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Madison · 2023年11月07日

请用A/B的公式推导出结论

NO.PZ2018091706000061

问题如下:

Assume that the DM country has what is considered a low-yield safe haven currency while the EM country has a high-yield currency whose value is more exposed to fluctuations in the global economic growth rate. All else equal, the exchange rate for the EM currency will most likely depreciate if the:


选项:

A.

long-run equilibrium value of the high-yield currency is revised upward

B.

nominal yield spread between the EM and DM countries increases over time

C.

expected inflation differential between the EM and DM countries is revised upward

解释:

All else equal, an increase in the expected inflation differential should lead to depreciation of the EM currency.

解析:

real exchange rate (A/B) = equilibrium real exchange rate + (real interest rate B - real interest rate A)- (risk premium B - risk premium A)

根据上述公式。所以AB选项错误。

在其它条件相同的情况下,预期通胀率的扩大会加两国的风险溢价之差,从而应会导致新兴市场货币贬值。所以C选项正确。


你好,如果单说increase in risk premium leads to EM currency depreciation,并不看公式,是容易理解的。但感觉用这个A/B的公式不是很好理解。可以用这个公式推导一下吗?想看怎样能得到相同的结论。Since it is specified that it is exchange rate for EM, 意思是A/B = DM/EM? 谢谢。

1 个答案

笛子_品职助教 · 2023年11月07日

嗨,努力学习的PZer你好:


real exchange rate (A/B) = equilibrium real exchange rate + (real interest rate B - real interest rate A)- (risk premium B - risk premium A)


同学首先要理解A/B的含义,这是汇率表示法。

在这个汇率表示法中,B是base currency,因此A/B是指B国货币的升跌。A/B数字升,表示B国货币升值。


我们看实际利率这项:

+ (real interest rate B - real interest rate A)

表示:B国利率,相对A国越高,则B国货币越升值。


我们再看风险溢价这项

- (risk premium B - risk premium A)

表示:注意这里前面是负号。B国风险溢价越高,B国货币越贬值。


因此公式可以得出结论:

实际利率越高的国家,货币越升值。

风险溢价越高的货币,货币越贬值。


这里记忆公式还是记忆结论,都是可以的,两者是一致的。



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