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(Complex present value) How much do you have to deposit today so that beginning 11 years from now you can withdraw $15,000 a year for

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(Complex present value) How much do you have to deposit today so that beginning 11 years from now you can withdraw $15,000 a year for the next 3 years (periods 11 through 13 ) plus an additional amount of $30,000 in that last year (period 13)? Assume an interest rate of 9 percent. a. What is the value of the $15,000 withdrawals in years 11 through 13 at the end of year 10 if the annual interest rate is 9 percent? (Round to the nearest cent.) b. What is the present value today of the 3-year $15,000 annuity at the end of year 10 (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 $30,000 withdrawal in year 13 if the annual discount rate is 9 percent? (Round to the nearest cent.) $30,000 in that last year (period 13)? (Round to the nearest cent.)

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