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Use NPV and IRR analysis to decide whether ToysRus should purchase a new molding

ID: 2793738 • Letter: U

Question

Use NPV and IRR analysis to decide whether ToysRus should purchase a new molding machine that costs $127,000. Information about the project:

– Installation will cost $20,000.

– $4,000 in net working capital will be needed at the time of installation.

– The project will increase revenues by $85,000 per year, but operating costs will increase by 35% of the revenue increase.

– Simplified straight line depreciation is used.

– Class life is 5 years, and the firm is planning to keep the project for 5 years.

– Salvage value at year 5 will be $50,000.

– Firms with similar risk as ToysRushave required return of 14%.

– 34% marginal tax rate.

Find Initial Outlay, Annual Cash flows, Terminal Cash flows using their formulas

Explanation / Answer

Initial Outlay = 127,000 + 4,000 + 20,000 = 151,000

Annual Cash Flows = Profits + Depreciation = 17061 + 147,000 / 5 = 46,461

Terminal Cash Flows = Annual Cash Flows + NWC + After-tax Salvage = 46,461 + 4,000 + 50,000 x (1 - 34%) = 83,461

In excel, IRR = IRR(-151000....83461) = 20.78%

NPV = NPV(14%, 46461...83461) - 151000 = $27,721.02

As the NPV > 0, IRR > 14%, ToysRu should purchase the machine.

ToysRU 0 1 2 3 4 5 Investment -147000 NWC -4000 4000 Salvage 50000 Revenues 85000 85000 85000 85000 85000 Costs -29750 -29750 -29750 -29750 -29750 Depreciation -29400 -29400 -29400 -29400 -29400 EBT 25850 25850 25850 25850 25850 Tax (34%) -8789 -8789 -8789 -8789 -8789 Profits 17061 17061 17061 17061 17061 Cash Flows -151000 46461 46461 46461 46461 83461 IRR 20.78% NPV $27,721.02
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