a) Comentar y comparar la volatilidad del error de seguimiento de las tres carteras creadas utilizando el S&P500 como referencia.

b) Si usted fuera el administrador de las tres carteras creadas, qu medida le permite determinar si super al mercado (siendo el mercado representado por S&P)? Comente los resultados de la medida.

S&P500

\begin{tabular}{|l|r|r|r|} \hline Statistic & Ret_Port1 to & Ret_Port2 to & Ret_Port3 to \\ \hline Alpha & 0.0055 & 0.0047 & 0.006 \\ \hline Beta & 0.5887 & 0.6136 & 0.5762 \\ \hline Beta+ & 0.7668 & 0.7666 & 0.767 \\ \hline Beta- & 0.2805 & 0.3555 & 0.243 \\ \hline R-squared & 0.3659 & 0.414 & 0.3269 \\ \hline Annualized Alpha & 0.0685 & 0.0578 & 0.0739 \\ \hline Correlation & 0.6049 & 0.6434 & 0.5718 \\ \hline Correlation p-value & 0 & 0 & 0 \\ \hline Tracking Error & 0.1412 & 0.1329 & 0.1496 \\ \hline Active Premium & 0.0324 & 0.0242 & 0.0358 \\ \hline Information Ratio & 0.2294 & 0.1823 & 0.2393 \\ \hline Treynor Ratio & 0.1944 & 0.1734 & 0.2044 \\ \hline & & & \\ \hline CAPM_PORTS_TABLE & & & \\ \hline \end{tabular} \begin{tabular}{|r|l|l|} \hline 4 & date & Rb \\ \hline 1 & 20170131 & 0.0093186991 \\ \hline 2 & 20170228 & 0.0371981601 \\ \hline 3 & 20170331 & -0.0003891971 \\ \hline 4 & 20170428 & 0.0090912087 \\ \hline 5 & 20170531 & 0.0115762512 \\ \hline 6 & 20170630 & 0.0048137752 \\ \hline 7 & 20170731 & 0.0193488260 \\ \hline 8 & 20170831 & 0.0005464330 \\ \hline 9 & 20170929 & 0.0193029786 \\ \hline 10 & 20171031 & 0.0221881351 \\ \hline 11 & 20171130 & 0.0280826278 \\ \hline 12 & 20171229 & 0.0098316306 \\ \hline 13 & 20180131 & 0.0561787041 \\ \hline 14 & 20180228 & -0.0389473719 \\ \hline 15 & 20180329 & -0.026884998 \\ \hline 16 & 20180430 & 0.0027187750 \\ \hline \end{tabular} \begin{tabular}{|l|l|l|} \hline A & date & Rb \\ \hline 17 & 20180531 & 0.0216083419 \\ \hline 18 & 20180629 & 0.0048424363 \\ \hline 19 & 20180731 & 0.0360215562 \\ \hline 20 & 20180831 & 0.0302632113 \\ \hline 21 & 20180928 & 0.0042942874 \\ \hline 22 & 20181031 & -0.0694033561 \\ \hline 23 & 20181130 & 0.0178593567 \\ \hline 24 & 20181231 & -0.0917768947 \\ \hline 25 & 20190131 & 0.0786844017 \\ \hline 26 & 20190228 & 0.0297288893 \\ \hline 27 & 20190329 & 0.0179242562 \\ \hline 28 & 20190430 & 0.0393134983 \\ \hline 29 & 20190531 & -0.0657777314 \\ \hline 30 & 20190628 & 0.0689301640 \\ \hline 31 & 20190731 & 0.0131281522 \\ \hline 32 & 20190830 & -0.0180916272 \\ \hline \end{tabular} \begin{tabular}{|r|l|l|} \hline A & date & \multicolumn{1}{l|}{ Rb } \\ \hline 33 & 20190930 & 0.0171811779 \\ \hline 34 & 20191031 & 0.0204317705 \\ \hline 35 & 20191129 & 0.0340470377 \\ \hline 36 & 20191231 & 0.0285898189 \\ \hline 37 & 20200131 & -0.0016280928 \\ \hline 38 & 20200228 & -0.0841104836 \\ \hline 39 & 20200331 & -0.1251192824 \\ \hline 40 & 20200430 & 0.1268440382 \\ \hline 41 & 20200529 & 0.0452818197 \\ \hline 42 & 20200630 & 0.0183883965 \\ \hline 43 & 20200731 & 0.0551013215 \\ \hline 44 & 20200831 & 0.0700646669 \\ \hline 45 & 20200930 & -0.0392279702 \\ \hline 46 & 20201030 & -0.0276657862 \\ \hline 47 & 20201130 & 0.1075456354 \\ \hline 48 & 20201231 & 0.0371214591 \\ \hline \end{tabular} \begin{tabular}{|r|l|l|} \hline 49 & 20210129 & -0.0111366608 \\ \hline 50 & 20210226 & 0.0260914514 \\ \hline 51 & 20210331 & 0.0424386325 \\ \hline 52 & 20210430 & 0.0524253213 \\ \hline 53 & 20210528 & 0.0054864887 \\ \hline 54 & 20210630 & 0.0222140096 \\ \hline 55 & 20210730 & 0.0227480548 \\ \hline 56 & 20210831 & 0.0289904163 \\ \hline 57 & 20210930 & -0.0475691688 \\ \hline 58 & 20211029 & 0.0691438364 \\ \hline 59 & 20211130 & -0.0083337062 \\ \hline 60 & 20211231 & 0.0436129135 \\ \hline 61 & 20220131 & -0.0525851650 \\ \hline 62 & 20220228 & -0.0313604919 \\ \hline 63 & 20220331 & 0.0357732884 \\ \hline 64 & 20220429 & -0.0879567118 \\ \hline 65 & 20220531 & 0.0000531777 \\ \hline 66 & 20220629 & -0.0758248930 \\ \hline \end{tabular}