In: Finance
Norwest is planning on purchasing a welding machine. The
expected cost of this machine is $60,000, and it is expected to
have a useful life of 7 years with an estimated salvage value of
$4,000. The machine is expected to produce cash savings of $20,000
per year in reduced labor costs and the cash operating costs to run
this machine are estimated to be $6,000 per year. Assuming Norwest
is in the 34% tax bracket and has a minimum desired rate of return
of 14% on this investment.
Determine the payback period, the accounting rate of
return, and the net present value for this investment. (Indicate
answers to 2 decimal places)
Solution)
| Tax rate | 34% | Discount Rate | 14% | ||||||||
| Time Peroid | 7 | ||||||||||
| Cash Outlay | 60000 | ||||||||||
| Salvage Value | 4000 | ||||||||||
| Depreciation Each Peroid | 8000 | ||||||||||
| Investment Outlays at Time Zero: | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
| Equipment | $ 60,000 | ||||||||||
| Operating Cash Flows over the Project's Life: | |||||||||||
| Sales revenue | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 | $ 20,000 | ||||
| Fixed operating costs | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | ||||
| Depreciation (equipment) | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | ||||
| Oper. income before taxes (EBIT) | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | $ 6,000 | ||||
| Taxes on operating income (34%) | $ 2,040 | $ 2,040 | $ 2,040 | $ 2,040 | $ 2,040 | $ 2,040 | $ 2,040 | ||||
| Net Operating Profit After Taxes (NOPAT) | $ 3,960 | $ 3,960 | $ 3,960 | $ 3,960 | $ 3,960 | $ 3,960 | $ 3,960 | ||||
| Add back depreciation | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | $ 8,000 | ||||
| Operating cash flow | $ 11,960 | $ 11,960 | $ 11,960 | $ 11,960 | $ 11,960 | $ 11,960 | $ 11,960 | ||||
| Terminal Year Cash Flows: | |||||||||||
| Net salvage value | 0 | ||||||||||
| Net Cash Flow (Time line of cash flows) | ($60,000) | $11,960 | $11,960 | $11,960 | $11,960 | $11,960 | $11,960 | $11,960 | |||
| Net Present Value (at 14%) | -$8,712 | ||||||||||
| Payback (See calculation below) | 5.02 | ||||||||||
| Data for Payback Years | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
| Net cash flow | -60,000 | 11,960 | 11,960 | 11,960 | 11,960 | 11,960 | 11,960 | 11,960 | |||
| Cumulative CF | -60,000 | -48,040 | -36,080 | -24,120 | -12,160 | -200 | 11,760 | 23,720 | |||
| Part of year required for payback: | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 0.02 | 0.00 | ||||