In order to make CDs look more attractive as an investment than they really are, some banks advertise that their rates are higher than their competitors’ rates; however, the fine print says that the rate is based on simple interest. If you were to deposit $10,000 at 10% per year simple interest in a CD, what compound interest rate would yield the same amount of money in 3 years? Solve by formula and write the spreadsheet function to display the i value.

What will be an ideal response?


Simple: F = 10,000 + 10,000(3)(0.10)
= $13,000
Compound: 13,000 = 10,000(1 + i) (1 + i) (1 + i)
(1 + i) 3 = 1.3000
3log(1 + i) = log 1.3
3log (1 + i) = 0.1139
log(1 + i) = 0.03798
1 + i = 1.091
i = 9.1% per year
Spreadsheet function: = RATE(3,,-10000,13000) displays 9.14%

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