Each month for the past several years, you have collected the monthly returns to an index of large-cap value stocks and an index of large-cap growth stocks. For the last two years, for both of the indexes you have converted these monthly returns into a series of rolling average annualized returns by taking an average of the previous 12 monthly returns and multiplying that average by 12. These rolling average annualized returns are shown below for each index over the past 24 months. Month value Index Annualized Return (%) growth index annualized returns (%) 1 9.36 % 9.14 % 2 17.14 16.72 3 25.40 28.15 4 17.66 13.46 5 18.19 14.79 6 18.35 15.09 7 18.68 13.20 8 17.21 9.91 9 18.21 11.23 10 21.32 15.61 11 28.84 21.93 12 22.55 18.79 13 25.67 24.21 14 21.84 16.74 15 22.65 19.34 16 24.98 25.11 17 28.11 26.08 18 28.99 28.09 19 18.77 21.52 20 22.10 24.20 21 24.15 22.37 22 18.46 18.92 23 17.20 19.84 24 23.42 23.58 For both the value and growth indexes, calculate the arithmetic mean of the 24 monthly average annualized returns. Which index appears to have outperformed the other over this period? Explain. Do not round intermediate calculations. Round your answers to two decimal places. The Value Index: % The Growth Index: % The value index appears to have outperformed the Growth Index over the 24-month period by __________ %. For each month in this sample period, compute the difference in annualized returns between the value index and the growth index (Rvalue - Rgrowth). Calculate the average of this return differential series and compare it to your answers from part (a). Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be indicated by a minus sign. If your answer is zero, enter 0. Month Rvalue - Rgrowth 1 % 2 % 3 % 4 % 5 % 6 % 7 % 8 % 9 % 10 % 11 % 12 % 13 % 14 % 15 % 16 % 17 % 18 % 19 % 20 % 21 % 22 % 23 % 24 % Average % Compute the percentage of the months in the two-year sample period when the rolling average annualized return to the growth index was actually larger than that for the value index. Do not round intermediate calculations. Round your answers to two decimal places. % What, if anything, does this tell you about the reliability of the value risk premium over time? This means that the value risk premium of _______ % was reliable for over _______ % of the time in the period studied.
Each month for the past several years, you have collected the monthly returns to an index of large-cap value stocks and an index of large-cap growth stocks. For the last two years, for both of the indexes you have converted these monthly returns into a series of rolling average annualized returns by taking an average of the previous 12 monthly returns and multiplying that average by 12. These rolling average annualized returns are shown below for each index over the past 24 months.
Month |
value Index Annualized Return (%) |
growth index annualized returns (%) | ||
| 1 | 9.36 | % | 9.14 | % |
| 2 | 17.14 | 16.72 | ||
| 3 | 25.40 | 28.15 | ||
| 4 | 17.66 | 13.46 | ||
| 5 | 18.19 | 14.79 | ||
| 6 | 18.35 | 15.09 | ||
| 7 | 18.68 | 13.20 | ||
| 8 | 17.21 | 9.91 | ||
| 9 | 18.21 | 11.23 | ||
| 10 | 21.32 | 15.61 | ||
| 11 | 28.84 | 21.93 | ||
| 12 | 22.55 | 18.79 | ||
| 13 | 25.67 | 24.21 | ||
| 14 | 21.84 | 16.74 | ||
| 15 | 22.65 | 19.34 | ||
| 16 | 24.98 | 25.11 | ||
| 17 | 28.11 | 26.08 | ||
| 18 | 28.99 | 28.09 | ||
| 19 | 18.77 | 21.52 | ||
| 20 | 22.10 | 24.20 | ||
| 21 | 24.15 | 22.37 | ||
| 22 | 18.46 | 18.92 | ||
| 23 | 17.20 | 19.84 | ||
| 24 | 23.42 | 23.58 |
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For both the value and growth indexes, calculate the arithmetic mean of the 24 monthly average annualized returns. Which index appears to have outperformed the other over this period? Explain. Do not round intermediate calculations. Round your answers to two decimal places.
The Value Index: %
The Growth Index: %
The value index appears to have outperformed the Growth Index over the 24-month period by __________ %.
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For each month in this sample period, compute the difference in annualized returns between the value index and the growth index (Rvalue - Rgrowth). Calculate the average of this return differential series and compare it to your answers from part (a). Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be indicated by a minus sign. If your answer is zero, enter 0.
Month Rvalue - Rgrowth 1 % 2 % 3 % 4 % 5 % 6 % 7 % 8 % 9 % 10 % 11 % 12 % 13 % 14 % 15 % 16 % 17 % 18 % 19 % 20 % 21 % 22 % 23 % 24 % Average % -
Compute the percentage of the months in the two-year sample period when the rolling average annualized return to the growth index was actually larger than that for the value index. Do not round intermediate calculations. Round your answers to two decimal places.
%
What, if anything, does this tell you about the reliability of the value risk premium over time?
This means that the value risk premium of _______ % was reliable for over _______ % of the time in the period studied.
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