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Lunanana · 2020年05月21日

问一道题:NO.PZ2015120604000011

问题如下:

An investor purchased an annuity many years ago. The first payment of the annuity is to be received today. Assume the payment of the annuity is $5,000  constanly , the period the pamment is 20 years. and the discount rate is 12%, calculate the today' value of the annuity:

选项:

A.

$37,347.

B.

$403,493.

C.

$41,829.

解释:

C is correct.

Under the BGN mode.

N = 20; PMT = -5,000; I/Y =12; FV = 0; CPT  PV = 41,828.89.

请问下,这道题为啥是求pv而不是fv。20年前的annuity到今天的today‘s value不就是20年前的fv吗?求教,谢谢。

2 个答案
已采纳答案

星星_品职助教 · 2020年05月21日

同学你好,

这道题的题干可以理解为多年前买了一个年金,这个年金是从今天开始有payment,然后这个payment连续持续20年,求这个年金在“今天”的价值。

可以看出,“ purchased an annuity many years ago”这个条件实际是没有用的。年金在哪天买的没有关系,关键的是从今天开始付款,然后从今天开始payment持续20年(并不是20年前买的年金的意思),然后问年金在今天(意思是要求的是先付年金)的现值,所以是求PV而不是FV

Swan陈师雯 · 2021年03月30日

请问这道题的图表应该怎么画呢?

星星_品职助教 · 2021年03月30日

@Swan陈师雯

图像供参考,如果还有问题可以继续提问或者评论。


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