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Adada · 2021年08月03日

如果用EAR来算，可以帮忙把具体怎么按计算器的步骤说一下吗？谢谢老师

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

如果用EAR来算，可以帮忙把具体怎么按计算器的步骤说一下吗？谢谢老师

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3 个答案

星星_品职助教 · 2022年08月28日

@金梓栋

也可以这样计算。

用EAR的原因是该提问的前提为：“如果用EAR来算”

金梓栋 · 2022年08月27日

为什么用EAR？ 不直接求PV 嘛， 用计算器算 FV， N， I/Y，PMT 都已经知道了

星星_品职助教 · 2021年08月03日

同学你好，

FV=100,000；PMT=0；这两项不变。

EAR=(1 +0.025/52 ）^52 -1=2.5309%，所以I/Y=2.5309；对应N=1；

CPT PV=-97,531.57

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