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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

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. 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. 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. 3) Jensen's alpha for fund 
  4. 4) Which fund is exposed to most nonsystematic or unique risk?

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