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为了求职冲呀 · 2020年05月13日

问一道题：NO.PZ2017092702000005

  1. CFA I
  2. Quantitative

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 = £100,00(1 +0.025/52 )-52 PV = £97,531.58.

老师为什么是负的52次方？看了您同样的答案的回答，还是没有明白，不应该是m x n = 52（m）x 1年（n）= 52吗？

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1 个答案

星星_品职助教 · 2020年05月14日

同学你好，

这是一个正常公式的移项，关系如下：

PV×（1+r）^52=FV，所以PV=FV/[（1+r）^52]，也就相当于PV=FV×（1+r）的负52次方。

 

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