Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you received your salary of $52,000 and you plan to spend all of it. However, you want to start saving for retirement beginning next year. You have decided that one year from today you will begin depositing 10 percent of your annual salary in an account that will earn 9.2 percent per year. Your salary will increase at 3 percent per year throughout your career. How much money will you have on the date of your retirement 40 years from today?

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Business

Gauge Fleming

2 February, 18:28

Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you received your salary of $52,000 and you plan to spend all of it. However, you want to start saving for retirement beginning next year. You have decided that one year from today you will begin depositing 10 percent of your annual salary in an account that will earn 9.2 percent per year. Your salary will increase at 3 percent per year throughout your career. How much money will you have on the date of your retirement 40 years from today?

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Ally Kemp · Answer 1

Final Value = $4,216,869

Explanation:

Giving the following information:

You have decided that one year from today you will begin depositing 10 percent of your annual salary in an account that will earn 9.2 percent per year. Your salary will increase at 3 percent per year throughout your career. Your salary is $52,000

Your retirement is in 40 years.

We need to use the following formula:

FV = {A*[ (1+i) ^n-1]}/i

A=annual payment = 5,200

i = 9.2% interest + 3% year increase = 12.2%

n=40

FV = {5,200*[ (1.122^40) - 1]}/0.122

FV = $4,216,869