In: Finance
eBook
The Oviedo Company is considering the purchase of a new machine to replace an obsolete one. The machine being used for the operation has a book value and a market value of zero. However, the machine is in good working order and will last at least another 10 years. The proposed replacement machine will perform the operation so much more efficiently that Oviedo's engineers estimate that it will produce an increase in after-tax cash flows (labor savings and depreciation) of $6,000 per year. The new machine will cost $35,000 delivered and installed, and its economic life is estimated to be 10 years. It has zero salvage value. The firm's WACC is 10%, and its marginal tax rate is 35%. Should Oviedo buy the new machine? |
Time line | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |||
Cost of new machine | -35000 | |||||||||||||
=Initial Investment outlay | -35000 | |||||||||||||
100.00% | ||||||||||||||
Depreciation | Cost of equipment/no. of years | -3500 | -3500 | -3500 | -3500 | -3500 | -3500 | -3500 | -3500 | -3500 | -3500 | 0 | =Salvage Value | |
=after tax operating cash flow | 6000.00 | 6000.00 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | ||||
+Tax shield on salvage book value | =Salvage value * tax rate | 0 | ||||||||||||
=Terminal year after tax cash flows | 0 | |||||||||||||
Total Cash flow for the period | -35000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | 6000 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.1 | 1.21 | 1.331 | 1.4641 | 1.61051 | 1.771561 | 1.9487171 | 2.1435888 | 2.357948 | 2.593742 | ||
Discounted CF= | Cashflow/discount factor | -35000 | 5454.5455 | 4958.6777 | 4507.8888 | 4098.0807 | 3725.5279 | 3386.8436 | 3078.948709 | 2799.0443 | 2544.586 | 2313.26 | ||
NPV= | Sum of discounted CF= | 1867.40 |
Buy new machine as NPV is positive