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很内向吃饱了也不说一直吃 · 2025年04月17日

DB plan计算

NO.PZ2023040501000036

问题如下:

Loris provides Paul with the information in Exhibit 1 about John Smith, an employee who has just started working for Atlantic, and other information taken from the company’s pension plan disclosures. Loris asks Paul to calculate the pension liability arising from Smith.


The benefit formula has been changed to 1.75% x Final year’s salary x Number of years of service under the plan.

At the end of Smith’s second year of service, the estimated defined benefit obligation arising from his employment is closest to:

选项:

A.

$20,092.

B.

$20,818.

C.

$27,802.

解释:

1.老师请问一下Estimated years in retirement意思是退休后每年有稳定的现金流吗?相当于先求PV(6)然后再折现折到第二年末吗?这么理解对不?有点分不清题目里说的几个year(现在任职到退休的?退休之后受益的年限?),可以麻烦老师画个图解释一下嘛

2.题目里说的是payments paid at year end为什么存在期初和期末的问题呢,看到其他的问题里有相关内容。谢谢!

1 个答案

王园圆_品职助教 · 2025年04月17日

同学你好,1. “老师请问一下Estimated years in retirement意思是退休后每年有稳定的现金流吗?”——是的,就是每年都可以获得一笔退休金,一共可以获得25年的意思

“相当于先求PV(6)然后再折现折到第二年末吗?”——如果你把12年1月1日作为0时刻的话,确实是PV6,但是以下图助教的画法,也可以认为是PV4

“有点分不清题目里说的几个year(现在任职到退休的?退休之后受益的年限?),可以麻烦老师画个图解释一下嘛”——请看下面的图,助教已经把每个时点都标注在图画上了

2.因为如果是期初支付而不是期末支付,那就需要设定计算器的“期初年金”的计算方法,否则算出来的答案就会出现错误,所以有必要理解清楚题目说的到底退休金是什么时候支付——但是本题题目根本没有特意强调退休金是一退休就立刻支付第一笔的,所以可以认为就是期末支付的年金,你正常用计算器PV键计算即可


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