Andrea M.

asked • 12/11/15

when anthony starts work at age 22, he decides that he is going to put $350 away in a fund every month.

he expects the interest rate he can earn to be 7/6%. after 50 years of working, he retires. he takes the total value of his investment and invests it in a fund that earns 8.8%. he is going to receive monthly payments for the next 15 years. to the nearest dollar, determine the monthly payment he will be able to receive.

1 Expert Answer

By:

Atif Z. answered • 12/11/15

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Atif Z.

So here we are the interest calculation can be done in two ways.
 
Anthony starts work at age 22.
He Retires at the age 50.
 
Years he worked = 50 - 22 = 28 years.
 
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12/11/15

Atif Z.

Every month he invested $350/month.
For 28 years.....
 
Investment at 50 years (at retirement) :
 
($350/month ) * (12 months/year) * (28 years) = $117,600 funds saved.
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12/11/15

Atif Z.

Interest made in these 28 years:
 
($350/month) * (0.076/month interest) * (12 month/year) * 28 years
 
= $8,937.60 interest made at retirement. 
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12/11/15

Atif Z.

Anthony's total funds available at retirement:
 
Total funds = saving + interest
 
total funds = $117,600 + $8,937.6
 
total funds = $126,537.6
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12/11/15

Atif Z.

New investment at retirement for next 15 years at 8.8% interest.
 
Monthly payments received = 
 
total_funds * monthly_interest
 
Monthly payments received = $126,537.6 * 0.088 
 
Monthly payments received = $11,135.31
 
OR
 
Monthly payments received = 
 
(total_funds * annual_interest * number_of_years)/ (per_month)
 
Monthly funds received = (if 8.8% interest is per month)
 
($126,537.6 * 0.088 * 12 months/year * 15 years ) / ( 15 years * 12 months/year)
 
monthly payments received = $11,135.31
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12/11/15

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