Problem 1: What is the present value of:
a. $9,000 in 7 years at 8 percent?
b. $20,000 in 5 years at 10 percent?
c. $10,000 in 25 years at 6 percent?
d. $1,000 in 50 years at 16 percent?
Problem 2: How much would you have to invest today to receive:
a. $15,000 in 8 years at 10 percent?
b. $20,000 in 12 years at 13 percent?
c. $6,000 each year for 10 years at 9 percent?
d. $50,000 each year for 50 years at 7 percent?
Problem 3: Your rich godfather has offered you a choice of one of the three following alternatives: $10,000 now; $2,000 a year for eight years; or $24,000 at the end of eight years. Assuming you could earn 11 percent annually, which alternative should you choose? If you could earn 12 percent annually, would you still choose the same alternative?
Problem 4: You need $28,974 at the end of 10 years, and your only investment outlet is an 8 percent long-term certificate of deposit (compounded annually). With the certificate of deposit, you make an initial investment at the beginning of the first year.
a. What single payment could be made at the beginning of the first year to achieve this objective?
b. What amount could you pay at the end of each year annually for 10 years to achieve this same objective?