In: Accounting
B2B Co. is considering the purchase of equipment that would
allow the company to add a new product to its line. The equipment
is expected to cost $380,800 with a 10-year life and no salvage
value. It will be depreciated on a straight-line basis. The company
expects to sell 152,320 units of the equipment’s product each year.
The expected annual income related to this equipment
follows.
Sales | $ | 238,000 | |
Costs | |||
Materials, labor, and overhead (except depreciation on new equipment) | 83,000 | ||
Depreciation on new equipment | 38,080 | ||
Selling and administrative expenses | 23,800 | ||
Total costs and expenses | 144,880 | ||
Pretax income | 93,120 | ||
Income taxes (40%) | 37,248 | ||
Net income | $ | 55,872 | |
If at least an 9% return on this investment must be earned, compute
the net present value of this investment. (PV of $1, FV of $1, PVA
of $1, and FVA of $1) (Use appropriate factor(s) from the
tables provided.)
Present value of cash inflow = Annual cash inflows * Present value of an annuity (8%, 12 years)
=$93952 * 6.4177 = $602955
NPV = PV of Cash Inflows - Investment
=$602955 -$380800
= $222155
Workings
Calculation of Net Annual Cash Flow
Net Income - $55872
Depreciation - $38080
Net Cash Inflow - $93952
Calculation of PV:-
Year | ||
1 | 1/(1+0.09)^1 | 0.9174 |
2 | 1/(1+0.09)^2 | 0.8417 |
3 | 1/(1+0.09)^3 | 0.7722 |
4 | 1/(1+0.09)^4 | 0.7084 |
5 | 1/(1+0.09)^5 | 0.6499 |
6 | 1/(1+0.09)^6 | 0.5963 |
7 | 1/(1+0.09)^7 | 0.5470 |
8 | 1/(1+0.09)^8 | 0.5019 |
9 | 1/(1+0.09)^9 | 0.4604 |
10 | 1/(1+0.09)^10 | 0.4224 |
6.4177 |