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

朱明远 · 2020年07月23日

问一道题：NO.PZ2018062016000006

  1. CFA I
  2. Quantitative

问题如下：

Lucy believes that after retirement she will need about $2 million totally for her daily expenses. At present, she has $1million investment at a stated annual interest rate of 2.5%. Assuming compounded daily, how long does it take for Lucy to have enough money for retirement life?

选项：

A.

27.73 years

B.

28.07 years

C.

26.48 years

解释：

A is correct.

EAR=(1+0.025/365)365-1=0.02531

$1million*(1+0.02531)N =$2million, N=27.73 years.


用计算器算的时候，I/Y=2.5/365


而从state rate 转换成EAR的时候，公式是（1+2.5%/365）^365-1


这两个都是算EAR吗？

添加评论
3 个答案

星星_品职助教 · 2020年08月01日

@ zzm

可以用这两种方法来算，这两种方法实质是一样的，只是你列的第一种方法多了一步由日利率转化EAR。形式上的差别在于如果用EAR，对应的N就要是多少年。如果用日利率，对应的N就是多少天，

这道题转化成EA计算R比较麻烦，直接用第二种方法的日利率按计算器算N，然后除以365就可以。

星星_品职助教 · 2020年07月31日

@ zzm

题干明确说明“ stated annual interest rate of 2.5%”，即2.5%只是一个名义上的利率，无法直接用这个利率来计算，所以需要将其转化为日利率，或有效年利率来进行下一步计算。

星星_品职助教 · 2020年07月24日

同学你好，

用计算器的那种方法转化的利率是期间利率，以本题为例，I/Y=2.5/365代表的是日利率。

而EAR是有效“年”利率的概念，对应期间是一年。第二种用公式转化的方式才是EAR。

  • 3

    回答

  • 0

    关注

  • 321

    浏览
相关问题

NO.PZ2018062016000006 问题如下 Lubelieves thafter retirement she will neeabout $2 million totally for her ily expenses. present, she h$1million investment a stateannuinterest rate of 2.5%. Assuming compounily, how long es it take for Luto have enough money for retirement life? A.27.73 years B.28.07 years C.26.48 years A is correct.EAR=(1+0.025/365)365-1=0.02531$1million*(1+0.02531)N =$2million, N=27.73 years. EAR为什么是2.531，不是2.5，这里I/Y为什么需要转换

2023-09-19 22:15 1 · 回答

NO.PZ2018062016000006问题如下Lubelieves thafter retirement she will neeabout $2 million totally for her ily expenses. present, she h$1million investment a stateannuinterest rate of 2.5%. Assuming compounily, how long es it take for Luto have enough money for retirement life?A.27.73 yearsB.28.07 yearsC.26.48 yearsA is correct.EAR=(1+0.025/365)365-1=0.02531$1million*(1+0.02531)N =$2million, N=27.73 years.求问怎么用金融计算器计算～

2023-07-19 16:06 1 · 回答

NO.PZ2018062016000006问题如下 Lubelieves thafter retirement she will neeabout $2 million totally for her ily expenses. present, she h$1million investment a stateannuinterest rate of 2.5%. Assuming compounily, how long es it take for Luto have enough money for retirement life?A.27.73 yearsB.28.07 yearsC.26.48 yearsA is correct.EAR=(1+0.025/365)365-1=0.02531$1million*(1+0.02531)N =$2million, N=27.73 years.请问这题能用试错法计算吗，如果能的话要怎么算，谢谢

2023-06-15 21:50 1 · 回答

NO.PZ2018062016000006 问题如下 Lubelieves thafter retirement she will neeabout $2 million totally for her ily expenses. present, she h$1million investment a stateannuinterest rate of 2.5%. Assuming compounily, how long es it take for Luto have enough money for retirement life? A.27.73 years B.28.07 years C.26.48 years A is correct.EAR=(1+0.025/365)365-1=0.02531$1million*(1+0.02531)N =$2million, N=27.73 years. 为什么FV是-1不是1呢？

2023-06-15 12:23 1 · 回答

NO.PZ2018062016000006 问题如下 Lubelieves thafter retirement she will neeabout $2 million totally for her ily expenses. present, she h$1million investment a stateannuinterest rate of 2.5%. Assuming compounily, how long es it take for Luto have enough money for retirement life? A.27.73 years B.28.07 years C.26.48 years A is correct.EAR=(1+0.025/365)365-1=0.02531$1million*(1+0.02531)N =$2million, N=27.73 years. 同题目，这题我代入FV=2, PV=-1,I/Y=2.5,PMT=0，最后算出来的就是28.07，请问这个思路为什么错了呢？

2023-06-02 15:41 1 · 回答