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徐威廉 · 2024年10月27日

TEV是什么?IR怎么求的?

NO.PZ2023101902000061

问题如下:

Over the past year, the HIR Fund had a return of 7.8%, while its benchmark, the S&P 500 index, had a return of 7.2%. Over this period, the fund's volatility was 11.3%, while the S&P index's volatility was 10.7% and the fund's TEV was 1.25%. Assume a risk-free rate of 3%. What is the information ratio for the HIR Fund and for how many years must this performance persist to be statistically significant at a 95% confidence level?

选项:

A.0.480 and approximately 16.7 years B.0.425 and approximately 21.3 years C.3.840 and approximately 0.2 years D.1.200 and approximately 1.9 years

解释:

TEV是什么?IR怎么求的?

1 个答案
已采纳答案

李坏_品职助教 · 2024年10月27日

嗨,爱思考的PZer你好:


TEV = tracking error volatility 也就是超额收益(alpha)的标准差,有的题目会直接写成tracking error,这和TEV是一个意思。


IR是information ratio,计算如下:


为了保证这个alpha超额收益是显著的,至少要维持n年这个业绩。

t statistic = alpha / (TEV / 根号n) = 1.96 (95%的Z值是1.96)。

从而得出n是16.7。

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