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DDAXC · 2023年04月02日

汇率

NO.PZ2018091706000045

问题如下:

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

1. The spot exchange market rate is 1.5500 USD/GBP for bid and 1.5505 for ask.

2. The 6-month forward rate is 1.5532 USD/GBP for bid and 1.5540 for ask.

So, Bob can get which of the following conclusions?

选项:

A.

The 6-month USD interest rate is less than the 6-month GBP interest rate.

B.

The 6-month USD interest rate is greater than the 6-month GBP interest rate.

C.

The 6-month USD interest rate is equal to the 6-month GBP interest rate.

解释:

B is correct.

考点:Interest rate parity

解析:根据利率平价理论,我们可以得到如下公式:

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

现在分析师Bob观察到的结果是F>S。因此,等式右边(1+iUSD(180360)1+iGBP(180360))(\frac{1+i_{USD}{(\frac{180}{360})}}{1+i_{GBP}{(\frac{180}{360})}})这一项数值一定大于1。所以该项中分子的iUSDi_{USD} 分母的iGBPi_{GBP}。所以选B。

汇率上升 USD升值 应该是USD利率低啊

2 个答案

笛子_品职助教 · 2023年07月13日

嗨,爱思考的PZer你好:


老师,请问为什么GBP升值,GBP利率低啊?


利率平价公式决定的。

远期Fowrard比spot高,投资者可以赚到远期升水。

因此GBP利率就要低,投资者亏损利差。

赚到的升水和亏掉的利差,互相抵消,这才是无套利均衡。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

笛子_品职助教 · 2023年04月03日

嗨,努力学习的PZer你好:


汇率上升 USD升值 应该是USD利率低啊


Hello,亲爱的同学!

如果是USD升值(远期大于即期更准确),确实应该是USD更低。同学这里理解正确。


但是本题并不是USD升值,本题是GBP升值。我们看题目条件:

The spot exchange market rate is 1.5500 USD/GBP for bid and 1.5505 for ask.,意思是USD/GBP的即期汇率,分别是1.5500和1.5505

The 6-month forward rate is 1.5532 USD/GBP for bid and 1.5540 for ask. 意思是USD/GBP的远期汇率,分别是1.5532和1.5540


所以USD/GBP的远期汇率大于即期汇率,汇率表达式是指base currency的升值贬值,也就是远期来看,GBP要升值,USD要贬值。


根据利率平价,GBP利率低,USD利率高。

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加油吧,让我们一起遇见更好的自己!

SHAO · 2023年07月12日

老师,请问为什么GBP升值,GBP利率低啊?

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