Every year, you receive your entire annual salary at the end of the year. This year, your end-of-year salary will be $50,000 (in nominal terms). In real terms, you expect your salary to increase at a rate of 2% per year in the future. You have decided to start saving for retirement by putting money in a savings account. You plan to retire in 35 years, and you expect to live for 25 years after that. You assess that a reasonable lifestyle during those 25 years will require you to have, at the end of every year, a disposable income of $25,000 in real terms (i.e. the same purchasing power as $25,000 today). The nominal interest rate on your savings account is 8%, and it is expected to stay at that rate forever. The real interest rate is also expected to stay at its current level of 3.5%. How much money (in nominal terms) will you need to have in your savings account when you retire, in 35 years (end of year 35), in order to be able to enjoy the lifestyle that you find reasonable? HINT: First calculate the amount that you will need in real terms.

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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Every year, you receive your entire annual salary at the end of the year. This year, your end-of-year salary will be $50,000 (in nominal terms). In real terms, you expect your salary to increase at a rate of 2% per year in the future. You have decided to start saving for retirement by putting money in a savings account. You plan to retire in 35 years, and you expect to live for 25 years after that. You assess that a reasonable lifestyle during those 25 years will require you to have, at the end of every year, a disposable income of $25,000 in real terms (i.e. the same purchasing power as $25,000 today). The nominal interest rate on your savings account is 8%, and it is expected to stay at that rate forever. The real interest rate is also expected to stay at its current level of 3.5%. How much money (in nominal terms) will you need to have in your savings account when you retire, in 35 years (end of year 35), in order to be able to enjoy the lifestyle that you find reasonable? HINT: First calculate the amount that you will need in real terms.
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