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daiwin18 · 2023年09月27日

还是不太理解为何要加上交叉项

NO.PZ2018113001000083

问题如下:

Bevis is an adviser to WT, a fund management firm. WT's clients are all high-net-worth clients in the U.S. Bevis manages the account for Clare, one of his clients, which had a total return of 4.418% last year. Bevis wants to calculate the return due to the foreign currency contribution.

Exhibit 1 summarizes the investment information for Clare's account last year


Calculate the contribution of foreign currency to the total return.

选项:

解释:

Answer:

the Clare account’s total (US dollar) return of 4.418%.

The weighted asset return is equal to 1.8%, calculated as follows:

(60%×5%)+[ 40%×(-3%)] = 1.8%

The domestic-currency return is equal to the sum of the weighted asset return, the weighted currency return, and the weighted cross-product of the asset return and the currency return. The latter two terms explain the effects of foreign-currency movements.

Therefore, the contribution of foreign currency equals 2.618% = 4.418% - 1.8% .

中文解析:

本题考察的是外汇投资中return的计算。

要求解的“the contribution of foreign currency”是包含了两部分的,一是RFX,二是交叉项RFC ×RFX

因此,在总的return中减掉RFC 后,剩下的return就是由foreign currency贡献的return了。

另外一种计算方法:

the contribution of foreign currency = wiRFX +wiRFCRFX

=0.6*0.02+0.4*0.035+0.6*0.05*0.02+0.4*0.035*(-0.03)=2.618%

(Rdc+1)=(1+Rfc)*(1+Rfx),现在已经知道Rdc和Rfc,直接用这个公式求Rfx=(Rdc+1)/ (1+Rfc) - 1,为何不行?

1 个答案
已采纳答案

pzqa31 · 2023年09月28日

嗨,努力学习的PZer你好:


因为题目问的是 the contribution of foreign currency to the total return,也就是由于外汇(或者你可以理解为汇率变动)带来的贡献,所以要剔除外国资产本身增值的部分,剩下wiRFX +wiRFCRFX,第一部分是本金部分由于汇率变化带来的损益,第二部分是收益部分由于汇率变化带来的损益。

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努力的时光都是限量版,加油!

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