If the threshold return is higher than the risk -free rate, what will be the relationship between Roy's safety -first ratio (SF) and Sharpe's ratio()
A. The SF ratio will be lower.
B. The SF ratio will be higher.
C. They will be the same.
参考答案:A
解析:
Since each ratio has the standard deviation of returns in the denominator, the difference depends upon the effect on the numerator. Since both the risk -free rate (in the Sharpe ratio) and the threshold rate (in the SF ratio) are subtracted from the expected return, a larger threshold rate would result in a smaller SF ratio value.