#4

(Complex present value) How much do you have to deposit today so that beginning 16 years from now you can withdraw $15,000 a year for the next 4 years (periods 16 through 19) plus an additional amount of $30,000 in that last year (period 19)? Assume an interest rate of 11 percent. C... a. What is the value of the $15,000 withdrawals in years 16 through 19 at the end of year 15 if the annual interest rate is 11 percent? (Round to the nearest cent.) b. What is the present value today of the 4-year $15,000 annuity at the end of year 15 (found in part a) if the annual interest rate is 11 percent? (Round to the nearest cent.) c. What is the present value of the amount of $30,000 withdrawal in year 19 if the annual discount rate is 11 percent? (Round to the nearest cent.) d. How much do you have to deposit today so that beginning 16 years from now you can withdraw $15,000 a year for the next 4 years (periods 16 through 19) plus an additional amount of $30,000 in that last year (period 19)? (Round to the nearest cent.)