123k views
1 vote
Liam is considering putting money in an investment plan that will pay him $52,000 in 12 years. If Liam's opportunity cost rate is 7 percent compounded annually, what is the maximum amount he should be willing to pay for the investment today?

1 Answer

4 votes

Answer:

$23,088.62

Step-by-step explanation:

We must determine the present value of Liam's investment discounted by his opportunity cost rate. The present value formula is:

PV = FV / (1 + r)ⁿ

  • FV = $52,000
  • r = 7%
  • n = 12

PV = $52,000 / (1 + 7%)¹² = $52,000 / 2.2522

PV = $23,088.62

User Drpng
by
7.9k points