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陈Shelly · 2020年10月13日

问一道题: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})

老师,我觉得这道题提问地不是很正确,如果是没影响那么也就是无法判断domestic currency return 怎么变,也得不出来unchange这个结论,对其没有影响和它不变应该是完全不相关的两个意思啊

1 个答案

xiaowan_品职助教 · 2020年10月13日

嗨,爱思考的PZer你好:


同学你好,

这道题的意图就是考察公式,要看对Rdc的影响,此时相关性上升,但是Rfc和Rfx并没有发生变化,最终结论Rdc也没有变,不过我理解你的想法,这个题目表述方法确实不是很好。


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