An employee plans to retire in 30 years and wants to create a personal retirement fund where he can deposit a constant amount every 3 months until his retirement date, in order to be able to initiate a series of annual withdrawals of magnitude $ 60,000 for the next 20 years after it. Assume that withdrawals from the account start exactly one year after the last deposit, and that the deposits stop on the same day as their ithdra wal Detormine themagnit

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 44P
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An employee plans to retire in 30 years and
wants to create a personal retirement fund where
he can deposit a constant amount every 3
months until his retirement date, in order to be
able to initiate a series of annual withdrawals of
magnitude $ 60,000 for the next 20 years after it.
Assume that withdrawals from the account start
exactly one year after the last deposit, and that
the deposits stop on the same day as their
withdrawal. Determine the magnitude of
quarterly deposits if your financial advisor
promises you an interest rate of 8% per annum
compounded quarterly over the entire period you
stay in the fund (50 years).
Transcribed Image Text:An employee plans to retire in 30 years and wants to create a personal retirement fund where he can deposit a constant amount every 3 months until his retirement date, in order to be able to initiate a series of annual withdrawals of magnitude $ 60,000 for the next 20 years after it. Assume that withdrawals from the account start exactly one year after the last deposit, and that the deposits stop on the same day as their withdrawal. Determine the magnitude of quarterly deposits if your financial advisor promises you an interest rate of 8% per annum compounded quarterly over the entire period you stay in the fund (50 years).
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