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_ Steven _ · 2020年02月21日

问一道题：NO.PZ2018062016000017 [ CFA I ]

  1. CFA I
  2. Quantitative

问题如下：

Bella set a new account for her worldwide-traveling plan. She plans to fund about $100,000 in five years and deposit cash in this account every month. Assume the stated annual rate is 3% and compounded monthly, the amount that Bella has to put into the account each month is:

选项：

A.

$1,547

B.

$1,570

C.

$1,670

解释：

A is correct. Input the following data in the calculator at END mode: N=5*12=60, I/Y=3/12, FV=100,000, PV=0, then PMT=-1,547. Therefore, the monthly deposit for Bella is $1547.

您好，为什么不先算出EAR以后再除以12得到每个月的利率，再用计算器算出每个月的PMT值呢？
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已采纳答案

星星_品职助教 · 2020年02月21日

同学你好，

EAR是不除以12的，只有stated annual rate即名义上的年利率才除以12，这也是得到EAR的计算过程。

本题的实际的月利率就是stated annual rate3%除以12，

这道题直接用计算器，每一期设定为一个月的方法是最快捷的。

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NO.PZ2018062016000017 问题如下 Bella set a new account for her worli-traveling plan. She plans to funabout $100,000 in five years anposit cash in this account every month. Assume the stateannurate is 3% ancompounmonthly, the amount thBella hto put into the account eamonth is: A.$1,547 B.$1,570 C.$1,670 A is correct. Input the following ta in the calculator ENmo: N=5*12=60, I/Y=3/12, FV=100,000, PV=0, then PMT=-1,547. Therefore, the monthly posit for Bella is $1547. 我有个问题一直没搞明白。如果我算EAR的话就是(1+0.03/12)的12x5次方.这个公式是算的什么？我总是不知道一道题什么时候算E什么时候又可以直接按计算器

2023-09-13 04:51 1 · 回答

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2023-03-14 00:13 1 · 回答

NO.PZ2018062016000017 问题如下 Bella set a new account for her worli-traveling plan. She plans to funabout $100,000 in five years anposit cash in this account every month. Assume the stateannurate is 3% ancompounmonthly, the amount thBella hto put into the account eamonth is: A.$1,547 B.$1,570 C.$1,670 A is correct. Input the following ta in the calculator ENmo: N=5*12=60, I/Y=3/12, FV=100,000, PV=0, then PMT=-1,547. Therefore, the monthly posit for Bella is $1547. 前面有道题 感觉类似，先求了E 本题也就求了E，但是什么时间需要求，什么时间不需要求呢，因为看到了本题的compounng 计息频率是12

2022-12-15 18:49 1 · 回答

NO.PZ2018062016000017问题如下Bella set a new account for her worli-traveling plan. She plans to funabout $100,000 in five years anposit cash in this account every month. Assume the stateannurate is 3% ancompounmonthly, the amount thBella hto put into the account eamonth is:A.$1,547B.$1,570C.$1,670A is correct. Input the following ta in the calculator ENmo: N=5*12=60, I/Y=3/12, FV=100,000, PV=0, then PMT=-1,547. Therefore, the monthly posit for Bella is $1547.题干中是state就是名义对吧，名义年利率，为啥不用算EAR再除以12呢？题干表述的是不是不严谨。如果用3%/12直接算，那3%就不能被称作是名义了吧？

2022-09-12 13:33 1 · 回答

如果EAR算出3.0416%,代入N=5，I/Y=3 .0416，PV=0，FV=100000，算出年PMT=18819.8，再除以12就是1568，请问哪里不对？

2020-03-25 15:04 2 · 回答