Question

You buy an annuity which will pay you $12,000 a year for ten years. The payments are paid on the first day of each year. What is the value of this annuity today at a 7% discount rate?

Answer 1

Answer:

PV of annuity due = $90,182.8 (Approx.)

Explanation:

Given:

Payment per year = $12,000

Number of year = 10

Interest rate = 7% = 0.07

Find:

PV of annuity due

Computation:

PV of annuity due = P + P[{1-(1+r)⁻⁽ⁿ⁻¹)/r]

PV of annuity due = 12,000 + 12,000[{1-(1+0.07)⁻⁽¹⁰⁻¹)/0.07]

PV of annuity due = $90,182.8 (Approx.)