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# Computing future and present values

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Please see the attachment for the problems.

Problem 1
a) Compute the future value of \$1000 at 10% compounded annually for 6 years.
b) Compute the present value of \$1000 due in 4 years at 15%, compounded semiannually.

Problem 2
a) Compute the future value of a 9%, 5-year ordinary annuity that pays \$600 each year.
b) Assume that payments are made at the beginning of the year. Find the future value using the given information from part (a).
c) Use your results from part (a) and part (b) to make a generalization comparing the future value of an annuity and the future value of an annuity due.

Problem 3
Suppose Bank A pays 8% interest, compounded semiannually. Bank B pays 8% interest, compounded quarterly. Use the effective rate of interest (EAR) to determine which bank you should choose to deposit your money.

#### Solution Preview

See the attachment.

Problem 1
a) Compute the future value of \$1000 at 10% compounded annually for 6 years.
b) Compute the present value of \$1000 due in 4 years at 15%, compounded semiannually.

The formula we use for the compounded interests is A=P*(1+i)^n
a) P=1000, i=0.1, n=6.
A=1000*(1+0.1)^6=1771.56

b) P=1000, ...

#### Solution Summary

The solution assists with computing future and present values.

\$2.49