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过儿 · 2021年09月14日

定量

此题答案是否有误,应该是5次方,因为是beginning

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No.PZ2018062016000014 (选择题)

来源: 品职出题

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:

您的回答, 正确答案是: B

A

$16,670

B

正确$33,340

C

$31,753

数据统计(全部)

做对次数: 1371

做错次数: 615

正确率: 69.03%

数据统计(个人)

做对次数: 1

做错次数: 0

正确率: 100.00%

解析

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.

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星星_品职助教 · 2021年09月15日

同学你好,

这道题用先付年金算计算的话,第二步折现需要是六年。如图

从N=12时间点开始,又过6年即到了N=18时开始付学费。由于是先付模式,所以四笔学费的现金流时点分别是18,19,20,21。BGN模式下,这四笔现金流的折现也是折现回到18时间点。即图中的第①步。

BGN Mode:PMT=12,000,N=4,FV=0,I/Y=5,CPT PV=-44,678.98

第二步就是从N=18折现回N=12,可从图上看出此时N=6。即图中的第②步。

END mode:N=6,FV=44,678.98,I/Y=5,PMT=0,CPT PV=-33,340.14

 

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