Question
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? |
Step by Step Solution
3.42 Rating (155 Votes )
There are 3 Steps involved in it
Step: 1
SOLUTION To answer your question I will need more information about the specific performance measures you are referring to However I can provide some ...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started