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The future value of the quarterly annuity compounded every quarter is $75,401.26.

What is the future value of the quarterly annuity?

The formula that can be used to determine the future value of the quarterly annuity is: Amount x annuity factor

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

Where:

  • r = interest rate = 12% / 4 = 3%
  • n = number of years = 10 years x number of compounding = 10 x 3 = 30 years

Annuity factor ={ [(1.03)^40] - 1/} 0.03 = 75.401260

Future value = 75.401260 x 1000 = $75,401.26.

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