Experts say that the baby boom generation (born 1946-1960) cannot count on a company pension or Social Security benefits to provide a comfortable retirement. It is recommended that they start to save regularly and early. Michael, a baby boomer, has decided to deposit $3000 every year in an account that pays 12% compounded semiannually for 15 years.

a) How much money will be in the account at the end of the 15 years?

b) Suppose Michael has determined he needs to accumulate $250,000 from this annuity. What rate would achieve this goal?

c) If he cannot get the higher rate, what amount would his payments need to be in order to achieve the goal?