In: Accounting
Net Present Value and Competing Projects
For discount factors use Exhibit 12B.1 and Exhibit 12B.2.
Spiro Hospital is investigating the possibility of investing in
new dialysis equipment. Two local manufacturers of this equipment
are being considered as sources of the equipment. After-tax cash
inflows for the two competing projects are as follows:
Year | Puro Equipment | Briggs Equipment | ||
1 | $320,000 | $120,000 | ||
2 | 280,000 | 120,000 | ||
3 | 240,000 | 320,000 | ||
4 | 160,000 | 400,000 | ||
5 | 120,000 | 440,000 |
Both projects require an initial investment of $560,000. In both cases, assume that the equipment has a life of 5 years with no salvage value.
Required:
Round present value calculations and your final answers to the nearest dollar.
1. Assuming a discount rate of 16%, compute the net present value of each piece of equipment.
Puro equipment: | $ |
Briggs equipment: | $ |
Answer)
Calculation of Net Present Value
Net Present Value = Present value of cash inflows – Present value of cash outflows
Puro Equipment:
Net Present Value = $ 783,205 - $ 560,000
= $ 223,205
Briggs Equipment:
Net Present Value = $ 828,043 - $ 560,000
= $ 268,043
Working Note:
Calculation of Present value of cash inflows (Puro Equipment):
Year |
Cash Inflows |
Present Value factor at 16% |
Present value |
1 |
$320,000 |
0.86207 |
$275,862.40 |
2 |
$280,000 |
0.74316 |
$208,084.80 |
3 |
$240,000 |
0.64066 |
$153,758.40 |
4 |
$160,000 |
0.55229 |
$88,366.40 |
5 |
$120,000 |
0.47611 |
$57,133.20 |
Total |
$783,205.20 |
Present value of cash inflow of Puro Equipment is $ 783,205 (approx.)
Calculation of Present value of cash inflows (Briggs Equipment):
Year |
Cash Inflows |
Present Value factor at 16% |
Present value |
1 |
$120,000 |
0.86207 |
$103,448.40 |
2 |
$120,000 |
0.74316 |
$89,179.20 |
3 |
$320,000 |
0.64066 |
$205,011.20 |
4 |
$400,000 |
0.55229 |
$220,916.00 |
5 |
$440,000 |
0.47611 |
$209,488.40 |
Total |
$828,043.20 |
Present value of cash inflow of Briggs Equipment is $ 828,043 (approx.)