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What is the PV of an ordinary annuity with 5 annual payments of $10,000 each if the appropriate annual interest rate is 6%?

a. $44,701.94
b. $42,123.64
c. $45,595.98
d. $42,966.11
e. $43,825.44

User Groucho
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1 Answer

3 votes

Final answer:

The present value of an ordinary annuity is calculated using a specific formula involving the annual payment, the interest rate, and the number of payments. With an annual payment of $10,000, a 6% interest rate, and 5 payments, you can use the PV annuity formula to find the correct PV.

Step-by-step explanation:

The present value (PV) of an ordinary annuity can be calculated using the formula for the present value of an annuity:

PV = C x [1 - (1 + r)^-n] / r

Where C is the annual payment, r is the annual interest rate, and n is the number of payments.

Using the given values:

  • C = $10,000 (Annual Payment)
  • r = 0.06 (6% Annual Interest Rate)
  • n = 5 (Number of Payments)

Let's calculate the present value:

PV = $10,000 x [1 - (1 + 0.06)^-5] / 0.06

After solving, you would get the present value of the ordinary annuity. The correct answer should match one of the options provided in the multiple-choice question, which can be calculated using a financial calculator or spreadsheet software.

User Kieranties
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