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serg [7]
2 years ago
15

You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $3500 per mont

h. You have access to an account that pays an APR of 4.8% compounded monthly. This requires a nest egg of $610,823.48.
What monthly deposits are required to achieve the desired monthly yield at retirement? (Round your answer to the nearest cent.)
Mathematics
1 answer:
CaHeK987 [17]2 years ago
7 0

The monthly deposit that is required to achieve the desired monthly yield at retirement is $1,056.71.

<h3>What is the monthly deposit?</h3>

An annuity is a series of payment that is made over a period of time. The annuity in this question would last for 25 years. When an investment is compounded monthly, it means that the investment would grow at an exponential rate once in a month.

The formula that would be used to determine the monthly payment is:

Monthly payment = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r  = monthly interest rate = 4.8% / 12 = 0.4%
  • n = number of periods = number of compounding x number of years: 12 x 25 = 300

$610,823.48 ÷ [{(1.004^300) - 1} / 0.004] = $1,056.71

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

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