Question
The administrator of a large pension fund wants to evaluate the performance of four portfolio managers. Each portfolio manager invests only in U.S. common stocks.
The administrator of a large pension fund wants to evaluate the performance of four portfolio managers. Each portfolio manager invests only in U.S. common stocks. Assume during the most recent 5-year period, the average annual total rate of return including dividends on the S&P 500 was 14%, and the average nominal rate of return on government Treasury bills was 8%. The following table shows risk and return measures for each portfolio.
Portfolio | Average Annual Rate of Return | Standard Deviation | Beta |
P | 0.17 | 0.20 | 1.1 |
Q | 0.24 | 0.18 | 2.1 |
R | 0.11 | 0.10 | 0.5 |
S | 0.16 | 0.14 | 1.5 |
S&P 500 | 0.14 | 0.12 | 1.0 |
Compute the Treynor measure for Portfolio P and compute the Sharpe measure for Portfolio Q.
Can these two measures provide similar ranking? Why?
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