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6. You have 45 years left until retirement and want to retire with $4 million. Your salary is paid annually, and you will receive $50,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn an annual return of 9 percent on the money you invest. If you save a constant percentage of your salary, what percentage of your salary must you save each year?

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Answer:

Instructions are listed below.

Explanation:

Giving the following information:

You have 45 years left until retirement and want to retire with $4 million. Your salary is paid annually, and you will receive $50,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn an annual return of 9 percent on the money you invest.

n= 45

FV= 4,000,000

i= 9% + 3%= 12%

We need to use the following formula:

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

A= annual deposit

Isolating A:

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

A= (4,000,000*0.12)/{(1.12^45)-1}= $2,945

5.89% per year.

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