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?

How much would you have to invest today to receive:

a. $6,000 each year for 10 years at 9 percent?

b. $50,000 each year for 50 years at 7 percent?

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