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Question #: Lebron James contains the monthly return data for Microsoft (MSFT), IBM (IBM), Apple (AAPL)...

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?

Solutions

Expert Solution

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


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