NO.PZ2017092702000055
问题如下:
The following table shows various statistics for Portfolios 1, 2, and 3.
An investment adviser bases his allocation on the Sharpe ratio. Assuming a risk-free rate of 1.5%, which portfolio is he most likely to recommend?
选项:
A. Portfolio 1
B. Portfolio 2
C. Portfolio 3
解释:
B is correct.
The Sharpe ratio measures a portfolio’s return per unit of risk and is defined as , where is the mean return for the portfolio, is the mean return to a risk-free asset, and sp is the standard deviation of return on the portfolio. The Sharpe ratios for the three portfolios are as follows: Portfolio 1 = (7.8 – 1.5)/15.1 = 6.3/15.1 = 0.417 Portfolio 2 = (10.2 – 1.5)/20.5 = 8.7/20.5 = 0.424 Portfolio 3 = (12.9 – 1.5)/29.3 = 11.4/29.3 = 0.389 So Portfolio 2 has the highest return per unit of risk.
此题中的无风险收益率是如何得到的呢