Question: (Complex present value) How much do you have to deposit today so that beginning 9 years from now you can withdraw $9,000 a year for

 (Complex present value) How much do you have to deposit today

(Complex present value) How much do you have to deposit today so that beginning 9 years from now you can withdraw $9,000 a year for the next 5 years (periods 9 through 13) plus an additional amount of $18,000 in that last year (period 13)? Assume an interest rate of 9 percent. a. What is the value of the $9,000 withdrawals in years 9 through 13 at the end of year 8 if the annual interest rate is 9 percent? $ (Round to the nearest cent.) b. What is the present value today of the 5-year $9,000 annuity at the end of year 8 (found in part a) if the annual interest rate is 9 percent? $ (Round to the nearest cent.) c. What is the present value of the amount of $18,000 withdrawal in year 13 if the annual discount rate is 9 percent? $ (Round to the nearest cent.) d. How much do you have to deposit today so that beginning 9 years from now you can withdraw $9,000 a year for the next 5 years (periods 9 through 13) plus an additional amount of $18,000 in that last year (period 13)? $ (Round to the nearest cent.)

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