Question

An investment offers $5,800 per year, with the first payment occurring one year from now. The required return is 7 percent. a. What would the value be today if the payments occurred for 20 years?

Answer 1

Answer:

$61,445.20

Explanation:

we need to determine the present value of an annuity, and the simplest to determine this is by using annuity factors:

number of payments = 20

interest rate = 7%

annuity payment = $5,800

present value of the annuity = $5,800 x 10.594 (PV factor, 7%, n= 20) = $61,445.20

if we do not have an annuity table at hand (or in the internet), the formula used to calculate the annuity factor is:

annuity factor = [1 - 1/(1 + r)ⁿ] / r