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Scarle · 2022年09月12日

为啥4%不用折算成ear再除以12

NO.PZ2018062016000009

问题如下:

A perpetual bond is a financial product that pays the same amount of money over an infinite period of time. Assume each month it pays $60, and the annual discount rate of 4% compounded monthly. The present value of this bond is:

选项:

A.

$15,00

B.

$18,000

C.

undetermined

解释:

B is correct. The present value of a perpetuity is PV=A/r= $60/(4%/12)=$18,000.

为啥4%不用折算成ear再除以12?什么时候需要折成ear什么时候又不用,可以具体讲讲么

1 个答案

星星_品职助教 · 2022年09月12日

同学你好,

1)EAR不需要再除以12,只有stated annual interest rate才需要除以计息频率,得到实际的期间利率;

2)大多数情况下,直接使用期间利率就可以解题,此时没有必要专门转化为EAR。

3)如果题目对应的周期不是以年为单位,例如求N是多少个月,此时把EAR设为I/Y就会出错。

4)如果题目恰好求的是以年为单位的情况,例如求N是多少年,或每年的PMT是多少,此时需要用到年利率。如果题干没给,就需要自己手动转成EAR后再做。

可以在具体的题目中去体会上述的原则。

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