Question

The appropriate discount rate for the following cash flows is 8 percent compounded quarterly. YearCash Flow 1 $800 2 800 3 0 4 1,200 What is the present value of the cash flows

Answer 1

Total PV= $2,298.24

Step-by-step explanation:

First, we need to determine the effective annual rate:

EAR= [1 + (i/n)]^n - 1

EAR= [1 + (0.08/4)]^4 - 1

EAR= 0.082

Now, we can determine the present value of the cash flow, using the following formula:

PV= ∑[Cf/(1+i)^n]

Cf1= 800 / 1.082= 739.37

Cf2= 800 / 1.082^2= 683.34

Cf3= 0

Cf4= 1,200 / 1.082^4= 875.53

Total PV= $2,298.24