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A pension fund administrator wants to evaluate the performance of four portfolio managers. Each manager invests only in US common stocks. During the most recent

A pension fund administrator wants to evaluate the performance of four portfolio managers. Each manager invests only in US common stocks. During the most recent five-year period, the average annual total return on the S&P 500 was 14% and the average annual rate on Treasury bills was 8%. The table below shows risk and return measures for each portfolio.

Portfolio

Average Return

Standard Deviation

Beta

P

17%

20%

1.1

Q

24%

18%

2.1

R

11%

10%

0.5

S

16%

14%

1.5

S&P 500

14%

12%

1.0

Question: Which portfolio has the highest Jensen alpha? Assuming uncorrelated returns, what is the Sharpe ratio for a master portfolio with equal allocations to portfolio Q and S?

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