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Diana · 2023年01月23日

不明白我的方法怎么错了

  1. CFA I
  2. Economics Analysis

NO.PZ2016010802000206

问题如下：

An exchange rate between two currencies has increased to 1.4500. If the base currency has appreciated by 8% against the price currency, the initial exchange rate between the two currencies was closest to:

选项：

A.

1.3340.

B.

1.3426.

C.

1.5660.

解释：

B is correct.

The percentage appreciation of the base currency can be calculated by dividing the appreciated exchange rate by the initial exchange rate. In this case, the unknown is the initial exchange rate. The initial exchange is the value of X that satisfies the formula:

1.4500/X = 1.08

Solving for X leads to 1.45/1.08 = 1.3426.

考点： Percentage Change in A Currency

解析:

1.4500/初始汇率= 1.08.

初始汇率= 1.45/1.08 = 1.3426

我的方法是假设原先的price curency 为A, base currency是B, 那么A/1.08B=1.45, 那么A/B=1.45*1.08=1.566,这么算为啥不行呢？

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1 个答案

笛子_品职助教 · 2023年01月24日

嗨，爱思考的PZer你好：


我的方法是假设原先的price curency 为A, base currency是B, 那么A/1.08B=1.45, 那么A/B=1.45*1.08=1.566,这么算为啥不行呢？


同学这么算是不行的。

我们看这句话：

An exchange rate between two currencies has increased to 1.4500. If the base currency has appreciated by 8% against the price currency, 

意思是，升值8%之后，现在的价格是1.45。

而同学的算法是，原来是1.45，在1.45的基础上升值了8%


我们把base currency比作苹果。可以翻译一下：

之前苹果有个价格X元/个，苹果涨价8%后，现在苹果价格是1.45元/个。


列出方程式：

X *（1+8%） = 1.45

X = 1.45/(1.08) = 1.3426


之前苹果价格是1.3426元一个，涨8%后，现在价格1.45元一个


汇率同理，之前一个base currency兑换1.3426个计价货币，涨价8%后，现在一个base currency兑换1.45个计价货币。

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