In: Finance
New-Project Analysis
The president of the company you work for has asked you to evaluate the proposed acquisition of a new chromatograph for the firm’s R&D department. The equipment's basic price is $60,000, and it would cost another $15,000 to modify it for special use by your firm. The chromatograph, which falls into the MACRS 3-year class, would be sold after 3 years for $27,000. The MACRS rates for the first 3 years are 0.3333, 0.4445 and 0.1481. Use of the equipment would require an increase in net working capital (spare parts inventory) of $2,400. The machine would have no effect on revenues, but it is expected to save the firm $18,000 per year in before-tax operating costs, mainly labor. The firm's marginal federal-plus-state tax rate is 30%.
Year 1 | $ |
Year 2 | $ |
Year 3 | $ |
a.Initial Investment Outlay = Base Price + Modification cost + Increase in Working Capital | |||
=-60,000-15,000-2,400 | |||
(77,400) | since outflow | ||
b.Annual Cash Flows: | |||
Year 1 | 2 | 3 | |
Savings in Cost | 18,000 | 18,000 | 18,000 |
Less: Depreciation | 24,998 | 33,338 | 11,108 |
Net Savings | -6,998 | -15,338 | 6,893 |
Less: Tax @30% | -2,099.25 | -4,601.25 | 2,067.75 |
Income after Tax | -4,898.25 | -10,736.25 | 4,824.75 |
Add: Depreciation | 24,998 | 33,338 | 11,108 |
Operating Cash Flow | 20,099.25 | 22,601.25 | 15,932.25 |
Add: After tax salvage value | 20,567.25 | ||
Recovery of Working capital | 2,400 | ||
Additional cash flows | 22,967.25 | ||
Annual Cash flows | 20,099.25 | 22,601.25 | 38,899.50 |
Written down value | 5,558 | ||
Sale price | 27000 | ||
Gain on sale | 21,443 | ||
Tax | 6432.75 | ||
After tax salvage value | 20567.25 | ||
c.NPV = Present value of cash inflows – present value of cash outflows | |||
= 20,099.25*PVF(13%, 1 year) + 22601.25*PVF(13%, 2 years) + 38,899.50*PVF(13%, 3 years) – 77400 | |||
-14953.65433 | |||
No, should not be purchased (since NPV is negative) |