0.25473386,\n", + " 0.23967623, 0.22245659, 0.2398883 , 0.2343698 , 0.22577629,\n", + " 0.24905783, 0.25783416, 0.22565526, 0.21705352, 0.24393815,\n", + " 0.24112903, 0.22144021, 0.24775214, 0.22356737, 0.23854086,\n", + " 0.24707698, 0.24254961, 0.24584885, 0.21404875, 0.24025903,\n", + " 0.21657575, 0.2426742 , 0.23827021, 0.21987975, 0.29239 ,\n", + " 0.23164585, 0.22800755, 0.22116126, 0.2168134 , 0.23484169,\n", + " 0.21679498, 0.22853858, 0.24221345, 0.3166136 , 0.21519279,\n", + " 0.32290174, 0.21877125, 0.27079745, 0.2371273 , 0.24111735,\n", + " 0.33124495, 0.22954507, 0.25978564, 0.24005767, 0.25046923,\n", + " 0.25619917, 0.24334393, 0.22379984, 0.22790006, 0.21856184,\n", + " 0.30615864, 0.2698361 , 0.25481675, 0.21556514, 0.27852778,\n", + " 0.28064154, 0.22354844, 0.2163665 , 0.24683899, 0.22659733,\n", + " 0.24210415, 0.26831439, 0.27890851, 0.23068933, 0.2190923 ,\n", + " 0.24220137, 0.23597509, 0.24949828, 0.21905356, 0.22797818,\n", + " 0.22311788, 0.22711025, 0.24054484, 0.22586988, 0.24281231,\n", + " 0.25838674, 0.2359746 , 0.21788074, 0.2959175 , 0.24068737,\n", + " 0.27863201, 0.22491465, 0.22635501, 0.22853941, 0.24210421,\n", + " 0.22930615, 0.22377193, 0.22951808, 0.25064805, 0.22474522,\n", + " 0.22076386, 0.23194876, 0.25351637, 0.22402162, 0.21926511,\n", + " 0.22592859, 0.31859831, 0.21500235, 0.22011801, 0.22774723,\n", + " 0.21812095, 0.27436101, 0.27324253, 0.25616467, 0.23958329,\n", + " 0.23330356, 0.26116734, 0.24234558, 0.23139065, 0.23718708,\n", + " 0.21706534, 0.33957188, 0.22960092, 0.23391026, 0.28659473,\n", + " 0.22446075, 0.21780138, 0.25857775, 0.22215698, 0.2304466 ,\n", + " 0.24425191, 0.235639 , 0.24872786, 0.22167982, 0.25576333,\n", + " 0.23763283, 0.22207751, 0.24150128, 0.24530951, 0.24799289,\n", + " 0.22232425, 0.25093798, 0.23389129, 0.22290181, 0.26164114,\n", + " 0.23525309, 0.22262062, 0.25689498, 0.24827864, 0.2214763 ,\n", + " 0.26349371, 0.21669227, 0.21645062, 0.22796948, 0.23704724,\n", + " 0.21968775, 0.22854723, 0.25915401, 0.22948068, 0.26496088,\n", + " 0.22129178, 0.2458731 , 0.22320941, 0.2215468 , 0.23951627,\n", + " 0.23013354, 0.24974251, 0.22487813, 0.23095596, 0.24617207,\n", + " 0.23310441, 0.2812591 , 0.23382501, 0.22065772, 0.24350461,\n", + " 0.23338901, 0.271157 , 0.25231089, 0.22618353, 0.27180827,\n", + " 0.22122821, 0.22880899, 0.27323236, 0.24253862, 0.22719726,\n", + " 0.25494696, 0.25252257, 0.24746503, 0.21858224, 0.23456888,\n", + " 0.26159644, 0.24803365, 0.2335765 , 0.29849813, 0.2570895 ,\n", + " 0.22486535, 0.25125977, 0.24601455, 0.2224826 , 0.23111264,\n", + " 0.23104269, 0.26228758, 0.22863397, 0.24226726, 0.27204486,\n", + " 0.22672348, 0.24322755, 0.24695409, 0.22060362, 0.27470918,\n", + " 0.24056444, 0.26530006, 0.23172978, 0.2552622 , 0.23136104,\n", + " 0.2176035 , 0.24355955, 0.23949941, 0.24583328, 0.26846946,\n", + " 0.2694567 , 0.22573367, 0.23808234, 0.26789445, 0.21383822,\n", + " 0.21417582, 0.26354955, 0.24618309, 0.26922336, 0.25723912,\n", + " 0.22137174, 0.23455535, 0.23307701, 0.2215478 , 0.26106745,\n", + " 0.22998816, 0.21848375, 0.23726175, 0.21955213, 0.25084912,\n", + " 0.25923912, 0.22516041, 0.23377341, 0.27534165, 0.25489038,\n", + " 0.21471777, 0.25076519, 0.22534613, 0.24407043, 0.21758089]))" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "port_returns, port_volatilities" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "portfolios = pd.DataFrame({'Return':port_returns,'Volatility':port_volatilities})" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": 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ReturnVolatility
00.2849580.223975
10.3238660.221278
20.3762940.233338
30.3009490.218868
40.3801320.231793
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ReturnVolatility
9950.2760470.214718
9960.3703210.250765
9970.2934890.225346
9980.3472470.244070
9990.2875040.217581
\n", + "
" + ], + "text/plain": [ + " Return Volatility\n", + "995 0.276047 0.214718\n", + "996 0.370321 0.250765\n", + "997 0.293489 0.225346\n", + "998 0.347247 0.244070\n", + "999 0.287504 0.217581" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolios.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0,0.5,'Expected Return')" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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A+Ba0J9+tQojns7lWJr9pP9ILj2Rj8ioEHl34KVSXlzoODgeAYFgzlq06fbht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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "portfolios.plot(x='Volatility', y='Return', kind = 'scatter', figsize=(10,6));\n", + "plt.xlabel('Expected Volatility')\n", + "plt.ylabel('Expected Return')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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{}, + "source": [ + "# Load Libraries and Data" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd \n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "#load csv containing return data on assets\n", + "assets = pd.read_csv('/home/FANG_Port.csv',header='infer',index_col='Date') " + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZN
Date
2018-03-231026.550049159.389999300.9400021495.560059
2018-03-261054.089966160.059998320.3500061555.859985
2018-03-271006.940002152.220001300.6900021497.050049
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2018-03-291037.140015159.789993295.3500061447.339966
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN\n", + "Date \n", + "2018-03-23 1026.550049 159.389999 300.940002 1495.560059\n", + "2018-03-26 1054.089966 160.059998 320.350006 1555.859985\n", + "2018-03-27 1006.940002 152.220001 300.690002 1497.050049\n", + "2018-03-28 1005.179993 153.029999 285.769989 1431.420044\n", + "2018-03-29 1037.140015 159.789993 295.350006 1447.339966" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "assets.tail(5) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Calculate Daily Returns " + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZN
Date
2015-04-01NaNNaNNaNNaN
2015-04-02-0.014887-0.0013470.0023240.005375
2015-04-060.0048770.0107900.0198750.012868
2015-04-070.001673-0.0014560.002723-0.006975
2015-04-080.007305-0.0004860.0422470.018135
\n", + "
" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN\n", + "2015-04-02 -0.014887 -0.001347 0.002324 0.005375\n", + "2015-04-06 0.004877 0.010790 0.019875 0.012868\n", + "2015-04-07 0.001673 -0.001456 0.002723 -0.006975\n", + "2015-04-08 0.007305 -0.000486 0.042247 0.018135" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "returns = (assets/assets.shift(1))-1\n", + "returns.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Check Distribution of Returns" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GOOGLFBNFLXAMZN
Date
2015-04-01NaNNaNNaNNaN
2015-04-02-0.014998-0.0013480.0023210.005360
2015-04-060.0048650.0107320.0196800.012786
2015-04-070.001672-0.0014570.002719-0.007000
2015-04-080.007278-0.0004860.0413790.017973
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN\n", + "2015-04-02 -0.014998 -0.001348 0.002321 0.005360\n", + "2015-04-06 0.004865 0.010732 0.019680 0.012786\n", + "2015-04-07 0.001672 -0.001457 0.002719 -0.007000\n", + "2015-04-08 0.007278 -0.000486 0.041379 0.017973" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GOOGL 0.212306\n", + "FB 0.224318\n", + "NFLX 0.538202\n", + "AMZN 0.455631\n", + "dtype: float64" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.mean()*252" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Covariance Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZN
GOOGL1.0000000.6599480.4216820.596727
FB0.6599481.0000000.3914810.585806
NFLX0.4216820.3914811.0000000.415408
AMZN0.5967270.5858060.4154081.000000
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN\n", + "GOOGL 1.000000 0.659948 0.421682 0.596727\n", + "FB 0.659948 1.000000 0.391481 0.585806\n", + "NFLX 0.421682 0.391481 1.000000 0.415408\n", + "AMZN 0.596727 0.585806 0.415408 1.000000" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.corr()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Generate Random Weights" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "number_assets = len(assets.columns)\n", + "number_assets" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "weights = np.random.random(number_assets)" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.32743513, 0.08800848, 0.40601685, 0.17853954])" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "weights /= np.sum(weights)\n", + "weights" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Weights must sum to 1 " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "weights[0]+weights[1]+weights[2]+weights[3] " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Expected Portfolio Returns" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.38912523435680413" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "exp_por_ret = np.sum(weights * log_returns.mean())*252\n", + "exp_por_ret" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Expected Portfolio Variance" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0658321490758523" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "exp_por_var = np.dot(weights.T,np.dot(log_returns.cov()*252,weights))\n", + "exp_por_var" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Expected Portfolio Volitility" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.2565777641882716" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "exp_por_vol = np.sqrt(np.dot(weights.T,np.dot(log_returns.cov()*252,weights)))\n", + "exp_por_vol" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/PortOpt.MinVol.Optimization.ipynb b/PortOpt.MinVol.Optimization.ipynb new file mode 100644 index 0000000..6bee4dd --- /dev/null +++ b/PortOpt.MinVol.Optimization.ipynb @@ -0,0 +1,821 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Load Packages and Data" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd \n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "assets = pd.read_csv('/home/Portfolio_2.csv',header='infer',index_col='Date') " + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOX
Date
2015-04-01549.48999081.66999859.017143370.26001073.779182139.59140081.30000331.535204
2015-04-02541.30999881.55999859.154285372.25000074.233482140.88287481.12000332.055969
2015-04-06543.95001282.44000260.330002377.04000974.900414141.69122380.98000332.287418
2015-04-07544.85998582.32000060.494286374.41000474.136803141.02223280.58000232.104183
2015-04-08548.84002782.27999963.049999381.20001275.084068141.22663983.52999932.046318
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY \\\n", + "Date \n", + "2015-04-01 549.489990 81.669998 59.017143 370.260010 73.779182 \n", + "2015-04-02 541.309998 81.559998 59.154285 372.250000 74.233482 \n", + "2015-04-06 543.950012 82.440002 60.330002 377.040009 74.900414 \n", + "2015-04-07 544.859985 82.320000 60.494286 374.410004 74.136803 \n", + "2015-04-08 548.840027 82.279999 63.049999 381.200012 75.084068 \n", + "\n", + " COST DLTR FOX \n", + "Date \n", + "2015-04-01 139.591400 81.300003 31.535204 \n", + "2015-04-02 140.882874 81.120003 32.055969 \n", + "2015-04-06 141.691223 80.980003 32.287418 \n", + "2015-04-07 141.022232 80.580002 32.104183 \n", + "2015-04-08 141.226639 83.529999 32.046318 " + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "assets.head(5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "assets.tail(5) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Calculate Daily Returns " + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOX
Date
2015-04-01NaNNaNNaNNaNNaNNaNNaNNaN
2015-04-02-0.014887-0.0013470.0023240.0053750.0061580.009252-0.0022140.016514
2015-04-060.0048770.0107900.0198750.0128680.0089840.005738-0.0017260.007220
2015-04-070.001673-0.0014560.002723-0.006975-0.010195-0.004721-0.004940-0.005675
2015-04-080.007305-0.0004860.0422470.0181350.0127770.0014490.036610-0.001802
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST \\\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN NaN NaN \n", + "2015-04-02 -0.014887 -0.001347 0.002324 0.005375 0.006158 0.009252 \n", + "2015-04-06 0.004877 0.010790 0.019875 0.012868 0.008984 0.005738 \n", + "2015-04-07 0.001673 -0.001456 0.002723 -0.006975 -0.010195 -0.004721 \n", + "2015-04-08 0.007305 -0.000486 0.042247 0.018135 0.012777 0.001449 \n", + "\n", + " DLTR FOX \n", + "Date \n", + "2015-04-01 NaN NaN \n", + "2015-04-02 -0.002214 0.016514 \n", + "2015-04-06 -0.001726 0.007220 \n", + "2015-04-07 -0.004940 -0.005675 \n", + "2015-04-08 0.036610 -0.001802 " + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "returns = (assets/assets.shift(1))-1\n", + "returns.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Check Distribution of Returns" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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N7OSy7V6J1wm8GXi0fnEzYxywot1CDEPWsr3BzHasZ8ec6jgvusuLHABvNrNt6tkxBzrO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\nzsi0Q8fN1Inre1O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Date
2015-04-01NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
2015-04-02-0.014887-0.0013470.0023240.0053750.0061580.009252-0.0022140.016514-0.0081110.006310
2015-04-060.0048770.0107900.0198750.0128680.0089840.005738-0.0017260.0072200.0159310.008256
2015-04-070.001673-0.0014560.002723-0.006975-0.010195-0.004721-0.004940-0.005675-0.017763-0.002799
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST \\\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN NaN NaN \n", + "2015-04-02 -0.014887 -0.001347 0.002324 0.005375 0.006158 0.009252 \n", + "2015-04-06 0.004877 0.010790 0.019875 0.012868 0.008984 0.005738 \n", + "2015-04-07 0.001673 -0.001456 0.002723 -0.006975 -0.010195 -0.004721 \n", + "2015-04-08 0.007305 -0.000486 0.042247 0.018135 0.012777 0.001449 \n", + "\n", + " DLTR FOX Gold PEP \n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN \n", + "2015-04-02 -0.002214 0.016514 -0.008111 0.006310 \n", + "2015-04-06 -0.001726 0.007220 0.015931 0.008256 \n", + "2015-04-07 -0.004940 -0.005675 -0.017763 -0.002799 \n", + "2015-04-08 0.036610 -0.001802 -0.007064 -0.001871 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "returns = (assets/assets.shift(1))-1\n", + "returns.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Check Distribution of Returns" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Date
2015-04-01NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
2015-04-02-0.014998-0.0013480.0023210.0053600.0061390.009209-0.0022160.016379-0.0081440.006290
2015-04-060.0048650.0107320.0196800.0127860.0089440.005721-0.0017270.0071940.0158060.008222
2015-04-070.001672-0.0014570.002719-0.007000-0.010247-0.004733-0.004952-0.005691-0.017922-0.002802
2015-04-080.007278-0.0004860.0413790.0179730.0126960.0014480.035955-0.001804-0.007089-0.001873
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST \\\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN NaN NaN \n", + "2015-04-02 -0.014998 -0.001348 0.002321 0.005360 0.006139 0.009209 \n", + "2015-04-06 0.004865 0.010732 0.019680 0.012786 0.008944 0.005721 \n", + "2015-04-07 0.001672 -0.001457 0.002719 -0.007000 -0.010247 -0.004733 \n", + "2015-04-08 0.007278 -0.000486 0.041379 0.017973 0.012696 0.001448 \n", + "\n", + " DLTR FOX Gold PEP \n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN \n", + "2015-04-02 -0.002216 0.016379 -0.008144 0.006290 \n", + "2015-04-06 -0.001727 0.007194 0.015806 0.008222 \n", + "2015-04-07 -0.004952 -0.005691 -0.017922 -0.002802 \n", + "2015-04-08 0.035955 -0.001804 -0.007089 -0.001873 " + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GOOGL 0.212306\n", + "FB 0.224318\n", + "NFLX 0.538202\n", + "AMZN 0.455631\n", + "BBBY -0.420122\n", + "COST 0.100268\n", + "DLTR 0.051696\n", + "FOX 0.047673\n", + "Gold 0.065021\n", + "PEP 0.074819\n", + "dtype: float64" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns_means= log_returns.mean()*252\n", + "log_returns_means" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Covariance Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
GOOGL0.0517030.0379230.0400840.0377610.0067590.0148090.0174740.0165260.0034150.011622
FB0.0379230.0638650.0413590.0411990.0062680.0123790.0157950.0182670.0048930.011475
NFLX0.0400840.0413590.1747640.0483290.0119440.0161290.0220530.0239560.0092600.011262
AMZN0.0377610.0411990.0483290.0774470.0043870.0130070.0151400.0202390.0055450.010551
BBBY0.0067590.0062680.0119440.0043870.0994060.0167190.0315560.0203580.0025650.004672
COST0.0148090.0123790.0161290.0130070.0167190.0345350.0216810.011282-0.0020430.010648
DLTR0.0174740.0157950.0220530.0151400.0315560.0216810.0798640.018325-0.0009600.010233
FOX0.0165260.0182670.0239560.0202390.0203580.0112820.0183250.0608080.0007150.008245
Gold0.0034150.0048930.0092600.0055450.002565-0.002043-0.0009600.0007150.1271630.006395
PEP0.0116220.0114750.0112620.0105510.0046720.0106480.0102330.0082450.0063950.017353
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR \\\n", + "GOOGL 0.051703 0.037923 0.040084 0.037761 0.006759 0.014809 0.017474 \n", + "FB 0.037923 0.063865 0.041359 0.041199 0.006268 0.012379 0.015795 \n", + "NFLX 0.040084 0.041359 0.174764 0.048329 0.011944 0.016129 0.022053 \n", + "AMZN 0.037761 0.041199 0.048329 0.077447 0.004387 0.013007 0.015140 \n", + "BBBY 0.006759 0.006268 0.011944 0.004387 0.099406 0.016719 0.031556 \n", + "COST 0.014809 0.012379 0.016129 0.013007 0.016719 0.034535 0.021681 \n", + "DLTR 0.017474 0.015795 0.022053 0.015140 0.031556 0.021681 0.079864 \n", + "FOX 0.016526 0.018267 0.023956 0.020239 0.020358 0.011282 0.018325 \n", + "Gold 0.003415 0.004893 0.009260 0.005545 0.002565 -0.002043 -0.000960 \n", + "PEP 0.011622 0.011475 0.011262 0.010551 0.004672 0.010648 0.010233 \n", + "\n", + " FOX Gold PEP \n", + "GOOGL 0.016526 0.003415 0.011622 \n", + "FB 0.018267 0.004893 0.011475 \n", + "NFLX 0.023956 0.009260 0.011262 \n", + "AMZN 0.020239 0.005545 0.010551 \n", + "BBBY 0.020358 0.002565 0.004672 \n", + "COST 0.011282 -0.002043 0.010648 \n", + "DLTR 0.018325 -0.000960 0.010233 \n", + "FOX 0.060808 0.000715 0.008245 \n", + "Gold 0.000715 0.127163 0.006395 \n", + "PEP 0.008245 0.006395 0.017353 " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cov_mat = log_returns.cov()*252\n", + "cov_mat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Correlation Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
GOOGL1.0000000.6599480.4216820.5967270.0942830.3504610.2719330.2947320.0421170.388017
FB0.6599481.0000000.3914810.5858060.0786670.2635930.2211700.2931310.0542950.344700
NFLX0.4216820.3914811.0000000.4154080.0906210.2076110.1866700.2323870.0621170.204512
AMZN0.5967270.5858060.4154081.0000000.0500010.2514970.1925020.2949130.0558710.287823
BBBY0.0942830.0786670.0906210.0500011.0000000.2853470.3541650.2618500.0228180.112488
COST0.3504610.2635930.2076110.2514970.2853471.0000000.4128330.246201-0.0308320.434950
DLTR0.2719330.2211700.1866700.1925020.3541650.4128331.0000000.262965-0.0095270.274878
FOX0.2947320.2931310.2323870.2949130.2618500.2462010.2629651.0000000.0081360.253833
Gold0.0421170.0542950.0621170.0558710.022818-0.030832-0.0095270.0081361.0000000.136136
PEP0.3880170.3447000.2045120.2878230.1124880.4349500.2748780.2538330.1361361.000000
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR \\\n", + "GOOGL 1.000000 0.659948 0.421682 0.596727 0.094283 0.350461 0.271933 \n", + "FB 0.659948 1.000000 0.391481 0.585806 0.078667 0.263593 0.221170 \n", + "NFLX 0.421682 0.391481 1.000000 0.415408 0.090621 0.207611 0.186670 \n", + "AMZN 0.596727 0.585806 0.415408 1.000000 0.050001 0.251497 0.192502 \n", + "BBBY 0.094283 0.078667 0.090621 0.050001 1.000000 0.285347 0.354165 \n", + "COST 0.350461 0.263593 0.207611 0.251497 0.285347 1.000000 0.412833 \n", + "DLTR 0.271933 0.221170 0.186670 0.192502 0.354165 0.412833 1.000000 \n", + "FOX 0.294732 0.293131 0.232387 0.294913 0.261850 0.246201 0.262965 \n", + "Gold 0.042117 0.054295 0.062117 0.055871 0.022818 -0.030832 -0.009527 \n", + "PEP 0.388017 0.344700 0.204512 0.287823 0.112488 0.434950 0.274878 \n", + "\n", + " FOX Gold PEP \n", + "GOOGL 0.294732 0.042117 0.388017 \n", + "FB 0.293131 0.054295 0.344700 \n", + "NFLX 0.232387 0.062117 0.204512 \n", + "AMZN 0.294913 0.055871 0.287823 \n", + "BBBY 0.261850 0.022818 0.112488 \n", + "COST 0.246201 -0.030832 0.434950 \n", + "DLTR 0.262965 -0.009527 0.274878 \n", + "FOX 1.000000 0.008136 0.253833 \n", + "Gold 0.008136 1.000000 0.136136 \n", + "PEP 0.253833 0.136136 1.000000 " + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "corr_mat = log_returns.corr()\n", + "corr_mat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Random Weights via Monte Carlo Method" + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max Sharpe Ratio: 1.5130528738159625 Min Vol: 0.12654536358254154\n" + ] + } + ], + "source": [ + "#set seed for reproduceable results\n", + "np.random.seed(600)\n", + "number_port = 25000\n", + "number_assets = len(assets.columns)\n", + "\n", + "#array to store weights\n", + "weights_store = np.zeros((number_port,len(assets.columns)))\n", + "\n", + "#array to store returns\n", + "returns_store = np.zeros(number_port)\n", + "\n", + "#array to store returns\n", + "vol_store = np.zeros(number_port)\n", + "\n", + "#array to store Sharpe Ratio info\n", + "sharpe_store=np.zeros(number_port)\n", + "\n", + "#set Riskfree Rate, necessary for sharpe ratio\n", + "Rf = .015\n", + "\n", + "for x in range(number_port):\n", + " #Weights\n", + " weights = np.array(np.random.random(number_assets))\n", + " weights /= np.sum(weights)\n", + " #Save Weights\n", + " weights_store[x,:] = weights\n", + " \n", + " #Save Expected Returns\n", + " returns_store[x] = np.sum(weights*log_returns.mean())*252\n", + " \n", + " #Save Expected Volatility\n", + " vol_store[x] = np.sqrt(np.dot(weights.T,np.dot(log_returns.cov()*252, weights)))\n", + " \n", + " #Save Sharpe Ratio\n", + " sharpe_store[x] = (returns_store[x] - Rf)/vol_store[x]\n", + " \n", + "print('Max Sharpe Ratio:',sharpe_store.max(),'Min Vol:',vol_store.min())" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Max_Sharpe_Allocation7.712.123.1223.940.432.932.580.513.6723.03
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR FOX \\\n", + "Max_Sharpe_Allocation 7.7 12.1 23.12 23.94 0.43 2.93 2.58 0.51 \n", + "\n", + " Gold PEP \n", + "Max_Sharpe_Allocation 3.67 23.03 " + ] + }, + "execution_count": 175, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Find location and allocation of Max Sharpe portfolio\n", + "max_sharpe_idx = np.argmax(sharpe_store)\n", + "max_sharpe_return = returns_store[max_sharpe_idx]\n", + "max_sharpe_vol = vol_store[max_sharpe_idx]\n", + "max_sharpe_wght = weights_store[max_sharpe_idx]\n", + "\n", + "max_sharpe_allocation = pd.DataFrame(weights_store[max_sharpe_idx],index=returns.columns,columns=['Max_Sharpe_Allocation'])\n", + "max_sharpe_allocation.Max_Sharpe_Allocation = [round(i*100,2)for i in max_sharpe_allocation.Max_Sharpe_Allocation]\n", + "max_sharpe_allocation = max_sharpe_allocation.T\n", + "\n", + "max_sharpe_allocation" + ] + }, + { + "cell_type": "code", + "execution_count": 197, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max Sharpe Portfolio Returns = 0.299334925592094\n", + "Max Sharpe Portfolio Vol = 0.18792134135735336\n" + ] + } + ], + "source": [ + "print('Max Sharpe Portfolio Returns = ',max_sharpe_return)\n", + "print('Max Sharpe Portfolio Vol = ',max_sharpe_vol)" + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Min_Vol_Allocation4.631.380.56.624.9519.437.1710.9317.1627.22
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR FOX Gold \\\n", + "Min_Vol_Allocation 4.63 1.38 0.5 6.62 4.95 19.43 7.17 10.93 17.16 \n", + "\n", + " PEP \n", + "Min_Vol_Allocation 27.22 " + ] + }, + "execution_count": 176, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Find location and allocation of Min Vol portfolio\n", + "min_vol_idx = np.argmin(vol_store)\n", + "min_vol_return = returns_store[min_vol_idx]\n", + "min_vol_vol = vol_store[min_vol_idx]\n", + "min_vol_allocation = pd.DataFrame(weights_store[min_vol_idx],index=returns.columns,columns=['Min_Vol_Allocation'])\n", + "min_vol_allocation.Min_Vol_Allocation = [round(i*100,2)for i in min_vol_allocation.Min_Vol_Allocation]\n", + "min_vol_allocation = min_vol_allocation.T\n", + "\n", + "min_vol_allocation" + ] + }, + { + "cell_type": "code", + "execution_count": 198, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Min Vol Portfolio Returns = 0.08490098513644295\n", + "Min Vol Portfolio Vol = 0.12654536358254154\n" + ] + } + ], + "source": [ + "print('Min Vol Portfolio Returns = ',min_vol_return)\n", + "print('Min Vol Portfolio Vol = ',min_vol_vol)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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CggJKS0uzfgnGYjBnjtn0uqgIJk2KsmJF7TYzhxwCK1bAeeeZelWYPZuMbOqW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\ncwJWfq+V591Ub7H5PdVZvJD5p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8TYgfLBI35/t/T10lv+8Amd+85CKXU6sBz4HxHZ7p87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\nR1ndexz//Gb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "#Assign data to axis, Vol,Returns, C= Sharpe Ratio, Cmap = 'Style'\n", + "plt.scatter(vol_store,returns_store,c=sharpe_store,cmap='plasma')\n", + "#Label Colorbar\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "#Label Maximum Sharpe and Minimum Vol\n", + "plt.scatter(max_sharpe_vol,max_sharpe_return,marker='*',color='r',s=500, label='Maximum Sharpe ratio')\n", + "plt.scatter(min_vol_vol,min_vol_return,marker='*',color='b',s=500, label='Minimum volatility')\n", + "#Provide a title\n", + "plt.title('Portfolio Optimization - Efficient Frontier')\n", + "plt.grid(True)\n", + "#Label X and Y Access\n", + "plt.xlabel('Volatility')\n", + "plt.ylabel('Returns')\n", + "plt.legend(labelspacing=0.8)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Create a Benchmark/Market Returns (S&P500)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GSPC
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2015-04-020.003523
2015-04-060.006587
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\n", + "
" + ], + "text/plain": [ + " GSPC\n", + "Date \n", + "2015-04-01 NaN\n", + "2015-04-02 0.003523\n", + "2015-04-06 0.006587\n", + "2015-04-07 -0.002064\n", + "2015-04-08 0.002679" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#SP500 Serves as our Benchmark\n", + "benchmark = pd.read_csv('/home/riverstone/GSPC_Benchmark.csv',header='infer',index_col='Date')\n", + "benchmark_ret = (benchmark/benchmark.shift(1))-1\n", + "log_benchmark_ret = np.log(benchmark/benchmark.shift(1)) \n", + "SP500_ret = log_benchmark_ret\n", + "SP500_ret.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Calculate Portfolio Beta" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.0200115301040453\n" + ] + } + ], + "source": [ + "#Calculate Betas for each individual asset \n", + "\n", + "#Create a list to hold Betas\n", + "outputs=[]\n", + "\n", + "for column in log_returns:\n", + " #concatentate market and log_returns[column] in to one dataframe\n", + " df = pd.DataFrame({'Benchmark':SP500_ret['GSPC'].dropna(),'Return':log_returns[column].dropna()})\n", + " \n", + " #Conduct Linear Regression to find Beta\n", + " rgress = sm.OLS(df.Return,sm.tools.add_constant(df.Benchmark)).fit()\n", + " \n", + " #Collect individual Regressions \n", + " outputs.append(rgress.params[1]) \n", + "\n", + "#Calculate Weighted Average of Betas \n", + "port_beta= np.sum(np.dot(outputs,(max_sharpe_allocation.T)/100))\n", + "print(port_beta)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Treynor Ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 199, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max Sharpe Treynor = 0.26405086378251114\n", + "Min Vol Treynor = 0.05382388680532153\n" + ] + } + ], + "source": [ + "#Assign Riskfree Rate or Threshold\n", + "rf = .03\n", + "\n", + "#Calculate Treynor Ratio\n", + "#Beta used to adjust for market risk\n", + "ms_Treynor = (max_sharpe_return - rf)/port_beta\n", + "\n", + "mv_Treynor = (min_vol_return - rf)/port_beta\n", + "\n", + "print('Max Sharpe Treynor = ', ms_Treynor)\n", + "print('Min Vol Treynor = ', mv_Treynor)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Information Ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 202, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max Sharpe Info Ratio = [1.59111934]\n", + "Min Vol Info Ratio = [0.66830848]\n" + ] + } + ], + "source": [ + "#Find excess returns less the Market Benchmark\n", + "ms_ret_less_bench = max_sharpe_return - SP500_ret.mean()\n", + "ms_info_ratio = ms_ret_less_bench/max_sharpe_vol\n", + "\n", + "mv_ret_less_bench = min_vol_return - SP500_ret.mean()\n", + "mv_info_ratio = mv_ret_less_bench/min_vol_vol\n", + "\n", + "print('Max Sharpe Info Ratio = ',ms_info_ratio.values)\n", + "print('Min Vol Info Ratio = ', mv_info_ratio.values)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Lower Partial Moment " + ] + }, + { + "cell_type": "code", + "execution_count": 207, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " LPM\n", + "GOOGL 0.001050\n", + "FB 0.001108\n", + "NFLX 0.001497\n", + "AMZN 0.001095\n", + "BBBY 0.001454\n", + "COST 0.001027\n", + "DLTR 0.001223\n", + "FOX 0.001154\n", + "Gold 0.001483\n", + "PEP 0.000954\n", + "Weighted Average LPM= 0.001170901106613874\n" + ] + } + ], + "source": [ + "#Lower Partial Moment\n", + "_LPM=[]\n", + "for column in log_returns:\n", + " y=log_returns[column][log_returns[column]-rf<0]\n", + " m=len(y)\n", + " total=0.0\n", + " for i in sp.arange(m):\n", + " total+=(y[i]-rf)**2\n", + " _LPM.append(total/(m-1))\n", + " \n", + "\n", + "lpmf = pd.DataFrame(_LPM,index=returns.columns,columns=['LPM'])\n", + "print(lpmf)\n", + "Weighted_Avg_LPM= np.sum(np.dot(_LPM,(max_sharpe_allocation.T)/100))\n", + "print(\"Weighted Average LPM=\",Weighted_Avg_LPM)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Omega Ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Min Vol Omega Ratio = 46.88780702856365\n", + "Max Sharpe Omega Ratio = 230.0236322869171\n" + ] + } + ], + "source": [ + "#First Order Lower Partial Moment\n", + "#A larger ratio indicates that the asset provides more gains relative to losses for some threshold r \n", + "#and so would be preferred by an investor\n", + "\n", + "ms_omega_ratio = (max_sharpe_return - rf) / Weighted_Avg_LPM\n", + "mv_omega_ratio = (min_vol_return -rf)/ Weighted_Avg_LPM\n", + "\n", + "print('Min Vol Omega Ratio = ',mv_omega_ratio)\n", + "print('Max Sharpe Omega Ratio =',ms_omega_ratio)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Sortino Ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 209, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Portfolio Standard Deviation = 0.18792134135735336\n", + "Target Downside Deviation = 0.034218432264115695\n", + "Max Sharpe Sortino Ratio = 7.871048080555728\n", + "Min Volatility Sortino Ratio = 1.604427248819833\n" + ] + } + ], + "source": [ + "#Second Order Lower Partial moment\n", + "TDD = np.sqrt(Weighted_Avg_LPM) \n", + "ms_sortino_ratio = (max_sharpe_return - rf) /TDD\n", + "ms_sortino_ratio\n", + "\n", + "mv_sortino_ratio = (min_vol_return - rf) /TDD\n", + "mv_sortino_ratio\n", + "print('Portfolio Standard Deviation = ',max_sharpe_vol)\n", + "print('Target Downside Deviation = ',TDD)\n", + "print('Max Sharpe Sortino Ratio = ',ms_sortino_ratio)\n", + "print('Min Volatility Sortino Ratio = ',mv_sortino_ratio)" + ] + }, + { + "cell_type": "code", + "execution_count": 196, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max_Sharpe_Kappa_Ratio = 2.5553629951828674\n", + "Min_Vol_Kappa_Ratio = 0.5208828580561519\n" + ] + } + ], + "source": [ + "#Third Partial Moment\n", + "ms_kappa_ratio = (max_sharpe_return - rf) / np.power(Weighted_Avg_LPM,float(1/3))\n", + "mv_kappa_ratio = (min_vol_return - rf) / np.power(Weighted_Avg_LPM,float(1/3))\n", + "\n", + "print('Max_Sharpe_Kappa_Ratio = ',ms_kappa_ratio)\n", + "print('Min_Vol_Kappa_Ratio = ',mv_kappa_ratio)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/PortOpt.Opt.MaxSharpe.MinVol.Real.ipynb b/PortOpt.Opt.MaxSharpe.MinVol.Real.ipynb new file mode 100644 index 0000000..df6b7c7 --- /dev/null +++ b/PortOpt.Opt.MaxSharpe.MinVol.Real.ipynb @@ -0,0 +1,3630 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Load Packages and Data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd \n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "import scipy.optimize as sco\n", + "\n", + "#load csv containing return data on assets\n", + "assets = pd.read_csv('/home/Portfolio_2.csv',header='infer',index_col='Date') " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Date
2015-04-01NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
2015-04-02-0.014887-0.0013470.0023240.0053750.0061580.009252-0.0022140.016514-0.0081110.006310
2015-04-060.0048770.0107900.0198750.0128680.0089840.005738-0.0017260.0072200.0159310.008256
2015-04-070.001673-0.0014560.002723-0.006975-0.010195-0.004721-0.004940-0.005675-0.017763-0.002799
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST \\\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN NaN NaN \n", + "2015-04-02 -0.014887 -0.001347 0.002324 0.005375 0.006158 0.009252 \n", + "2015-04-06 0.004877 0.010790 0.019875 0.012868 0.008984 0.005738 \n", + "2015-04-07 0.001673 -0.001456 0.002723 -0.006975 -0.010195 -0.004721 \n", + "2015-04-08 0.007305 -0.000486 0.042247 0.018135 0.012777 0.001449 \n", + "\n", + " DLTR FOX Gold PEP \n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN \n", + "2015-04-02 -0.002214 0.016514 -0.008111 0.006310 \n", + "2015-04-06 -0.001726 0.007220 0.015931 0.008256 \n", + "2015-04-07 -0.004940 -0.005675 -0.017763 -0.002799 \n", + "2015-04-08 0.036610 -0.001802 -0.007064 -0.001871 " + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "returns = (assets/assets.shift(1))-1\n", + "returns.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Check Distribution of Returns" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Date
2015-04-01NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
2015-04-02-0.014998-0.0013480.0023210.0053600.0061390.009209-0.0022160.016379-0.0081440.006290
2015-04-060.0048650.0107320.0196800.0127860.0089440.005721-0.0017270.0071940.0158060.008222
2015-04-070.001672-0.0014570.002719-0.007000-0.010247-0.004733-0.004952-0.005691-0.017922-0.002802
2015-04-080.007278-0.0004860.0413790.0179730.0126960.0014480.035955-0.001804-0.007089-0.001873
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST \\\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN NaN NaN \n", + "2015-04-02 -0.014998 -0.001348 0.002321 0.005360 0.006139 0.009209 \n", + "2015-04-06 0.004865 0.010732 0.019680 0.012786 0.008944 0.005721 \n", + "2015-04-07 0.001672 -0.001457 0.002719 -0.007000 -0.010247 -0.004733 \n", + "2015-04-08 0.007278 -0.000486 0.041379 0.017973 0.012696 0.001448 \n", + "\n", + " DLTR FOX Gold PEP \n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN \n", + "2015-04-02 -0.002216 0.016379 -0.008144 0.006290 \n", + "2015-04-06 -0.001727 0.007194 0.015806 0.008222 \n", + "2015-04-07 -0.004952 -0.005691 -0.017922 -0.002802 \n", + "2015-04-08 0.035955 -0.001804 -0.007089 -0.001873 " + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GOOGL 0.212306\n", + "FB 0.224318\n", + "NFLX 0.538202\n", + "AMZN 0.455631\n", + "BBBY -0.420122\n", + "COST 0.100268\n", + "DLTR 0.051696\n", + "FOX 0.047673\n", + "Gold 0.065021\n", + "PEP 0.074819\n", + "dtype: float64" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns_means= log_returns.mean()*252\n", + "log_returns_means" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Covariance Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
GOOGL0.0517030.0379230.0400840.0377610.0067590.0148090.0174740.0165260.0034150.011622
FB0.0379230.0638650.0413590.0411990.0062680.0123790.0157950.0182670.0048930.011475
NFLX0.0400840.0413590.1747640.0483290.0119440.0161290.0220530.0239560.0092600.011262
AMZN0.0377610.0411990.0483290.0774470.0043870.0130070.0151400.0202390.0055450.010551
BBBY0.0067590.0062680.0119440.0043870.0994060.0167190.0315560.0203580.0025650.004672
COST0.0148090.0123790.0161290.0130070.0167190.0345350.0216810.011282-0.0020430.010648
DLTR0.0174740.0157950.0220530.0151400.0315560.0216810.0798640.018325-0.0009600.010233
FOX0.0165260.0182670.0239560.0202390.0203580.0112820.0183250.0608080.0007150.008245
Gold0.0034150.0048930.0092600.0055450.002565-0.002043-0.0009600.0007150.1271630.006395
PEP0.0116220.0114750.0112620.0105510.0046720.0106480.0102330.0082450.0063950.017353
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR \\\n", + "GOOGL 0.051703 0.037923 0.040084 0.037761 0.006759 0.014809 0.017474 \n", + "FB 0.037923 0.063865 0.041359 0.041199 0.006268 0.012379 0.015795 \n", + "NFLX 0.040084 0.041359 0.174764 0.048329 0.011944 0.016129 0.022053 \n", + "AMZN 0.037761 0.041199 0.048329 0.077447 0.004387 0.013007 0.015140 \n", + "BBBY 0.006759 0.006268 0.011944 0.004387 0.099406 0.016719 0.031556 \n", + "COST 0.014809 0.012379 0.016129 0.013007 0.016719 0.034535 0.021681 \n", + "DLTR 0.017474 0.015795 0.022053 0.015140 0.031556 0.021681 0.079864 \n", + "FOX 0.016526 0.018267 0.023956 0.020239 0.020358 0.011282 0.018325 \n", + "Gold 0.003415 0.004893 0.009260 0.005545 0.002565 -0.002043 -0.000960 \n", + "PEP 0.011622 0.011475 0.011262 0.010551 0.004672 0.010648 0.010233 \n", + "\n", + " FOX Gold PEP \n", + "GOOGL 0.016526 0.003415 0.011622 \n", + "FB 0.018267 0.004893 0.011475 \n", + "NFLX 0.023956 0.009260 0.011262 \n", + "AMZN 0.020239 0.005545 0.010551 \n", + "BBBY 0.020358 0.002565 0.004672 \n", + "COST 0.011282 -0.002043 0.010648 \n", + "DLTR 0.018325 -0.000960 0.010233 \n", + "FOX 0.060808 0.000715 0.008245 \n", + "Gold 0.000715 0.127163 0.006395 \n", + "PEP 0.008245 0.006395 0.017353 " + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cov_mat = log_returns.cov()*252\n", + "cov_mat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Correlation Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
GOOGL1.0000000.6599480.4216820.5967270.0942830.3504610.2719330.2947320.0421170.388017
FB0.6599481.0000000.3914810.5858060.0786670.2635930.2211700.2931310.0542950.344700
NFLX0.4216820.3914811.0000000.4154080.0906210.2076110.1866700.2323870.0621170.204512
AMZN0.5967270.5858060.4154081.0000000.0500010.2514970.1925020.2949130.0558710.287823
BBBY0.0942830.0786670.0906210.0500011.0000000.2853470.3541650.2618500.0228180.112488
COST0.3504610.2635930.2076110.2514970.2853471.0000000.4128330.246201-0.0308320.434950
DLTR0.2719330.2211700.1866700.1925020.3541650.4128331.0000000.262965-0.0095270.274878
FOX0.2947320.2931310.2323870.2949130.2618500.2462010.2629651.0000000.0081360.253833
Gold0.0421170.0542950.0621170.0558710.022818-0.030832-0.0095270.0081361.0000000.136136
PEP0.3880170.3447000.2045120.2878230.1124880.4349500.2748780.2538330.1361361.000000
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR \\\n", + "GOOGL 1.000000 0.659948 0.421682 0.596727 0.094283 0.350461 0.271933 \n", + "FB 0.659948 1.000000 0.391481 0.585806 0.078667 0.263593 0.221170 \n", + "NFLX 0.421682 0.391481 1.000000 0.415408 0.090621 0.207611 0.186670 \n", + "AMZN 0.596727 0.585806 0.415408 1.000000 0.050001 0.251497 0.192502 \n", + "BBBY 0.094283 0.078667 0.090621 0.050001 1.000000 0.285347 0.354165 \n", + "COST 0.350461 0.263593 0.207611 0.251497 0.285347 1.000000 0.412833 \n", + "DLTR 0.271933 0.221170 0.186670 0.192502 0.354165 0.412833 1.000000 \n", + "FOX 0.294732 0.293131 0.232387 0.294913 0.261850 0.246201 0.262965 \n", + "Gold 0.042117 0.054295 0.062117 0.055871 0.022818 -0.030832 -0.009527 \n", + "PEP 0.388017 0.344700 0.204512 0.287823 0.112488 0.434950 0.274878 \n", + "\n", + " FOX Gold PEP \n", + "GOOGL 0.294732 0.042117 0.388017 \n", + "FB 0.293131 0.054295 0.344700 \n", + "NFLX 0.232387 0.062117 0.204512 \n", + "AMZN 0.294913 0.055871 0.287823 \n", + "BBBY 0.261850 0.022818 0.112488 \n", + "COST 0.246201 -0.030832 0.434950 \n", + "DLTR 0.262965 -0.009527 0.274878 \n", + "FOX 1.000000 0.008136 0.253833 \n", + "Gold 0.008136 1.000000 0.136136 \n", + "PEP 0.253833 0.136136 1.000000 " + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "corr_mat = log_returns.corr()\n", + "corr_mat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Random Weights via Monte Carlo Method" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[0.14365897, 0.15598001, 0.14344649, ..., 0.14458544, 0.14830179,\n", + " 0.1608611 ],\n", + " [0.1212781 , 0.08015034, 0.1584359 , ..., 0.10973662, 0.13775662,\n", + " 0.04444071],\n", + " [0.73979439, 0.41768393, 0.99992615, ..., 0.65522935, 0.82774875,\n", + " 0.18301947]]),\n", + " [array([0.00721621, 0.1210429 , 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array([0.01111141, 0.08669406, 0.01844244, 0.18431304, 0.10949344,\n", + " 0.20830149, 0.11370526, 0.09467743, 0.10552872, 0.06773271]),\n", + " array([0.14422741, 0.16855283, 0.09132139, 0.02932213, 0.03174803,\n", + " 0.19841926, 0.17370176, 0.06501256, 0.0518529 , 0.04584173]),\n", + " array([0.08828723, 0.17139588, 0.05866302, 0.01273473, 0.13680439,\n", + " 0.09922699, 0.19100129, 0.01926406, 0.1942047 , 0.0284177 ]),\n", + " array([0.01030694, 0.16592483, 0.0453421 , 0.15453393, 0.02094933,\n", + " 0.16027364, 0.15950635, 0.10040749, 0.07853189, 0.10422351]),\n", + " array([0.16769624, 0.24821184, 0.13318884, 0.01529491, 0.14735081,\n", + " 0.001325 , 0.00409831, 0.13489816, 0.14074756, 0.00718835]),\n", + " array([0.17601036, 0.01233587, 0.04562159, 0.17268878, 0.0294159 ,\n", + " 0.12246421, 0.14712697, 0.15395061, 0.10838673, 0.03199897]),\n", + " array([0.04821335, 0.15256083, 0.10541293, 0.03913129, 0.11258219,\n", + " 0.06873675, 0.142526 , 0.18155628, 0.01093903, 0.13834134]),\n", + " array([0.21323431, 0.05829953, 0.19491985, 0.08775652, 0.01096889,\n", + " 0.0121968 , 0.10049191, 0.18635472, 0.04637766, 0.0893998 ]),\n", + " array([0.18084342, 0.01531634, 0.11700155, 0.00980963, 0.12935608,\n", + " 0.1084728 , 0.16465622, 0.15931483, 0.10500723, 0.01022189]),\n", + " array([0.18217085, 0.01054827, 0.17545644, 0.11673187, 0.12011282,\n", + " 0.06740919, 0.12449346, 0.08116339, 0.00725569, 0.11465803]),\n", + " array([0.25558114, 0.16005126, 0.0351755 , 0.11716415, 0.09296201,\n", + " 0.05241595, 0.06782466, 0.02882028, 0.00513018, 0.18487487]),\n", + " array([0.17866776, 0.03725448, 0.13476633, 0.1406295 , 0.19311746,\n", + " 0.09657738, 0.07829468, 0.02482297, 0.09285965, 0.02300979]),\n", + " array([0.05469794, 0.11185323, 0.15229814, 0.1182524 , 0.03393173,\n", + " 0.08447292, 0.02211322, 0.1478366 , 0.15666219, 0.11788164]),\n", + " array([0.20485943, 0.037932 , 0.03179393, 0.12861953, 0.09436224,\n", + " 0.14023043, 0.00651804, 0.03909547, 0.18811406, 0.12847486]),\n", + " array([0.11373155, 0.16514064, 0.11267349, 0.01111252, 0.10469415,\n", + " 0.0680973 , 0.17196459, 0.094864 , 0.03896331, 0.11875845]),\n", + " array([0.07451006, 0.10612945, 0.04760325, 0.03191719, 0.16124312,\n", + " 0.05130616, 0.14348061, 0.14207844, 0.06039007, 0.18134166]),\n", + " array([0.08678193, 0.16405867, 0.00711133, 0.12406191, 0.13282726,\n", + " 0.05212918, 0.07482039, 0.15407259, 0.05481787, 0.14931889]),\n", + " array([0.17109833, 0.04961803, 0.02089413, 0.0761797 , 0.02671954,\n", + " 0.14508052, 0.13284526, 0.15569619, 0.05306937, 0.16879893]),\n", + " array([0.04132129, 0.11011551, 0.14449747, 0.12789965, 0.16203963,\n", + " 0.00985717, 0.07692267, 0.14591718, 0.06454798, 0.11688145]),\n", + " array([0.02709857, 0.10501085, 0.07900816, 0.13837497, 0.03327491,\n", + " 0.1688705 , 0.05861381, 0.1843428 , 0.17271109, 0.03269434]),\n", + " array([0.19009332, 0.05265951, 0.13045178, 0.01375346, 0.08174481,\n", + " 0.06033619, 0.19065492, 0.1310321 , 0.09570433, 0.05356959]),\n", + " array([0.17431643, 0.10827034, 0.17958351, 0.04354991, 0.17881418,\n", + " 0.02820848, 0.0984047 , 0.06243497, 0.03663482, 0.08978265]),\n", + " array([0.02559706, 0.11453335, 0.01519244, 0.14723653, 0.12452282,\n", + " 0.15254935, 0.0055397 , 0.13288804, 0.12668364, 0.15525706]),\n", + " array([0.10794993, 0.01652404, 0.02459562, 0.10510014, 0.18639997,\n", + " 0.11610261, 0.16468388, 0.01414721, 0.16915579, 0.09534082]),\n", + " array([0.00246817, 0.12586399, 0.21630199, 0.06671084, 0.13288544,\n", + " 0.0055992 , 0.10550459, 0.1031519 , 0.08294561, 0.15856826]),\n", + " array([0.05494329, 0.19614101, 0.22760015, 0.01629745, 0.04308616,\n", + " 0.17863822, 0.05461068, 0.01535941, 0.10868462, 0.104639 ]),\n", + " array([0.06538286, 0.15446892, 0.14056003, 0.01030605, 0.18111848,\n", + " 0.11336031, 0.1446684 , 0.12287524, 0.05870889, 0.00855083]),\n", + " array([0.01465805, 0.18045164, 0.18456722, 0.10549984, 0.06648088,\n", + " 0.07853002, 0.19548417, 0.02840443, 0.14151915, 0.00440461]),\n", + " array([0.1340934 , 0.09857616, 0.18943314, 0.12214076, 0.05332166,\n", + " 0.05239469, 0.13872235, 0.0331421 , 0.02385813, 0.15431761]),\n", + " array([0.07797305, 0.14267823, 0.14419712, 0.1010941 , 0.11953126,\n", + " 0.03754721, 0.0038741 , 0.05186056, 0.22614704, 0.09509733]),\n", + " array([0.17645809, 0.0690575 , 0.03108424, 0.05070166, 0.03337201,\n", + " 0.0954589 , 0.14493383, 0.14882511, 0.2025763 , 0.04753236]),\n", + " array([0.12936392, 0.05872755, 0.12455744, 0.0936437 , 0.12305644,\n", + " 0.13270048, 0.05959047, 0.10595395, 0.04897952, 0.12342653]),\n", + " array([0.0841279 , 0.11423286, 0.02418887, 0.09592404, 0.10236484,\n", + " 0.10591897, 0.16692178, 0.04300236, 0.14086455, 0.12245382]),\n", + " array([0.08833364, 0.0927477 , 0.14916551, 0.15738666, 0.01542564,\n", + " 0.10858473, 0.14464993, 0.1152233 , 0.11829815, 0.01018475]),\n", + " array([0.11589737, 0.00781403, 0.00750522, 0.1522039 , 0.13896155,\n", + " 0.15102605, 0.08344973, 0.13776778, 0.13116347, 0.07421089]),\n", + " array([0.10983777, 0.11829077, 0.13866346, 0.02648537, 0.00453153,\n", + " 0.16822739, 0.12862823, 0.0348992 , 0.20262756, 0.06780872]),\n", + " array([0.15181022, 0.09323981, 0.170544 , 0.01853312, 0.17805016,\n", + " 0.06853808, 0.04235512, 0.01262092, 0.17185556, 0.09245301]),\n", + " array([1.64953716e-01, 1.90873412e-01, 1.06574974e-04, 3.98013880e-03,\n", + " 8.86738523e-02, 2.38050759e-01, 4.88574176e-03, 2.33166210e-01,\n", + " 2.25364168e-02, 5.27731788e-02]),\n", + " array([0.00395326, 0.0881402 , 0.03741094, 0.07666926, 0.0696539 ,\n", + " 0.08275892, 0.16967833, 0.17478523, 0.17079624, 0.12615372]),\n", + " array([0.03531529, 0.11664355, 0.03513399, 0.06484236, 0.1506378 ,\n", + " 0.01077521, 0.13092267, 0.14056352, 0.17696534, 0.13820028]),\n", + " array([0.14316375, 0.01532794, 0.0832607 , 0.12964097, 0.12222655,\n", + " 0.11286999, 0.14250349, 0.03209382, 0.09226243, 0.12665036]),\n", + " array([0.08451629, 0.11540364, 0.05520054, 0.10606425, 0.05372598,\n", + " 0.00965994, 0.15668624, 0.15403229, 0.10847533, 0.1562355 ]),\n", + " array([0.13780382, 0.13451044, 0.02025485, 0.13874527, 0.15807333,\n", + " 0.05590489, 0.03647011, 0.09145491, 0.1084345 , 0.11834789]),\n", + " array([0.04678254, 0.08501236, 0.05075969, 0.16725875, 0.1236572 ,\n", + " 0.1009111 , 0.00159288, 0.02619061, 0.19905331, 0.19878156]),\n", + " array([0.11155638, 0.05647811, 0.1158769 , 0.11931287, 0.1697776 ,\n", + " 0.08518192, 0.19184025, 0.1093078 , 0.00836325, 0.03230493]),\n", + " array([0.19186053, 0.09044691, 0.03548495, 0.15438165, 0.17645 ,\n", + " 0.07173303, 0.00144406, 0.02632447, 0.10973395, 0.14214045]),\n", + " array([0.06267345, 0.15576047, 0.04763074, 0.13018616, 0.05531776,\n", + " 0.0112007 , 0.17689239, 0.0021719 , 0.17996634, 0.17820009]),\n", + " array([0.08409018, 0.00561239, 0.10033118, 0.08954145, 0.06536282,\n", + " 0.06592096, 0.14713297, 0.15423766, 0.15606872, 0.13170166]),\n", + " array([0.16535247, 0.06693312, 0.09583734, 0.06868185, 0.06376625,\n", + " 0.10142641, 0.01348243, 0.17336709, 0.05465195, 0.19650109]),\n", + " array([0.18222757, 0.04604125, 0.13937637, 0.00181643, 0.04636979,\n", + " 0.1431317 , 0.08352766, 0.16638391, 0.16470413, 0.02642118]),\n", + " array([0.20759664, 0.10318996, 0.14437318, 0.00153668, 0.13192291,\n", + " 0.04450091, 0.05754869, 0.05522436, 0.14888608, 0.10522058]),\n", + " array([0.12063368, 0.12449786, 0.18473222, 0.132115 , 0.1714339 ,\n", + " 0.11274651, 0.04941458, 0.04300001, 0.02654252, 0.03488372]),\n", + " array([0.13670028, 0.11981673, 0.04954569, 0.06235241, 0.04249178,\n", + " 0.04432536, 0.0792099 , 0.17189239, 0.18488557, 0.10877988]),\n", + " array([0.0052904 , 0.0687146 , 0.15741252, 0.12522455, 0.1480048 ,\n", + " 0.0942357 , 0.14196717, 0.1306195 , 0.00535582, 0.12317495]),\n", + " array([0.14649788, 0.14585687, 0.03420978, 0.04946841, 0.06283472,\n", + " 0.10257779, 0.09243968, 0.12594614, 0.1411642 , 0.09900453]),\n", + " array([0.05622334, 0.00243648, 0.13144417, 0.10690451, 0.16692221,\n", + " 0.16049311, 0.13170968, 0.09023873, 0.10873094, 0.04489684]),\n", + " array([0.13227732, 0.11323541, 0.0723008 , 0.02606157, 0.15455196,\n", + " 0.07661428, 0.14572296, 0.04948988, 0.18663005, 0.04311578]),\n", + " array([0.13948739, 0.02382285, 0.10376829, 0.05398243, 0.09813079,\n", + " 0.03700858, 0.18541715, 0.04315651, 0.17850752, 0.13671848]),\n", + " array([0.10905316, 0.07852891, 0.01461768, 0.01968229, 0.13007897,\n", + " 0.05593072, 0.16881881, 0.15538188, 0.14754618, 0.1203614 ]),\n", + " array([0.17696909, 0.00691735, 0.20615344, 0.15672133, 0.15140178,\n", + " 0.04865053, 0.0345249 , 0.00590242, 0.02739261, 0.18536657]),\n", + " array([0.14042816, 0.04889373, 0.09493065, 0.04326792, 0.07754424,\n", + " 0.15217186, 0.19098058, 0.12865277, 0.01669547, 0.10643464]),\n", + " array([0.01558708, 0.10279952, 0.07025234, 0.16593497, 0.0214641 ,\n", + " 0.05475168, 0.14608688, 0.18592205, 0.13337878, 0.10382259]),\n", + " array([0.16987505, 0.0787186 , 0.18185074, 0.00889731, 0.22094808,\n", + " 0.09567615, 0.01185454, 0.11609493, 0.10830389, 0.00778071]),\n", + " array([0.1624777 , 0.0407787 , 0.13428177, 0.15867581, 0.11750585,\n", + " 0.12568631, 0.02110866, 0.14227316, 0.07656854, 0.0206435 ]),\n", + " array([0.04907604, 0.15106167, 0.01736232, 0.18924981, 0.17791786,\n", + " 0.11318508, 0.03194402, 0.02166581, 0.11251217, 0.13602524]),\n", + " array([0.01406416, 0.09376468, 0.19221183, 0.0643647 , 0.15434257,\n", + " 0.14485943, 0.13288639, 0.03724747, 0.08746668, 0.0787921 ]),\n", + " array([0.0922495 , 0.00428849, 0.09805901, 0.06732334, 0.202352 ,\n", + " 0.09246199, 0.16375345, 0.11057068, 0.14420297, 0.02473857]),\n", + " array([0.16799648, 0.07147752, 0.00632314, 0.09985541, 0.15852442,\n", + " 0.03611381, 0.10246027, 0.19079898, 0.05260444, 0.11384554]),\n", + " array([0.11022659, 0.00564455, 0.18321353, 0.17849662, 0.07392299,\n", + " 0.20316059, 0.03897384, 0.09837106, 0.00064598, 0.10734424]),\n", + " array([0.20509087, 0.07843359, 0.14263926, 0.02354766, 0.05290036,\n", + " 0.16375955, 0.10111938, 0.10620559, 0.10085835, 0.02544539]),\n", + " array([0.14652227, 0.13632645, 0.06657642, 0.17187011, 0.12949372,\n", + " 0.15251211, 0.00988741, 0.03318292, 0.02977214, 0.12385646]),\n", + " array([0.02638758, 0.11491186, 0.13767136, 0.05791448, 0.1363802 ,\n", + " 0.12740337, 0.10811469, 0.10236888, 0.09372318, 0.0951244 ]),\n", + " array([0.02476369, 0.09313117, 0.07724799, 0.10605613, 0.10441385,\n", + " 0.04058551, 0.17830957, 0.0876468 , 0.1164281 , 0.17141718]),\n", + " array([0.03135659, 0.13074268, 0.11625298, 0.03528752, 0.11040392,\n", + " 0.06898597, 0.12686117, 0.1148045 , 0.10473239, 0.16057227]),\n", + " array([0.17749605, 0.12023795, 0.19481185, 0.22089279, 0.01781004,\n", + " 0.05753799, 0.01976775, 0.00909795, 0.03219062, 0.150157 ]),\n", + " array([0.19100132, 0.17676192, 0.02268892, 0.04050949, 0.16742623,\n", + " 0.06531871, 0.06027632, 0.17016865, 0.07467832, 0.03117012]),\n", + " array([0.00456929, 0.08996042, 0.00837456, 0.05542808, 0.04423269,\n", + " 0.17968295, 0.20054057, 0.21634663, 0.08638043, 0.11448437]),\n", + " array([0.0065602 , 0.00335797, 0.1364931 , 0.13509822, 0.11680957,\n", + " 0.04544636, 0.20138423, 0.05321872, 0.2048429 , 0.09678873]),\n", + " array([0.00888117, 0.06977789, 0.14355272, 0.04068438, 0.2006082 ,\n", + " 0.13580031, 0.03962016, 0.09478016, 0.01762805, 0.24866696]),\n", + " array([1.60981081e-01, 4.77946083e-02, 6.72867535e-02, 1.45019929e-01,\n", + " 1.41662203e-04, 1.46436634e-01, 7.48956466e-02, 9.46331685e-02,\n", + " 7.91049789e-02, 1.83705538e-01]),\n", + " array([0.00606513, 0.14365662, 0.20308967, 0.22269123, 0.03908114,\n", + " 0.12672761, 0.04717374, 0.05340889, 0.10496805, 0.05313792]),\n", + " array([0.05299615, 0.04920596, 0.08828868, 0.08384212, 0.09939781,\n", + " 0.13258954, 0.10357191, 0.00861616, 0.19782116, 0.18367052]),\n", + " array([0.02567479, 0.06601139, 0.04794084, 0.12286512, 0.05400727,\n", + " 0.03537507, 0.13833499, 0.22264399, 0.03464051, 0.25250603]),\n", + " ...])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "number_ports = 25000\n", + "number_assets = len(assets.columns)\n", + "Rf = .015\n", + "weight_log=[]\n", + "port_info = np.zeros((3,25000))\n", + "for x in range(number_ports): \n", + " weights = np.random.random(number_assets)\n", + " weights /= np.sum(weights)\n", + " #Save Weights\n", + " weight_log.append(weights)\n", + " #Expected Returns\n", + " pret = np.sum(weights*log_returns.mean())*252\n", + " #Save Expected Returns\n", + " port_info[1,x] = pret\n", + " #Expected Volatility\n", + " pvol = np.sqrt(np.dot(weights.T,np.dot(log_returns.cov()*252, weights)))\n", + " #Save Expected Volatility\n", + " port_info[0,x] = pvol\n", + " #Save Sharpe Ratio\n", + " port_info[2,x] =(pret - Rf)/pvol\n", + " \n", + "port_info,weight_log " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "( GOOGL FB NFLX AMZN BBBY COST DLTR FOX \\\n", + " Max_Sharpe_Allocation 3.06 1.87 24.7 26.07 1.08 12.29 5.43 2.92 \n", + " \n", + " Gold PEP \n", + " Max_Sharpe_Allocation 5.29 17.29 ,\n", + " GOOGL FB NFLX AMZN BBBY COST DLTR FOX Gold \\\n", + " Min_Vol_Allocation 13.48 0.43 0.05 5.81 5.71 26.73 3.45 5.59 12.31 \n", + " \n", + " PEP \n", + " Min_Vol_Allocation 26.46 )" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max_sharpe_idx = np.argmax(port_info[2])#Provides index location of Max Sharpe Ratio\n", + "sdp, rp = port_info[0,max_sharpe_idx], port_info[1,max_sharpe_idx]\n", + "max_sharpe_allocation = pd.DataFrame(weight_log[max_sharpe_idx],index=returns.columns,columns=['Max_Sharpe_Allocation'])\n", + "max_sharpe_allocation.Max_Sharpe_Allocation = [round(i*100,2)for i in max_sharpe_allocation.Max_Sharpe_Allocation]\n", + "max_sharpe_allocation = max_sharpe_allocation.T\n", + "\n", + "min_vol_idx = np.argmin(port_info[0])\n", + "sdp_min, rp_min = port_info[0,min_vol_idx], port_info[1,min_vol_idx]\n", + "min_vol_allocation = pd.DataFrame(weight_log[min_vol_idx],index=returns.columns,columns=['Min_Vol_Allocation'])\n", + "min_vol_allocation.Min_Vol_Allocation = [round(i*100,2)for i in min_vol_allocation.Min_Vol_Allocation]\n", + "min_vol_allocation = min_vol_allocation.T\n", + "\n", + "max_sharpe_allocation,min_vol_allocation" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ZizmIepF4BSI1i2/QoyAliIYRSVA3DJqfegPxEBIPou3dFp8lPZzM0Sqadk1X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Y1/YTGlCkkSo90WGvaw968jlaqrkBB2CS69MNYnH7ZxBGEbM7uEbTdIdjd+7YAr2rxDfO86EhQo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PkDb7BEtVvJkSSaPH5jfeQSiJTnJmPnUYt1ZCFfoopxrgzZZZ+OIpolstvLkS4YHJfMa9kI4i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73v6+hngWaJk5uv37w8KFcMYZXvn4LaGkxOu/cKE3XhMYNGgQy5YtY9KkSRxz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0sFabngxrqG6Q7C9FhjnlKSpKA6WeOsBXDHyoUbf9vK+olqxYUhYz8z/1EMyp0dONNTt2HB3RPT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\nuA4Hh3xvzcwD/Aa4OQ1xHS4a8nd3ELDHzP5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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,7))\n", + "plt.scatter(port_info[0,:],port_info[1,:],c=port_info[2,:],cmap='plasma', marker='o', s=10, alpha=0.3)\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "plt.xlabel('Volatility')\n", + "plt.ylabel('Returns')\n", + "plt.scatter(sdp,rp,marker='*',color='r',s=500, label='Maximum Sharpe ratio')\n", + "plt.scatter(sdp_min,rp_min,marker='*',color='b',s=500, label='Minimum volatility')\n", + "plt.show()\n", + "\n", + "#\n", + "plt.figure(figsize=(10, 7))\n", + "#Assign data to axis, Vol,Returns, C= Sharpe Ratio, Cmap = 'Style'\n", + "plt.scatter(port_info[0,:],port_info[1,:],c=port_info[2,:],cmap='plasma')\n", + "#Label Colorbar\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "#Label Maximum Sharpe and Minimum Vol\n", + "plt.scatter(sdp,rp,marker='*',color='b',s=500, label='Maximum Sharpe ratio')\n", + "plt.scatter(sdp_min,rp_min,marker='*',color='r',s=500, label='Minimum volatility')\n", + "#Provide a title\n", + "plt.title('Portfolio Optimization - Efficient Frontier')\n", + "plt.grid(True)\n", + "#Label X and Y Access\n", + "plt.xlabel('Volatility')\n", + "plt.ylabel('Returns')\n", + "plt.legend(labelspacing=0.8)\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Optimization - Maximum Sharpe Ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: -1.7127920851531224\n", + " jac: array([ 0.11540911, 0.13836393, -0.05567932, -0.05621485, 1.72263229,\n", + " -0.04763238, 0.20887129, 0.32444508, -0.05409127, -0.02379861])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 62\n", + " nit: 5\n", + " njev: 5\n", + " status: 0\n", + " success: True\n", + " x: array([0.00000000e+00, 2.99973863e-16, 2.67967210e-01, 7.21511770e-01,\n", + " 0.00000000e+00, 2.40231153e-16, 3.80254917e-16, 3.40411189e-17,\n", + " 1.05210201e-02, 2.47228194e-16])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def optim_info(weights, returns, cov_mat):\n", + " pvol = np.sqrt(np.dot(weights.T,np.dot(cov_mat, weights)))\n", + " pret = np.sum(weights*log_returns.mean())*252\n", + " return np.array([pret,pvol,(pret-Rf)/pvol])\n", + " \n", + "def neg_sharpe_ratio(weights, returns):\n", + " return -optim_info(weights,returns, cov_mat)[2]\n", + "\n", + "\n", + "args = (log_returns.mean(), cov_mat, Rf)\n", + "constraints = ({'type': 'eq', 'fun': lambda x: np.sum(x) - 1})\n", + "bound = (0.0,1.0)\n", + "bounds = tuple(bound for x in range(number_assets))\n", + "optimized = sco.minimize(neg_sharpe_ratio, weights, args=log_returns.mean(),\n", + " method='SLSQP', bounds=bounds, constraints=constraints)\n", + "optimized" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR FOX \\\n", + "Max_Sharpe_Opt_Weights 0.0 0.0 0.268 0.722 0.0 0.0 0.0 0.0 \n", + "\n", + " Gold PEP \n", + "Max_Sharpe_Opt_Weights 0.011 0.0 \n", + "Expected return, volatility and Sharpe ratio: [0.47364764 0.26777777 1.71279209]\n" + ] + } + ], + "source": [ + "Max_Sharpe_Opt_Weights = pd.DataFrame(optimized['x'].round(3),returns.columns, columns=['Max_Sharpe_Opt_Weights'])\n", + "print(Max_Sharpe_Opt_Weights.T)\n", + "print(\"Expected return, volatility and Sharpe ratio:\",optim_info(optimized['x'], returns, cov_mat))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Optimization - Minimum Volatility" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: 0.11677811988473649\n", + " jac: array([0.1163002 , 0.11686035, 0.12823888, 0.11702894, 0.11676697,\n", + " 0.11678104, 0.11672872, 0.11697163, 0.11677704, 0.1167593 ])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 120\n", + " nit: 10\n", + " njev: 10\n", + " status: 0\n", + " success: True\n", + " x: array([2.31577338e-02, 1.98342299e-02, 2.46655994e-18, 2.30710584e-02,\n", + " 6.39532523e-02, 1.37796023e-01, 4.20950184e-03, 7.77675190e-02,\n", + " 7.65168192e-02, 5.73693862e-01])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def portfolio_volatility(weights, mean_returns, cov_mat):\n", + " return optim_info(weights, mean_returns, cov_mat)[1]\n", + "\n", + "\n", + "args = (log_returns.mean(), cov_mat)\n", + "constraints = ({'type': 'eq', 'fun': lambda x: np.sum(x) - 1})\n", + "bound = (0.0,1.0)\n", + "bounds = tuple(bound for asset in range(number_assets))\n", + "optimized1 = sco.minimize(portfolio_volatility, number_assets*[1./number_assets,], args=args,\n", + " method='SLSQP', bounds=bounds, constraints=constraints)\n", + "optimized1" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR FOX \\\n", + "Min_Vol_Opt_Weights 0.023 0.02 0.0 0.023 0.064 0.138 0.004 0.078 \n", + "\n", + " Gold PEP \n", + "Min_Vol_Opt_Weights 0.077 0.574 \n", + "Expected return, volatility and Sharpe ratio: [0.05864926 0.11677812 0.37377944]\n" + ] + } + ], + "source": [ + "Min_Vol_Opt_Weights = pd.DataFrame(optimized1['x'].round(3),returns.columns, columns=['Min_Vol_Opt_Weights'])\n", + "print(Min_Vol_Opt_Weights.T)\n", + "\n", + "print(\"Expected return, volatility and Sharpe ratio:\",optim_info(optimized1['x'],returns, cov_mat))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Optimize Portfolios for a Target Return" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " GOOGL FB NFLX AMZN BBBY COST DLTR \\\n", + "Efficient_Portfolio_Weights 0.02 0.016 0.003 0.058 0.029 0.153 0.009 \n", + "\n", + " FOX Gold PEP \n", + "Efficient_Portfolio_Weights 0.075 0.077 0.559 \n", + "Expected return, volatility and Sharpe ratio: [0.09 0.11764915 0.63748869]\n" + ] + } + ], + "source": [ + "def efficient_return(mean_returns, cov_matrix, target):\n", + " num_assets = len(mean_returns)\n", + " args = (mean_returns, cov_matrix)\n", + "\n", + " def portfolio_return(weights):\n", + " return optim_info(weights, mean_returns, cov_mat)[0]\n", + "\n", + " constraints = ({'type': 'eq', 'fun': lambda x: portfolio_return(x) - target},\n", + " {'type': 'eq', 'fun': lambda x: np.sum(x) - 1})\n", + " bounds = tuple((0,1) for asset in range(num_assets))\n", + " eff_port_return = sco.minimize(portfolio_volatility, weights, args=args, method='SLSQP', bounds=bounds, constraints=constraints)\n", + " return eff_port_return\n", + "\n", + "\n", + "Target_Portfolio = efficient_return(log_returns.mean(),cov_mat, .09) #Adjust Last Param for Target Vol\n", + "Efficient_Portfolio_Weights = pd.DataFrame(Target_Portfolio['x'].round(3),returns.columns, columns=['Efficient_Portfolio_Weights'])\n", + "print(Efficient_Portfolio_Weights.T)\n", + "print(\"Expected return, volatility and Sharpe ratio:\",optim_info(Target_Portfolio['x'],returns, cov_mat))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Optimized Portfolios within a Range" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def efficient_frontier(mean_returns, cov_matrix, returns_range):\n", + " efficients = []\n", + " for ret in returns_range:\n", + " efficients.append(efficient_return(mean_returns, cov_matrix, ret))\n", + " return efficients\n", + "\n", + "returnsRange = np.linspace(0.0,0.5,50) \n", + "eff_RangePorts=efficient_frontier(log_returns.mean(),cov_mat,returnsRange)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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lrZ9E0h6ewDXCEAZCiGmisxM2bLCf19dDVxdUVOQ3pmMUDHhYMUma6iaaJE5i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\noz/i3HPP5eSTT2bt2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "plt.scatter(port_info[0,:],port_info[1,:],c=port_info[2,:],cmap='YlGnBu', marker='o', s=10, alpha=0.3)\n", + "plt.colorbar()\n", + "plt.scatter(sdp,rp,marker='*',color='r',s=500, label='Maximum Sharpe ratio')\n", + "plt.scatter(sdp_min,rp_min,marker='*',color='g',s=500, label='Minimum volatility')\n", + "\n", + "target = np.linspace(rp_min, 0.32, 250)\n", + "efficient_portfolios = efficient_frontier(log_returns_means, cov_mat, target)\n", + "plt.plot([p['fun'] for p in efficient_portfolios], target, linestyle='-.', color='black', label='efficient frontier')\n", + "plt.title('Calculated Portfolio Optimization based on Efficient Frontier')\n", + "plt.xlabel('annualised volatility')\n", + "plt.ylabel('annualised returns')\n", + "plt.legend(labelspacing=0.8)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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XaN++PaGhoXzyyScAxMXFERkZSb9+/bj99tsZNGgQWmvef/99jh8/TpcuXejSpUuR4k1O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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sdp, rp, cmp = optim_info(optimized['x'], returns, cov_mat)\n", + "sdp_min, rp_min, cmpmin = optim_info(optimized1['x'],returns, cov_mat)\n", + "\n", + "an_vol = np.std(log_returns) * np.sqrt(252)\n", + "an_rt = log_returns.mean() * 252\n", + "fig, ax = plt.subplots(figsize=(10, 7))\n", + "ax.scatter(an_vol,an_rt,marker='o',s=200)\n", + "for i, txt in enumerate(returns.columns):\n", + " ax.annotate(txt, (an_vol[i],an_rt[i]), xytext=(10,0), textcoords='offset points')\n", + "ax.scatter(sdp,rp,marker='*',color='r',s=500, label='Maximum Sharpe ratio')\n", + "ax.scatter(sdp_min,rp_min,marker='*',color='g',s=500, label='Minimum volatility')\n", + "target = np.linspace(rp_min, rp, 50)\n", + "efficient_portfolios = efficient_frontier(log_returns.mean(), cov_mat, target)\n", + "ax.plot([p['fun'] for p in efficient_portfolios], target, linestyle='-.', color='black', label='Efficient Frontier')\n", + "ax.set_title('Portfolio Optimization with Individual Stocks')\n", + "ax.set_xlabel('Annualized Volatility')\n", + "ax.set_ylabel('Annualized Returns')\n", + "ax.legend(labelspacing=0.8)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Portfolio_2.csv b/Portfolio_2.csv new file mode 100644 index 0000000..490cf0f --- /dev/null +++ b/Portfolio_2.csv @@ -0,0 +1,756 @@ +Date,GOOGL,FB,NFLX,AMZN,BBBY,COST,DLTR,FOX,Gold,PEP +2015-04-01,549.48999,81.669998,59.017143,370.26001,73.779182,139.5914,81.300003,31.535204,68.52388,87.257195 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+ "import pandas as pd \n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "#load csv containing return data on assets\n", + "assets = pd.read_csv('/home/Portfolio_2.csv',header='infer',index_col='Date') " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Date
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Date
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Date
2015-04-01NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
2015-04-02-0.014887-0.0013470.0023240.0053750.0061580.009252-0.0022140.016514-0.0081110.006310
2015-04-060.0048770.0107900.0198750.0128680.0089840.005738-0.0017260.0072200.0159310.008256
2015-04-070.001673-0.0014560.002723-0.006975-0.010195-0.004721-0.004940-0.005675-0.017763-0.002799
2015-04-080.007305-0.0004860.0422470.0181350.0127770.0014490.036610-0.001802-0.007064-0.001871
\n", + "
" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST \\\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN NaN NaN \n", + "2015-04-02 -0.014887 -0.001347 0.002324 0.005375 0.006158 0.009252 \n", + "2015-04-06 0.004877 0.010790 0.019875 0.012868 0.008984 0.005738 \n", + "2015-04-07 0.001673 -0.001456 0.002723 -0.006975 -0.010195 -0.004721 \n", + "2015-04-08 0.007305 -0.000486 0.042247 0.018135 0.012777 0.001449 \n", + "\n", + " DLTR FOX Gold PEP \n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN \n", + "2015-04-02 -0.002214 0.016514 -0.008111 0.006310 \n", + "2015-04-06 -0.001726 0.007220 0.015931 0.008256 \n", + "2015-04-07 -0.004940 -0.005675 -0.017763 -0.002799 \n", + "2015-04-08 0.036610 -0.001802 -0.007064 -0.001871 " + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "returns = (assets/assets.shift(1))-1\n", + "returns.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Check Distribution of Returns" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
Date
2015-04-01NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
2015-04-02-0.014998-0.0013480.0023210.0053600.0061390.009209-0.0022160.016379-0.0081440.006290
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2015-04-070.001672-0.0014570.002719-0.007000-0.010247-0.004733-0.004952-0.005691-0.017922-0.002802
2015-04-080.007278-0.0004860.0413790.0179730.0126960.0014480.035955-0.001804-0.007089-0.001873
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" + ], + "text/plain": [ + " GOOGL FB NFLX AMZN BBBY COST \\\n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN NaN NaN \n", + "2015-04-02 -0.014998 -0.001348 0.002321 0.005360 0.006139 0.009209 \n", + "2015-04-06 0.004865 0.010732 0.019680 0.012786 0.008944 0.005721 \n", + "2015-04-07 0.001672 -0.001457 0.002719 -0.007000 -0.010247 -0.004733 \n", + "2015-04-08 0.007278 -0.000486 0.041379 0.017973 0.012696 0.001448 \n", + "\n", + " DLTR FOX Gold PEP \n", + "Date \n", + "2015-04-01 NaN NaN NaN NaN \n", + "2015-04-02 -0.002216 0.016379 -0.008144 0.006290 \n", + "2015-04-06 -0.001727 0.007194 0.015806 0.008222 \n", + "2015-04-07 -0.004952 -0.005691 -0.017922 -0.002802 \n", + "2015-04-08 0.035955 -0.001804 -0.007089 -0.001873 " + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "GOOGL 0.212306\n", + "FB 0.224318\n", + "NFLX 0.538202\n", + "AMZN 0.455631\n", + "BBBY -0.420122\n", + "COST 0.100268\n", + "DLTR 0.051696\n", + "FOX 0.047673\n", + "Gold 0.065021\n", + "PEP 0.074819\n", + "dtype: float64" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_returns.mean()*252" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Covariance Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
GOOGL0.0517030.0379230.0400840.0377610.0067590.0148090.0174740.0165260.0034150.011622
FB0.0379230.0638650.0413590.0411990.0062680.0123790.0157950.0182670.0048930.011475
NFLX0.0400840.0413590.1747640.0483290.0119440.0161290.0220530.0239560.0092600.011262
AMZN0.0377610.0411990.0483290.0774470.0043870.0130070.0151400.0202390.0055450.010551
BBBY0.0067590.0062680.0119440.0043870.0994060.0167190.0315560.0203580.0025650.004672
COST0.0148090.0123790.0161290.0130070.0167190.0345350.0216810.011282-0.0020430.010648
DLTR0.0174740.0157950.0220530.0151400.0315560.0216810.0798640.018325-0.0009600.010233
FOX0.0165260.0182670.0239560.0202390.0203580.0112820.0183250.0608080.0007150.008245
Gold0.0034150.0048930.0092600.0055450.002565-0.002043-0.0009600.0007150.1271630.006395
PEP0.0116220.0114750.0112620.0105510.0046720.0106480.0102330.0082450.0063950.017353
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GOOGLFBNFLXAMZNBBBYCOSTDLTRFOXGoldPEP
GOOGL1.0000000.6599480.4216820.5967270.0942830.3504610.2719330.2947320.0421170.388017
FB0.6599481.0000000.3914810.5858060.0786670.2635930.2211700.2931310.0542950.344700
NFLX0.4216820.3914811.0000000.4154080.0906210.2076110.1866700.2323870.0621170.204512
AMZN0.5967270.5858060.4154081.0000000.0500010.2514970.1925020.2949130.0558710.287823
BBBY0.0942830.0786670.0906210.0500011.0000000.2853470.3541650.2618500.0228180.112488
COST0.3504610.2635930.2076110.2514970.2853471.0000000.4128330.246201-0.0308320.434950
DLTR0.2719330.2211700.1866700.1925020.3541650.4128331.0000000.262965-0.0095270.274878
FOX0.2947320.2931310.2323870.2949130.2618500.2462010.2629651.0000000.0081360.253833
Gold0.0421170.0542950.0621170.0558710.022818-0.030832-0.0095270.0081361.0000000.136136
PEP0.3880170.3447000.2045120.2878230.1124880.4349500.2748780.2538330.1361361.000000
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0.18315123]),\n", + " array([0.06366986, 0.02597237, 0.08308178, 0.15586593, 0.10442044,\n", + " 0.12179229, 0.02179521, 0.14910569, 0.15507038, 0.11922605]),\n", + " array([0.09125796, 0.13058806, 0.05078256, 0.15175965, 0.00120691,\n", + " 0.1225246 , 0.14735933, 0.02876947, 0.2121847 , 0.06356675]),\n", + " array([0.16074211, 0.22915494, 0.01563745, 0.21055055, 0.13449458,\n", + " 0.04474221, 0.05765567, 0.08073622, 0.02371057, 0.0425757 ]),\n", + " array([0.11224742, 0.18496549, 0.11958088, 0.19050752, 0.16556244,\n", + " 0.08615729, 0.07037013, 0.03488126, 0.02855108, 0.00717648]),\n", + " array([0.15559073, 0.10300061, 0.09884088, 0.11626713, 0.15183281,\n", + " 0.03124157, 0.08173175, 0.11795721, 0.01391231, 0.129625 ]),\n", + " array([0.06555335, 0.11568129, 0.1392285 , 0.19010071, 0.15670193,\n", + " 0.01284137, 0.10945171, 0.09023529, 0.01636616, 0.10383969]),\n", + " array([0.10350871, 0.04563025, 0.16072181, 0.01090945, 0.16133701,\n", + " 0.15412885, 0.06254707, 0.09636372, 0.10113412, 0.10371903]),\n", + " array([0.12288421, 0.08772539, 0.0915363 , 0.05192214, 0.06190901,\n", + " 0.14948191, 0.17558794, 0.12574011, 0.07460812, 0.05860486]),\n", + " array([0.05543656, 0.03867043, 0.15795629, 0.16091069, 0.12273018,\n", + " 0.1451448 , 0.06578475, 0.08124772, 0.10598837, 0.06613021]),\n", + " array([0.13274345, 0.14103761, 0.09883075, 0.01011622, 0.03988299,\n", + " 0.19973453, 0.11873363, 0.08602132, 0.15047703, 0.02242247]),\n", + " array([0.08135671, 0.15948267, 0.10792297, 0.17243893, 0.16491349,\n", + " 0.14485155, 0.10309751, 0.01990918, 0.0116734 , 0.03435359]),\n", + " array([0.13771123, 0.04539722, 0.16716912, 0.05270206, 0.14301033,\n", + " 0.16432965, 0.10532415, 0.08251044, 0.05282032, 0.04902547]),\n", + " array([0.14604566, 0.01435808, 0.15124753, 0.02325494, 0.19009471,\n", + " 0.07629554, 0.02094505, 0.16223014, 0.1357229 , 0.07980545]),\n", + " array([0.10331619, 0.18282238, 0.04315985, 0.04248934, 0.18921927,\n", + " 0.01926433, 0.12470358, 0.08182598, 0.11104701, 0.10215206]),\n", + " ...])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "number_assets = len(assets.columns)\n", + "Rf = .015\n", + "weight_log=[]\n", + "port_info = np.zeros((3,25000))\n", + "for x in range(25000): \n", + " weights = np.random.random(number_assets)\n", + " weights /= np.sum(weights)\n", + " weight_log.append(weights)\n", + " pret = np.sum(weights*log_returns.mean())*252\n", + " pvol = np.sqrt(np.dot(weights.T,np.dot(log_returns.cov()*252, weights)))\n", + " port_info[0,x] = pvol\n", + " port_info[1,x] = pret\n", + " port_info[2,x] =(pret - Rf)/pvol\n", + " \n", + "port_info,weight_log " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "( GOOGL FB NFLX AMZN BBBY COST DLTR FOX Gold PEP\n", + " allocation 24.66 6.59 21.83 23.14 0.38 1.03 7.17 0.2 0.22 14.78,\n", + " GOOGL FB NFLX AMZN BBBY COST DLTR FOX Gold PEP\n", + " allocation 1.98 11.56 0.1 4.54 5.71 12.84 9.87 15.71 9.19 28.49)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "max_sharpe_idx = np.argmax(port_info[2])\n", + "sdp, rp = port_info[0,max_sharpe_idx], port_info[1,max_sharpe_idx]\n", + "max_sharpe_allocation = pd.DataFrame(weight_log[max_sharpe_idx],index=returns.columns,columns=['allocation'])\n", + "max_sharpe_allocation.allocation = [round(i*100,2)for i in max_sharpe_allocation.allocation]\n", + "max_sharpe_allocation = max_sharpe_allocation.T\n", + "\n", + "min_vol_idx = np.argmin(port_info[0])\n", + "sdp_min, rp_min = port_info[0,min_vol_idx], port_info[1,min_vol_idx]\n", + "min_vol_allocation = pd.DataFrame(weight_log[min_vol_idx],index=returns.columns,columns=['allocation'])\n", + "min_vol_allocation.allocation = [round(i*100,2)for i in min_vol_allocation.allocation]\n", + "min_vol_allocation = min_vol_allocation.T\n", + "\n", + "max_sharpe_allocation,min_vol_allocation" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jQ6nn/asMHXVt+yYlLF0K73539+1C2Pu60jR45RV7X1f9vb5OIZFI0glJKm3i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sqG4NaFDdlfwdgtkMpTW4+QAiccQjVkZwnPzATvjBSglG8MToG8XeFgrMYKtc6zRkVSraNqdewl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XMnmxNqRm43RAVRqwzs5ru2X9NeQrS2AyZSY2nSQyXoIF1AdjtqSyhYRtcznqLIKoCQZkwP7k\nA2hpY/gXLNaofgN0AHobmIPsGMMU9qH6XARd3mQoOGVusXBoj+60tXNDY+iYAbvWp14aI8cwxn6N\nLLtRdjDgtrDUeHcZwh5oFJB1O3Zd2tfTy7dMDbAtXrH99buge+DOGuOGgO+VSXLboCMIUwOp7j7U\n+8OdOMbYAJFO6ajkSwnlO2jKUz3q+C0poXzp8Y2/sY2tM13C8o17t3v72P8MfB2QyjL+MPDngX8T\nk8764/ca4CQxYn/p4da4MQA++tH2MQIxL+eAgOoCLxdj8WJQnRN0iumJbcVYK2/3U01lXsrO8IEb\niBsj7CHM8bKD6gTlDlDaeS0JegtNbibMteREEA5BLuJ1m5oZwoJWSDaZo2CAUqMMsogqSyKw58sI\nCxILl9wxOZDJi3u3LrxcWmLVooSGZE7DDphZw2L1h9Fum6ZdDqygvWGFLnvV/k/bvsFKad3ZpNoD\nVyntseMmiqV6NAIeNANR+XDarqvWtmujUq8QcvAV5017JGUEjsHcg3jgUszgewWqQXwLB1h8Vojg\nLb3/USPM7URGbgT170X2qcQKcJ+lcUG6LWPWqKF43o678wbCUHsdpjSuRDCgxhLkAk2AuduGemTZ\nhZQGhvzzdt1yHjQBmyK2WYJcsutdsSXUh3HPSot5kzkULwBnQD6/2k+czeejq/e+wMwg7lsuENsz\nyfTUHoc97vE3trG+KTxLrknAZ6zXnwB+VFV/AvgJEfm1kwxwEtfkF2O1Ht+Ztz+JSNnGol2/Dv/y\nX9rzX/91uHEDzp9HpKSQ5ztNVZfU+jrG8AScXkBkG5EhTi+icoiwi5M25T2EQ5Tr2E1zF2Ubu8Ol\nWDG70avOUQ4g6nfZ+RHCDOQ1lBsgY3xUFG8IloaNGiLuLmgdWS8HTfwYNGAlY6Ja1f4WlBmU6vJg\nEMvrtFHo6/dSM0CUMVvNQ0ZSpZE7YAZAsqD85lzIWLEu4yXNsXxdShe4pQj65IYjfhnlaDCCpsZd\n6AzcaEWr5p4DsB6SbNYQ2caQKiBMadm26ELW9lqRLZCLxi5xEwNaI9B9jPlKwOQQ9MCYMSnaMTpx\nZnehOsr2ZwdzAc4iCza2sXRC64YcxustaVxz/nnQeTyWguOjG9YNjLEDn73s4QAAIABJREFUa19c\nAj1tAFCGtLFWQsed5zJ3SIjVAmTUzokHiZ/9+kZ8v7agqBD3JsKqD1q6yJ/CMjxn4C+tcYNubGNv\nQ3MFDC497VU8SfMiUqjJGvxhYiWfaCeKwz9JoyRS9mPcp0jZxqL9zM9AWcJiYY8/8zPwp//0MY2X\n5mSTEaoLTHjVGAPvdujXEFUNBF7BWIkA3MFxPmbzbRtI06QZNUAoCXiEOcoujppWvqDCgJUBCAud\nKqNDsEYkAQZjvnJrI7i6OmIi0M9iFG2hkvWBNt6qPbLeFbfOOdl13aVszdWg+Ngg1M3aGmx1TJhV\nP3YMrXuNpR0jJA2vZCk2K3dNgjFgMWYKS4roUW3xIc2TlwlKLxPwmhnYYRHZrcSWJYayAC4YIHGX\nzKVXz6B6FbjdZtUxMRaKOl53qrQQwZ0CVOaSdOctyF5GILUBN7YsC7COLkc5G4PaC1h+Pq7FQ/kC\nTQxYv4ai2zEwGKZxvbmumEB91940f/YYxitafQDV1dhtYO4/8RHUPQ/LO1hJuKVdzwJ08K7jx3tQ\nE/dMpfFvbGOA/Yiav37vdm8f+3HgH4vIDexX8S8BiMh7sSyne9pJgNgDi5RtLNrf/ttwFFmEoyN7\nfSwQK1FcvCmC3KNIr+YFlpNrT44IOomuzZgVR4HIYVTbn2OxYSOU29jNdoAkl1RT7kYQqaKbkpZ4\n6sVOdUFEEm6tDTLl7RJQQsmjqez1MUCrYYYSj2YsVQrPys81FkJs25fdkG67BHRCiqNKJXXExpA1\nF5m7DfOL6gM2MNC2Dkw2JYCyBAmN5X2U1v3VgL40iOsxbWIgOsk9aNWybaEEn5gwZy65+o0Y0L5t\nbJhWtgZ1kbVKcy5a950eYC7KqIAf5qDXoS5tLA7teqoD4CowsjircteAVHU7Ln0rykVMwR8DoqSI\nbsIaY6+yPV++1u5HmMHgi9aPAQbEEtMWJpF5i4HqbgTFnu1PmMb3OEQwubGNbWxj92eq+oMi8g+B\ny8D/o6rZFzZ//iRjnASIPbBI2caAO3fgk5/sHvvlX7bjp0+vNBcp8VxGdYZIichopU2yoFPgOkKB\ncpc2o+0I5XXgVGSHdlBMj8nJdhSGnSAyAL0cQVBMGhCPUEV9s6Hd6BVaViSus6WfMBCThCpnJv+w\nwnrlACgHUeb7k4x9ksTCNEPUzSiJgZI+GEogSjVjg7R1F64RSDXXYAJrmSSGBvq6XM3xPjvV+EN7\nPJ32Cnt3AFkKnE9xYfEa832WYQRK+aZne9ocrqLLLoIbreP65xaE75eRlqwi0XkXmEbgYdmvqLNf\nseEQWEStsK0IZoYRzKg9r6fAvrkP6yjN4IYQbto4voD6NupPwfL1CIqWiPo4xj2+ckRY/VpS0CXK\nKP4IiKKwx8VruaEBw6YUQQ/4+QsQft/GkVM0IHNjG9vYw5s8c65JVPWfrzn22yftfxIg9q3x8b5F\nyp4J+9VfhX/0j44//+lPw2BgbslkgwF893fDl37p2i4CyAc/CF/+5feYfIoxXefxOiCwRBo3o2A1\n/wRlGds6YB+RGnQEukCYI5xBGeL4POgCFSt6bQKXERxFJijxUo1pcn+dx3D6AYTQkW0VUt/IaKnF\nnDUqpyGxEjno0DXuwmPYpxAZm7R5oedBV+L4gMuZs5pWCiLXIlszj/af9NyNIU7uXRNzT3KZSrrm\n/IcSWJZfWk+W7de4LBNzFlkuly5wCDKLY/r4L8WGpTEr0BtQLcFFIBImtgZXgg7iukJUiI2sqoxA\nTkN52TIbGRrDVU8hvIExbwHkTAREExsrxW9pMHdlqECm5g6sK1Q8UlyyDML8rdGY6ShFJnvSe/t0\nbsBKr6F+FykznbJ15s/E/VhY1uYKENuGaseuxW1B+SLijv/Bs7HWNAoEy70A9caeXdMlzK8+7VV8\nQdlJsiYfQ/DE28heew3+4l+EqgJ/TEBvVXVfHx7Cxz62vm1dQ1HAT/7kCYBYKjsDyBDHeZQbCFuI\n5tl+M3NHUYLexAK0owuKGXAGr4eYnIUiGt2PjEFnmEBsigFLoAJri2AMTwx+1tAUg+6q5ks8nliK\nACFRYZJl/KWhE5hycb7MHZeG7ACyxIil1xFQ5a5NjZfdRuBnAEm64/Qtra8DAJLGV8Z+VTEYX5vJ\nYt+0jhTQ7yGkrNR8zoz9S3uQrlULaxsw16nz5nLTaQSjgVb1PbGCB1AP4yAxOD4MMaV4oht2z5hP\ntlEJBlaL5xF50cC4FOjyNag9uCVS34qMWgDZNWCjM5vTDWDwPhufoa07HEJdoOLA7TSAS3VpUhK6\nABmhgxcBbyyazsDvIG5szJo/BewYM+ZOr4kTzEwcFGeOP1/d5P9n711jNMmv877fv6rea9+7p3vu\n151ZcpcSRZor0aFsS3ZsR4AlEw5iWxFkx4ABwwFsOIk/JIADx/AnJ/niwBYCyYk/SLZgwBYk0LAc\n2ZFNRqJsmUtyySWXu9ydmZ37pafv3e+1qk4+PKfqre7p2Z0hd2d3lnWAmX4v9f7rX/+q7nre5zzn\nOaUNhu1Nzl0d7xiWD2Hwtr6sxfPQOlVpSl9HHZU4RKlRx6Pjsb7WhBA+B5xjf9XkL79Pc3q24qd/\nGl55BX7mZ2Ta2u8/3ucOgjOATgfOnIF/+S/hxRcfft8ypP1LgRmCZa4RSyAcpWxJZLvALsG6ru+a\ng2gM+cB5qhRcJyYw1QRWK0Cp0HYNkWFrYeYa+RwO1mwEJBYv7BeK96vM0gGAU6Qu96UOD6b9eHhf\nxdhWbGfsazlTWkoclkb0x1XtVhWoQQVoHbzBHGTJiud55XmRAvTCiYNVk2VqsbAUcCC2z/PrwL4t\nIBf6xNNoa1g+QkLzkVcHxpNzZF2sAEk+ZggO2AqH9SDATeOEa74GAkL5lvYX2pDew+IjAlY2gHRT\nDFlIsHiZEHWxIA+5QAbNWYiPKC0YNSFtqM9htu3sGBojmsWitmvWtrX/eNqf72pdxrf0c3AFizpi\nzJIFMW6TvPb3EQeZzslzy0cQ4gOtq55g5LwP43UB3sbS9zzOhzJGq/rdKbR/jUWB8DrqqEZoQOvY\nu29XRxmPY1/xK8BzwCtM7ooG1ECsiBdfhG9/G/76X4df/VXo9Z58jG4Xfu7n4B/8A2g/Kk2yjdKN\nCdgdArsujO8hY8oOsIhZG1lMuK8Se5CfRzdsVYyZ9QW8DOCBj+3WCyUwqviDFVqtQrcUYALYYALA\nqkCoAFsH0nhVYXz1tX0NryugpGSECnAR7f9cXqTvquDoEE1YuU3V9f4AW1WkCvd9068wZg+NXR0D\nWUqEGIHYIk1YjF1lxDyFZ0UqsgpU83I7swKstQlxsd6D/YDUMiw0nGkyaJyD9AZF2tWYJkRuyBpQ\nui7fFcNhPQiLDsreEAiLl2B8Tb0KQ8MBNtJW2RBa55RSTO+DxVjzGCGa2geIQzKPhTZkr+l48g0/\nVhMLlvch29M6RN3JGo3vCKARe4ujFmUBQbIIycr3nxaLF1XhaT25z0ddT5GOYPAmEGPts4QntJsw\nS8UYgYP9FFon3vEzz1SUbZgO+cJQRx1F2BiGdfOdJ4nH+Yv2EvBipRKgjsOi3YZ/9I/EkP2FvyBm\n7DDW62AkiUDYr/wK/Ok/rdfyPgJGifQ65bfqosoNyNeh6AtJDFEPcDf94Kkn6yMAMIBoXWPRADJC\nnlEadzLycUdKF5ZgxR3VgwO2kAo0lJinonmqggkrUplVkGOVh5WKxGpq0A77w+6puH2M1AHGrdB2\nlboyYz9WKqohC1B5MFVYDOUAKDABH9UCmILRKrOYDwM+s0xrX03BWjE3m4xfeG4VlhEV8FWegxAh\nrRfANjb2tcrGFWzpD/IMi1til5JlsVLjNYnoybEwTWhMyz4i6mCj+zB8HdwomNHbLrrfg9GuQEqU\nAHvudj+EZEYWE8QCTFEHGEO6Dq1DHOejRFWKUDJ3RC0YD3yctrNfG2qJkve1/3zg7Fimfebue9a8\nSIi+f4YpRE2sdV7Xe3FtZru6bkOsl8YPoHX6yQY2L5yIp/U4/x6+kH2Yo7Gic5P3oblS+6LVcXgc\nUJnU8e7xOEDsW8AxVJtex7vF5z8Pr70Gf+bPSKhf2FYcFlNTYtN+/dfh5Em9ZiliqBLEdAGhaAQ+\nDawjI84C6Az0ON8Fu+32BC2wNrAtFoKeevSFTY0Rec9B3XH835JutoyZgB5/XrA2h1USlkwPzlrZ\nhKEqbS4Klg1KkBSFA+MV4K8yHjhgKXRiNgFDh/X9K3FZtdm1j1Gu10GWziaMWyFeNyYeZCVJJ82b\nHQLiJm4exXuVdOrEFbcC3NyaobQWaU/OQ45SecX8y2MHWEfp5GItg8aKZgSciOS6H48FXoJ5A+sG\nNI9j8bKaWg9vKr3UWHHn+qG8tVpnYbwqm4vQhXxHYCXqSs9mDY0VGhUy5JDzUEbsXmBB12SyoBRr\n5JWY2YavRVPFACGS91g8o/RevifmKjQhmX9PQFgZeR+Gb+t8Rx09txQGdyDpQvJwRfO7RmhC3HUQ\nadA8+d7N90MQIWpA5znMrNaG1fHoiBrQOv5Bz+KZiscBYkeA10II/4n99hV/+n2b1bMep07B3/pb\n8Bf/4jtvF0Xa7mT1D3bB3jjzRYVVCx2wo0xaHDWA4lt9W5/N1+Razgxls+Y8cWamgVi008B9JmLy\nMYQdxIq5BqxkqgpmrDI3w9FHxbDUCgAXJp8ttiuqIquRF6nIKijyfVQ/D5T+WFYFIBVmq0RLxRje\n7DoUoLAYR58tYd5BS4vy+aSp9j5MWD6upFVzsBLkxXqtZPtygd59ujUfP4ei8wFxCyxRWjPb1ev7\n0rTVVCxQdjUIENysNY8Fdggwukpp/5Ec0XhRB0Z3of91zTW0IFlymdqO5pqui0mLj0LclA4o96pG\nhhDmIJkjRC3px9IHYpAah6ffQggS4Gc7mlc8QwgR1jwD6ZbAV2NWa5TtyUF/fH/CTDVOOLiZhsai\nQHDe1/yj7vcHBsYPfO27Om5DADNuaPzGkX2bW9aXWW1oCRQesu8QIqx11pmwmBB/NJts1yCsjneM\nfAyDOjX5JPE4QOzvvN+T+EjGL/8y7Oy88zY7O0pJfv7zYAMHM03UfqYwmNx/Q5Bo+whwz2/uhb7G\nDTkL4BYvuBA7BTadjdkFYsi3gWXgPmQFwOlVqJ1qmrHYsbGPVMocsBXmpyVbRYWByplUDFb1ZOxP\nb5ZsVBBgLEGYTViz8rNRJc1Hua02n7BYVk1nlgCxApKKw3woqpq1uHI8VPYZnNGrrE3ZJ7JIRfpb\nWcUrrDgmYgeJbrpsbqNhKaU5r5nv/6BWrdhpx9N7qaoKLRNIiRqQjwS84q7AUvM40ILRt3RNhEh/\nLJNloOnLMysxffMsNJqQb4oJCws+z1isa3RWu4+nna1KeCeX+xDih9ilEBJoLLktxbquwagtxiye\n8so8TzfbEBpnCSHGRnfF2Bnatn3qkft914gST7l60UTkax3Puch+8qfR8hH0L/sz905rThzzzcyB\nZQ+SGULyBI3B66jjIxeVv9t1PFY8jn3Fl6rPQwh/CPivgS8d/ok6GI3gt37r4ddbLRgO97/2r/81\nDLYgcQdygtrQlEaTh5yiqAt2hlKvlfeQ23kfwiJE7ukUnUDsygqkbzFhzoYQn0I2Bpcp2+3kBWio\nsFNACQDKNJuDkH22EkUKrcH+VCD7mazg4xXC7dJZvjCB1fvBt9uvTPT9VRtsG0xaBIl9Kx3MCrPZ\nfcCO/YDzIelj8TyqMHHFZyvrkcWT7SiApBcrhMhv8EwYuVAd3ntFhkTptzDi4QpLfxoWkUXJUGtL\nBDQlMs+2JusHug7yQu9nYsqaR4AWDL8LowcOwsMEeBTpPtvVsWYb0Dzv7YTa/tPZtWwAg2sS4Q+v\nwXhDXx7SLZh6gXcKs0wC3nxPwCxZUkq10QRiAZgQQWiLYYw7OtZ8DyzDiKR5i7zFV7aJ2TFCSLCs\nJ4AZdx7fD6yx4td8X1qweArCXWieeNj6wkb6ghBNaz/ZHvoi45FuQf+q6/JWse6ljywbVkcd7xpR\nA9ofoSKVpxCPa1/xaeDngD8LXAV+7f2c1DMfv/3bEuEXEYKsKf7SX1J7o35/AgCSBH7738B/8VmB\nJ+sDY+T75WGZbkigm0HwyryCsYmmvcJsGhh6enLFmYqG0k92VOwCTd34QwTRCuRX/fUiBRkmIAJ8\nHwcBWnDQcbDSr3hYBWgVFqkCiOyhb0zVFCgCZaXdQhVIFaDHWa59wvnK7ipjldV8+4BkJV16aKrF\n38uKbSpvGUxSxgfSpGVFaEAgyRkwq4C+EHRzL8xM9xnZOngsGL0ok+7PVj1NiMBZvCh2iFFlPoWx\nq6fXGEFjXuk+OhQGv+V6DW4LiKQbE5YnalO01yKe0XiDG2KQ4im9n+0IFBW+YaNbWPciocKMWbqt\nVGiIoXVShqyjewKLg+sCY1FH56bznACVpUoZGtKnhViAMzSU5oy9n2XphB9j6Q4MrpZrb91LjwXG\nQkigdYBRCwmhsXTIxi2taeYN7pMDruGZM5FxR8eZD8VG1lHHD2LkY+jXqcknicOtrIEQwvMhhP8l\nhPA68A+A60Awsz9qZv/wqc3wWYx/8k8maclOB557Dr76VfiFX4CXX9bzjlcc7ezAr/4a0mU5W1ZN\n9ZhJPJ2v6l9275AdFqxLG2jqZpX3mPh5IUuCECGgFunmPL6jG5rFYm7yAkSkqAhgJMaj0CmZCWQ5\nppB+P8fyzH96mtAyzHL/af4v18/cfLsiHedFALmnMYvnlmtOVrxefCb1uRafNX9cgKG8Mq5V3i9S\nh9V0Z4Xpy31/+34WADSvjAdl2vWhfcGEtcNfz/SHqRTgV7YtquzKQghfh2wkZisfi6HK1oE5CB3t\ne3QH9r7hlX4FiIt17tPgmr8E2hfcbNWcKWs4wA96nq5B2oPmOQnoQxdIZBMRtZSKJIfuRbFEyayO\nIZp2fzE/rngKsh6W7mCWYvkA9r4lgJftqTjAUj0PsR6PH0w8qNJN/Rxch+E9Z5wCtC7sNw1tnvZ5\nzED7rF7PPd0eT2tu+XvfM7IQqdM6DZ0LhMbi/g0aszqPaQEeaxBWxw94FH97v99/jxEhhJ8KIbwR\nQngrhPA/HfL+/xBCeC2E8M0Qwm+HEM5W3stCCK/4vy+8hyvwRPFOjNjrqIv4T5vZWwAhhP/+qczq\nWY40hS98QRdRtysri7//9yfeYC+8AK++Cn/jbwiw9XrwhX8F+S9B7BVc+/remRiKomlx0WevEJQH\n7xcYOv7eyLUvAzE/oStglyxCfEZMQ3rX57ruJFVTN8cQEUgnY5eCMHMc40Aid1YqpOUUJ4xY09Nx\nVTZs/8PyhRD78RWatEr+zipP932sMm6Z8oweZsb27dSBZJmqbKMqw+p4VnlemUNUGabQyRWGrA/Z\nVxSTTiitQco/KH6cIVaai5bvtug7CZNm4EVkYF0HawPfPnPNVmEKGyY/bU/7zZsCXJZAOhBDM17T\n84Bes6ZaG41uq1igcVTALWoRogbWPiegF2JPyfX0POoSkhmMF5yJMjFng2uacmh6inMbaELU1/XX\nnPc1K6ow+3psKYSWdFbZnqf+nFVqHickU35aHMg2j+8Xi4cu0jr6+Syal7/HEaKmwOdh78VTWPd5\nsCFEHUL0/syhjjqeiYga0Hk6qckgx+RfAP4EcBP4SgjhC2b2WmWzrwMvmVkvhPDfAv8b8Of9vb6Z\nfeqpTPYd4p2A2H8J/Czw70MI/w/wzzj81lhHNb70JbUwmp2Ff/pP5St2MNpt+MVf1Hs///OwvQ2/\n+zL8sT/28LYhmoAsTOnHbM1BVArJEhYvQbRMYAzpKthd3ZjSTbFkUQzZPLQ/NmFHbAfyLSxPdQOh\nBbSxYAIp+YAJ8JhDzvnbCCikFYBRqZLcZxtxAISVGqjq61XQcfDSyifpuXKQAw765ccKQFZhrELl\neSj2nwCNUne0LyVZsGSl/MzHL1siFZovY5KWzCbjg6ccg+uYAtg2D3UisEyMJIPJephNPluNAIQ+\nMKdU5PCOH4MDvJCiytWuf3YEYQYic7brCIzv6TOdi7oeetcd844dSBbgqGBVEz+UZL/IPp7a76Ke\nzMHUD2n+w7sar3DMz0fSgGW70pV1VwhxB5v+YRjdQgyWC9rjxbIK0eJZsWKhrX2P7kNzBUt3oX9F\na9dYwtqnSzAWGnMY53XNxjOE+IPxttJ+a1+tOuogG0Pv1tPa248Bb5nZFYAQwj8DPg+UQMzM/n1l\n+/8I/PzTmtzjxiOBmJn9BvAbIYQpdGD/HbASQvg/gV83s3/zlOb4bMUrr8DnPgf//J/DiXf5VvAz\nPyPPsT/35+DrXz8ciIHsBAqNWGhCel1MSr6NDTcg3IB4BkuWvI+2p6YYOyPWEVOWD5Q2Gctnymjo\nlwb1EyQMIT4H6S0HZwVIc91aYVFREleHACtDlYKlT1aFDaqK6Ms0XgGwCv1TdOD94ucB8X/5GH+v\nUmBQApqqLg1PURaViQeqOIt92IHnxZh51Zy30K9l+z9jLn6P5ryxdISMdwP7emkGF+tjPp+YSQFC\nYQmSU2r88pGzWAPUb7FYgwB0PJWX+5rvQuaVgIWJanB2brjmTFWYpF2jhkT3WU/r01jAOufe0b3e\nxpsOmIK8x+KOUqgFGdlY1pjJrFchutFwcwUrHh82fuuk694iHXvBLI3u6PqMuvIXay67mN+XszEL\nzD5yvnXUUcdTjveuaPJICOHlyvNfMrNfqjw/CdyoPL8JfPYdxvvLwL+uPG/7+Cnw9xz3PPV4nKrJ\nPeBXgV8NISwgwf7/CNRA7LD4m39T/x43Tp6EL3/5kW+bs06hYBAs1U077+lmZQPk8bQE6ZoaIocp\n9Jvg3mI2VFub0PQ05RnghqrYbMtv+nvArIOgQrcEqrrcEUuxTygPD+Xwq2m+qhYLDjBOB/L/lrEP\n3BUpNKt8bl9PRypgDfb91pfsUvFCNcU6OgAe95UyMvHsqjB8BSDcBz5d+7U/b6nxwrITd7mzU2P3\nrPLP0aywZAWLGCbAK57Xeco3IVoWiCr6MpaVmJVK1VB0MYiBxMH2gkxJ001VATYWda7H97Vd2Tao\n6YUeu5CYwE3/GuQjie8PScWZ5S7eb2sOw+vQ9YrJfCAD19GqC9bnoH1+XyrxnQBeiBJs6gVvj5JU\nKq8SlJ53249qb9E66qjjwxVRA7rvmZnxAzN76b0YKITw86hT0E9UXj5rZrdCCBeAfxdCeNXMLh8+\nwvsXT9S0zcw2gF/yf3W8z2HZHoxvA4Ylx+VPFBJVbeW7utmFhFInZKYbYfO4GLTkOLrZ50oBFQxD\nsoiFCPrXnYlxdsf68nDKt4H+hG2y3E1HgzM48BBjBBMmqmDGCuBWbaRdViwWY+Cgz2+uwTxtVrjO\nFwUEB8DfYWm83Fmhfbqv6MAYFRAWqixY8XpFH5cX2jV7mGUjaF3NU4UkTBiuBNI9GLlInczfLxi6\nCBnxOnNlPu+CdeyeBzsJve8K3FgO1hSgtg6lNYUhZitqT9i+0JCWqbGiSsfWWVlNDG47wzYCWpB4\nJWDSlf1CNAP9m5pDtiuw1X2Ow8P2Pw4RwX21bHBL+q9kyZt67+lLwGNGiKege2n/i+0Tfq0OoXWm\n1mDVUceHOfIx9G4+rb3dQg7lRZzy1/ZFCOGPA38L+AkzKz2kzOyW/7wSQvgi8Gngww3E6nh6YWYC\nYQXQSu9i8ZS8luIZaH/SWZKhBPjZpm7E4xtY4xihefTRg4cwYV9sKFYtxEBHabN9bJSDjrSvX7DC\ncLRIzxXGpjmU2qm8AoQKQGZRBfgUAK267cRPTMfc9Io4mACq8gAm6TtgojVzwBTiCkY8DDhWxfGF\nrUQBrnxtbMw+bVcxRHmwRTox0bHE087sRTDaUBowSidjFp+zIPAWz+k4sz3tL3ibo6ijCtfBLc0r\nXvSqQgd0RaeCaChmi1jAK9+C0IXWMW0TT0P7jMDc4JoY1MKDK+rC7KcFwEYPRKYNN7Te8TwkMY/q\nkxhChLVPC6gBtM8d4rR+YJ2/zwhRC6YuvfuGddRRx4cgDmQ83t/4CnAphHAeAbCfRVZbZbj91i8C\nP2Vm9yuvLwA9MxuGEI4AP46E/E89aiD2oY8D6bPy5UgiZ8BsBQZvigEhgvE9LJ55ZBrI0m3ovSnt\nUXxEOqZozvvk7Xn1WmG3UOx7XBmgOi1zJwdn3krAAfsrIZ0lK1JyVSuIfcJ7H6tkoorHKRMwVjBc\nRXXivqMTIM3DZOwCAO7Ts+WT+VSbgYeGwCXmHmL+2aiSpiwYyKgB1kCeYKm6DeRFF4O+g9MibRpB\nHE+YvoIFi+c1Zt7Ta1kf9l4TkEr3KJu3m0Hc9rm0lb5snxA4biwK4OVjMWjNFbnOjx6oh2Tkthfj\nDc05G8PeFehckMnweM1PcSqT2N7rsPiHD712AEJjAUvm9NjThJYNxVpl3sQ829W84hks7emaijuE\nZPqR49ZRRx0fgYia0P0+ul48QZhZGkL4a8Bvoa+U/9jMvh1C+LvAy2b2BeB/R42a/7l/abzuLRpf\nAH4xhOBVS/y9A9WWTy1qIPYhjRAC1jjuqUkgOVre9A7dtrCCOAjYPCwf+Q03hd1vgfWc9YllbZEs\n6wae7glIjAZiy0pWqNBDVViOvEjreWsmSytTKObhLFChDSs8uMppFqDMDhApRZqvekjZ5PPFhlGR\nGqywbxOKzqdQpEcroLZasWmVY7RMFiQUjJh/LjcxUMG8wGGo1HBhoJoNtH28NAFVwXt8Fkxj6j5u\noe0WI6nASvs5eW3lAwHBwW31Ogwx2N4EvKUjTTOZFRiLp4AdvZfMQLIiYfvogXRfoeVgbuznsiFz\n2CiSf9je60zaKKUw3hVQI4bRGnTOHLyMygghwoZrWP+mC+dTSv+yLIXZFwhxSyBs9/Vy3W36Y+8p\nGLN8DKN1HUdz8ZG/I3XUUcdTinwEezfefbv3KMzsN4HfPPDa3669QVHsAAAgAElEQVQ8/uOP+Nzv\nAT/8/s7u8aIGYh/iCPE0Fl3U48oNxooGzflQrFjsurDRLWAMjWP7e+WZSSeUp+4Hta4bfbqplCZB\nVW/JMrSO6+ZPos/sK38pUnpAXjjuFwCt0DwFvRciaYXK5ttV1qvMfbLPi6sEXC48L81kD2i7SjA2\n8nlElTQnlNWMVPZZjl3o3A5ozsBBUyQGal/KslxJymKG8qVU84h8HkXbnxAjewkm6UTra/+hKSDM\nvIOynioBh3f1+Xwoq4oQHPRVxPkEMVkh6Jw35gWA+lcduI0FrEdeXdg5B9vfUqujbEPnPOlquLQP\nndMwvE9Zpdhc0T7G21TDxjs61mRGovrxNmz8vvZtXn05dV4AcHAHCNjsCxN/r2RGoDDdhe8TiKm3\n446u58FtB8GmsafOfV9j11FHHd9nlF+I63jcqIHYhzwO/YY/XlOj59CAdBPrXCREXaxVgDYBJrNM\nFWzDW7oJN45LmxQ1vEmxu5KHtgT6e1+DplsI5G5pYQXTNqbsdWgjxBZVwJg1mGjERgg8VFsLFelE\nKK01Cuf5ydH6dpkzM/Awy3cAlJk5E+Oi97LvZPF+Zf9Vv7GyQXk1XVnRcZXpzGq4b5cOkn0NzTP3\nV6sCvCL1SmEvEUOY8iILn0+6LXZr5iW1BUn7QFtMX3B3+wBlW58Qe+rxuCwtetd1HTQW3c9LDbXJ\nhmLG9q7pGkidsStaY8XTcqm3SPvvPufHsad9tZ+fLMvgnvbjukBrzGr8bACNBUqz2fG25tBc1vP+\nDa98dJBEDknFi+x7jf5djZ2nAq7TF7WP0UYNxOqo44OOuAlTTyc1+VGJGog9i5H3dFOOWt7mZgy0\nHhZND29KC0buXlRvQfskdD8J/bddzzOC9A4QQ9qEsA2jTaABo10mN++WKiezXQcpBesEpd1FKdB3\n3ZallC1tKKogDWgyAXdQArZQBUzeQ7Fw8d+X7qwwc0WroTzdL6er6r7w7QxPxWWToUqQVmHlqvsr\nrDACkxQr3hKqLA6oAkUvFsjTClBzNivEELkVCA3XmGXQPKY1H+9KlxZGAmRhR+MTnHFLHHQtaLze\nZekxsl0IMzD3YxLmDx+4uepY/0Iit/qQSPTeXBATtvs69K7qOtp7G6wJpEp9ds9WrqMHk7Y9268J\nCEa+2ON1zWXqInTP6FAbC0qFWk5IprDpj4vBSqZU+fv9xvC+AF2I9aWkSE2236FApY466ng6kY1g\n9+mlJj8KUQOxZzGSBaUNs7EDsoebHCt9s+UVdWO/OccwcEYl6ii1Nd7yFKLrnNKrAhn5FiUCsbHS\ndha5tYWnHguHfaBsOl3t+YhNRPz7DFFd61SmPXPNrbSw8MrC8YgSrEVRZV8OnEq/sAP2GVX2rdCe\nlURa5rivok2r9qUsqkHjQhtWjIOnWwtLi4rOLeDr7ExgZPuzieVGAWhA45ivXS67keEG9L4plikk\n0m/Fba1n1JB2jLbATkgF0tK+5hJ7cUHZbHoJ9SU1jdOYgtQ0dhRTNtqOO7pu2ieU3tx5CzrHoHEC\nxjs6lsj/PDRmYXBX4423XPwPdM5Ca0nH3j6qg+2ehsE9fbajqvKQTD3EhJllGi9qEOJHN+mWb9mq\nGLXmAqG1CI0Zr0qN9cWic1L7ay48cpw66qjj6UWdmXyyqIHYMxghmZV2LB9D3D20OjKEgCWz0uiM\n7oi1aR6VCHv0QDf80JReJ0p0Uy8sMHJ3uq8K4y1TdWVwEb0FlJrMXVtVZZUcEOUGUa6xq+L8qu6s\nLKrM9LnIKxJLN/9iGpW0YiHML6IEacElawWLVszDP2fmYKrYaeTHUmXOPN1pRS9HPD0bw7jnjFrF\n0LXoBJA5YAzmnQXaPofMU7G5gFc6huy6g+eGLC7iPgzuCxA3lz29OO9gKIJoHhY+K3F+/vuwe0X7\njRIBsPGO5rf2n3R+QxAIMoORa7vaR9T/zSKB3K1vO7DagI5B0tFcU2//VE3Ldk4KEO7dgNYR17wp\nLRkOpgK7p7D2MQjRI4XzZhlsveHpyoDNXCK05v29HHq3xQ62j+i87V7Veg0fYNEnxNZFHX1BaK88\nEshZNgACIa59x+qo46lGjcSeKGog9oxGiDoTZqIS0oU9EEhrrsioM3Qk5k4HkG5AvCzWJutBWHSr\nhC0X8O9I85OHyb24ACUFQLHM03EO2HI0XsH6ZN6/EIPMnF3yyBFwq7rfFyArtFQZaINix5Ofhci/\nZLGCxgiIwTMcIMSUhrIPVVkyAVA0ETNXmVtoTACdNTyV6NumvcnxWaF/c/YsWRQblfUFcki15o1Z\n2UFkStMJ/MYCdmkfifdxZtNBS7an1F46Ugo66UD3nIDI9us6r7tvCUA3l2HxU7D6u5pLkUq2Iex9\nRWCptSTfsKmPiz3r34G9Wzo/Cz+k+TTmYebjsHsNevfFxm29hs0+T2jMCFC1j2Gh6ArgdF9n5ZDr\nT2v9jtWLaU8grDEnFnZwDxyI0b+nPnVxG3Yua5uoqXUYjyEfERrT0D3+6PEB27upcSxgM2cJnTpt\nWUcdTyWiBmH69LtvV0cZNRD7qMXghjQzUawKuekXlMrMRjC4IoDAEPIGJcCITTqh8aZbMjR08yYT\na1a6x3cnomuLBVzSkafi3MOMQtwPJQDKYAKm/O3SIb+6aY9JtaJvXGiRDBfEexQ6LquMESWQJA4W\nR16p6FquyE1eQ9Dcm8sCpSW7lU1SqrnJ/DSahuasmk/n7vYfxg4Amz5WLhDVOqr2QOZO91YUIzSh\ncxT6q5TpzKzv6d6mQGg+cNbMlI5NH4iBakxDmIPZ55WKS6aAVUiH0mzlA+jf95RmrPOXTMt+Ix+K\nmcszaM1KsB813bg11Xj9B5C0lZLcvQ6jLdh9W/tpH4X4Jsy/MFnz5gLMPK9rIOrA7g0s3YPuSUL3\nuBioze9C3sdaR2Dm/OGALGro/GYDzbNVSSlmA70ft7wYYMZZvy1db48h9rc8FdhszGhNd69j7ZVD\njGfrqKOO9zzyEbZz/YOexTMVNRD7qEW6OxEyp0pLhaiFtVd0cysaNjOCxmmJnUMErVMw9sq6KBaw\nimLoHHc7hFWBh9F9GPXF1uA6pTzy9KR7YwG6tAq3/NxF6JWG1vuiSEdWtFqF4WkOpf1DNR8ZFexU\n8brrt3Kv9MwGExCW4yyeFwlEJpF5PKsKn+YcDHf1mmWqVDQoWwblkYO7ofYRJV57kLqGK8D0x2Du\nU7D2H2C4rnPQOQW7lx20GqQZMNTYqRcXhCIFmrhWr2AZK5Wgw00xQ8M1vZZMqWoySgQ4O8cFqFtD\ngcB0T9qp4R09TlrQ/oRXOnpatLWsuc9c9M/0XBuWejXiOth+xiuEAK1FaC1i21eUPky6sHsNa84K\nFOYjif0Hq9BeFpA9eLbjNjZzyZmwBaVMi2gv6zhHW2LBOivQXtTc4y4hfrj/ZTUsHXhqc4fS4Dhq\n1iCsjjqeVlS/aNfxWFEDsWcgJLzfLm9y76h5aS65jxNiR4LbQCQLshYYPRDDlWWQ3xXYSDdh3J9o\ng7KeO6OvAC1orShVNN5U6ii0kA9WCwrX+9xF/aWtg2vIzGBctPaqCOiLKMTmVZx1sKm4waTq0p9n\nhf6qkqLExCw15zSn8eZkLhZpLaJIbE66rWNMOrDwYzB6RdtkA7GH0VCAxFqeSuv7joOnQiPKHpzZ\nCPauwmgMg/UJgBqsAQ0vlOjC4iVY/2qFBZPGT+2e2kABHjNP1+bQPqZz1HKD13gLZjwtFxoOINfE\nVs2+qGMb9XV8rWPQ6MDcD8H0OR3DaGMy77kXCM05MUijLQGjfKx/0YLA3iMvSq+mLXV0Rbq5qv/b\nD34sL9Yn0v5zk2bOP2P5WMxh1JY+rH2EECVaw/jhNPxDU8oz2PiOwCmJ1n/qFMyce9fP1lFHHe9R\nxE3CzKPNoOt4OD5QIBZC+Cng/0D5rP/LzP7egfdbwC8DnwHWgD9vZm+HEM4B3wHe8E3/o5n91ac1\n76ceowfQexuJwxNs9kVC6bN1IJrHpPkarosV6N3AOicJjVmseRy2r/pNbVuAbPo5MQjtFd0Qd76r\n/UTzntpBALBzBobb+hcaDhRGLn5HoKkQzY/6mkOIXfxdiPl5+JtSnkOYB9tzhqmq2QquBZsWwBy+\nPWHAqqCtaIlUgLD+ltJ3FpXYSQaxXrU43tQxhUxpwtv/VmNlfde6NWDkmrBx6uuwLQBW7DO4L1ie\nSsQ/WFOaNumKicnGAhmzl5R+G+8p1ZjnbkCaaL1CC2hVdG2R2B9wEC0wW7JRUcPB1rbAlmUw2IAs\niIHbeFVrHzVh5izMf3wiZm90saXPOJPVIRTnNwTp2WZnBBqzvkDY9tvY1lvQPSZg1JieMEtTJ2Hz\nDXmHtZfF0kUtHWe6Dd0TpXGr5Sm2exM2X/cqyaaKCLpHnYEbwcILujaH61q/3Rsu1n/3sGwA2RAj\nJmRDpWLjLmRDwsKLjzVGHXXU8R5FNsK2r33Qs3im4gMDYiGEGPgF4E8AN4GvhBC+cKDX018GNszs\nYgjhZ4H/Ffjz/t5lM/vUU530BxWjTbEEcUvpxqwPjwBiIQSMGIarujEOVwWWuqcFzMbb7poeQ8t7\nEEaJM1e7Ait5XzfHrAPNRVXr7V4WU2aZW14YZduggEBN4WeajaDR1Dzzwl2+AsDMJmxJnukmnqdK\n/Q1duB4VTJdvN7zjmi+bsC7VdGWINIe9W0xsNcwfB1UnWq65FxHlAkIjT2NlfbFPpfGspziznsY3\nZ8MKdBe8N6P5OOAWIJlSic15GG5p7PEe9FYlnrdNpXazTMCvuaT59ryjQT5UOjFuaW2SrlirYvx8\npHXp3xVTGXm6bvMNpTGb8wKiUfOhisKQdAUW90WkFOFoS4A86QpcWiod2Jb3MZ29CEs/TEg6hKSL\nLX1S6xE1BNDiJix8ArN8fyeI3Ruwe1PXXdTAmqcI41sQn4XIbSzA06gdXdujLV0T0Tv/ibLRNrb+\nms5B0sYaXcJoS+tZC4brqOODiTo1+UTxQTJiPwa8ZWZXAEII/wz4PFAFYp8H/o4//hfAPww/iGKP\n5rwYsaI35Dv4LgHSie1d0y9D3IVkWmmb8bYAQzaAMFLqcTxQ2nKwLnDQmIP4mG6KzWPyudp+Sz5S\nrUXkDL8N2KQpdml6Gmv/wYFHPnSriEqKcV/qKtIY+V29WZqkZmJ4QvFZ792Yp/urM0tjVcQu5alX\naBpl0/LCnyx3x/zC36uwxCh0bWWjcWfWChF/3PRU7FjHbluUg1gs0FK02DHXdyXTE5aod9fXtKPt\npi/ADLB9XRWu+cjBY0SwIPG8ZRB3lZKOp/T66ld1nA58jIaOsXdNgKu9IBDVmHV9WYQRYRuvQ9Il\nTJ0kRPGhl0sIAZu9JG0WQce09qrAHLFXck5D7w7WW8XmLxLmLoiVjR8e8yGBftqDRhfG0wKKo23p\n2sbbOiez57Rd1xlbTID1XfRgANa7DyEmNGex4SbMP+9MY6y1qKOOOp5uxE3C7NkPehbPVHyQQOwk\nULXfvQl89lHbeJf1LWDJ3zsfQvg6sA38z2b2O4ftJITwV4C/AnD06FF2d3f54he/+J4dxFOLQnge\nYuD33mlDgaiiwDD0IboM8S0HRnPAnL+3M2G1MgPazu6MUDujVQjrE0G6rYLNQT412Vdlt4TA7rjF\nl25eYFIiWbWPsH0fmYSDrtL/690Wo8KU7esH6XYSIVAayFZx+2Hf0oKnL6tu+6H8r/JCcRwHdFOl\nh5tbWkSJ1isbegHD8uS4bQ/CwBmsjrcdioHTOq+hYCc9lWsG8QjsqxozwO4g40tfu6HrIZ8D88rA\nEAFeZBA3IHSByz5vg+j1CXNWjZL9OwCe8pGOIU/AFn0dU2cp34L42uHjHRaWefGEAbNepZuD9X2Z\nX/d/1fncAe68+9j52Nfa0+LJNx8+lseMZ/ZvwzMS9fq+v/GhWd9shG3VqckniWdVrH8HOGNmayGE\nzwC/EUL4hJltH9zQzH4J+CWAl156yaanp/nJn/zJpzvbpxg22ob1l6VtMpN2afqMHNa7H4PNb3hq\ns+u6sJEAwXBXgu7d66p+66x4+uum+hhmfYGO/j3vR5hVdE0OWpJZvnT7ND9x7HXpm+IOYq36gLfZ\nKR3vi4951WBUeJWNsDwXfDAqLE6JLD1N28DSkeZv5h2IGtpPJGuEELvpZzBV5o37MHggVi1qgSVY\n5HYbo839QK21SNk/MVQ8w8xtLkLsHlcme4rmvMYc3ZcgPumKYYw70Lvp+remV/+1tOaWS0CftFyD\nNQXdI1r/3m1oL0Ej0nrPPU+Im3zpldv8xI//GHb3Pyp9VzTc7t/3OTT0W33yx2HzDUJrTpWESYdo\noWJFAeSbb8HqK1qfxU8QLe7XU1k2hNEutntdhrODLVi4qGNoLRLNX3z86zLtCRwnU49k5r6XMMux\n3VtKq3eWiTqPpys7LL74xS9+pP82fNBRr+/7Gx+e9a3IR+p4rPgggdgtoCriOOWvHbbNzSD7+Dlg\nzcwMGAKY2VdDCJeB54GX3/dZf4hDruR3Jd4ebQvjNKYEQrKB9ErxvECXbYM1pJmKGwI3vVXYvavn\neSqQE08pnZSPnAExTzcWN1MHL1EidgIwU8owpJsOuBrQaAFtoO9ps5xAwEJCcMG9NRa84jPHkGWF\nEQQUcvPqSiM0u0q1mkGaizwqrAqKFkEWsEYHxg4WU7fGaC4DqdJuIVdqNjDRnyWumwtNacPwfpD5\nAJpHlIpLB9CcURqsMaP9br2l19onIb0mkDZwa5DmkuwcyCcO9tmA0jA2oBTqzDml5iwIoA03tXZJ\nl/KPW9zC9u54UcKqzunUsgBfZ0XHMNqCZAYa09jQNXEz5w9cK6Z0Z0iABFa/Tj53kaiSDgxxCzot\nQmeJPB/D5puuV2wSpk5wWNhoF+uvQaNN6CyXacrwkC7tMa7ntI9tvKVrb/Y8UWfxoW1CiAgztRas\njjo+NBG3CHPnPuhZPFPxQQKxrwCXQgjnEeD6WeDnDmzzBeC/Af4D8F8B/87MLISwDKybWRZCuABc\nAq48val/SGO8BztXBZ46U9L1RImL7HOxWklXVXfYhO2ZPo/t3SSke9BZgjwXg5E5+GgkBMvFjBQW\nFQRC8whW6LHMxNxY7tYYKRbHAllk3hLSfbmC0m/mNg0WGrJfiIK/Z0qjUqQNnbVKtS9rxg4gxsic\n1vcfNyfarzwVexe3XWN3D6ZOyH0+G0FrBvre0ilycBR5JWQ6hL37mkNA7GFhDmrOpsVd2L0D4a7c\n6Md7AmmNObFSO7dUHJFMq+pw5hLsXNH6TB2H/rofo0E0A7Mfk65s801pzbIUxqti8Y58irD8kpik\n8EWd09HWhI20BOYuikUDmP84UdLAFl5UmjpqEJLD7B+KqtSSnnxkRFEDW/i4W3skbiuxPywdYA9e\n1ZN8jM1nhOnDAdvjhG28qaKBuAkbr2PNHyXEj6gWrqOOOj4ckQ6xzbc/6Fk8U/GBATHXfP014LfQ\nnfYfm9m3Qwh/F3jZzL4A/N/Ar4QQ3gLWEVgD+CPA3w0hFKjgr5rZ+tM/ig9ZDB5MzETTvjyUZs9P\njDeHGxKGR7FAghnWWIS926qOi9rQnCZEKVgbknnEHg1kEWCZi8XloG/ZGAGk7Yq3Fs6MmfRFRT/K\nQg8VmiomiDti6nZvuuB9CPGMgFM5RuLaKmeN8GrBYr95isTl0wJGUfDeim7emo+ATCCpEMYPVpH5\n69ir9QwZuGbAjGwrivRj1NDx20gFDfGMgOr6dyC9p7lFifzIRD9qX53lCYAMiQoh0jF0T2l/7SPQ\ncZuGwQPtb/07sP6G9rV3V/OOW1qDdCSGsy0H+jB7Hlv7jrOXTdi+AdOn4NR/LmDdXsaG25hlhNZc\nyUrZYANL+4TWPKHRxVZ+FFa/JnC4/Ol9bNhhEUKkYoJHhV8joTWPFYze9wHEyEY6vqjhLGemNa6j\njjo+3FFXTT5RfKAaMTP7TeA3D7z2tyuPB8CfPeRzvwb82vs+wWctLFdrmsxZhPYRAZ7UfZY6x3Qz\nbS0qtddfVzukHRdeD+/rF2juDNAUKIubWP++Um/JrPuCjdSfMBuIUbLYwZFXKlqMU0lYex7a89Bf\n0zziFhAJVOTe9zF3vdl4JBuF3n2Er4caK3KX/8JVvnsctq+JLcpHumHPrMDUMejdkQdVNqAEXJk3\n5+6tapyoPWngHbd1DFnmPSHHPh9jIlTLxVClDwSIRjv63Gjb/bO8t2ZjSuxbnk1StQOvRGxl0OyK\nHZs+BVtXtSbDbaUZs74AZ3sBGnve5aChMUeb+2wcQtLGZp+DzcvQnBboG6wTTf04APn6m9j9r8G4\nj82cxE79EbUz2rwMkdLBrHyaaO48NnVM5+wxDFPfNZIuRE1VL+bSxOXbNwlTR783JmvuHGy8IRA2\ndYLwTiCwjjrq+HBE3CLMn/ugZ/FMxbMq1q/jsOgsi2FJOgIK7SVs64pSdIZu8gsviK24/ltK06V7\nAg5xpJt+nmHtE2LRBhtY0hYAa7gnFgFwN/lkVrYW4Cm9sWuUBgIdyTx0T8Lsc9C8rdTluOe9EE1M\nXO4gKGnDaA9GOfR3HARlAkGtOTErgx0Yb4jNA5S6bAok0VSabW+tTGEC3kw6aG7BHfZtrPRl7Ixb\na95d8e8yaSAO5YMogdBW6nGwJiBXNAjPxxozimVQuvRJafRWX1GKOB+LFcsyMViNKY05dVxavRwY\n7kgI316A3YFAdPGb2ZiG6ZOE5kx5mvO9u967MvLzMCVwh+sEN94Ecuguwdp3Nb5lkDQ1XrqDjXcJ\nSfsRKcvvLULchOVPSpe2cUXHNNjEBuuElU8+8XhR54haJxWdAN4hzMy1jBm05w9NndZRRx1PIbIh\ntnH1g57FMxX1X6uPUITmLLb0I2J2Gl1Pi61Cc15eUcNN3ZCH6wJarXkxL+M9MUaJqhHZveHtkWLo\nnHRheRPaJ6CzKIamv6GbY5hCdROF/5ZrjjKDeOiC8m0BksYMDPectduTh5hFKhiIel5N6K2WLJ9U\nUqZDGKbap+WQjMT29dcmbNrG69BfFFgsrStQqjESC0h/TWBs1BdoS6ZUObpwQe8Nbnu1j1dJxu4W\nn+2JNWwtCkCmIwhDd7lvaZ+NLuQNMYshlh4t3hCW669qvYe5UqhTJ8UehUheV2M3aZ05K6YvJNBx\nd/yjf4Awd2H/id64DJ0jcPwPwvZ1OPppWLhE3l+H9TeV2swGAp/9VZ3TZAo2r0J3WevSW9MY7/U1\nmLTlc7b+BqG9IIA02MTy7Huqlny33pJF2PY1KHQp7XlY+eThDcfrqKOO9z/q1OQTRQ3EPmIRkvY+\nHY8152C4gRGJDQlx2XqGrWtKM7ZX9JnuitJurSVC0sI2LkP/G2LU2ksCbO1FmD4Le6ty7c/6ShWC\n2LWtWOJ2Agy21WcyBLFWrb5sFnbvi8nJR9pv0Zux+sub+/MoUtpz+7LAS3PGnfA72qZonp0PUBui\nXOAsBIGkqCN7iPFQgCduyiyWVK2QCDB3QWxbNCuLDXJKbZb1NE7uVhO5uSM+0JwSsDSDPJJWK4ph\n9hQsfAx2rgt45WOvfpwSmLz9VaXdIq9Obc54mjcXOJo778AuJSy+8HDD6rihtYtbMHeWsHBJlYo3\nfgcGm3rdhgLAnSNiFPdWdazTJ8TKFW7270OEKMbaR5TSJkB3+T21rDg0du5Ca5YQJdhgU19G3kO2\nr4466njMiJuE+fPvvl0dZdRA7CMeYf55uY9jhM4KIQRCe5782Ofg1v8H7TMCUpYSjryIbd+CvdtY\nPlIqLSCx+d493dQtwMqndZPfug7Nk9pRY0aFAGaub8LTlLsOsHKBhAjKZtGWC6Q0ZybGqCFSi6B4\n5PqshgDL0FOSwzbSNE2JTZNiXuOPdiqeX85OJS0BudGOpwjHAj1FW6csFcBqz0tDlvY1pyhRw+zB\nA+Qun0O6JaDVnHVPsSbQ137ihqpQmzNlZSHNWVj5lLRxm29KUzbcErgcbsj+YtRTGnn+gkBi56hS\ntFGkQovhtlpkNmdLQBaWXsTWlX4MRz4h4OMO87RmBERnznjl6Bps3/TU5JyqQWdOKY39fl53Sx+D\nge+j/bDtxHsenXnYvSsbk7j1+GazddRRx3sb2ahOTT5h1EDsIxaWjbHNy2I8Zk4TdZcPtxCYPiXL\ng3QgYDJ7FhtsC4yMB9I5pX1vfZRBo03ZoDkbw/xzsHvbq/SOiMFZ+hTc+F2BoPEOqkjEcZK5oL0l\ncBc3IJqWUL4xA/OXxNRsXdF+0qEAUZ65n1bLmbWB9FrDLYFCq+jBzDwNN6NxkzmxfLv3IIwhicXq\ngVc1uh1F3NL8m3MOGiPvTpBL6D/acU1ZBTx2V9wOY0csn2XQOi4bjsEDgb7F54las+SnPqd93v+G\na8QacPfr8mNbOOuu+bEqMscDPW/Mw7iHbV7xAopzhAV9ywzNacKxT+8/n615sYu9bS+gmNa+AirK\nOPoZaM8pbbnyQ4T3IS1ZjRDFSoM+pQgLF7FEmrwwffz9Z+DqqKOOw6PaD7iOx4oaiH3Ewrbeli4o\n6cLa61hz+iFBtuUprL7qlYIjmD1LmDmN3fo9pbGihoT0cduZI8QcZZlSXLt3dOMLQbqcpAUzp+HB\ndwCTID9za4kQJJ4vjF/zXKk+EjFArWMyJD3+Y0RTK+TDz8D135Ux7XB3P8NVaNla00oJ5qkM9yc2\n/C5+34buogDTcNfd6t3kNm4J1FmqudCUXqq/LpAS+bwangJtznpaL4d4GsgEPJuzOo6lEzA6JQCI\nadzWAuyuQnuZPGoT2rNw4U9irTmJ2B98x/cdwdZNOPESTB9TFWjal7h+uCuxfXtB6/ngdfLZU4ef\nczMxcQsXYfasdHx792DcI0ytYOOhPMtGuzB/gegpAqSnFSFKCHO1sWsddXzgkbQICxfefbs6yqiB\n2Ectsr7Kh+MmNu5BNiYf9ZSias0RplYEaMY9QmcJS6dgPDSr3QkAACAASURBVJCYvzmtmzXmqZ1U\nwvI8E0O0cFEAZfumtEbJtDNVTQGcuCm8lboRquUCUOQT1qc5DSufhPnzAj6dBUjHEwd2DGt2IT4D\n2TUxa1OnxMxlo0may1J3+A8CiLjzfllt2RKjtfk2kwbgDW3vTv6QS0S/dRMWziNn/qDU4MIZHef2\nHc07zwWUZk4q3bh3HzavwP1vCoRe/CnYfEv7WH1NadsHr0NzGlu6BDPHxRClA4Exc2uNfAxbN+DE\nj8K9b8Lam2IfG9M63o0rAtZRG+69eugpt42rOs4QYO4s0fRRrNHG7n0TG2zAkY/BzEmlNt2LrI46\n6qjjfYl0iK3V/upPEjUQ+4hFmD2LrX5LfQLbi7IzWH1VwGrrOrZwwSvnYmy0q3ThlBiSsPhxVZ/l\nKVz8aVh7Q6CkOTWpTnzwutrsjFyk3ugKQNx9RSJzQP0lXTBPLvCWjwRSml0fc1YgKx2JTWpOqz3O\ngzfh/utKrQ63nJHbFMszc1Lgbu8udI5JkzXYUrrTUqVMDYGW4Y7SfImDxPGexPIjt76wopF3pP1s\nXpdbfWvONWwNMXnZ2IsfOjqm7jFp5zZvOGM2JbZp4zIsPich/vZNAa7BppitwbZYw+YUnPxRuPSn\n4M3flEfa9HGJ+6MmbLwtdq49I3A72FNBRbMDKx/zdOykoMHGfZ3frWsaP89g8yo2f5bQmoOTn9X8\nG526grCOOup4elEXTT5R1EDsIxahNQfHX1JqsNGBvVX1a4ybYlsGWzBzAhafl/Yq6RBmpCELSYuw\n+Hw5lp1cVPVZ1MDSIVz9f70tUKZxSmf9kX72NoETYqKCC+qTNixdgp07sr2YOukmpDkc+YTYo5F/\ng7r/TaXhxu5tNu5PqipHffcEi2DqjPRao2mBrakVTbi3rkq5kftyhUTrYPnEH4zI5xvchqIF82f0\nvLcBjUxpzK1b2m9IsCwnxBEceUHeY+tXlf4c97TtsKeU3/Qx8uUX4O43YLArP51hH5IGtBcInXm4\n/y0484exCz9F6N0TkO0san2IBJJHu2IwZ44LiO7che4tCfG9x2e+eR3W33I/tnvOZALt2dIGLcRN\nnfc66qijjqcVcYuwWKcmnyRqIPYRjBC3SgNMa80KkGxeE6iafV4AJBsRLV469PNm6iUpf6sxNJv6\nbOqptALE5CMBkRAAt1TgFEwfFQs0d8HTk4l0Wm2J0W3YQwr+mLB1TQBp70uA6bPZSFV96VDVjCHC\ndu5Bfg+ml4GMMHNKac3uEYGmvftKlY62vV1S2y0nRqpAtEjzzzLMe2ESNd3Nf5FAhrX7hP6GmCzX\nt1nUBCKsMS2P13EP2nNYnkN/i5CnwBasvk5++j8jtOakBRtsS6867qvSctTDBjs6L3e/RWh0oDmP\nLT1HCLFYtIY39yZg7QW4+bLAdGOasHZFQHAM+bgP65edvQti49oLYv+SFiHtC+w+RthoTyykAbNH\nYfseRBFh6SKh+eSNuuuoo44f8MiG5GuXP+hZPFNRA7GPeIRGB+uuKPWWpUoLhkBIDncqz3fuwOob\nk+rCRkdMVD7y1NmWnOlnTglINOcIa5ch31OKc4RMSpuzqgLEsPGu2g/FLTE9RPDgMvTXsahBSHsC\nRtNH5e0VR9CehuSMKjmH3pzccti6DbPHYWoFy1J48J9gOIQ8lvO9mZ4n02r1FCUwc4ow7sFoFyOe\npDBz9zjbuYMd+biYp8EORixndsu8VdQCLF3C9u4KWBGrEjPPsdaMWg6NenD/O9jIWxW1ZsVWRbH0\nXqMd2H0g4Le7ji2c0ToMdwWg8hxmT8quYvYkbN5RenM8gKklAavZ42C3sL0HYrvSgebfnlNxQtL2\nLgnv7EJfhJlht7+BZang362vwZFL0undfZVw5rPf7+VXRx11/KCF4RrcOh43aiD2EQ/LxmJbFi/J\nmmLnPpz7Qw6SDtl29XWlwHbuyFD02A9je/cFXtrzkHSw3poARZqCpVijC6mzTnEDli5inSXCcFvg\nbP1t+WW1Iti+q1RdFAswuJDeGl21RsLg5B8kXPhj2PoVuPMNGF+n7GMZgkDZkY/D1d8RM5RmKlII\nx6VHG3jrppDoY8QCV51lb6gduaA/ALH0YmtXgUQFC3mGJU1pyvLUGb1lMXXj+1rP3Ocx2MHCUJ5i\nV34Hpldg8aK2mTnlprYDVUVuueHrcBuu/p7AVXcBe+6PKr04fVwVl1u3Yf2KvMCGG0rLzp8vbTpC\n3CQc+yT24Ltak+f+hKo+0yFh7vQT9HU0rL+F7a0pjdrfEKi0HFu9jKVjwuwJwtL5h01l66ijjjoO\ni6RFOPLcBz2LZypqIPZRj+AWEpiAVHuBaO7Mvk3MDFu/CpvXse1bhCPPS/zd31PlZWhAuwt79yWz\niluUDbOHG+rv2J4T22YB6xyVNm3tu9C+I8FS9whh+jj5zn3YXSXMrLgtxhAaRwTUGl1YvOBtj/qE\nrZuweAGbOQ5XvojFbcLcSZg+TogbYp+yHLIBlmYCecsfh6ljhJE39W7LT8umj2LjAYxHBGL3T0sF\nSAfbSkH2t1RMkG3D8T9AaM3r+Fe/C9d/H5aeI0SRPMTGGdCEdhtGQz/+nhiu9iwWteDEp2G0R7j3\nqtZwNNB2/XUB2+aUWLibX5W+rXNTJ+T4D4lRG2zJwmLxIiyeVkeCpEmYXiaEiHDyM5OT2J2Yplo6\nEnPXmnrHnoshRGr+PuqJTUymoLemFGpwUL32FnTmxMrVUUcddbxbpENs9a0PehbPVNRA7CMeIUqw\nlU8o3RglhKMvPrSN9dawq1+GnXsCJf0NWHkRZk9ivU2YPkq0dEGi+PUrsHFNjJgZjHNV/5k31o5y\n2LgB999U6m/7voMryG+8LD1XcwrrbRLmz8DplySA37hByMaEZhfrrSsNmbSx3QfY6pue7ltQS8vj\nP6IqwGOfgDd/W95hcQuICekYI2BJy1ODTcKoL9bMDOIOtnKakI+0n/EA4o677+8JLE2v6PiiPmHY\nw7pLej9qYHtb7vO1o29+S2fcGmQaFSysYYNdgaw3/q0YrzwREzd9jGCpmDXzHppJR7qsqWVotLH1\n6zB1DzoL0qQduUh08tOE1jQsXYSrX3zHCkgb7GA3vuYtpbpw5jOqVh1sAwHaMyW7ZaMeoTUDRy5C\n0sTGfcKpT8PWHdhbFdglEPJM26cj7N4bAptHzhPNHnuvL9c66qjjoxC1n+sTRQ3EfgAimlqGqWVs\n3Ef01IHYWxebhEmvZAkceZ6wuyZWaW8d0hHhjIxHbfMukMro1GxStTjsy0qCMfTuYc15vbZ2HQY9\nCd2J9RoNLCTEcydhbw1rTmOb17C0T5g5SmjPYMsfw177V57WnAea2LCPPbgCK88TL10g+9hPwdtf\nFuiKmwKQd74txiqKYWcdmz81Ob7uouZz8keUAr37bWz9sqwikq7E/Y2OBPlxAhvX5es1d0omsvPn\nnCVahmYX27lPmD/hQCxAc14FDNv3xCpt3RWbNHOC0LsvN/7QVlFBOoSZFRUdWI5hSvfurgpYnvkM\n0ckfeaK0oG3dxswIUwvY3jqht4ntbcD6NZ36pfOElUvk69fg3ndh3MeyIdHUEmH5eaKpI1iji/W3\noLdBaM9BV95jtvoWtnMfmh3CrVelj2tNfc/XZR111PERjKRFWK5Tk08SNRD7AYnswVXs+ldk3nr6\nM8QnPjF5szXjfRU3xU41/ebaWxMzE9zaIU8J2QibPSFvq/FAack8xfIxzJ2GtVTC9agD27fFlA0G\nYqQ6s2rBU3iJbd8nv/s63H8T27wJcUI49WkBsM07SpcaErHf/Q5sflVi9Ouvkp/7DHbpJ2H2NJz9\nnEBhnimtlo1g8Yy3R9qF/jYQYaM9QtiCI+exzfvw4G0sagi83f0WZKZqyM07AnYnPkXoKiUX4oaA\nRzoEM+zud2DQF5M0dYywcpF84xY8uAJEsLtGmFrU/LfuQGtWjdePfpzQWXJbijtw4XMS6t/5lgok\nVj5GdOIT0uv1tmCwQ560CElzwmQNe15ROkOID/wKN9pYOsR2HxCGPXICYeMGNrUIGGH9GvmRC3D/\nLawzB915wt4GnP8cUUPN4kOzC+f+YNk4O0TOwI10vCFpSYdXtJZ6h7DMm6vHCaEz971evh+KsHSk\ndW926xZKddTxqBgPsft11eSTRA3EfgDC8hS79hUHWk3szS+SL54has8AEGaWsbOfhdvfEChYvkRo\nzmBxGzZvYY0OYWZZqblGF7MIu3dFzE/cJkwviEnqzApgJFNKteW5WKSQyKQ0T901vq2042AH+/1/\nKhZu+ggMh9jaNaUzb72qG/jUnADIsGhvpDSi3ZGxbOguKM138iW4/10Bso6nEkd9mD8JO/cFbMZD\nLKgZd7jzsvRavdtKg04flyZq46b80HZW4crvYSd+WHqrYy8SdRfh5tfJGy2lJtsL0rXdfo08HcPa\n2wKnvS1Ic6y7KOCWjpUmnDlCdOR5b1C9hq1cIlo6J+1ad17dEO69ju2tYf1dbOs2+dWXodEmnPkU\n8dnPQJ6RX/6ymMj2LNG5l8QYjnpa/7kTcONV2LqNdeYI/W1ousGtAc0poigmb3R0XCEiNNSJoRoh\nTgTKq68tX4AbXxdDOnvUfc0Ou95yL4aIyW+8Arvr+vyJF4gWn802RDbYIX/7ZdcVzhGd/QMPg+A6\n6qhDYXXV5JNE/ZfkByFCJJYoxErXhVjf7HEgFiVEp1/Cjv8woNY7dvX3sUyVkWHljKjmbIxdfwXb\nWYXdNZg/DvcuS4+VDiFbw9JFbHeTMH8SFk7D7W8L6HQXNI/nfxIufxlL2nD3dWmXBntw9y0BlO17\nYuc6M9p+1IcjFyTKT909P3JbiLgpBmg8wK5/jTB7DJteJtz5tj7XmYOzn4UrX1Y6sr8LezvQeBWS\nNmHhFNZQw+/oxT9Jfv0bcPt1pQpHe3D/MqzfUtpwb4P8R/4UobMIuxvY7BkVMPS3CHkmELV5V8cT\nRQJog6HWqKl+k6EzT2hPQ6NFvr0Od98iXbtBGPUIUURYuUQ4+Snyt7+C3XtF6xJQZebmXWzmhnci\nmCK0prC9dfK1t2HV24nEDcLpHxF7duYz6im6foP/n707D64ryw/7/v2de9+Ch/ewLwQBAtzJbi7N\nZrPXmVb3jEabtxlXyR4pI3tGlqNyHEdJuayKVEocexKllChxyrZSLk9iSx4tllySbE/FI41GC8ej\n6X1hs5v7DgIkse94672//HEeSZAESIDESv4+Va/w3n333XfeAQj8eH7n/I5sex6GLviyJdWUgXQd\nhIEzoDHStuf2qNf9fowyjbDjU9WFBpl556ppfpL4yge+nbk2mBlFss1+ftnIFb/oYAPSsT6/aLe2\nya8ynR2D3OO3Z6cxjyyRQtp2rnUrNhQLxJ4AIg7Z9gp65k+gVEDadviNqO84R5BqakonRlGNcNlW\ntDCJqPpJ/5PXoDCFq2kgnhyCmUmf+psZ86NI5VlIHIbhS2jDq0hpCs20oOLAJXG5dlyqDu08gPZ+\nWF2lmIVyxQdycQypnN8+qZT0KwmTtUhTN2zaDef+M0wNQ0MncuAvIjfOEF18B2bGq6Nfo5BtRssl\nZPMB/1kGz/sAbGLYB0ehoFPj0L7Dl/IIU9D5DBKkkI49vnDs7BiMX/cT1aNKteTENHryz1Dn65Bp\nfhpJ1qKpHIQpdPy6n30XV6v4RwqMweZ9xJUSMj2GpOoI4ggduuhTjqkMnPgjNNfig5aBs6DqFwi4\nhB+xCpKAwlg/kQv91kflvN9wHXzaNUj6OXUzI36xQZj2c7ziih9pTNbgug7e+f1OZZHu51gqCVO+\nzxagA2f9Kt3aJnSiH5HgVrpY6jcv+f3WjTANUcmnJ1Wrm7wbY+5RLqAD59a6FRuKBWJPiKB1O5qr\nbjqdrkfC+2x9k8r4eVD56jZGmYbqRRL+eDrra4FVitDcg9R3+NGOYgbiBKTbkFLBrwhM1fnRrkQS\nmrehvceIgwQk61BJwNRIdc/KrF8ZWCkiTVurk8JzSOcB3PaX/PylbS8RTQwisxOQbSXiLJTL1YUA\neR/g5CehpdsHZ5ODfil1KuPTcsUpv3I0k/TFY1u6/aT26TEqH30TSaSgdXd1+6QCDF7087GSKf+4\n9yM/spjIQG09Wioide0+5TvWj7buQAbO+/cRB6kM8fSEXzzQ1INWzvmgS9WPms2O+1RXkEKnhv0k\nV418GzftRvPj1RIfFT8ClaqFKE9c1wP9J/z5QRLNT8HUKEKMpGpxWw+jI73EM+MwcYP45FGk+yAu\n17LyP2iuukG6xogLkS0HffAcppDWbQ9+/TolTVugUvCrfTc/jdz8N2GMuYPikyBm8SwQe4JIOsfN\ndOT9z6vDbX3eBwc1OSTXjqoSlwp+8nd+Grf7M2gygwycBgRt2w2X3/eByuQg2v0cOtLr02uJagBX\nmPHBQnUfTG3o9inH2UmoqUNTGZ8mS+dwXQcREeLp0VspsHjoMvH7/9GnCoPQ/9HPT/jgq5L3S6YL\ns5CqRycGfQBTKcLkkJ+8P3zJp2V3fMqn71TQwcvEJ49CbYOfeB/HhIc/T+XMG1AsALH/OlEdPYsq\noNNIbb2fX1XbgGvbRiVdhziHZtuQbHWSfpj0qxWTNb6e2eQgWi4iDZ3o5BBSmEabuiFVC4VJXOc+\npLGTePyGH4Xc/X3Q8RTxlY9w2Ua/5ZJWU6Zj1yGdIVa/16dEJUhn0dE+XNc+aNuFnPozv49lHKF9\nn8BTr6/Yz9atn532PejVjyA/ibTvwdV3QH3Hir/vSpMgRDqeWutmGLPuSZjGtVtqciksEDPzkkyj\nnxNUFY9fQy+/j06OotNDOJck2H4Edr7iA4FKhaiYhyFBMzvQSx/4lYOz49C6DaG6grFrP0wPE/ed\n9BPMs21Q3wkuwLVuJTj4w8RXP4bpYVScn1NVnRQd9X3iV99lm/yqnLpNfjL+2MDt7YRiYGLABzc1\nWT+hfuA00rwFeo6gxWlAiK+dhvNv+wUIs2P+/cIaUOdTqcO9QLVo7c2SFqlstZr+NJptR3J+UUA8\nPYJMjkDTFlzbLkinkXIRTWZ8kDg77m/JNCoBev5tQKHnMEFxEp0eQbr2+8nw4qB1O+SnkOYuXDqL\nVErE133AKy6E8jSksj7wK0ziwhSuc191xec16Np313dz9SbOSipDsPNlX0LDqvEb88TRcoH4hqUm\nl8ICsSecxhHMTPiNnmvvk24pTPmSD/lJmBohPv8OVMoET7/myzQUppBUBiqT6JXjfuVgy1aobQKN\ncfs/h7TtgCCBTgyBS0F5pFopvhmpb0PqNxHfOI8W8mhNI0G2EWnecmtETHLN6PUz6OyEnxeV8ZPf\n43IRBi/7tGsi7csyVErI6DWob/OLBnLtSK7VbzSQyBBJL1QqaGUGZmd8CjYoQHYcKU75emOFab9B\nOM7vF+kS/jP2HCLc9zm/EnTsGvHwJaRhM65hEzo9Cq07cM3dEFWI+k76OWv1HdD9DNJ73K9uFIHB\nS8j+70cQH1SpEp1/h/jMnwOCtG1FDv0IrqUHqWv1Kc2htyDtg1qdHUc27YSaBnR6xOcDGvw8LAkT\nSNc+tP8kSIB0P7PSP0p3sCDMmCfYKq6aFJEfBv4pEAD/r6r+0l3Pp4CvA88BI8AXVfVy9bmfB34K\niICfUdVvrVrD57BA7AmmqsRXjqNjvtipdO4haJ+/EJ/U+S2CdGIIpiagVCa6dhrpPkjQVOPTnm07\n4cLbPtCYHoPRq+jm3bimboJqIKATA0gpT9B9gGii3U/iTqYhXUc83If2nfar+3It8OwP3V5AoIpr\n7KbSfM0HWXu/jyDXCqU8btdLxJc+ID71HSjO+vlIqSyarvOrHpu7fBCWSCPbnoXJIeTCu2iuCZkY\n9KsLaxv9KFpU9inUXS+g58UvQAhSyKbdMNaP9BwifPo1JOH3ZIwrJZieQqeHiWubkDhCo4j4xnmi\nCx9UP0szEqaRuhbUhT69KfhSHyK3Vx+WC8T9J6GmDkmk0NF+H9Ama/yOAxqDCwi2HSEev+4n3Lft\nQDRCx677YLrh9oR419iJNvi04P2q8RtjzHKRRArZtGt13kskAP5v4AeAPuBdEfmGqp6cc9pPAWOq\nulNEfgz434AvisjTwI8B+4DNwB+LyG5VjVal8XNYIPYkKxfR8QHINfuVfgOX/GrCeUimAbfzJaLr\nv+3Pzc/CwFXik3+OO/QDSLaRoKmzukdl2c+LiirI7CRu5wu3LxQkUFUoF3Gq0LWfYNNOKExT+eCb\nkM4iqYyv2zTtN6FGIJ6ZQC9/BNNTUJpFr18h6j2N5qdw2w8hW5+D2SlfbmNqBE0kcRTQxg60XERv\nXEGbOqH/HNJzADbvRQbOE+faYWbGpzRdAOUyWiwQ7P8ccSJDdOUTRJSguQutrUc27boVHDIxhF4/\nD3UtkJ9AZyfQmjr0wgcwdAWtFPwoXrYJLc7i4hjZ9ixx78e+FMLWQ3cGSC7wxXQnrvuFAGHC9yOg\nsxPEF96H/DRaLBJunbviMURat87/fbMAzBizirRcJL6+aqnJF4DzqnoRQER+G/g8MDcQ+zzwj6r3\nfxf4FfFD9p8HfltVi8AlETlfvd6bq9T2WywQe5KFCT/ykp+qljpouu/pkmtFug/40ZepEcg1I6k0\n0dVTSNNmv3F0OgflOl/ws30b4gJcU+fta2SbcFv2E109iU6OInqOWByutRupbUDHrqGFaT8iNj1O\ndOMS4Cu0a6WAlGbRcon43Ds+lRqExMePEux7lSBIQUMHcboWxq77ka3aBnRmElJpyDYS9Z0kqMkR\n7P8s2rGb+I3f86tJBy7B7DSy6wW4fs5v1TQ7hevcg/Z+TNR/hqC1G1fffuuzaFTxE/bDJNS1IZt2\noTfOQyqD1uRgNibOTyPDV2HrQSRMorNTaP1mXLr2nlSwhEmCfZ8hOvcmzE4iPc/4empA3HvSl6xw\nAdp3mri+zaf/XOBXexpjzHoRL1tqskVE3pvz+Guq+rU5jzuBq3Me9wEv3nWNW+eoakVEJoDm6vG3\n7nptJ2vAArEnmLgAt+MI8cBFCELcpvuvdHG5ZrShnahYgJlxpLUbdQE6cAk3Pe5LFmhA+JmvoNVR\nH9ez/57tYFxLN3rjMtra42tw9Z+Dpk6Cp16Fpk5fjb55C3r+fT9ah8LARSjMoKWCn6dVmIJKAUk1\nQDKFRiU/gjQ5gqDIwR+EwYswO4GLKmiYJr74EVSKxH2ncZMj0NDmC6mmc8Q3dxlQ9anF/LR/nKqF\nzU8hiRRuz0u3gh4tzqJRDGECnRpBUhlc82bisesQVfzcskQaCRK4MI1ODFO5/DHafxYdukoclXC7\nXyDY9+od/RPUt0LHXrT/LAxcIY4i3Lbq/K7q7zZVJe477RcpOMHteA7X0LYMPxHGGPNoJJHCdSxb\nanJYVY8s18XWKwvEnnBSkyPYuriJ3JKpw+18AWnqQve8hBQm0SAJldjPf4ojGBnG1bUSdz7tR2vm\njCDdwQV+NaLG+DydIMkMYfd+AD//KlWD5id9kdPmLbimzcTn34NkGte4GYavQhwj9e24lm5/3akx\npKkDl2tCmzsgP01czFM59y46O0mw41lcph6dGka6n/Zz0wZ9IEqmwRd/bVBc6xY0KqHjN3Bh0qc/\n5wRh0cnvoeUyEOO2HcQ1bUaCELf9WeJrZ5DaRoJsA3H/WaShAyol4iuf+HpkyRqIk+jINT+yWH9n\nEKU3LkKuxZerGL0GW57CdT9NfOEDiCNc20508LIPUstFtO8MWCBmjFkHtFQk7l+11GQ/MHe7jq7q\nsfnO6ROREKjHT9pfzGtXhQViZtG0MEt8/gM0Kvu55ntfglwj8ak30clhP5k8CInPvU88Puhf076V\noK3bb3uRTN+6ltt6gPjCB2h+Eg1SVI79Ka6hDbftIDoz4UeNXBItTiGZHCIBce9ppKUb17XH1/Eq\nF9HpMSSZJp6ZJL70MTo9BqkM4XM/hKutg0wdevEjgiAkzjYQX/kE2bwLaWgnyNShBz9L9F4eRm/g\nMnVIx06C/a/hMjl026FqpfoQmVNJXWcm0XIZV9+Mzk7C7BTSWv2nJA7N+/0mNVPv55OVClDOI/Vt\n6OBlH1wm00gi6Sfs30Vq69GZMZAQSdb4kh2Jetz+12HkO7hN24mGrvhAtlyE2rp7rvFQ39/8NPHY\nAKQzuMZNtvLRGPNwVm/V5LvALhHZhg+ifgz4L+465xvAl/Fzv34U+FNVVRH5BvBbIvJP8JP1dwHv\nrFbD57JAzCxaPD1KXCkR1LeiMxPEYwMEdc243c8Tj93AuRCOn0YnR3ANbUSlIpU3/iNRuhbJNRO+\n9Bdxdc0+tTYzBXVtvoxD/3mkoZV49DqaSKN9Z/3/qgYu4Fq60MlxX5m/rZu4/wJaLBDuOITkGn2a\nEtBLn6D5KT+p/+pZdOAKweEfRDZtJR4bQJo3I9370IHLSM8BXMtmdHoMvfARUiwhtc1+tWJTJy5T\nTVOK+E3G59Co4jfpLhfR2UmfKs3U3+6j/rPo1Ag6NUrcewr39Ms4FM1kCbufRnueJrpwzO9PuWUv\nZBu5m9v+LPH1C370q2P7rdTlzcBIkmnc9kPo1TNQm8NtPfDI31stFYhOvlFNq1Zg2wGCTRu3Er4x\nZm1IIoXbvHtV3qs65+vvAd/Cl6/416p6QkS+Crynqt8A/hXw69XJ+KP4YI3qef8OP7G/AvzXa7Fi\nEiwQM4sU3eglOvsOeuMycWcFguDWZHMJkwSt1dSgnIV0rQ9EBnqR6Qlo6iAeHyA6fwx3+PuJh/uI\nz33o54dNjSCJhK/An58hGryK9p3xxUlnp6ElACdoaRaZGiEe7EXEUSnkCQ++itwMmrKN6LkP0EoR\nicqoC4jPvYde+hhKeXT0OrKph3DbMwTtPf4zzU4Tj/SjY4NoMoNraEXihf8dalQhOvkWOj1OXCri\n6ltwXXtxLXPmd2qMjtxAo7IvzjrYh25/Br12gcrUkj6rTwAAIABJREFUJOHu50gc+ZH79rUk0wQ9\ndxdlvZNr7IDGpVes11KB6MpJND+N69xF0Fy9RmEGjcq4uhZfAmR8EJYhENP8FNGF436VbM/TuKZN\nj3xNY8z6peUCcf+Z1Xs/1W8C37zr2D+cc78A/LUFXvuLwC+uaAMXwda2mwfSUoH40nGkcRM0biK6\nfhlaenDN8wcCwZ4XkI4dSEsXUucLulKp+FEtgKkxn5rL1kNNlrhconLyHeLha+i1i76ERZiE/AzE\nZaQmi2vtJh7uR3LNuLZuH/AUZgGIhq8TD19Hw7R/n5ocLlNHdO0C8bkP0elJSGUJe54hDlIUv/mv\nKH77N4gnh9FC3u+tOTMGxTyuc/5JphpViPvPEQ/0Ql0Trr4NcQmC1i13pPDc5p2+LlmliDRuQoOA\n+NLHkMlBHBFdPP7g/o4i4rFBdHLEl/qY7xxVND+NlgoPvN5c8ZVT6Mh1iGPicx+ghRn/RLrWr6Cd\nGEZnp6Fxkw+mR66j5eKd710uolNjaLn0wPeLLnwExTy4kPj8h4t6zQM/w/gQ5Y++Q+XEG2h1UYUx\nZh3RZbo9IWxEzCyO4GtYjdyAMET7zhInkrhNPchd6TtJ1RB07ca1dFIqzMLoNVzbFoKdz/oTGjeh\n/Rd9raxE2s8dq29H0rVEF4/7vRqTaWjqwO09QtDQDrX1sGUv8dn3YdqnKqW2zgeJ5z+AmixBx3a0\n3IVIRDwxgo6PQDqDjlzDlQpEiTTRH/8m6qqjbJOjuI4dPv04O4nbdsDPPbuLqhKd/YB4sJd44ApS\nLuIaWpB5AlGpyRF86q8Svf1NdLAP2rb4+XHifOmJ+4y4xRMjxAO9xEO9gCACrvtpgq47V7OqKvGF\nj4gHr4JzuD3PEzQubrK+FvPVArFpH8REFd/uZJrgqVeIJ4ZwqRriYoHKx77CPzVZwgN+f07Nz1A5\n8QaUS5BME+5/5Z7v/x3KJR+Ah0m/0vURdwPWSonozHuQqkFnp4nOHyM88OlHuqYxZvlIIo3rXJ3U\n5OPCAjHzQJJM43r2+T/MGuM6dxJfOoVOT+BuXCI88OlbKcI7XpeuJfnpz/tNs9MZJAj9CM/4MJRK\nIBDsfR4dHyK+cRnVCNfahTRt8iNKm3feEWCELZ1oKoMWZ5FsA5Kq8aNisS8jgSqSSBAefI3KybeJ\nx4b8ysOpcWhsQ69fIB7qg0wdpDKIC5FNPTA2gLR0EnQuUL6jUkbHB3GtXVCTRa9dQDbvxHXNP3rm\nXECcaUBatvhaZpl6v9NAGBLufH7e1+jsJNGJN0GV+OInuG37IddEfOPSPYEY+WniwT6ob4FSAe09\nDYsMxFzXLqIz76LFGaR58606Zf77lSFI+7RtfOJNqKkW150Y9qtJc03Eo9f9zgb1zej4MPHYIMGm\nnoXfr+dp4vMfgk75UdI5CzYeShz7gsKJlF8YscQRQWPMytJSgfjq6qUmHwcWiD0hdGaSyvnjEEUE\nOw/g6u5fvPVuQcc2JNtA5ePvoePDUCnh2rrQ8WHKZ4+R2PeiXwWoSjw2iKRq/GrHsDoactPMJNHV\nc0hrJ8xOE1+/QrD3OT9qUirg2nuQ7J2FTqORAeL+80gmR9CzF5e7PcFd0hkfGF674DcO3/0cEgQE\n3XuIb1xAh/qQxjbCQ68TXz6FdO1GB3shP407/FkSe55HKyUIEvesElRVn/KcGvOPJ0YQjXF7nifs\neerO8wavopNjSPMmRGMkDJBM1vdTcweuc7vf8zG4s6barWsU8j6QrGvyoz1jA4gL5h11I0yAEygX\nkVLBB2SL5BpakWc/C5WyT0e6+WcnSF0T2nvGpxJdcKvCP8kav0dnMQ8aIan7B1auaRPy7PdDHN1/\n5GyRJJnGbd7hv9/icDsPPfI1jTHLa6EpFWZ+Fog9ISon3/UjCS4gOvEO8sIPLBgULMTlGkkc+j6i\na5eIEymiwX7igau4SkQFJXjqBTQ/Tfn4G4hzBPtfJmhsvfMiIv6m6m/OIUFIsGXPvO+p+Wmik28j\n6Vri8RFAcVv3QWEGSaaRZIqg5ylcxzZ/rWrQ5+qbSX76rxLPTCK19biaWiqjA6gq0tCGpjOE+172\nbxIkfIouTNzx3vHwNeJT7/pFBaUirmMrkq3HtXffbl+5RNR/kfjySd/GG5d9ui7b6EeSEmlc25Zb\n7VqIZOshmUYnRwnatkBDG65pE27zvRPmJZnG7Trs/9dZ10ywbf/t9pQKgCDJ29X2dWaCytljUCri\ndhwgaOnwqd/7cJ07/XZVxRlcS+etIMo1d8DWp9HxQWTbAWQR9cskcf/PvlRBz1P+e+CCRx9hM8Ys\nr2Qa1zX/73MzvzUNxB6HXdM3AlWFUhFqcz6dU5j1QdkSAzHwRV2DHQeJ45joj/4t1NRDXRM6PUE8\n0OtrjY3fQDJZ5MaVewIxqa0j6NlL3HsWamoJtj61wDtV214u+Xqv6Qzx6ADld/4M3v9zXGMLkq0j\nPPgKLls/7x9kqckS1GRvPQ72PIf0X/Tp1c3bkSBASwUqJ95Fp8dxTZsI9h6+HaBOjfnq+Nl6dLyM\nNLQiLkRHB6GpHfIzVD5+k/jGFTSqEOw+BJUiVMoE+z/ly1tMT/rUaDKFBAv/c5NkmvDgp9HpcSRd\nizygNljQ3HF7xWNVdO0S0YVPfMp35zMEm3zAWDl7zAdolQrRh99Bvu8LuAeMZIkLCDq2znPcEXTt\nggXSsqtF0rVr+v7GmAVYanLJ1iwQe1x2Td8IRAS3fR/R+eOAEnTvefRRiuEBXPfT6MQQ0dmPcQdf\n9CNWqmgYEg9eI9g9f8X+oHs3rmvngmmxO9peW4+rbyYeukbUfxnXsRUd7ENnUki2nvjaZdwC73PP\ntZJpgm1P33EsutGLTk3gGlqIB/tx7V1ISzXAaWz3iwomhpAgJL7Rh44NAoJrakPDhB+F69xOfOJd\n4oFeXF0TkmtAgoCo9zzxkC/U7Fo7CffNPz/sVvtSNYtK32kc+0KuidStPtQoIr54Ask1Akp8/jiu\nrcs/Xy4Rjw37ALIwjZz9CNn/ghVsNcasDEtNLslajog9FrumbxRBRw+uqc1vCVTziKMJqqgqrqMH\nrc3BzCThvheJ+y8iiRSSyvmifpu2+FV2l88CEPbsRjL+vRcThAF+vtf+l3CjN1D1IyHRwFW0UvYr\n8tKPOO9IHBD7UcO7ApOgsRV56nniyTGkdTPRsT9HGlsRccTjI7hNXcTlElKbw23ZSbjnEK692y8i\niCLikRu4Jr/FUzxyA42iJaeD76FK+aPvoZPjSLaexIEXfRpS8COclZL/JZhI3vo8bscBKqd+DZIp\nXPdeH0yWS5BcP5uFR2NDxOc/hiAk3H0IyS7PbgHGmFWWSOMWmGpi5reWgdiq7JouIj8N/DRAe3s7\n09PTHD16dDna/2SrhOjYJBAimS54+13QmGkcb1EPmSRy/BQ6OwVx9X9Hl/rmXV25aHEWHStA0y5f\nULaQgIvX/O1hqUIhQCeH/DyuT84A1WH1KLpdpyq4BAhMDPsSDOKQ8giUA3RqCkk0wsXr/lYp++r0\nFYXJwerrQ+S7313k54wgqqaOXeAn1scRhAmmZ2b43oz6vTGnxpDR79yuzxYl0KKvCybpDHznO7c/\nZut+Pw+u6KAI8sb6+j+Lzkzenjt44zuP9nPykOx3w8qy/l1Z66Z/SwXiK5aaXIrHfrK+qn4N+BrA\nkSNHNJvN8vrrr69tox4TerMG1Zy5T0ePHuW1Vz/tS1XEEcX//AdIg1+hqeNjpF599Y5RIY1j4rFh\nAFxj863tfBZ+z8hvEH7XiFo8PUl0/aqvbdW1ddEjT1osUD51jGh6ksS2PYSdt0sxlD55B6ZiJJMl\nGhsmsf95X0z0xPu4bAOSKJJ46dN+T8uqyo2rVE6+DzVptBARbtmBy2R9ynOedLAWC8RT4371Z7aO\neHKM0vvfhaSDOMZ1bkP7LkIqARR4M5XipcQsrqEeHR8m2LuXsKP7nuve+z55ot5zftVs9y6/onOd\n0HKJ8pvf8itG4wgtzJJ85fVVb8fRo0ftd8MKsv5dWeunf9VWTS7RWgZij8Wu6U8qVfUFWYPQj87M\ncTMwExcQdG0junoBgGDLjnsCpMq5E5T7LoFCsKmT1P7n7vu+8wVYWipS+uBNlOqihHKRxM4754Kp\nKtHQDTQ/Q9DchqumvioXTxNPjOBq66icPY6rb7z1nKvJEg3fAOdAQGpqkfwsrqEFl2uk3HsOPXGM\n1DMv3CrjoJPjkErjsvXE5TKusZWgdf4dCLRYoPjB9yA/CwKJgy/6qvbO4RqaicdHiK/3IukaXCZH\nND4MzhF2bicauobr2ErQNu9A8L39lqoh3HVwUeeuNkkkcd27/QIOkQXnFhpjNgiLw5ZkLQOxx2LX\n9CeRqlI+8wmVvisQOJL7nyNsbb/znFIJzc8SbNlJ0LYZAMndWR9M45jKtcu4phZAiAev+7lfQYgW\n8kgYLmpRgRbyfp/ExhY/wlQdYZsrutZL+dQxCEOiK+dJvfAakq5BS37Su5bLlHsvo4kaknsP4uoa\nCHp2ERdmiSfHCfc8i6vN+e16oojShRPo8CCSSFH66B2SRz6NOIdr2UTUf5l4bNgHGLl7K/XfFE9N\nEE+OEs8W0EoZuXaVRPc2iJV4YhRiJeje7if9F4t+T844JNz9DOFjFqyEW/egm7rBiZWkMGYjS9YQ\n9Oxd61ZsKGsWiD0uu6Y/iTQ/S6XvMq6xGUolyudP3RGIxflZiu+9gRaLSCpF6sgruJrMPdcR53B1\nTcTjo35lZzaHuoDK6Y+p9PdCEJI69DxBY/N92yOZLK42RzwyCKqEe+8NUqLRQchkcZla4rER4tlp\ngnQN4bY9FI+9SfnsSVy2jmign+kTHxLseAqXrqF89hMoFolLFYKmNlxTG+H+54mO/n/I3mcIGluJ\nx0b85PdU2relrROtVEjs2OPnai3Uj2FI6dj7aGEWjSqIc6QOPEfy2VeIJ8b86FxDM0FLO1rI4+oa\n/Vy8x5Q86sILY8zaK+WJLp9e61ZsKGs6R+xx2DX9SSRB4FcblkposYCru6sS/vAAWioSNDUTjY0Q\nDQ/gttxbmBQgeeAIlb5LEMeEXdvQ2Rkq/b24xma0kKd07hQ1L9x/L0EJQ5LPvkw8Pko8O+NHuErF\nO4qaBi3tlM98Qml0BKnJkDz8CgCuroHUS59F8wWkrpHSqeNIMoVzQvHd7+LqGnG5esrnz5DYsYdE\n1zbCts3EB18i6rtIPDKIa2yBRNLPifvwbTQ/c2uy/f1SrRIrpNIEjY2oBMQTY341akMzruF28Onq\nm31S3hhj1ju16hVL9dhP1jfLT1JpkgcOUz5/CperJ/HUgTufT6ar2+D4IqL3SzVJMkVi++1hbM3P\n+tVzlTJaKhFkc1SGh4hGh3ANzSTa2ue/TiJJXC5ROn0SHLhMlvQLn7qV2nR1TZBIE3RtQ4KASu8l\nggN+qySXTJHYe4Dy6Y/RwixBV49f6RmEEEXElbJfHDBnIUFi9z6CplY0jgia2xDn0EIBnZ0maGxB\no4hoeOj+/VibI2hpI56ahKhAsGuf1fYyxmxsqRqCrZaaXAoLxMxDCds6CNvmn4QetLaT2LufaPAG\niT37CNo23Xounp6icr0fqakh3LzlntWPriZD4ulDVC6cxtXV49o6KLz/NpJMwqULyHMvErbMv61O\n5do1pDaLq6nx6ceZaYLqik2iig98GpvR/Kyv2D9HomcnQcsmwr0Hia5eQhIpMj/weUofvkVcyJN8\n5nnC6lw3qC5EuPvzJ5O4+iaikUFQCHu233pK45h4fBQQXEOjT8umUmT+4hcpnfoISadJ7j/yoG43\nxph1TYt5KpcsNbkUFoiZZSfOkejZQaJnxx3H42KB/DtvoLGi5RKpYonkjnu3ykl0dJLo8KsBy329\niBOCunqi8THiqQlYIBALGpsonz9NXC76fQjnzM+SbB1hRxfR9X4IQ5I77i046GqzJGuzMKfdqbtG\n+x70uVOHnicaGfKBVvPtdhZPVRc3AInurbeuGzQ2U/PKZ9E4RsslNI4XXex2rWkU+RRwKr1h2myM\nWWmCYiP7S2GBmFk1ms+jlQpBUwtxIU80MgTzBGJzBQ2N4Jw/V4SgsWXBcxPbdiDJJPHsDImOLlz6\ndkpUnCP59DPo9t2LXo35MCRMELZvvuOYVipU+q8SNPt9N8t9vST3PH2rZpqWShSOvUs8MY6rbyB9\n6Hk/AriOxbMzFN9/Cy0UcE0tpJ55Dgnt14kxTzpJpQm3WmX9pbDfnGbVuNosriZTnTulhPseXNfK\nZXPUvPhp4qlJXDaHyy289Y24gMSWrQs/L4LMs3pzucT5WSp9VyEMSXR1+3ITAEGAy+WIJ8ZBFZer\nv6NwbWXgOtH4GGFzK5WRIcoD10je9TmiiQmiyXG/CGAdqFy9TFwu+QUZI4NEYyP3lDAxxjx5tFig\nctEq6y+FBWJm1UgiQfqFl4nHRpFkkqBp4dGtuVw2h8vmKPX3UfrwQ1xtlvT+fbjU+qk3pVHE7Fvf\no3T+LDozS2L3HnI/8pd98CdC+tARypcvggiJrdvvfHEQQBz7zbzj+J7dBaKJcfJvfg+cEBfKRBPj\nBPV3rlRddYkEUqmglQqoPvoemsaYx4alJpfGAjGz4soDAxRPnEBSSdLPHCLctPnBL7pLPDND4fhx\nXDZLZXiQ4pmQmoPrp6iplsuUr1xGVJDmZkpnTxO/8qpPrQIgSG0OSSTvKKsBELZ3EHV1E924Rti5\nhbD9zkUA0dgYBI6gsQmuDxCNja15IJbYshWdniIaGyWxc4+vKWeMeeJJMk24zVKTS2GBmFlRcalE\n/sMPcbUZ4kKBwkfHqP3U/euCzefmyItLpXxpjELhvudHExOUrlzBZTIkt25d8flLkkzisjnKfVdx\nUeRXa8axb3u5zOzbbxKNjVPu7yPs6CD72c8RNvogTYKA9P5DsP/QvNcO6ushiojGx0DVP15jkkiS\nOnj/7aiMMU8eLRaoXLDU5FJYIGZWVjXldnO+VFwsPeAF83O5HImODso3rkMQkt658CT/uFBg9u23\nQfz7xcUiNfv2PdT7LpY4R/ZzP8TMd/4ULZdJ7NiJq45axbOzaKFAZXwMDQMqoyPk33+P7Gc+u6iU\nXtDYRM0LLxONjeIu9/qRMbMmtFSiePEcFIsktu5YF0GxMeuNFXRdGgvEzIpy6TSpHTsoXriAiFDz\n7LMPdR1xjvQzh0ju2o0kEn5kbAFaLKKVCmFLM1IoEI2PP2zzlyRoaCT3l76AlstIKnWrOKvLZCCV\nIh4bQ5IJwvZNaLnsR8wWObcqaGomaGqGq3fuba+Vit9KKp22eVqroHjqBOUb13DJFJWRYWpf/czt\nRRnGGCSVJrHdUpNLYYGYWXHpPXtIdnf71YOPUJZBnCPIZh94nqutJaivozI0jKLUHHjw6szlIkFw\nT0AkiQS1L72MS9dQunIFSaZI7dz5yH/A45kZZt9+m7hQIGhoIPP88xYUrLBoYpwgV4ckk0Qjw76O\nmvW5MbdosUDZUpNLYoGYWRWu5tE3dFZVoolJX0+sLrfgdkAShmReeJHK2BgukSBobJz3vNXkajLU\nvvwKNYee9XPdMo9eRqPU20tcLhG2NFMeGqYyMkJi06Z7zvOjZiWkxgqvPqrEtu2UTnwMCEFr64qW\nQzFmo7LU5NJYIGY2jPyJ0xQvXAIgvWcXNXsXnicmiQSJtvkr8N+PxjFaKiPJxIoELcsRkN4kySRa\niXyaU3XeBQnRzAwzb72NFgoETU3UPn+EOJ+ndPESJBKkdu54pFHKJ01yS49fsVqp4OobLLA15i6S\nSpOYZ+cSszALxMyGoJUKxUuXkXSK4pV+ir19JLo2E2Zrl3yduFDE1dw7pyoulZh++32isXGCxgay\nLz63roOUZE8P8cwMleFh0nv2EDTfW0KidKUXLZUJm1uoDA1RvjFA4fRpiGK0UiaenaX2yOJWP2ql\nQulKL3GpSHLLlkWliR9HQZ1N0DdmIT41eXatm7GhWCBmNgbnkESS/LFPIHCoOGaPnaDu0y8s+hLR\nzCzT33uHKF8gbGwg9/Jzd8zvKV27TjQ6RqKthfLgEOVrN0ht7V6JT7MsJAypOXj/+W8ukUAjX3hV\nUdAYLZYIm5vRSsXXKFukwqnTlC5dhkSCcl8/uddeQ5I2P8oYc5sCsaUml8QCMbMhiHPUHj5I/sx5\ngoY6Eu3txFNTS7pG8UofcbFIorWJ8sAw5aERkptvz6kS50DVV7hXXfSKxkdRujFIqa+fsKmR1Nbu\nZU91Jbf2EE1NUxkZIb17N+HmzbgrV5n54BhEEdlXX1n0tSrDI7iGBlwySWVkmLhYILBAzBgzh6TS\nJC01uSQWiJkNI2xtoe61T1G6fBUtFMk8u39Jr3fJRHVOVXVbnvDOQCvZuZnK8CjlazdIdm+5I0hb\nCZXxCabffg+XTlO62g8ipLf1LOt7SCJB5vCdhWI1UoLmFiQMKQ2OUBNFiyp9kezuIn/iFLETH5At\nw4IDY8zjRQsFSudt1eRSWCBmNgwRIfPMPlLbupEgIFji/LDU1i1Ek9OUh4ZJP7WbsPXOvS4lCKg9\n/AwcXp2tk+K83x0gyGVBY6LJydV53+kZkp0d4ByVkVG0UllcILZ9O0F9A1ouEzY3W90yY8z8LDW5\nJBaImQ1FRAjr6x7utWFI7eEDy9yihxc2NhBkMlSGhsE5Ul2dq/K+6d07yJ88DQipni33LY47l4gQ\nttieksaYhUkqTXKnpSaXwgIxYxapPDZBnM/7AKom/cjXc+kUuVdfJpqYxNXWrNoqxPSuHYRtrRDH\nBA8Z1BpjzHy0WKB4zlKTS2GBmDGLULw2wMQb7yEiuEwNjZ95BZde3EjS/bh0CpduXYYWLs3Djioa\nY8yDqM5fbNvMzwIxs66oKvFsAUkmcIn18+NZ6L2Gy9QQ5rKUBoepTEySfIgAqjIxRWlwhDBXS3LT\n6gdgxhizkiSVJrVr91o3Y0NZP3/pzBNPo4ixN45RvDaAS6dpeu15Eg25tW4WAMmWRopX+6lE8a1R\nsaWKpmcZ+7M30ShGKxXqXzlMesvmFWitMcasDS0WKJ61gq5LYYGYWTdKw2MU+q6T2tRKeWyCmTOX\naHhx9Tbsvp/09m4QR2VyknR3J2Fu6fO5KpNTaCUi2dZMZXKK4o2hZQ3EVNXvKRmG95TmMMaY1aBq\ne00ulQViZt2QIACFuFxBy9G6qtouzlGz49Gq7Id1OSQMKA2NolGFbHvLg1+0SBrHTH1wgvylq7h0\nioZXnyfRYPPAjDGry6XTpHbbqsmlsEDMrBuJ5gZyz+xl9swlUptayD61fa2btKyCbIbGz7xMaWCY\noC5LahnniFXGJshf7CXR1kI0McXMqfM0vHx42a5vjDGLEReKFM9YanIpLBAz64aIkNu3k9y+nWvd\nlBUT1ucI61dg3tvNrZHiGI0inBVbNcaskfWQmhSRJuB3gK3AZeCvq+rYXeccAv4FUAdEwC+q6u9U\nn/s14DVgonr6V1T12Eq01QIxYx4DicZ6sgf3MHPqAmFDHbX7bdWSMWb1uXSK1J518fvn54A/UdVf\nEpGfqz7+7+86Zxb4m6p6TkQ2A++LyLdUdbz6/M+q6u+udEMtEDPmMVG7dye1ex/f0URjzPoXF4oU\nTq+L1OTngder9/8NcJS7AjFVPTvn/jURGQRagXFWkVvNNzPGGGPMY0yX8fZo2lX1evX+DaD9fieL\nyAtAErgw5/AvishxEfm/ROTRK3gvwEbEjDHGGLMsXE2K9N5lS022iMh7cx5/TVW/dvOBiPwxsGme\n1/3C3AeqqiKyYGgnIh3ArwNfVtW4evjn8QFcEvgafjTtqw/1KR7AAjFjjDHGLIs4XyR/atlSk8O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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "plt.scatter(port_info[0,:],port_info[1,:],c=port_info[2,:],cmap='Spectral', marker='o', s=10, alpha=0.3)\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "plt.scatter(sdp,rp,marker='*',color='b',s=500, label='Maximum Sharpe ratio')\n", + "plt.scatter(sdp_min,rp_min,marker='*',color='r',s=500, label='Minimum volatility')\n", + "plt.title('Portfolio Optimization - Efficient Frontier')\n", + "plt.grid(True)\n", + "plt.xlabel('Annualized Volatility')\n", + "plt.ylabel('Annualized Returns')\n", + "plt.legend(labelspacing=0.8)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "\n", + " " + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + 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