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yanan · 2024年10月20日

解析有点不理解

NO.PZ2023101902000030

问题如下:

A portfolio manager wants to invest a small amount of new money that has recently come into a fund. The fund is benchmarked to an index and, rather than adding a new holding, the manager is considering increasing the holdings of one of the four assets described in the following table:

The portfolio manager wants to select the asset that has the lowest marginal VaR as long as its Treynor ratio is at least 0.1. Assuming the risk free rate is 2%, which asset should the portfolio manager select?

选项:

A.Asset A B.Asset B C.Asset C D.Asset D

解释:

The Treynor measure is calculated as (Expected Return – Risk Free Rate)/Beta to Index. Assets B, C, D have Treynor measures greater than 0.1. Of these, C has the lowest marginal VaR as its Beta to the portfolio is the lowest.

Treynor measure is calculated as (Expected Return – Risk Free Rate)/Beta to Index.

为啥不是除以beta to portfolio呢

1 个答案

李坏_品职助教 · 2024年10月20日

嗨,从没放弃的小努力你好:


Treynor measure的分母用的是资产(或资产组合)的系统风险。


资产的系统风险指的是:当大盘指数变动1%时,该资产变动的幅度大小。该资产变动幅度越大,系统风险越大。

所以分母应该用“资产相对于大盘指数的β系数”。


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