Purpose: (L.O. 2, 3, 5) This exercise will illustrate how to solve present value problems that require the computation of the rent in an annuity or the number of periods or the interest rate.
Using the appropriate interest table, provide the solution to each of the following three questions by computing the unknowns.
(a) Jimmy Gunshanan has $5,000 to invest today at 5% to pay a debt of $7,387. How many years will it take him to accumulate enough to liquidate the debt if interest is compounded once annually?
(b) Jimmy's friend Nathan has a $6,312.40 debt that he wishes to repay four years from today. He intends to invest $5,000.00 for four years and use the accumulated funds to liquidate the debt. What rate of interest will he need to earn annually in order to accumulate enough to pay the debt if interest is compounded annually?
(c) Jason Zahner wishes to accumulate $35,000 to use for a trip around the world. He plans to gather the designated sum by depositing payments into an account at Sun Bank which pays 4% interest, compounded annually. What is the amount of each payment that Jason must make at the end of each of six years to accumulate a fund balance of $35,000 by the end of the sixth year?
TIP: Calculated factors may not exactly match those on the interest tables. Use the closest match.