(Complex present value) How much do you have to deposit today so that beginning 15 years from now you can withdraw $12,000 a year for the next 5 years (periods 15 through 19) plus an additional amount of $24,000 in that last year (period 19)? Assume an interest rate of 11 percent. a. What is the value of the $12,000 withdrawals in years 15 through 19 at the end of year 14 if the annual interest rate is 11 percent? (Round to the nearest cent.) b. What is the present value today of the 5-year $12,000 annuity at the end of year 14 (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 $24,000 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 15 years from now you can withdraw $12,000 a year for the next 5 years (periods 15 through 19) plus an additional amount of $24,000 in that last year (period 19)? (Round to the nearest cent.)
(Complex present value) How much do you have to deposit today so that beginning 15 years from now you can withdraw $12,000 a year for the next 5 years (periods 15 through 19) plus an additional amount of $24,000 in that last year (period 19)? Assume an interest rate of 11 percent. a. What is the value of the $12,000 withdrawals in years 15 through 19 at the end of year 14 if the annual interest rate is 11 percent? (Round to the nearest cent.) b. What is the present value today of the 5-year $12,000 annuity at the end of year 14 (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 $24,000 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 15 years from now you can withdraw $12,000 a year for the next 5 years (periods 15 through 19) plus an additional amount of $24,000 in that last year (period 19)? (Round to the nearest cent.)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Kk.265.
Transcribed Image Text:(Complex present value) How much do you have to deposit today so that beginning 15 years from now you can withdraw
$12,000 a year for the next 5 years (periods 15 through 19) plus an additional amount of $24,000 in that last year (period 19)?
Assume an interest rate of 11 percent.
a. What is the value of the $12,000 withdrawals in years 15 through 19 at the end of year 14 if the annual interest rate is 11
percent?
(Round to the nearest cent.)
b. What is the present value today of the 5-year $12,000 annuity at the end of year 14 (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 $24,000 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 15 years from now you can withdraw $12,000 a year for the next
5 years (periods 15 through 19) plus an additional amount of $24,000 in that last year (period 19)?
(Round to the nearest cent.)
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