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Blue. · 2021年05月12日

请问这题我这样理解可以吗?

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 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.

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 constantly , 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.



年金就是类似于购买退休保险,五险一金之类的产品。


这题就类比有个人每年付5000买退休养老保险,买了20年,今天退休了将要收到第一笔养老金。所以是之前的20年就付了钱了,属于BGN模式。


如果错误的话,请问老师可以以类似背景讲一下这题该如何理解吗?


1 个答案

星星_品职助教 · 2021年05月12日

同学你好,

“年金就是类似于购买退休保险,五险一金之类的产品。这题就类比有个人每年付5000买退休养老保险,买了20年,今天退休了将要收到第一笔养老金。所以是之前的20年就付了钱了”

-------数量里的年金问题没有那么复杂,这道题的意思是这个年金产品从今天开始,每年可以收到5000,连续收20年。要求的是这个年金的现值(PV)。所以BGN模式下直接按计算器输入各个值后CPT PV就可以了。

“An investor purchased an annuity many years ago.”这个条件在这道题里没有用,因为求的只是年金这个产品的现值,和投资者什么时候买的年金没关系。或者说,算出来PV后可以知道的是如果一个投资者今天想买这个年金产品,需要付出PV这么多钱。

数量里的年金问题都是简单求现值/终值。

---------

你说的那种情况属于pension(养老金)的情况,这个知识点会在财务里讲。即工作的时候每年交钱,退休的时候每年收钱,一直收到去世。这种情况的计算是二级财务的内容,一级不会有。这道题的背景和养老金不同,比如只给20年,不是一直给。

---------

年金产品不能等同于BGN模式。本题应用BGN的原因是题干中的“The first payment of the annuity is to be received today”。所以属于先付年金。

但如果题干中给出的提示为“The first payment of the annuity is to be received at the end of the year”,或者索性不给提示,就都属于普通年金(ordinary annuity)的情况,此时就不能使用先付模式了。

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