You are considering expanding your product line that currently consists of skateboards to include gas-powered skateboards,...

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You are considering expanding your product line that currentlyconsists of skateboards to include gas-powered skateboards, and youfeel you can sell 12000 of these per year for 10 years (after whichtime this project is expected to shut down with solar-poweredskateboards taking over). The gas skateboards would sell for $110each with variable costs of $25 for each one produced, and annualfixed costs associated with production would be $150000. Inaddition, there would be a $1 comma 400000 initial expenditureassociated with the purchase of new production equipment. It isassumed that this initial expenditure will be depreciated using thesimplified straight-line method down to zero over 10 years. Theproject will also require a one-time initial investment of $ 40000in net working capital associated with inventory, and this workingcapital investment will be recovered when the project is shut down.Finally, assume that the firm's marginal tax rate is 38 percent. a.What is the initial cash outlay associated with this project? b.What are the annual net cash flows associated with this project foryears 1 through 9 ? c. What is the terminal cash flow in year 10(that is, what is the free cash flow in year 10 plus any additionalcash flows associated with termination of the project)? d. What isthe project's NPV given a required rate of return of 13 percent ?a. The initial cash outlay associated with this project is $1440000. (Round to the nearest dollar.) b. The annual net cashflows associated with this project for years 1 through 9 are ?

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4.1 Ratings (435 Votes)

Time line 0 1 2 3 4 5 6 7 8 9 10
Cost of new machine -1400000
Initial working capital -40000
=a. Initial Investment outlay -1440000
Unit sales 12000 12000 12000 12000 12000 12000 12000 12000 12000 12000
Profits =no. of units sold * (sales price - variable cost) 1020000 1020000 1020000 1020000 1020000 1020000 1020000 1020000 1020000 1020000
Fixed cost -150000 -150000 -150000 -150000 -150000 -150000 -150000 -150000 -150000 -150000
-Depreciation Cost of equipment/no. of years -140000 -140000 -140000 -140000 -140000 -140000 -140000 -140000 -140000 -140000
=Pretax cash flows 730000 730000 730000 730000 730000 730000 730000 730000 730000 730000
-taxes =(Pretax cash flows)*(1-tax) 452600 452600 452600 452600 452600 452600 452600 452600 452600 452600
+Depreciation 140000 140000 140000 140000 140000 140000 140000 140000 140000 140000
=after tax operating cash flow b. 592600 592600 592600 592600 592600 592600 592600 592600 592600 592600
reversal of working capital 40000
+Tax shield on salvage book value =Salvage value * tax rate 0
=Terminal year after tax cash flows 40000
Total Cash flow for the period -1440000 592600 592600 592600 592600 592600 592600 592600 592600 592600 c. 632600
Discount factor= (1+discount rate)^corresponding period 1 1.13 1.2769 1.442897 1.63047361 1.8424352 2.0819518 2.352605 2.658444 3.004042 3.394567
Discounted CF= Cashflow/discount factor -1440000 524424.7788 464092.725 410701.526 363452.678 321639.54 284636.76 251890.9 222912.3 197267.6 186356.6
d. NPV= Sum of discounted CF= 1787375

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Transcribed Image Text

You are considering expanding your product line that currentlyconsists of skateboards to include gas-powered skateboards, and youfeel you can sell 12000 of these per year for 10 years (after whichtime this project is expected to shut down with solar-poweredskateboards taking over). The gas skateboards would sell for $110each with variable costs of $25 for each one produced, and annualfixed costs associated with production would be $150000. Inaddition, there would be a $1 comma 400000 initial expenditureassociated with the purchase of new production equipment. It isassumed that this initial expenditure will be depreciated using thesimplified straight-line method down to zero over 10 years. Theproject will also require a one-time initial investment of $ 40000in net working capital associated with inventory, and this workingcapital investment will be recovered when the project is shut down.Finally, assume that the firm's marginal tax rate is 38 percent. a.What is the initial cash outlay associated with this project? b.What are the annual net cash flows associated with this project foryears 1 through 9 ? c. What is the terminal cash flow in year 10(that is, what is the free cash flow in year 10 plus any additionalcash flows associated with termination of the project)? d. What isthe project's NPV given a required rate of return of 13 percent ?a. The initial cash outlay associated with this project is $1440000. (Round to the nearest dollar.) b. The annual net cashflows associated with this project for years 1 through 9 are ?

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