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Naddik [55]
3 years ago
9

If Alvin invests $5,500 today in a savings account, the money will grow to $8,500 at the end of Year 4. Assuming that the intere

st is paid once per year, the effective annual rate of the investment is _____.
11.50%
Business
1 answer:
natka813 [3]3 years ago
4 0

Answer:

11.50 %

Explanation:

In estimating the effective annual rate of investment, we use the Future value formula and make i the subject of formula

Thus

FV = PV × (1 + i)^n

FV/PV = (1 + i)^n

FV/PV^ (1/n) = (1 + i)

i = FV/PV^(1/n) - 1

Given that

PV = 5500

FV = 8500

n = 4 years

Thus

i = 8500/5500^(1/4) - 1

= 3000^(1/4) - 1

= 0.1149

= 11.49%

= 11.50 % approximately.

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