Engineering Econ:   You’re looking at your parents’ retirement plans and studying the differences between their saving habits. On her thirty-first birthday, your mother Virginia invested $1,500 into her employer’s retirement plan, and she makes annual $1,500 payments for 10 years, so that her total contribution (principal) is $15,000. Your mother then stops making payments into her plan and keeps her money in the savings plan, untouched for 25 more years until retirement at age 65. Your father Anthony starts putting money aside on his forty-sixth birthday, when he deposits $2,000, and he continues these annual payments for 20 years until he reaches 65 years old. Thus, Anthony’s contributed principal amounts to $40,000 over this period of time. If Virginia’s and Anthony’s retirement plans both earn interest at a rate of 6% per year, compounded annually, then what is the difference in the future value of their savings when your parents turn 65? (e.g., FW(Virginia)-FW(Anthony))  Round your answer to the nearest dollar.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 32P
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Engineering Econ:

 

You’re looking at your parents’ retirement plans and studying the differences between their saving habits. On her thirty-first birthday, your mother Virginia invested $1,500 into her employer’s retirement plan, and she makes annual $1,500 payments for 10 years, so that her total contribution (principal) is $15,000. Your mother then stops making payments into her plan and keeps her money in the savings plan, untouched for 25 more years until retirement at age 65. Your father Anthony starts putting money aside on his forty-sixth birthday, when he deposits $2,000, and he continues these annual payments for 20 years until he reaches 65 years old. Thus, Anthony’s contributed principal amounts to $40,000 over this period of time. If Virginia’s and Anthony’s retirement plans both earn interest at a rate of 6% per year, compounded annually, then what is the difference in the future value of their savings when your parents turn 65? (e.g., FW(Virginia)-FW(Anthony)) 

Round your answer to the nearest dollar.

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