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The town of Millbridge has just agreed to pay a pension for the town clerk. The pension will be $40,000 per year for the next 20 years. Dwight Ives, the town manager, has decided that the town should put aside enough money today to pay for the entire pension. He has argued that the town will not receive the clerk's services in the future, so future taxpayers should not have to pay the pension. How much must be put aside, assuming the town earns 6 percent compounded annually

Respuesta :

The amount that must be put aside now is $458,796.85.

How much should be put aside now?

The first step is to determine the future value of the annuity:

Future value = yearly payment x annuity factor

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

Where:

  • r = interest rate = 6%
  • n = number of years = 20

$40,000 x [(1.06^20) - 1] / 0.06 = $1,471,423.65

Now, determine the present value of this amount:  $1,471,423.65 / (1.06^20) =$458,796.85

To learn more about present value, please check: https://brainly.com/question/26537392

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