The initial investment is of $400,000 for buying a new machine. This machine has a life of 8 years and no salvage value. The cost of capital is 14 percent.
If the present value of cash inflows is PVCi and the present value of cash outflows is PVCo, the net present value NPV is given by:
NPV = PVCi - PVCo.
The amount invested in the machine is $400,000. The cash inflow over the next 8 years is $100,000. The present value of the cash inflow in year t is given by (Cash flows)/( 1+r)^t with interest rate 14%.
PVCi = 100000*(1/1.14+1/1.14^2+...1/1.14^8)
NPV = 463886.4 - 400000
Therefore, the net present value is $63886.4