6. Determine the present values if $5,000 is received in the future (i.e., at the end of each indicated time period) in each of the following situations:
a. 5 percent for ten years
b. 7 percent for seven years
c. 9 percent for four years
9. Assume you are planning to invest $5,000 each year for six years and will earn 10 percent per year. Determine the future value of this annuity if your first $5,000 is invested at the end of the first year.
First investment at end of 1 year (ordinary annuity problem):
10. Determine the present value now of an investment of $3,000 made one year from now and an additional $3,000 made two years from now if the annual discount rate is 4 percent.
11. What is the present value of a loan that calls for the payment of $500 per year for six years if the discount rate is 10 percent and the first payment will be made one year from now? How would your answer change if the $500 per year occurred for ten years?
12. Determine the annual payment on a $500,000, 12 percent, business loan from a commercial bank that is to be amortized over a five-year period.
13. Determine the annual payment on a $15,000 loan that is to be amortized over a four-year period and carries a 10 percent interest rate. Also prepare a loan amortization schedule for this loan.
14. You are considering borrowing $150,000 to purchase a new home.
a. Calculate the monthly payment needed to amortize an 8 percent fixed-rate 30-year mortgage loan.
b. Calculate the monthly amortization payment if the loan in (a) was for 15 years.
15. Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan’s eight-year life.
a. How much could this loan be sold for to another bank if loans of similar quality carried an 8.5 percent interest rate? That is, what would be the present value of this loan?
8.5% for 8 years:
b. Now, if interest rates on other similar quality loans were 10 percent, what would be the present value of this loan?
c. Finally, what would be the present value of the loan if the interest rate is 8 percent on similar quality loans?