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610 · 2020年03月01日

问一道题:NO.PZ2017092702000018

问题如下:

Given the  discount rate of 4% a year compounded annually, the present value (PV)of 50,000, as of the end of Year 5 (PV5 ), of the cash flow received at the end of Year 20 is closest to:

选项:

A.

$22,819.

B.

$27,763.

C.

$28,873.

解释:

B is correct.

The PV in Year 5 of a $50,000 lump sum paid in Year 20 is $27,763.23 (where FV is future value): PV = FVN(1 + r)N PV = $50,000(1 + 0.04)15 PV = $27,763.23

老师,感觉这道题的题干前面的PV 是个迷惑条件,而后面说 the cash flow 指的就是这个5W ,所以需要一开始就把5W 当成FV,对么?

1 个答案

星星_品职助教 · 2020年03月01日

同学你好,

这道题的5w确实是FV.这里PV of 5w的意思是这在第20年末才能收到的5w在第5年时候的PV是多少,也就是把FV=5w折现折到5时间点。本质还是已知FV求PV的题目,但区别就是不再是折现到0时间点。

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