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Brief Exercise 6-1 Morgan Spear invested $16,100 today in a fund that earns 8% c

ID: 2341394 • Letter: B

Question

Brief Exercise 6-1

Morgan Spear invested $16,100 today in a fund that earns 8% compounded annually.

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To what amount will the investment grow in 3 years? To what amount would the investment grow in 3 years if the fund earns 8% annual interest compounded semiannually? (Round factor values to 5 decimal places, e.g. 1.25124 and final answers to 0 decimal places, e.g. 458,581.)

Open Show Work

Investment at 8% annual interest $

Investment at 8% annual interest, compounded semiannually $

Explanation / Answer

1.We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period.

Hence

A=$16100*(1.08)^3

=$16100*1.25971

=$20281(Approx).

2.We use the formula:
A=P(1+r/200)^2n
where
A=future value
P=present value
r=rate of interest
n=time period.

Hence

A=$16100(1+0.08/2)^(2*3)

=$16100*1.26532

=$20372(Approx).

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