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

Serena · 2021年04月05日

为什么计算这题时不需要把stated rate 转换到EAR？

  1. CFA I
  2. Quantitative

NO.PZ2017092702000010

问题如下：

A saver deposits the following amounts in an account paying a stated annual rate of 4%, compounded semiannually:

At the end of Year 4, the value of the account is closest to:

选项：

A.

$30,432

B.

$30,447

C.

$31,677

解释：

B is correct.

To solve for the future value of unequal cash flows, compute the future value of each payment as of Year 4 at the semiannual rate of 2%, and then sum the individual future values, as follows:

为什么计算这题时不需要把stated rate 转换到EAR？

添加评论
1 个答案

星星_品职助教 · 2021年04月06日

同学你好，

stated rate必须要做转化，既可以转化成期间利率，也可以转化成EAR，取决于题目的要求。

本题中，哪种转化方式都可以。

例如第一年的4,000，如果用期间利率（半年期利率：4%/2=2%）来做，那么就是4,000×1.02^（3×2）=4,000×1.02^6

如果用EAR来做，就是4,000×（1+EAR）^3，由于1+EAR=1.02^2，所以代入后4,000×（1+EAR）^3依然等于4,000×1.02^6，两种方式结果是一样的。

  • 1

    回答

  • 1

    关注

  • 581

    浏览
相关问题

NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 为什么不是按照effective annurate的计算方式计算呢？这样一年4%，按照半年机洗一次的话，EAR应该算出来是4.04%呀，并不是直接4%除上2，这个理解是哪里有问题呢？

2023-09-28 13:47 1 · 回答

NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 若用CF计算，CF0 = 0，CF1，3，5，7=0，2，4，6，8分别为题目给予的数值，同时I = 2，这样计算是否正确

2023-08-10 06:53 1 · 回答

NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 ti

2023-05-27 14:40 1 · 回答

NO.PZ2017092702000010 问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to: A.$30,432 B.$30,447 C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 题干里给的是每年年末的posit。第一年4000，第二年8000，第二年8000里面不会有4000已经compoun第四年年末了吗？再计算8000的compoun什么没有重复计算的问题？

2023-05-26 10:05 1 · 回答

NO.PZ2017092702000010问题如下 A saver posits the following amounts in account paying a stateannurate of 4%, compounsemiannually:the enof Ye4, the value of the account is closest to:A.$30,432B.$30,447C.$31,677 B is correct.To solve for the future value of unequcash flows, compute the future value of eapayment of Ye4 the semiannurate of 2%, anthen sum the invifuture values, follows:根据上表所示，首先计算每笔存款的FV，但是需使用semiannurate 2%，然后将FV相加求和。 我的想法每一年分开算，如第一年，N=2，I/Y=2%，pv=题目中的，然后能算出来FV第二年，N和I/Y不变，PV=第一年算出来的值，PMT=题目给的第二年的投资，算FV第三年，N和I/Y不变，PV=第二年算出来的值，PMT=题目给的第三年的投资，算Fv这个FV就是答案。请问老师我这个思路有什么问题吗？

2023-03-08 18:17 1 · 回答