In: Finance
Question #:
Lebron James contains the monthly return data for Microsoft (MSFT), IBM (IBM), Apple (AAPL) and Hewlett-Packard (HPQ) for the period 2007/1- 2016/12.
Month | MSFT | IBM | AAPL | HPQ |
20070131 | 0.033490 | 0.020587 | 0.010490 | 0.050740 |
20070228 | -0.083927 | -0.059607 | -0.013064 | -0.090804 |
20070330 | -0.010650 | 0.014203 | 0.098097 | 0.022109 |
20070430 | 0.074273 | 0.084341 | 0.074158 | 0.049826 |
20070531 | 0.028393 | 0.046864 | 0.214339 | 0.084718 |
20070629 | -0.039756 | -0.012664 | 0.007005 | -0.022096 |
20070731 | -0.016288 | 0.051306 | 0.079646 | 0.031600 |
20070831 | -0.005519 | 0.058202 | 0.051002 | 0.072127 |
20070928 | 0.025409 | 0.009512 | 0.108247 | 0.010537 |
20071031 | 0.249491 | -0.014261 | 0.237701 | 0.037959 |
20071130 | -0.084216 | -0.090768 | -0.040695 | -0.010062 |
20071231 | 0.059524 | 0.027762 | 0.087038 | -0.011728 |
20080131 | -0.084270 | -0.009158 | -0.316640 | -0.133914 |
20080229 | -0.162273 | 0.066754 | -0.076389 | 0.092635 |
20080331 | 0.043386 | 0.011242 | 0.147816 | -0.042495 |
20080430 | 0.004933 | 0.048289 | 0.212195 | 0.015112 |
20080530 | -0.003156 | 0.076471 | 0.085082 | 0.015318 |
20080630 | -0.028602 | -0.084215 | -0.112901 | -0.058861 |
20080731 | -0.065067 | 0.079727 | -0.050705 | 0.013345 |
20080829 | 0.065319 | -0.044929 | 0.066562 | 0.047321 |
20080930 | -0.021986 | -0.039185 | -0.329558 | -0.012788 |
20081031 | -0.163357 | -0.205113 | -0.053405 | -0.172145 |
20081128 | -0.088670 | -0.116919 | -0.138675 | -0.078370 |
20081231 | -0.038576 | 0.031373 | -0.078990 | 0.030896 |
20090130 | -0.120370 | 0.088997 | 0.056005 | -0.042436 |
20090227 | -0.047953 | 0.009602 | -0.009098 | -0.164604 |
20090331 | 0.137461 | 0.052809 | 0.177024 | 0.107131 |
20090430 | 0.102885 | 0.065229 | 0.197013 | 0.122271 |
20090529 | 0.037512 | 0.035074 | 0.079313 | -0.045303 |
20090630 | 0.137865 | -0.017501 | 0.048745 | 0.127511 |
20090731 | -0.010517 | 0.129381 | 0.147160 | 0.120310 |
20090831 | 0.053571 | 0.005681 | 0.029500 | 0.036721 |
20090930 | 0.043408 | 0.013215 | 0.101896 | 0.053464 |
20091030 | 0.078149 | 0.008361 | 0.016995 | 0.005295 |
20091130 | 0.065272 | 0.052152 | 0.060531 | 0.033713 |
20091231 | 0.036382 | 0.036011 | 0.054134 | 0.051569 |
20100129 | -0.075459 | -0.065011 | -0.088591 | -0.086197 |
20100226 | 0.022001 | 0.043468 | 0.065380 | 0.079031 |
20100331 | 0.021538 | 0.008572 | 0.148470 | 0.048041 |
20100430 | 0.042595 | 0.005848 | 0.111021 | -0.022201 |
20100528 | -0.150811 | -0.023953 | -0.016125 | -0.114682 |
20100630 | -0.108140 | -0.014210 | -0.020827 | -0.057596 |
20100730 | 0.121686 | 0.039844 | 0.022741 | 0.063771 |
20100831 | -0.085819 | -0.035981 | -0.055005 | -0.164857 |
20100930 | 0.043682 | 0.089418 | 0.167215 | 0.096229 |
20101029 | 0.088812 | 0.070523 | 0.060723 | -0.000713 |
20101130 | -0.046784 | -0.010376 | 0.033790 | -0.002617 |
20101231 | 0.105018 | 0.037466 | 0.036670 | 0.005962 |
20110131 | -0.006628 | 0.103843 | 0.051959 | 0.085273 |
20110228 | -0.035528 | 0.003272 | 0.040935 | -0.045086 |
20110331 | -0.044771 | 0.007351 | -0.013314 | -0.059134 |
20110429 | 0.020874 | 0.046054 | 0.004656 | -0.014645 |
20110531 | -0.028935 | -0.005276 | -0.006569 | -0.074065 |
20110630 | 0.039584 | 0.015509 | -0.034960 | -0.023007 |
20110729 | 0.053846 | 0.060041 | 0.163285 | -0.033791 |
20110831 | -0.023358 | -0.050536 | -0.014469 | -0.259881 |
20110930 | -0.064286 | 0.017218 | -0.009121 | -0.132924 |
20111031 | 0.069908 | 0.055813 | 0.061523 | 0.185301 |
20111130 | -0.031919 | 0.022315 | -0.055783 | 0.050357 |
20111230 | 0.014855 | -0.021915 | 0.059655 | -0.074061 |
20120131 | 0.137519 | 0.047422 | 0.127111 | 0.086180 |
20120229 | 0.081612 | 0.025337 | 0.188311 | -0.095425 |
20120330 | 0.016226 | 0.060591 | 0.105284 | -0.053734 |
20120430 | -0.007441 | -0.007525 | -0.025969 | 0.039026 |
20120531 | -0.081993 | -0.064371 | -0.010702 | -0.084006 |
20120629 | 0.047962 | 0.013893 | 0.010853 | -0.107496 |
20120731 | -0.036613 | 0.002045 | 0.045822 | -0.092989 |
20120831 | 0.052596 | -0.001429 | 0.093539 | -0.074561 |
20120928 | -0.034393 | 0.064665 | 0.002803 | 0.018483 |
20121031 | -0.040995 | -0.062280 | -0.107607 | -0.188159 |
20121130 | -0.059390 | -0.018558 | -0.012413 | -0.062094 |
20121231 | 0.003558 | 0.007787 | -0.090738 | 0.107159 |
20130131 | 0.027717 | 0.060141 | -0.144094 | 0.158597 |
20130228 | 0.021129 | -0.006845 | -0.025116 | 0.219867 |
20130328 | 0.028957 | 0.062092 | 0.002855 | 0.190268 |
20130430 | 0.157140 | -0.050445 | 0.000271 | -0.135906 |
20130531 | 0.061329 | 0.031747 | 0.022596 | 0.185437 |
20130628 | -0.010172 | -0.081290 | -0.118303 | 0.021507 |
20130731 | -0.078304 | 0.020564 | 0.141225 | 0.035484 |
20130830 | 0.056219 | -0.060603 | 0.083389 | -0.130062 |
20130930 | -0.003593 | 0.015965 | -0.021481 | -0.053930 |
20131031 | 0.063852 | -0.032239 | 0.096386 | 0.161029 |
20131129 | 0.084875 | 0.007924 | 0.069673 | 0.122281 |
20131231 | -0.018883 | 0.043911 | 0.008902 | 0.028344 |
20140131 | 0.011494 | -0.058058 | -0.107697 | 0.036455 |
20140228 | 0.019820 | 0.053430 | 0.057311 | 0.030345 |
20140331 | 0.069956 | 0.039531 | 0.019953 | 0.087858 |
20140430 | -0.014394 | 0.020676 | 0.099396 | 0.021632 |
20140530 | 0.020297 | -0.056039 | 0.078293 | 0.013309 |
20140630 | 0.018564 | -0.016761 | 0.027662 | 0.010149 |
20140731 | 0.035012 | 0.057373 | 0.028731 | 0.057304 |
20140829 | 0.059082 | 0.009026 | 0.077092 | 0.067116 |
20140930 | 0.020471 | -0.012845 | -0.017073 | -0.062368 |
20141031 | 0.012726 | -0.133962 | 0.071960 | 0.011559 |
20141128 | 0.024920 | -0.006873 | 0.105556 | 0.088629 |
20141231 | -0.028446 | -0.010668 | -0.071891 | 0.031490 |
20150130 | -0.130248 | -0.044440 | 0.061424 | -0.099676 |
20150227 | 0.093069 | 0.063466 | 0.100461 | -0.035704 |
20150331 | -0.072862 | -0.008892 | -0.031372 | -0.101033 |
20150430 | 0.196409 | 0.067227 | 0.005786 | 0.058087 |
20150529 | -0.030222 | -0.001985 | 0.045146 | 0.013042 |
20150630 | -0.057832 | -0.041202 | -0.037266 | -0.096228 |
20150731 | 0.057758 | -0.004119 | -0.032888 | 0.016994 |
20150831 | -0.061456 | -0.079017 | -0.066117 | -0.080603 |
20150930 | 0.017004 | -0.019744 | -0.021816 | -0.081041 |
20151030 | 0.189336 | -0.033731 | 0.083409 | 0.052714 |
20151130 | 0.039324 | 0.004569 | -0.005690 | -0.047536 |
20151231 | 0.020791 | -0.012911 | -0.110228 | -0.045933 |
20160129 | -0.007030 | -0.093228 | -0.075242 | -0.179899 |
20160229 | -0.069886 | 0.060421 | -0.001335 | 0.100927 |
20160331 | 0.085495 | 0.155842 | 0.127211 | 0.164079 |
20160429 | -0.097049 | -0.036382 | -0.139921 | -0.004058 |
20160531 | 0.069982 | 0.063040 | 0.071368 | 0.090465 |
20160630 | -0.034528 | -0.012749 | -0.042660 | -0.052765 |
20160729 | 0.107680 | 0.058242 | 0.090063 | 0.116335 |
20160831 | 0.020113 | -0.002117 | 0.023606 | 0.025696 |
20160930 | 0.002436 | -0.000189 | 0.065504 | 0.089353 |
20161031 | 0.040278 | -0.032483 | 0.004334 | -0.066967 |
20161130 | 0.012183 | 0.064611 | -0.021578 | 0.062802 |
20161230 | 0.031198 | 0.023240 | 0.047955 | -0.027747 |
Provide detailed solution on Excel for the following:
(a) Report the average return and sample covariance matrix of the four stocks based on the monthly data.
(b) If you put equal weights on each stock when forming a portfolio. What is the expected return and variance of the portfolio?
Solution:
Part A ) The average return is 1.07%, 0.77%, 2.41% and 0.30% for Microsoft (MSFT), IBM (IBM), Apple (AAPL) and Hewlett-Packard (HPQ) respectively
The covariance matrix is given in excel sheet Part A
Part B ) Expected return = ?weight * return = 1.14%
Variance of the portfolio = 0.00154