Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you just received your salary of $55,000 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 9 percent of your annual salary in an account that will earn 10 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

Question

Business

Jayleen Richmond

25 September, 18:17

Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you just received your salary of $55,000 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 9 percent of your annual salary in an account that will earn 10 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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Answers (1)

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Joel Robertson · Answer 1

The amount after 40 years = $3,058,897.36

Explanation:

As per the data given in the question,

For next year, Sum deposit = $55,000 * (1+3%) * 9%

= $5,098.5

Accumulated amount = First year payment: (rate of return - growth rate) * ((1+rate of return) ∧no. of years - (1 + growth rate) ∧no. of years

= $5098.5 : (10% - 3%) * ((1+10%) ^40 - (1 + 3%) ^40)

= $3,058,897.36

Hence, The amount after 40 years = $3,058,897.36