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沅昕 · 2023年02月04日

数量问题

No.PZ2017092702000006 (选择题)

来源: 原版书

For a lump sum investment of ¥250,000 invested at a stated annual rate of 3% compounded daily, the number of months needed to grow the sum to ¥1,000,000 is closest to:


A is correct.

The effective annual rate (EAR) is calculated as follows:

EAR = (1 + Periodic interest rate)– 1  EAR = (1 + 0.03/365)365 – 1  EAR= (1.03045) – 1 = 0.030453 ≈ 3.0453%.

Solving for N on a financial calculator results in (where FV is future value and PV is present value):

(1 + 0,030453)= FVN/PV = (¥1,000,000/¥250,000)So,N = 46.21 years, which multiplied by 12 to convert to months results in 554.5, or ≈ 555 months.

这个题目里面(1 + 0,030453)= FVN/PV = (¥1,000,000/¥250,000)是不是写错了?是250000/100000? 另外,这个n是n次方还是什么?

2 个答案

星星_品职助教 · 2023年02月07日

@沅昕

FV是1,000,000

星星_品职助教 · 2023年02月04日

同学你好, 1)列式无误,FV是1,000,000。 2)等式左边的N代表N次方,右边FV后的N没有实质意义,不写也行。

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