The appropriate discount rate for the following cash flows is 8 percent compounded quarterly.
Year Cash Flow
1 $ 870
2 950
3 0
4 1,540
What is the present value of the cash flows?

Respuesta :

Answer:

Total PV= $2,736.39

Explanation:

Giving the following information:

Year Cash Flow

1 $ 870

2 950

3 0

4 1,540

First, we need to calculate the real annual discount rate:

Quarterly Discount rate= 0.08/4= 0.02

Real annual interest rate= [(1+i)^n] - 1

Real annual interest rate= [(1.02^4) - 1]

Real annual interest rate= 0.08243

Now, we can calculate the present value of the cash flows:

PV= Cf/(1+i)^n

Year 1= 870/1.08243= 803.75

Year 2= 950/1.08243^2= 810.82

Year 4= 1,540/1.08243^4= 1,121.82

Total PV= $2,736.39

ACCESS MORE