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Fair · 2022年02月19日

不懂第二个答案16.7年是怎么计算得到

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.

不懂第二个答案16.7年是怎么计算得到

2 个答案

品职答疑小助手雍 · 2022年02月20日

同学你好,讲义174页,化简完就是: 1.96= IR*根号N N就是要持续的年份。

品职答疑小助手雍 · 2022年02月19日

同学你好,前面算出来IR=0.48, T=(1.96/IR)^2=16.7

Fair · 2022年02月20日

这个公式是?没有印象,能再讲讲这个公式?

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