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shelly0205 · 2020年10月08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})

不好意思有点没有看懂,请问如何看出不影响收益的呢,谢谢老师啦

1 个答案

xiaowan_品职助教 · 2020年10月10日

嗨,爱思考的PZer你好:


同学你好,

我截图了return和risk的公式,只有risk的公式中涉及到correlation,同学可以参考:


-------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!


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