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# Mathematics of Finance

Find the simple interest
1) \$4902 at 9.5% for 11 months

Find the amount of interest earned
2) \$3954 at 8% compounded annually for 12 years

Find the present value
3) \$17,650 in 4 years, 8% compounded quarterly

Find the future value
4) \$500 deposited at the end of each 6-month period for 8 years; money earns 6% compounded semiannually

Find the amount of the payment necessary to amortize the loan.
5) \$80,000; 8% compounded annually; 9 annual payments

#### Solution Preview

Find the simple interest
1) \$4902 at 9.5% for 11 months

4,902 x 0.095 x 11/12 = 426.88

Find the amount of interest earned
2) \$3954 at 8% compounded annually for 12 years

FV = PV (1+R)N where PV is the present value
R is the interest rate
N is the period

FV = 3,954(1.08)12
= 3,954(2.5182)
= 9,956.96

Interest earned = 9,956.96 - 3,954 = 6,002.96

Find the ...

#### Solution Summary

This solution is comprised of a detailed explanation and calculation to find the simple interest, present value, future value, and amortization amount.

\$2.19