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Glanda · 2020年02月27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.

请问直接用学费的现值当做每年存款的FV,用计算器计算,N=6,I/Y=5,PV=0,计算PMT的值可以么?

1 个答案

星星_品职助教 · 2020年02月27日

同学你好,

这道题要算的是0时刻存多少钱,6年后可以保证有钱付四年的学费。0-6期间是没有中间现金流的.

换而言之算出学费的现值后,就变成了已知FV,求PV的single payment问题,这里面是PMT=0,而PV不为0

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