diff --git a/lib/hls_playlist.ex b/lib/hls_playlist.ex
index 794af83..ebcff34 100644
--- a/lib/hls_playlist.ex
+++ b/lib/hls_playlist.ex
@@ -71,7 +71,7 @@ defmodule HlsPlaylist do
     #EXTM3U
     #EXT-X-VERSION:3
     #EXT-X-ALLOW-CACHE:NO
-    #EXT-X-TARGETDURATION:#{Kernel.trunc(Float.floor(largest_segment))}
+    #EXT-X-TARGETDURATION:#{Kernel.trunc(Float.ceil(largest_segment))}
     #EXT-X-MEDIA-SEQUENCE:0
     #EXT-X-PLAYLIST-TYPE:VOD
     #{Enum.join(Enum.reverse(segments), "\n")}
diff --git a/test/hls_playlist_test.exs b/test/hls_playlist_test.exs
index 1be31ce..7da716c 100644
--- a/test/hls_playlist_test.exs
+++ b/test/hls_playlist_test.exs
@@ -41,7 +41,7 @@ defmodule HlsPlaylistTest do
       #EXTM3U
       #EXT-X-VERSION:3
       #EXT-X-ALLOW-CACHE:NO
-      #EXT-X-TARGETDURATION:4
+      #EXT-X-TARGETDURATION:5
       #EXT-X-MEDIA-SEQUENCE:0
       #EXT-X-PLAYLIST-TYPE:VOD
       #EXTINF:4.166667,