Question

Attempts: Do No Harm: /2 4. Analysis of a replacement project At times firms will need to decide if they want to continue to use their current equipment or replace the equipment with newer equipment. The company will need to do replacement analysis to determine which option is the best financial decision for the company. Price Co. is considering replacing an existing piece of equipment. The project involves the following: period of six years (years • The new equipment will have a cost of $1,800,000, and it will be depreciated on a straight-line basis over 1-6). • The old machine is also being depreciated on a straight-line basis. It has a book value of $200,000 (at year 0) and four more years of depreciation left ($50,000 per year). • The new equipment will have a salvage value of $0 at the end of the project's life (year 6). The old machine has a current salvage value (at year 0) of $300,000. • Replacing the old machine will require an investment in net working capital (NOWC) of $45,000 that will be recovered at the end of the project's life (year 6). • The new machine is more efficient, so the firm's incremental earnings before interest and taxes (EBIT) will increase by a total of $400,000 in each of the next six years (years 1-6). Hint: This value represents the difference between the revenues and operating costs (including depreciation expense) generated using the new equipment and that earned using the old equipment. • The project's cost of capital is 13%. • The company's annual tax rate is 35%.

Answer 1

Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year o -1800000 Initial Investment EBIT 400000 400000 400000 400000 400000 140000 87500 140000 87500 400000 140000 87500 140000 87500 140000 105000 140000 105000 - Taxes + A Depreciation XT + Salvage Value Tax on Salvage NOWC + Recapture of NOWC Total Free Cash Flow 300000 35000 45000 45000 410000 -1580000 347500 347500 347500 347500 365000 New Depreciation = Initial Investment / Useful Life New Depreciation = $1,800,000 / 6 = $300,000 Year 1 - Year 4: A Depreciation XT = (New Depreciation - Old Depreciation) x Tax Rate A Depreciation XT = ($300,000 - $50,000) X 35% = $87,500 Year 5 - Year 6: A Depreciation XT = (New Depreciation - Old Depreciation) x Tax Rate A Depreciation XT = ($300,000 - $0) x 35% = $105,000 Taxon Salvage = Tax Rate * (Salvage Value - Book Value) Tax on Salvage = 35%* ($300,000 - $200,000) = $35,000 Required Rate of Return = 13% NPV = $1,580,000 + $347,500/1.13 +$347,500/1.13^2 + $347,500/1.1343 + $347,500/1.13^4 +$365,000/1.1345 + $410,000/1.1346 NPV = -$151,333 The net present value (NPV) of this replacement project is $151,333