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广超 · 2023年07月13日

老师,这道题按照答案去摁计算器,明明就是61330啊?

NO.PZ2022123001000007

问题如下:

A financial contract offers to pay €1,200 per month for five years with the first payment madeimmediately. Assuming an annual discount rate of 6.5%, compounded monthly the presentvalue of the contract is closest to:

选项:

A.€61,663. B.€63,731. C.€61,330.

解释:

Using a financial calculator: N = 60; the discount rate, I/Y = (6.5%/12) = 0.54166667; PMT =€1,200; Future value = €0; Mode = Begin; Calculate present value (PV): PV = €61,662.62.

Alternatively: Treat the stream as an ordinary annuity of 59 periods and add the current value of€1,200 to the derived answer. Using a financial calculator: N = 59; the discount rate, I/Y =(6.5%/12) = 0.54166667; PMT = €1,200; Future value = €0; Mode = End; Calculate PV: PV =€60,462.62; Total PV = €1,200 + €60,462.62 = €61,662.62.

Using a financial calculator: N = 60; the discount rate, I/Y = (6.5%/12) = 0.54166667; PMT =€1,200; Future value = €0; Mode = Begin; Calculate present value (PV): PV = €61,662.62.


1 个答案

星星_品职助教 · 2023年07月13日

同学你好,

本题为先付年金。即答案解析中的“Mode = Begin”。

把计算器模式调到BGN,再按照答案解析的步骤去按键就对了。

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