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Ian deposits $2,400 each quarter for 3 years. The annuity earns 10% interest and is compounded quarterly....

22. Ian deposits $2,400 each quarter for 3 years. The annuity earns 10% interest and is compounded quarterly. Find the present value of the annuity.
Using the Present Value of Ordinary Annuity Table, the correct factor for 12 compounding periods at 2.5% interest is 10.25776.
$24,618.62
$6,859.25
$10,257.76
$16,352.86

Answer

Answer: To find the present value of the annuity, use the formula:

PV = PMT × PVIFA

Where:

  • PV = Present Value
  • PMT = Payment per period ($2,400)
  • PVIFA = Present Value Interest Factor of Annuity

Given that the correct factor for 12 compounding periods at 2.5% interest is 10.25776, we calculate:

PV = $2,400 × 10.25776 = $24,618.62

Therefore, the present value of the annuity is $24,618.62.

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