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(Complex present value) How much do you have to deposit today so that beginning 12 years from now you can withdraw $12,000 a year for

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(Complex present value) How much do you have to deposit today so that beginning 12 years from now you can withdraw $12,000 a year for the next 7 yoars (periods 12 though 18) plus an additional arnount of $24,000 in that last year (period 18)? Assume an interest rate of 9 percent. a. What is the value of the $12,000 withdrawals in years 12 through 18 at the end of year 11 if the annual interest rate is 9 percent? (Round to the nearest cent.) b. What is the prosent value foday of the 7-year $12,000 annuity at the end of year 11 (tound in part a) if the anmual interest rate is 9 porcent? (Round to the nearest cont) e. What is the present value of the antount of 524,000 withdrawal in year 18 if the annual discount rate is 9 percent? (Round to the noasst chint) d. How much do you tave to doposh todoy so that begimuing 12 years hom now you can withdraw 512,000 a year tar the next 7 yeass (periods 12 through 18 ) plus an addeonal arrount of $24,000 in that last yoar (oeriod 10\%? (Round to the noarost cent)

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