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Tututu · 2024年10月21日

为什么不可以1.45*（1-8%）

  1. CFA I
  2. Economics Analysis

NO.PZ2023061903000020

问题如下：

Q. An exchange rate between two currencies has increased to 1.4500. If the base currency has appreciated by 8 percent 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.

基础货币的升值百分比可以通过用升值的汇率除以初始汇率来计算。在这种情况下，未知的是初始汇率。初始交换是满足公式的X值:

1.4500/ x = 1.08

求解X得到1.45/1.08 = 1.3426。

为什么不可以1.45*（1-8%）

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1 个答案

笛子_品职助教 · 2024年10月22日

嗨，从没放弃的小努力你好：


为什么不可以1.45*（1-8%）

Hello，亲爱的同学~

同学先掌握一个知识点：汇率数字的升跌，表示base currency的升跌。


在以上知识点基础上，我们看这题。

这题说base currency升值8%，根据知识点，也就是汇率数字上涨8%后，是1.45，问上涨前的汇率数字是多少。


这是一道方程题。我们设上涨前的汇率数字为X

X*(1+8%)=1.45。解方程：X=1.3426。


如果是1.45*（1-8%），它不符合“汇率数字的升跌，表示base currency的升跌”这个规律。

因为汇率是升值8%，而不是贬值8%。

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