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Pythias · 2023年07月19日

请问永续年金是否涉及先付和后付的问题?

NO.PZ2017092702000012

问题如下:

A sweepstakes winner may select either a perpetuity of £2,000 a month beginning with the first payment in one month or an immediate lump sum payment of £350,000. If the annual discount rate is 6% compounded monthly, the present value of the perpetuity is:

选项:

A.

less than the lump sum.

B.

equal to the lump sum.

C.

greater than the lump sum.

解释:

C is correct.

As shown below, the present value (PV) of a £2,000 per month perpetuity is worth approximately £400,000 at a 6% annual rate compounded monthly. Thus, the present value of the annuity (A) is worth more than the lump sum offer. A = £2,000 r = (6%/12) = 0.005 PV = (A/r) PV = (£2,000/0.005) PV = £400,000

the present value of the“perpetuity”--永续年金,带入永续年金的公式 PV=A/r即可:

A=2,000, r=(6%/12)=0.005, PV=A/r=400,000



2 个答案
已采纳答案

星星_品职助教 · 2023年07月19日

同学你好,

CFA中只给出了永续年金的后付形式,原则上所有题目里都应该是后付的,目前没有出现过例外。

实际上是存在先付永续年金的,只是在数量科目中不涉及。如果要计算先付永续年金的现值,只需要在计算出来的后付现值基础上再多加一个当期的分红A就可以了。

EmilyZhou · 2024年09月23日

老师请问先付后付是什么意思

品职助教_七七 · 2024年09月24日

嗨,爱思考的PZer你好:


@EmilyZhou

先付后付指的是PMT的付款时间。如果在年初付就是先付,年末付就是后付。


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