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 $377,600 with a 6-year life and no salvage value. It will be depreciated on a straight-line basis. The company expects to sell 151,040 units of the equipment’s product each year. The expected annual income related to this equipment follows.
Sales | $ | 236,000 | |
Costs | |||
Materials, labor, and overhead (except depreciation on new equipment) | 83,000 | ||
Depreciation on new equipment | 62,933 | ||
Selling and administrative expenses | 23,600 | ||
Total costs and expenses | 169,533 | ||
Pretax income | 66,467 | ||
Income taxes (40%) | 26,587 | ||
Net income | $ | 39,880 | |
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.)
Annual net income = $39,880
Annual depreciation expense = $62,933
Annual cash inflow = Annual net income + Annual depreciation expense
= 39,880+62,933
= $102,813
Present value of cash inflows = Annual cash inflow x Present value of annuity factor (i%,n)
= 102,813 x Present value of annuity factor (9%,6)
= 102,813 x 4.48592
= 461,211
Initial investment = $377,600
Net present value = Present value of cash inflows - Initial investment
= 461,211-377,600
= $83,611
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