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Shawnxz · 2022年12月16日

问题如下

NO.PZ2018111501000007

问题如下:

If the correlation between foreign-currency asset returns and movements in the exchange rate is increasing, the expected domestic-currency returns will:

选项:

A.

increase

B.

decrease

C.

unchange.

解释:

C is correct.

考点:Currency Risk & Portfolio Return and Risk

解析:correlation的增加会影响domestic-currency risk,而不会影响returns。写出公式就能理解了:

RDC=(1+RFC)(1+RFX)1R_{DC}=(1+R_{FC})(1+R_{FX})-1

σ2(RDC)σ2(RFC)+σ2(RFX)+2σ(RFC)σ(RFX)ρ(RFC,RFX)\sigma^2(R_{DC})\approx\sigma^2(R_{FC})+\sigma^2(R_{FX})+2\sigma(R_{FC})\sigma(R_{FX})\rho(R_{FC},R_{FX})

根据公式,Rfc和Rfx都在上升,那Rdc不是也在上升吗?

Rdc=(1+Rfc)*(1+Rfx)-1,前两项都变大,则Rdc不应该也变大吗?

1 个答案
已采纳答案

Hertz_品职助教 · 2022年12月16日

嗨,爱思考的PZer你好:


同学你好

不是的哈。

题干说的是Rfc和Rfx的相关性增加,并不是说Rfc或者说Rfx增加。只有在相关性增加,且Rfc或者Rfx中也有一项增加的时候,那么根据return的计算公式,才可以看到Rdc是增加的。

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