Given the performance of 4 mutual funds and S&P500 over the past 15 years in table below:
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Question:
Given the performance of 4 mutual funds and S&P500 over the past 15 years in table below:
Return and Risk data for 5 equity mutual funds, 15-year period | ||||
Mutual Fund | Average Return % | Standard Deviation % | Beta | R2 |
1 | 20.86 | 19.85 | 1.56 | .54 |
2 | 12.09 | 10.27 | 0.95 | .42 |
3 | 18.39 | 12.82 | 1.50 | .39 |
S&P 500 | 16.35 | 14.44 | 1.0 | 1.0 |
And assuming that current and average of past 15 years risk free rate is 6.96%, and using a market risk premium of 9.39% (16.35 -6.96) for the 15-year period, estimate:
- 1) Sharpe ratios of all 3 funds and S&P 500. Which fund has the highest risk adjusted performance according to Sharpe measure? Which of the above funds have beaten the market according to Sharpe measure?
- 2) Treynor of all 3 funds and S&P 500. Which fund has the highest risk adjusted performance according to Treynor measure? Which of the above funds have beaten the market according to Treynor measures?
- 3) Jensen's alpha for fund
- 4) Which fund is exposed to most nonsystematic or unique risk?
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