开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)｜3.2.5(安卓)APP下载

返回

a1132766866 · 2023年01月06日

永续年金的计算

  1. CFA I
  2. Quantitative

NO.PZ2018062016000012

问题如下：

David is going to retire in ABC company. The company has two retirement plans: Plan A is a one-time total retirement fund of $70,000, Plan B is a perpetuity of $900 at the end of each quarter that stated annual rate is 5% and compounded quarterly. Which plan should David choose?

选项：

A.

There is no difference

B.

Plan A

C.

Plan B

解释：

C is correct. The present value of Plan B is $900/(5%/4)=$72,000, which is larger than $70,000, the present value of Plan A. Therefore, David should choose Plan B.

永续年金是否不区分先付还是后付，所有的都是PV=A/r吧？

添加评论
1 个答案
已采纳答案

星星_品职助教 · 2023年01月07日

同学你好，

PV=A/r这个公式对应的是后付（永续）年金，即首笔付款在1时间点，PV值折到0时间点。

数量中的永续年金很少有先付的。如果是先付的情况，需要在上述的折现后，再加上一个0时点的A值。

  • 1

    回答

  • 0

    关注

  • 246

    浏览
相关问题

NO.PZ2018062016000012 问题如下 viis going to retire in Acompany. The company htwo retirement plans: PlA is a one-time totretirement funof $70,000, PlB is a perpetuity of $900 the enof eaquarter thstateannurate is 5% ancompounquarterly. Whiplshoulvichoose? A.There is no fferen B.Pl C.Pl C is correct. The present value of PlB is $900/(5%/4)=$72,000, whiis larger th$70,000, the present value of PlTherefore, vishoulchoose Pl $900/(5%/4)=$72,000这是个啥公式啊。 那永续年金不就相当于连续复利吗 不用e*r/4 吗

2023-09-13 04:34 1 · 回答

NO.PZ2018062016000012问题如下 viis going to retire in Acompany. The company htwo retirement plans: PlA is a one-time totretirement funof $70,000, PlB is a perpetuity of $900 the enof eaquarter thstateannurate is 5% ancompounquarterly. Whiplshoulvichoose?A.There is no fferenceB.PlAC.PlBC is correct. The present value of PlB is $900/(5%/4)=$72,000, whiis larger th$70,000, the present value of PlTherefore, vishoulchoose PlB.永续年金的r为什么不是ear来计算

2023-05-17 16:48 1 · 回答

NO.PZ2018062016000012 问题如下 viis going to retire in Acompany. The company htwo retirement plans: PlA is a one-time totretirement funof $70,000, PlB is a perpetuity of $900 the enof eaquarter thstateannurate is 5% ancompounquarterly. Whiplshoulvichoose? A.There is no fferen B.Pl C.Pl C is correct. The present value of PlB is $900/(5%/4)=$72,000, whiis larger th$70,000, the present value of PlTherefore, vishoulchoose Pl 既然是按季度计息的，为什么不应该是先把1+EAR=(1+5%/4)的四次方， 算出来EAR=5.0945%然后再除以4是每期利率，再用900除以这个每期利率吗？

2023-04-24 11:20 1 · 回答

NO.PZ2018062016000012 问题如下 viis going to retire in Acompany. The company htwo retirement plans: PlA is a one-time totretirement funof $70,000, PlB is a perpetuity of $900 the enof eaquarter thstateannurate is 5% ancompounquarterly. Whiplshoulvichoose? A.There is no fferen B.Pl C.Pl C is correct. The present value of PlB is $900/(5%/4)=$72,000, whiis larger th$70,000, the present value of PlTherefore, vishoulchoose Pl 这个公式是永续年金的？咋看出来是永续年金呢？我还用那个计算器算呢 完全不对

2022-12-15 19:14 1 · 回答