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BBY GD STT Russell 1000 1-Year T-Bill Date Price Shrout Dividend Price Shrout Dividend Price Shrout Dividend Total Return Index Annual YTM (%) 12/31/15 30.45

BBY GD STT Russell 1000 1-Year T-Bill
Date Price Shrout Dividend Price Shrout Dividend Price Shrout Dividend Total Return Index Annual YTM (%)
12/31/15 30.45 342720 137.36 316128 66.36 403486 5796.184
01/31/16 27.93 342720 133.77 312987 0.69 55.73 403486 5521.710 0.64
02/29/16 32.39 323828 136.27 311162 54.78 400017 6170.515 0.54
03/31/16 32.44 323348 0.28 131.37 311162 58.52 400017 0.34 6233.915 0.57
04/30/16 32.08 323348 140.52 305647 0.76 62.30 400025 6337.749 0.54
05/31/16 32.17 324078 141.87 305647 63.06 395940 6354.602 0.50
06/30/16 30.60 322753 0.28 139.24 305647 53.92 395940 0.34 6559.555 0.55
07/31/16 33.60 322753 146.89 305279 0.76 65.78 395940 6603.076 0.58
08/31/16 38.48 322753 152.22 305279 70.24 390015 6585.035 0.64
09/30/16 38.18 317274 0.28 155.16 305279 69.63 390015 0.38 6479.233 0.71
10/31/16 38.91 317274 150.74 304520 0.76 70.21 390015 6740.992 0.84
11/30/16 45.70 317274 175.35 304520 78.80 385735 6829.891 0.80
12/31/16 42.67 313826 0.28 172.66 304520 77.72 385735 0.38 6999.172 0.79
01/31/17 44.52 313826 181.08 302419 0.76 76.20 385735 7266.206 0.98
02/28/17 44.13 313826 189.81 302742 79.71 381940 7241.378 1.01
03/31/17 49.15 309111 0.34 187.20 303371 79.61 381940 0.38 7347.937 1.09
04/30/17 51.81 309111 193.79 301685 0.84 83.90 381658 7442.134 1.17
05/31/17 59.39 307410 203.25 301685 81.46 376236 7495.327 1.19
06/30/17 57.33 304962 0.34 198.10 301685 89.73 376236 0.38 7602.824 1.20
07/31/17 58.34 304962 196.33 299462 0.84 93.23 373955 7662.762 1.25
08/31/17 54.26 304962 201.35 299462 92.49 373955 7786.902 1.36
09/30/17 56.96 299185 0.34 205.58 299462 95.54 373955 0.42 8001.294 1.51
10/31/17 55.98 299185 202.98 298583 0.84 92.00 373955 8242.829 1.65
11/30/17 59.61 299185 207.16 298583 95.35 370837 8308.802 1.75
12/31/17 68.47 292326 0.34 203.45 298583 97.61 370837 0.42 8796.139 1.90
01/31/18 73.06 292326 222.48 296896 0.84 110.17 375477 8470.462 2.00
02/28/18 72.44 292326 222.45 296934 106.15 367653 8246.415 2.08
03/31/18 69.99 292326 0.45 220.90 298078 99.73 367875 0.42 8302.312 2.20
04/30/18 76.53 282714 201.31 297033 0.93 99.78 367875 8516.016 2.25
05/31/18 68.25 281904 201.71 297033 96.11 365408 8569.582 2.31
06/30/18 74.58 279392 0.45 186.41 297033 93.09 365408 0.42 8825.577 2.36
07/31/18 75.03 279392 199.76 296281 0.93 88.31 379415 9165.888 2.47
08/31/18 79.56 279392 193.40 296281 86.91 379415 9159.093 2.56
09/30/18 79.36 274558 0.45 204.72 296281 83.78 379415 0.47 8548.360 2.60
10/31/18 70.16 274558 172.58 296150 0.93 68.75 379536 8712.796 2.57
11/30/18 64.59 274558 184.89 296150 73.02 379536 7891.189 2.50
12/31/18 52.96 269102 0.45 157.21 296150 63.07 379536 0.47 8587.516 2.47
01/31/19 59.24 269102 171.17 288698 0.93 70.90 379536 8879.908 2.41
02/28/19 68.84 269102 170.22 288236 71.87 378660 9001.214 2.34
03/31/19 71.06 267804 0.5 169.28 288770 65.81 378660 0.47 9392.710 2.27
04/30/19 74.41 267804 178.72 288872 1.02 67.66 378660 8798.126 1.94
05/31/19 62.67 267916 160.82 288872 55.25 373164 9351.922 1.91
06/30/19 69.73 267043 0.5 181.82 288872 56.06 373164 0.47 9556.694 1.73
07/31/19 76.53 267043 185.94 288844 1.02 58.09 372580 9378.210 1.75
08/31/19 63.65 267043 191.27 288844 51.31 372580 9504.129 1.57
09/30/19 68.99 263573 0.5 182.73 288844 59.19 372580 0.52 9745.743 1.53
10/31/19 71.83 263573 176.80 289306 1.02 66.07 363623 10117.031 1.51
11/30/19 80.64 263573 181.74 289306 75.10 363623 10350.827 1.49
12/31/19 87.80 258777 0.5 176.35 289306 79.10 363623 0.52 10413.117 1.37
01/31/20 75.65 256494 159.56 286865 1.02 68.11 351944 9573.143 0.32
02/29/20 57.00 256494 132.31 286865 53.27 351944 8249.935 0.18
03/31/20 76.73 256494 0.55 130.62 286865 63.04 351944 0.52 9390.700 0.16
04/30/20 78.09 257000 146.83 286932 1.10 60.96 352383 9874.859 0.18
05/31/20 87.27 257000 149.46 286932 63.55 352383 10063.013 0.15
06/30/20 99.59 257000 0.55 146.74 286932 63.79 352383 0.52 10698.339 0.13
07/31/20 110.91 258000 149.35 286972 1.10 68.09 352798 11479.522 0.13
08/31/20 111.29 258000 138.43 286972 59.33 352798 11008.929 0.13
09/30/20 111.55 258000 0.55 131.11 286972 58.90 352798 0.52 10800.588 0.12
10/31/20 108.80 258431 149.35 287163 1.10 70.48 353156 12063.462 0.10
11/30/20 99.79 258431 148.82 287163 72.78 353156 12512.969 0.10
12/31/20 114.93 258431 0.55 152.77 287163 74.17 353156 0.52 12903.580 0.07

1) You have $1,000,000 to invest and create a portfolio invested 65% in BBY, 15% in GD, and 20% in STT. Assume that dividend income is received at the end of the month based on the shares held during the month and is reinvested at the portfolio level according to your initial target weights of {65%, 15%, 20%}. Suppose you implement your portfolio weights at the close of December 31, 2015, and then do not rebalance. For each month in the sample period calculate the number of shares of each stock held, the value of each stock position, the overall portfolio value, and the weight of each stock in your portfolio after dividend reinvestment.

2) ) Based on the shares held, share prices, and dividend income, compute the monthly total return earned on your portfolio.

3) Using the 1-year T-Bill as the risk-free rate, what was the Sharpe ratio of your portfolio over the sample period? Note that the T-Bill YTM is quoted on an annual basis, so it must be reduced to a monthly equivalent yield to be comparable to the monthly return on your portfolio

4) Create an equal-weighted index from your three stocks and set the index level on December 31, 2015, equal to 100. Rebalance back to equal weights at the end of each month, showing the trades necessary to accomplish this rebalancing. Calculate the price return index level (numerator and divisor each month), the price return, the total return, and total return index level for each month in the sample period. Hint: Assume a notional value for the size of the portfolio underlying the index, for instance $1,000,000

5) Create a price-weighted index from your three stocks and set the index level on December 31, 2015, equal to 100. For each month in the sample, calculate the price return index level (numerator and divisor each month), the price return, the total return, and the total return index level. Two hints: You can drop the assumption of a $1,000,000 portfolio; If you do not find this problem significantly easier than #4 then your approach is probably off.

6) Create a value-weighted index from your three stocks and set the index level on December 31, 2015, equal to 100. For each month in the sample calculate the price return index level (numerator and divisor each month), the price return, the total return, and the total return index level. Hint: Market cap changes for two reasons and changes in the index levels should only capture one of them.

7) This problem is focused on adjusting a price-weighted index for a stock split. Assume that General Dynamics conducts a 3:1 split and you must make the adjustment to the index. Assume the split occurs in the overnight period between 6/30/2018 and 7/1/2018, and divide GD's stock price and dividend beginning with the July 31, 2018 observation. For the priceweighted index, recompute the price return index level (numerator and divisor each month), price return, total return, and total return index level for the entire sample period 2016- 2020. Calculate the weights for the three stocks at the end of each month for the entire sample 2016-2020 and then plot these weights.

8) This problem is focused on adjusting a value-weighted index for the deletion of a constituent. Assume that State Street is deleted from the index after the close of the market on June 30, 2018. For the value-weighted index, recompute the price return index level (numerator and divisor each month), the price return, the total return, and the total return index level for the entire sample period 2016 - 2020. This question is separate from #7, so do not assume that General Dynamics splits (do not use the adjusted price and dividend series you created in the previous question)

9) For each month t in the sample, calculate the cumulative total return to your portfolio, the cumulative total return on the equal-weighted index, the cumulative total return on the priceweighted index, and the cumulative total return on the value-weighted index (before changes in questions 7 and 8). These cumulative returns are what an investor would earn if buying your portfolio or one of the indexes at the beginning of the sample period and holding through the end of month t. Plot these four time series together for the sample period 2016 - 2020. Put in another, equivalent way: This graph should show how $1 invested in each of these four assets would grow over this five year sample period.

12) Estimate the alpha and beta of your portfolio relative to Russell 1000.

13mine the various performance measures that you have calculated for the portfolio described in #1. Which, if any, of these measures paint a favorable picture of the portfolio's performance and would be impressive to a client investor? Which, if any, of these measures indicates that the portfolio did not perform well?

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