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【求助】关于Sharp Ratio的一个缺点

在第三版 Managing Investment Portfolios上的第八章介绍Hedge fund 的performance measurement的时候,提到Sharp Ratio的一个缺点是:

“The Sharpe ratio is time dependent; that is, the overall Sharpe ratio increases proportionally with the square root of time. An annual Sharpe ratio will therefore be square root of 12 bigger than a monthly Sharpe ratio if returns are serially uncorrelated.”

请问如何理解这句话,后面的 square root of 12 是怎么得来的?

年收益率的标准差等于月收益率的标准差乘以根号12,所以sharp ratio也要这样处理

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