Question
Find five years of monthly returns for two mutual funds, Vanguards U.S. Growth Fund and U.S. Value Fund, as well as corresponding returns for the
Find five years of monthly returns for two mutual funds, Vanguards U.S. Growth Fund and U.S. Value Fund, as well as corresponding returns for the S&P 500 and the Treasury-bill rate. (Use Spreadsheet.xls)
a. Calculate each funds excess rate of return over T-bills in each month. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 2 decimal places.)
Total Monthly Returns | Excess Returns | ||||||
Month | Vanguard | Value Fund | S&P | T-bills | Vanguard % | Value Fund % | S&P % |
Jan-04 | 1.52 | 0.07 | 1.35 | 0.07 | |||
Feb-04 | 0.53 | 0.99 | 1.32 | 0.06 | |||
Mar-04 | 2.69 | 2.46 | 1.89 | 0.09 | |||
Apr-04 | 0.22 | 2.52 | 1.70 | 0.08 | |||
May-04 | 2.53 | 1.39 | 1.85 | 0.06 | |||
Jun-04 | 1.93 | 7.46 | 3.22 | 0.08 | |||
Jul-04 | 0.99 | 0.78 | 0.25 | 0.1 | |||
Aug-04 | 1.52 | 2.49 | 1.00 | 0.11 | |||
Sep-04 | 0.21 | 1.46 | 1.29 | 0.11 | |||
Oct-04 | 5.22 | 4.66 | 4.46 | 0.11 | |||
Nov-04 | 3.24 | 3.60 | 3.01 | 0.15 | |||
Dec-04 | 2.36 | 3.48 | 2.24 | 0.16 | |||
Jan-05 | 3.62 | 0.79 | 2.09 | 0.16 | |||
Feb-05 | 2.33 | 2.86 | 1.83 | 0.16 | |||
Mar-05 | 2.68 | 2.41 | 1.87 | 0.21 | |||
Apr-05 | 4.08 | 7.13 | 3.22 | 0.21 | |||
May-05 | 2.25 | 0.51 | 0.15 | 0.24 | |||
Jun-05 | 3.55 | 5.28 | 3.82 | 0.23 | |||
Jul-05 | 1.85 | 0.85 | 0.93 | 0.24 | |||
Aug-05 | 0.38 | 1.34 | 0.80 | 0.3 | |||
Sep-05 | 1.88 | 0.30 | 2.36 | 0.29 | |||
Oct-05 | 2.87 | 5.04 | 4.39 | 0.27 | |||
Nov-05 | 0.93 | 0.46 | 0.19 | 0.31 | |||
Dec-05 | 3.41 | 3.30 | 2.41 | 0.32 | |||
Jan-06 | 0.00 | 1.82 | 0.57 | 0.35 | |||
Feb-06 | 0.71 | 0.34 | 1.65 | 0.34 | |||
Mar-06 | 0.53 | 0.45 | 1.26 | 0.37 | |||
Apr-06 | 3.00 | 5.84 | 3.01 | 0.36 | |||
May-06 | 0.27 | 1.55 | 0.26 | 0.43 | |||
Jun-06 | 1.09 | 2.36 | 0.45 | 0.4 | |||
Jul-06 | 2.70 | 3.60 | 2.18 | 0.4 | |||
Aug-06 | 2.63 | 2.87 | 2.70 | 0.42 | |||
Sep-06 | 2.56 | 1.92 | 3.16 | 0.41 | |||
Oct-06 | 0.75 | 1.94 | 1.99 | 0.41 | |||
Nov-06 | 2.32 | 0.22 | 0.77 | 0.42 | |||
Dec-06 | 1.86 | 2.18 | 1.51 | 0.4 | |||
Jan-07 | 2.30 | 1.69 | 1.96 | 0.44 | |||
Feb-07 | 0.81 | 0.89 | 1.16 | 0.38 | |||
Mar-07 | 3.87 | 2.92 | 4.42 | 0.43 | |||
Apr-07 | 3.65 | 3.37 | 3.39 | 0.44 | |||
May-07 | 2.02 | 1.14 | 1.46 | 0.41 | |||
Jun-07 | 4.74 | 0.79 | 3.13 | 0.4 | |||
Jul-07 | 1.12 | 1.11 | 1.28 | 0.4 | |||
Aug-07 | 2.54 | 4.91 | 3.88 | 0.42 | |||
Sep-07 | 0.39 | 2.19 | 1.35 | 0.32 | |||
Oct-07 | 5.86 | 3.90 | 3.87 | 0.32 | |||
Nov-07 | 0.25 | 0.00 | 1.13 | 0.34 | |||
Dec-07 | 5.39 | 10.34 | 6.04 | 0.27 | |||
Jan-08 | 2.67 | 2.38 | 2.58 | 0.21 | |||
Feb-08 | 0.89 | 0.06 | 0.90 | 0.13 | |||
Mar-08 | 5.64 | 6.32 | 4.77 | 0.17 | |||
Apr-08 | 1.44 | 3.00 | 1.51 | 0.17 | |||
May-08 | 7.18 | 6.25 | 8.35 | 0.17 | |||
Jun-08 | 1.80 | 0.40 | 0.90 | 0.17 | |||
Jul-08 | 1.37 | 0.45 | 1.55 | 0.15 | |||
Aug-08 | 7.50 | 11.63 | 9.42 | 0.12 | |||
Sep-08 | 18.16 | 15.45 | 16.52 | 0.15 | |||
Oct-08 | 7.16 | 7.93 | 6.96 | 0.08 | |||
Nov-08 | 2.70 | 0.57 | 0.99 | 0.02 | |||
Dec-08 | 10.76 | 4.49 | 8.22 | 0.09 | |||
0.34 | 0.34 | 0.30 | 0.25 | ||||
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b. Calculate the standard deviation of each fund over the five-year period. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Standard Deviation | ||
Vanguards U.S. Growth Fund | % | |
U.S. Value Fund | % | |
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c. What was the beta of each fund over the five-year period? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Beta | |
Vanguards U.S. Growth Fund | |
U.S. Value Fund | |
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d. What were the Sharpe, Jensen, and Treynor measures for each fund? (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Round your answers to 2 decimal places.)
Vanguards U.S. Growth Fund | U.S. Value Fund | ||
Sharpe measure | |||
Jensen measure | |||
Treynor measure | |||
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