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每天都想出坑的铁头娃 · 2021年03月30日

问一道题:NO.PZ2018111501000007 [ CFA III ] 

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})

与其说是unchange,我觉得说unclear更好一点。
1 个答案

Hertz_品职助教 · 2021年03月30日

嗨,努力学习的PZer你好:


同学你好~

本题考查的知识点是return的计算公式(如下图)

题目问的是ρ变大的时候对expected domestic-currency returns的影响,根据return的计算公式(如下图),可知Rdc是不受ρ的影响的哈,所以说是unchange. (根据公式也可知ρ是影响risk的大小的)

同学为何会理解为影响是unclear,可以稍微说一下,咱们再做探讨哈~

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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