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🌊Yuri🌊 · 2023年09月13日

提问

NO.PZ2018062016000017

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.

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EAR 什么时候又可以直接按计算器

1 个答案

星星_品职助教 · 2023年09月14日

同学你好,

“(1+0.03/12)的12x5次方”相当于:

1)以EAR计算 :(1+EAR)^5

2)以月利率计算:(1+月利率)^60


公式和计算器是完全一致的,使用公式和使用计算器均可。

必须使用实际年利率的时候就用EAR,否则用实际期间利率即可。本题可直接用上述的第二种方式即实际的月利率来计算。

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