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12345678wdv · 2024年10月22日

a standard deviation of portfolio 与 tracking error 区别

NO.PZ2023101902000046

问题如下:

A fund manager recently received a report on the performance of his portfolio over the last year. According to the report, the portfolio return is 9.3%, with a standard deviation of 13.5%, and beta of 0.83. The risk-free rate is 3.2%, the semi-standard deviation of portfolio is 8.4%, and the tracking error of the portfolio to the benchmark index is 2.8%. What is the difference between the value of the fund’s sortino ratio (computed relative to the risk-free rate) and its Sharpe ratio?

选项:

A.1.727 B.0.274 C.-0.378 D.0.653

解释:

Sharp ratio = (9.3% - 3.2%)/13.5% = 0.4519, Sortino ratio = (9.3% - 3.2%)/8.4% = 0.7262, so Sortino ratio - sharp ratio = 0.274

如题

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已采纳答案

李坏_品职助教 · 2024年10月23日

嗨,爱思考的PZer你好:


standard deviation of portfolio 指的是投资组合收益率的标准差。


tracking error是跟踪误差:

这个指的是超额收益率的标准差。超额收益率 = 投资组合的收益率 - benchmark的收益率。

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