NO.PZ201601050100000101
问题如下:
1. Analyze the movement of the USD against the foreign currency for Portfolio A. Justify your choice.
解释:
Justification
The 19.5% domestic-currency return for Portfolio A is higher than the 15% foreign-currency portfolio return in GBP; therefore, the USD necessarily depreciated relative to the GBP.
The domestic-currency return on a foreign portfolio will reflect both the foreign-currency return on the portfolio and the percentage movements in the spot exchange rate between the domestic and foreign currency. The domestic-currency return is multiplicative with respect to these two factors:
RDC = (1 + RFC)(1 + RFX) – 1
where RDC is the domestic-currency return (in percent), RFC is the foreign-currency return of the asset (portfolio), and RFX is the percentage change of the foreign currency against the domestic currency. (Note that in the RFX expression the domestic currencythe USD in this caseis the price currency.)
Solving for RFX: (1 + 15%)(1 + RFX) – 1 = 19.50%; RFX = 3.91%
Thus, the USD depreciated relative to the GBP. That is, the GBP appreciated against the USD because RFX is quoted in terms of USD/GBP, with the USD as the price currency and GBP as the base currency, and in this example RFX is a positive number (3.91%).
中文解析:
本小题考察的是外汇投资中return的计算公式:RDC = (1 + RFC )(1 + RFX ) – 1
根据题干信息可知,Rdc=19.5%,Rfc=15%,根据公式RDC = (1 + RFC)(1 + RFX) – 1 得到Rfx是大于0的,具体数值是3.91%,其中Rfx的汇率表达形式是本币/外币即USD/GBP,因此Rfx大于0,意味着GBP升值,对应的就是USD贬值。
rA/rB大于1,F/S大于1,所以GBP升值,可以这样回答吗