9. A perpetuity due pays 600 in the first year, and in each subsequent year, the payment is 1% greater than the payment before. At an annual effective interest rate of i, the present value for the perpetuity is 152,100. Just after receiving the third payment, the perpetuity is replaced by a 30 year annuity immediate, and the present value for this annuity is also based on an annual effective interest rate of i. The annuity has payments of Find X. X, 2X, 3X, 4X, 5X, ...., 29X, 30X

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 7P
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9. A perpetuity due pays 600 in the first year, and in each subsequent year,
the payment is 1% greater than the payment before. At an annual effective
interest rate of i, the present value for the perpetuity is 152,100. Just after
receiving the third payment, the perpetuity is replaced by a 30 year annuity
immediate, and the present value for this annuity is also based on an annual
effective interest rate of i. The annuity has payments of
Find X.
X, 2X, 3X, 4X, 5X, ...., 29X, 30X
Transcribed Image Text:9. A perpetuity due pays 600 in the first year, and in each subsequent year, the payment is 1% greater than the payment before. At an annual effective interest rate of i, the present value for the perpetuity is 152,100. Just after receiving the third payment, the perpetuity is replaced by a 30 year annuity immediate, and the present value for this annuity is also based on an annual effective interest rate of i. The annuity has payments of Find X. X, 2X, 3X, 4X, 5X, ...., 29X, 30X
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