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袁翀 · 2021年06月30日

此题中的无风险收益率是如何得到的呢

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 S1=RpRFspS_1=\frac{{\overline R}_p-{\overline R}_F}{s_p}  , where Rp{\overline R}_p is the mean return for the portfolio, RF{\overline R}_F 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
1 个答案

星星_品职助教 · 2021年06月30日

同学你好,

题干里假设“ Assuming a risk-free rate of 1.5%”