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为了求职冲呀 · 2022年02月20日

PV = £100,000(1 +0.025/52 )-52为什么是负52次方

  1. CFA I
  2. Quantitative

NO.PZ2017092702000005

问题如下：

A client requires £100,000 one year from now. If the stated annual rate is 2.50% compounded weekly, the deposit needed today is closest to:

选项：

A.

£97,500.

B.

£97,532.

C.

£97,561.

解释：

B is correct

because £97,531 represents the present value (PV) of £100,000 received one year from today when today’s deposit earns a stated annual rate of 2.50% and interest compounds weekly, as shown in the following equation (where FV is future value):

PV = FVN(1 + rs /m)mN PV = £100,000(1 +0.025/52 )-52 PV = £97,531.58.

 PV = £100,000(1 +0.025/52 )-52为什么是负52次方

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1 个答案

星星_品职助教 · 2022年02月21日

同学你好，

公式逻辑为：

1）FV=PV×（1+r）^n

2）上式移项后可得PV=FV×（1+r）^ -n，所以本题求PV，对应就是 - 52次方


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