A senior executive is offered a buyout package by his company that will pay him a monthly benefit for the next 20 years. Monthly benefits will remain constant within each of the 20 years. At the end of each 12− month period, the monthly benefits will be adjusted upwards to reflect the percentage increase in the CPI(an inflation rate). You are given:

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 5P
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A senior executive is offered a buyout package by his company that will pay him a monthly benefit for the next 20 years. Monthly benefits will remain constant within each of the 20 years. At the end of each 12− month period, the monthly benefits will be adjusted upwards to reflect the percentage increase in the CPI(an inflation rate). You are given:

(i) The first monthly benefit is R and will be paid on month from today.
(ii) The CPI incrases 3.2% per year forever.
At an annual effective interest rate of 6%, the buyout package has a value of 100000. Calculate
R.
Transcribed Image Text:(i) The first monthly benefit is R and will be paid on month from today. (ii) The CPI incrases 3.2% per year forever. At an annual effective interest rate of 6%, the buyout package has a value of 100000. Calculate R.
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