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: | $ |
2. A third option has surfaced for equipment
purchased from an out-of-state supplier. The cost is also $560,000,
but this equipment will produce even cash flows over its 5-year
life. What must the annual cash flow be for this equipment to be
selected over the other two? Assume a 16% discount rate.
$ per year
Part 1: Net Present Value
Net Present Value = Discounted cash Inflow - Discounted cash Outflow |
Puro Equipment
Year |
Cash Flow $ |
PVF @ 16% |
Discounted cash flow $ |
1 | 320,000 | 0.86207 | 275,862 |
2 | 280,000 | 0.74316 | 208,085 |
3 | 240,000 | 0.64066 | 153,758 |
4 | 160,000 | 0.55229 | 88,366 |
5 | 120,000 | 0.47611 | 57,133 |
0 | (560,000) | 1 | (560,000) |
Net Present Value | 223,204 |
Briggs Equipment
Year |
Cash Flow $ |
PVF @ 16% |
Discounted cash flow $ |
1 | 120,000 | 0.86207 | 103,448 |
2 | 120,000 | 0.74316 | 89,179 |
3 | 320,000 | 0.64066 | 205,011 |
4 | 400,000 | 0.55229 | 220,916 |
5 | 440,000 | 0.47611 | 209,488 |
0 | (560,000) | 1 | (560,000) |
Net Present Value | 268,042 |
Part 2: Annual cash flow
NPV = Present value of annual cash inflows - Initial Investment |
Investment = $560,000
Cumulative present value factor for 5 Years @ 16% = 3.27429
$268,044 = Annual cash inflow * PVF of an annuity (16%,5) - $560,000
Cash Inflow * 3.27429 = $828,044
Annual Cash flow = $828,044 / 3.27429 = $252,893 |
Note:
1. Briggs equipment is selected for calculating third option equipment,s annual cash flow. Because, its NPV is more than the Puro equipment's NPV.
2. NPV of new option should be at least more than NPV of Briggs equipment. So, new option is taken as $268,044.
All the best...