In: Finance
NPV and maximum return: A firm can purchase new equipment for a $21,000 initial investment. The equipment generates an annual after-tax cash inflow of $8,000 for 55 years.
a. Determine the net present value (NPV) of the asset, assuming that the firm has a cost of capital of 12%. Is the project acceptable?
b. Determine the maximum required rate of return that the firm can have and still accept the asset.
Please show and explain work!
Net Present Value(NPV)= Present value of cash inflows - Present value of cash outflows
The decision Criterion for Accept/Reject :
NPV>0 Accept the proposal
NPV<0 Reject the proposal
NPV=0 Accept/Reject the proposal i.e Indifferent point.
Step 1: Calculation of the present value of cash inflows
Annual cash flows after tax = $ 8000
Present value annuity factor PVAF (12%, 55 years) = 8.317 (For calculation see: Image attached)
The present value of cash inflows = Annual cash inflows after tax*PVAF (12%, 55 years)
= $ 8000*8.317
= $ 66536
Step 2: Present value of cash out flows = $ 21000
Step 3: NPV = Present value of cash inflows - Present value of cash outflows
NPV = $ 66536 - $ 21000
NPV = $ 45536
Decision: Since NPV is > 0 accept the proposal.
2. Calculation of maximum rate of return i.e, Internal rate of return (IRR)