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Flying马 · 2025年05月16日

看完基础班视频

NO.PZ2018091706000046

问题如下:

Analyst Bob is studying foreign exchange market. He observes that:

1. The spot exchange market rate is 1.55USD/GBP

2. The 180-Day Libor for dollars is 0.58%, while the 180-Day Libor for pounds is 0.62%

So, Bob calculate the 180-day forward points for the USD/GBP. Which of the following option is correct?

选项:

A.

0.

B.

-0.0003.

C.

-0.0237.

解释:

B is correct

考点:Interest rate parity

解析,根据利率平价理论的公式,我们首先可以求得美元兑英镑的远期汇率水平,即:

(FUSD/GBP=SUSD/GBP(1+iUSD(180360)1+iGBP(180360))=1.55(1+0.58%(180360)1+0.62%(180360))=1.5497(F_{USD/GBP}=S_{USD/GBP}{(\frac{1+i_{USD}{(\frac{180}{360})}}{1+i_{GBP}{(\frac{180}{360})}})}=1.55{(\frac{1+0.58\%{(\frac{180}{360})}}{1+0.62\%{(\frac{180}{360})}})}=1.5497

接着我们再求出forward points,即:1.5497-1.5500 =-0.0003

有点混乱了. 这个题的带入公式计算步骤是怎样的 求解

1 个答案

品职助教_七七 · 2025年05月16日

嗨,从没放弃的小努力你好:


本题要计算的是forward points,所以要知道的是F-S。其中S已经给了,只需要求出F。

题干中给了两种币种的利率,加上F和S关系在IRP中有体现,所以需要使用IRP的公式,由此得到:

标价为USD/GBP时,F/S=(1+rUSD)/(1+rGBP)。

其中题干给的利率都是年化的,但题目只需要求180天的forward rate。所以需要将利率去年化,180天对应的rUSD=0.58%*180/360,180天对应的rGBP=0.62%*180/360

综上,F=S*(1+rUSD)/(1+rGBP)=1.55*(1+0.58%*180/360)/(1+0.62%*180/360)=1.54969

此后直接用F-S求出forward points为1.54969-1.55=-0.00031

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