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HL · 2022年05月30日

为什么这里基础货币贬值不是除以1.05?

NO.PZ2018062003000206

问题如下:

Assume that the exchange rate between CAD and USD has decreased to 1.5800. If the USD has depreciated by 5% against the price currency, which of the initial exchange rate is the most accurate between CAD and USD?

选项:

A.

1.5048.

B.

1.6632.

C.

0.6646.

解释:

B is correct.

1.5800/initial rate = 1-0.05

initial rate=1.58/0.95 = 1.6632.

考点: Percentage Change in A Currency

解析:

1.5800/初始汇率= 1-0.05

初始汇率=1.58/0.95 = 1.6632.

货币贬值不是汇率升高吗?

2 个答案
已采纳答案

笛子_品职助教 · 2022年05月31日

嗨,从没放弃的小努力你好:


感谢详细讲解,但是还有些疑问: 既然是在原汇率基础上贬值的,为什么是原汇率S=现汇率F/0.95,而不是S=F*1.05呢?


汇率确实难以理解,我先用股票举例。


一个股票,今天是9.5元,相比昨天,跌了5%,问昨天的股票价格是多少钱。

与这道题类似,汇率现在是1.58,相比之前的汇率,跌了5%,问之前的汇率是多少钱。


那么先看股票。

我们假设,昨天股票价格是X

列出方程,9.5/X -1 = -5%

解方程:9.5/X = -0.05+1

9.5/X = 0.95

X = 9.5/0.95=10


本题同理,1.5800/initial rate -1 = -0.05

initial rate=1.58/0.95 = 1.6632.

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笛子_品职助教 · 2022年05月31日

嗨,从没放弃的小努力你好:


这里涉及的知识点是基础货币和计价货币。

基础货币可以看成商品,例如,每个苹果人民币1.58元,表示为,1.58元/苹果。/表示per,每一个的意思。

如果是货币表达式,CAD/USD=1.58,每个美元值1.58个加元,美元就是基础货币,加元是计价货币。


本题说,If the USD has depreciated by 5% against the price currency。

意思是,美元贬值5%后,CAD/USD=1.58。原来的汇率(initial rate)比现在的汇率高。


如果除以1.05,原来的汇率就比现在的低了,不符合题意。


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