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pjwang · 2019年12月05日

问一道题：NO.PZ2017092702000016

  1. CFA I
  2. Quantitative

问题如下：

A sports car, purchased for £200,000, is financed for five years at an annual rate of 6% compounded monthly. If the first payment is due in one month, the monthly payment is closest to:

选项：

A.

£3,847.

B.

£3,867.

C.

£3,957.

解释：

B is correct,

calculated as follows (where A is annuity and PV is present value):

A=[1−1(1+rs/m)mNrs/m]A=\left[\frac{1-\frac1{(1+r_s/m)^{mN}}}{r_s/m}\right]

l=(200,000)[1−1(1+0.06/12)12×50.06/12]      {l}=(200,000)\left[\frac{1-{\displaystyle\frac1{(1+0.06/12)^{12\times5}}}}{0.06/12}\right]\\\;\;\;

l=(200,000)/51.72556      {l}=(200,000)/51.72556\\\;\;\;

=3,866.56=3,866.56

请问这题的解题逻辑是什么呢，没有理解为什么解题公式是这样算出来的

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1 个答案

星星_品职助教 · 2019年12月06日

同学你好，

这道题答案解析用的是原版书的公式，但我们解这种题是不需要公式的，直接用计算器算即可。

N=12*5=60，I/Y=6/12=0.5，PV= - 200,000，FV=0，CPT PMT=3866.56，加油~

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