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.
1、第六年开始上大学交学费,通过N-4,FV=2.,PMT=6000,I/Y=5,求得PV=22339.48,这个PV应该是第五年的价值吧?
2、第五年的价值22339.48元相当于FV5,通过N=5,I/Y=5,PMT=0,求得PV =17503.56,然后乘以2,求得结果为35007.13元