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kevinzhu · 2020年03月16日

问一道题:NO.PZ2018062016000014

问题如下:

Tom has twin daughters Lucy and Lily at 12 years old. Six years later, both will study in a famous university in California for four years with a tuition fee of $6,000 paid at the beginning of each year per person. Assume the annual discount rate is 5%, today Tom should prepare:

选项:

A.

$16,670

B.

$33,340

C.

$31,753

解释:

B is correct. Six years later, Tom will pay tuition fee of $12,000 each year and last for 4 years, as he has two daughters. The payment is paid in the front, therefore set the calculator at BGN mode and input: N=4, I/Y=5%, PMT=12,000, FV=0, then PV=44678.98. The value of tuition fund at year 6 is $44,678.98, so the present value is $44,678.98/(1+5%)6=$33,340.

这里出现“Six years later”,N=6

而之前的练习题里面出现 “at the end of thirteenth years”、“in five quarters”N都是减去1,请问如何区分?


1 个答案

星星_品职助教 · 2020年03月17日

同学你好,

这是先付年金和后付年金的区别,本题先付年金,4笔现金流折现就折到6时点,然后再往前折6期;如果是后付年金,则折现折到5时点,然后再往前折5期,计算结果没有差异

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