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LHY · 2020年10月07日

问一道题:NO.PZ2016071602000001

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:

A is correct. The information ratio is (7.8 — 7.2)/1.25 = 0.48. Statistical significance is achieved when the t-statistic is above the usual value of 1.96. By Equation (29.5), the minimum number of years T for statistical significance is (1.96/IR)2 = 16.7. Note, however, that there is no need to perform the second computation because there is only one correct answer for the IR question.

根据Info ratio的定义和example,其分子应该是 用Jensen's alpha啊(pdf p131)。为啥直接就用7.8%-7.2%?

另外track error 的简称就TEV,V代表value?

1 个答案
已采纳答案

小刘_品职助教 · 2020年10月08日

同学你好,

1)info ratio的正统定义的分子是alpha,而不是Jensen's alpha,讲义上那道例题是因为题目没有少了一个条件,所以误用了Jensen's alpha,这两个知识点老师上课都有讲到,在1.5倍速5分钟左右

2)TEV 是tracking error volatility

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