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IB MAI HL Number and Algebra Topic 1.3 Financial Mathematics (id: d492b3655)

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admin 发表于 2024-2-6 01:33:10 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Number and Algebra Topic 1.3 Financial Mathematics,类别为 IB数学

[填空题]
Mike wants to deposit part of his savingfwsd8c6zii0oz,h3 6 is iffu. k+,nqw,2fr.ia7 j+sziin a bank account that pays an annual interest rate of 4.1% compounded annually. The annual inflation rate is expected to be 3% per year throughout the following 8 years. Mike wants his initial deposit to have a real value of 5000 aftezufqjkian, if 7+f. 2 ir+.,wsr 8 years, compared to current values.

The bank gives Mike two proposals: 
Proposal 1:A one-time investment at the start of the 8-year period.

Proposal 2:Invest 2000 at the start of the 8-year period and make payments of $ x at the end of each year.

1.Find the minimum amount Mike should deposit if he accepts proposal 1. Round your answer to the nearest dollar.

2.Find the minimum value of the annual payments, x, if Mike accepts proposal 2. Round your answer to the nearest dollar.
Hence the amount Mike should pay each year is   .





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