To calculate the present value of annual cash flow of $57,000 at 14% rate of return for 6 years,
we need the present value of annuity of $1 at 14% rate of interest discounted for 6 years.
The present value of annuity of $1 discounted at 14% interest for 6 years = 3.889.
Calculate the present value of annuity of $57,000 at 14% interest discounted for 6 years as follows:
Present Value = Annual cash inflow value ×Annuity value= $57,000×3.889=$221,673">Present Value === Annual cash inflow value ×Annuity value $57,000×3.889$221,673Present Value = Annual cash inflow value ×Annuity value= $57,000×3.889=$221,673
Calculate the net present value of the machine.
Present value of the annual cash flow = $221,673
Present value of the cash outflow(cost of the machine) = $ 218,500
hence, net present value =Present value of cash inflow-Present value of cash outflow=$221,673-$218,500=$3,173">hence, net present value ===(Present value of cash inflow−Present value of cash outflow)$221,673−$218,500$3,173hence, net present value =Present value of cash inflow-Present value of cash outflow=$221,673-$218,500=$3,173