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Alicess · 2020年06月22日

问一道题:NO.PZ2015120604000011 [ CFA I ]

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 payment 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.

请问如何得知是先付?请用中文解释
1 个答案

星星_品职助教 · 2020年06月23日

同学你好,

从题干中的“ The first payment of the annuity is to be received TODAY”可知,这个年金的首笔PMT是于今日也就是0时点收到的,这是先付年金的形式。

对于后付年金来说,首笔PMT是于1时点收到的,0时点是没有现金流的。即如果是后付年金,题干的描述会是“ The first payment of the annuity is to be received AT THE END OF THE FIRST YEAR”

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