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徐徐 · 2022年02月13日

老师好!请问同样是算FV,如何根据不同情况选择算法呢?

NO.PZ2018062016000010

问题如下:

Mary has a separate account for her annual savings which has a stated annual rate of 3% and compounding quarterly. At the end of each year, she transfers unequal cash flows into this account. Year 1: $500, Year 2: $800, Year 3: $0, Year 4: $300, Year 5: $500. How much will Mary save for her account at the end of year 5?

选项:

A.

$2246.81

B.

$2247.65

C.

$2281.00

解释:

B is correct.

想请问同样是算FV,什么时候用FV=PV(1+r/m)^m,什么时候用N、PMT、FV、I/Y这种计算器算法呢?有点蒙圈~谢谢老师!

2 个答案

星星_品职助教 · 2022年02月13日

@徐徐 好的,学习加油~

星星_品职助教 · 2022年02月13日

同学你好,

计算器背后的逻辑就是公式。这两种方式在计算单一现金流时的原理上是一样的,结果也不会有差。

从计算的便捷角度出发,在没有PMT时,直接手按FV=PV(1+r/m)^m来计算比计算器第三排五个键更快。

但如果有PMT的话,FV=PV(1+r/m)^m这个公式是不能用的。虽然也有单独的年金公式(不用掌握),但此时按计算器要快捷方便的多。

徐徐 · 2022年02月13日

好滴,这下子很清楚了,谢谢老师!

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