Janet Boyle intends to deposit $300 per year in a credit union for the next 10 years, and the credit union pays an annual interest rate of 8%.
a. Determine the future value that Janet will have at the end of 10 years, given that end-of-period deposits are made and no interest is withdrawn, if
(1) $300 is deposited annually and the credit union pays interest annually.
(2) $150 is deposited semiannually and the credit union pays interest semiannually.
(3) $75 is deposited quarterly and the credit union pays interest quarterly.
b. Use your finding in part a to discuss the effect of more frequent deposits and compounding of interest on the future value of an annuity.