Question: 1. Using monthly data for the last 5 years calculate the average monthly returns and standard deviations for the two stocks in your portfolio, Three-month
1. Using monthly data for the last 5 years calculate the average monthly returns and standard deviations for the two stocks in your portfolio, Three-month Treasury Bill, and S&P 500.
2. Use the market model to estimate the beta for the two stock you select by using the last 5 years risk premiums. Then, estimate the annual required return for each stock based on CAPM using the estimated betas, the average market risk premium and the average risk-free rate.
3. What is your portfolio beta and expected portfolio return? (You can assign the weight for each stock as you like.)
Stock A
| 2018-07-01 | 45.463856 |
| 2018-08-01 | 54.385090 |
| 2018-09-01 | 54.122692 |
| 2018-10-01 | 52.473156 |
| 2018-11-01 | 42.815765 |
| 2018-12-01 | 37.951195 |
| 2019-01-01 | 40.044350 |
| 2019-02-01 | 41.658722 |
| 2019-03-01 | 45.896694 |
| 2019-04-01 | 48.486916 |
| 2019-05-01 | 42.301319 |
| 2019-06-01 | 48.006603 |
| 2019-07-01 | 51.674057 |
| 2019-08-01 | 50.631073 |
| 2019-09-01 | 54.531597 |
| 2019-10-01 | 60.567390 |
| 2019-11-01 | 65.069283 |
| 2019-12-01 | 71.711739 |
| 2020-01-01 | 75.584900 |
| 2020-02-01 | 66.756752 |
| 2020-03-01 | 62.247086 |
| 2020-04-01 | 71.918648 |
| 2020-05-01 | 77.827843 |
| 2020-06-01 | 89.540314 |
| 2020-07-01 | 104.326248 |
| 2020-08-01 | 126.691673 |
| 2020-09-01 | 113.907471 |
| 2020-10-01 | 107.071640 |
| 2020-11-01 | 117.094238 |
| 2020-12-01 | 130.735321 |
| 2021-01-01 | 130.016068 |
| 2021-02-01 | 119.473709 |
| 2021-03-01 | 120.530418 |
| 2021-04-01 | 129.717010 |
| 2021-05-01 | 122.957794 |
| 2021-06-01 | 135.373611 |
| 2021-07-01 | 144.170532 |
| 2021-08-01 | 150.071396 |
| 2021-09-01 | 140.070587 |
| 2021-10-01 | 148.286728 |
| 2021-11-01 | 163.630157 |
| 2021-12-01 | 176.032745 |
| 2022-01-01 | 173.266891 |
| 2022-02-01 | 163.690506 |
| 2022-03-01 | 173.318909 |
| 2022-04-01 | 156.484299 |
| 2022-05-01 | 147.739441 |
| 2022-06-01 | 135.908463 |
| 2022-07-01 | 161.545380 |
| 2022-08-01 | 156.286774 |
| 2022-09-01 | 137.570496 |
| 2022-10-01 | 152.641541 |
| 2022-11-01 | 147.355713 |
| 2022-12-01 | 129.552719 |
| 2023-01-01 | 143.871017 |
| 2023-02-01 | 146.981964 |
| 2023-03-01 | 164.672226 |
| 2023-04-01 | 169.445618 |
| 2023-05-01 | 177.005173 |
| 2023-06-01 | 184.919998 |
| 2023-06-16 | 184.919998 |
Stock B
| Date | Adj Close |
| 2018-07-01 | 60.862999 |
| 2018-08-01 | 60.909500 |
| 2018-09-01 | 59.673500 |
| 2018-10-01 | 53.838501 |
| 2018-11-01 | 54.721500 |
| 2018-12-01 | 51.780499 |
| 2019-01-01 | 55.818501 |
| 2019-02-01 | 55.995998 |
| 2019-03-01 | 58.665501 |
| 2019-04-01 | 59.424000 |
| 2019-05-01 | 55.181499 |
| 2019-06-01 | 54.045502 |
| 2019-07-01 | 60.834000 |
| 2019-08-01 | 59.404999 |
| 2019-09-01 | 60.950001 |
| 2019-10-01 | 63.005501 |
| 2019-11-01 | 65.248001 |
| 2019-12-01 | 66.850998 |
| 2020-01-01 | 71.711502 |
| 2020-02-01 | 66.966499 |
| 2020-03-01 | 58.140499 |
| 2020-04-01 | 67.432999 |
| 2020-05-01 | 71.445999 |
| 2020-06-01 | 70.680496 |
| 2020-07-01 | 74.148003 |
| 2020-08-01 | 81.709000 |
| 2020-09-01 | 73.480003 |
| 2020-10-01 | 81.050499 |
| 2020-11-01 | 88.037003 |
| 2020-12-01 | 87.594002 |
| 2021-01-01 | 91.787003 |
| 2021-02-01 | 101.843002 |
| 2021-03-01 | 103.431503 |
| 2021-04-01 | 120.505997 |
| 2021-05-01 | 120.578003 |
| 2021-06-01 | 125.316002 |
| 2021-07-01 | 135.220993 |
| 2021-08-01 | 145.462006 |
| 2021-09-01 | 133.265503 |
| 2021-10-01 | 148.270493 |
| 2021-11-01 | 142.451996 |
| 2021-12-01 | 144.679504 |
| 2022-01-01 | 135.698502 |
| 2022-02-01 | 134.891006 |
| 2022-03-01 | 139.649506 |
| 2022-04-01 | 114.966499 |
| 2022-05-01 | 114.039001 |
| 2022-06-01 | 109.372498 |
| 2022-07-01 | 116.639999 |
| 2022-08-01 | 109.150002 |
| 2022-09-01 | 96.150002 |
| 2022-10-01 | 94.660004 |
| 2022-11-01 | 101.449997 |
| 2022-12-01 | 88.730003 |
| 2023-01-01 | 99.870003 |
| 2023-02-01 | 90.300003 |
| 2023-03-01 | 104.000000 |
| 2023-04-01 | 108.220001 |
| 2023-05-01 | 123.370003 |
| 2023-06-01 | 124.059998 |
| 2023-06-16 | 124.059998 |
3-Month Treasury Bill Secondary Market Rate, Discount Basis, Percent, Monthly, Not Seasonally Adjusted
| Date | Adj Close |
| 2018-07-01 | 1.985000 |
| 2018-08-01 | 2.055000 |
| 2018-09-01 | 2.150000 |
| 2018-10-01 | 2.278000 |
| 2018-11-01 | 2.308000 |
| 2018-12-01 | 2.300000 |
| 2019-01-01 | 2.340000 |
| 2019-02-01 | 2.383000 |
| 2019-03-01 | 2.328000 |
| 2019-04-01 | 2.368000 |
| 2019-05-01 | 2.293000 |
| 2019-06-01 | 2.035000 |
| 2019-07-01 | 2.030000 |
| 2019-08-01 | 1.933000 |
| 2019-09-01 | 1.770000 |
| 2019-10-01 | 1.498000 |
| 2019-11-01 | 1.540000 |
| 2019-12-01 | 1.505000 |
| 2020-01-01 | 1.510000 |
| 2020-02-01 | 1.230000 |
| 2020-03-01 | 0.030000 |
| 2020-04-01 | 0.090000 |
| 2020-05-01 | 0.128000 |
| 2020-06-01 | 0.135000 |
| 2020-07-01 | 0.083000 |
| 2020-08-01 | 0.095000 |
| 2020-09-01 | 0.085000 |
| 2020-10-01 | 0.083000 |
| 2020-11-01 | 0.075000 |
| 2020-12-01 | 0.065000 |
| 2021-01-01 | 0.048000 |
| 2021-02-01 | 0.035000 |
| 2021-03-01 | 0.013000 |
| 2021-04-01 | 0.003000 |
| 2021-05-01 | 0.008000 |
| 2021-06-01 | 0.040000 |
| 2021-07-01 | 0.040000 |
| 2021-08-01 | 0.040000 |
| 2021-09-01 | 0.028000 |
| 2021-10-01 | 0.048000 |
| 2021-11-01 | 0.048000 |
| 2021-12-01 | 0.033000 |
| 2022-01-01 | 0.173000 |
| 2022-02-01 | 0.288000 |
| 2022-03-01 | 0.493000 |
| 2022-04-01 | 0.808000 |
| 2022-05-01 | 1.030000 |
| 2022-06-01 | 1.600000 |
| 2022-07-01 | 2.298000 |
| 2022-08-01 | 2.860000 |
| 2022-09-01 | 3.180000 |
| 2022-10-01 | 3.975000 |
| 2022-11-01 | 4.253000 |
| 2022-12-01 | 4.260000 |
| 2023-01-01 | 4.570000 |
| 2023-02-01 | 4.710000 |
| 2023-03-01 | 4.585000 |
| 2023-04-01 | 4.923000 |
| 2023-05-01 | 5.248000 |
| 2023-06-01 | 5.065000 |
Last 5 year stock closing price for SP500
| Frequency: Monthly | |
| observation_date | SP500 |
| 2018-06-01 | 2718.37 |
| 2018-07-01 | 2816.29 |
| 2018-08-01 | 2901.52 |
| 2018-09-01 | 2913.98 |
| 2018-10-01 | 2711.74 |
| 2018-11-01 | 2760.17 |
| 2018-12-01 | 2506.85 |
| 2019-01-01 | 2704.10 |
| 2019-02-01 | 2784.49 |
| 2019-03-01 | 2834.40 |
| 2019-04-01 | 2945.83 |
| 2019-05-01 | 2752.06 |
| 2019-06-01 | 2941.76 |
| 2019-07-01 | 2980.38 |
| 2019-08-01 | 2926.46 |
| 2019-09-01 | 2976.74 |
| 2019-10-01 | 3037.56 |
| 2019-11-01 | 3140.98 |
| 2019-12-01 | 3230.78 |
| 2020-01-01 | 3225.52 |
| 2020-02-01 | 2954.22 |
| 2020-03-01 | 2584.59 |
| 2020-04-01 | 2912.43 |
| 2020-05-01 | 3044.31 |
| 2020-06-01 | 3100.29 |
| 2020-07-01 | 3271.12 |
| 2020-08-01 | 3500.31 |
| 2020-09-01 | 3363.00 |
| 2020-10-01 | 3269.96 |
| 2020-11-01 | 3621.63 |
| 2020-12-01 | 3756.07 |
| 2021-01-01 | 3714.24 |
| 2021-02-01 | 3811.15 |
| 2021-03-01 | 3972.89 |
| 2021-04-01 | 4181.17 |
| 2021-05-01 | 4204.11 |
| 2021-06-01 | 4297.50 |
| 2021-07-01 | 4395.26 |
| 2021-08-01 | 4522.68 |
| 2021-09-01 | 4307.54 |
| 2021-10-01 | 4605.38 |
| 2021-11-01 | 4567.00 |
| 2021-12-01 | 4766.18 |
| 2022-01-01 | 4515.55 |
| 2022-02-01 | 4373.94 |
| 2022-03-01 | 4530.41 |
| 2022-04-01 | 4131.93 |
| 2022-05-01 | 4132.15 |
| 2022-06-01 | 3785.38 |
| 2022-07-01 | 4130.29 |
| 2022-08-01 | 3955.00 |
| 2022-09-01 | 3585.62 |
| 2022-10-01 | 3871.98 |
| 2022-11-01 | 4080.11 |
| 2022-12-01 | 3839.50 |
| 2023-01-01 | 4076.60 |
| 2023-02-01 | 3970.15 |
| 2023-03-01 | 4109.31 |
| 2023-04-01 | 4169.48 |
| 2023-05-01 | 4179.83 |
| 2023-06-01 | #N/A |
Beta is often estimated by linear regression. A model commonly used is called the market model, which is: Rt Rft = i + i [RMt Rft] + t
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