Question
Pinto.com has developed a powerful new server that would be used for corporations Internet activities. It would cost $25 million at Year 0 to buy
Pinto.com has developed a powerful new server that would be used for corporations Internet activities. It would cost $25 million at Year 0 to buy the equipment necessary to manufacture the server. The project would require net working capital at the beginning of each year in an amount equal to 12% of the years projected sales; for example, NWC0 = 12%(Sales1 ). The servers would sell for $21,000 per unit, and Pinto believes that variable costs would amount to $15,000 per unit. After Year 1, the sales price and variable costs will increase at the inflation rate of 2.5%. The companys nonvariable costs would be $1.5 million at Year 1 and would increase with inflation. The server project would have a life of 4 years. If the project is undertaken, it must be continued for the entire 4 years. Also, the projects returns are expected to be highly correlated with returns on the firms other assets. The firm believes it could sell 2,000 units per year. The equipment would be depreciated over a 5-year period, using MACRS rates. The estimated market value of the equipment at the end of the projects 4-year life is $1 million. Pinto.coms federal-plus-state tax rate is 20%. Its cost of capital is 10% for average-risk projects, defined as projects with a coefficient of variation of NPV between 0.8 and 1.2. Low-risk projects are evaluated with an 8% project cost of capital and high-risk projects at 13%.
Q.Now conduct a scenario analysis. Assume that there is a 25% probability that best-case conditions, with each of the variables discussed in Part b being 20% better than its base-case value, will occur. There is a 25% probability of worst-case conditions, with the variables 20% worse than base, and a 50% probability of base-case conditions.
Q.Now conduct a sensitivity analysis to determine the sensitivity of NPV to changes in the sales price, variable costs per unit, and number of units sold. Set these variables values at 10% and 20% above and below their base-case values.
Q.If the project appears to be more or less risky than an average project, find its risk-adjusted NPV, IRR, and payback.
Q.On the basis of information in the problem, would you recommend the project should be accepted?
N Year 2 3 Annual Sales quantity (Units) 2,000 2,000 2,000 2,000 b Sales Price per unit $21,000 $21,525 $22,063 $22,615 Grab Annual Revenue $42,000,000 $43,050,000 $44,126,250 $45,229,406 d Unit Variable Cost $15,000 $15,375 $15,759 $16,153 esad Annual Variable Cost -$30,000,000 $30,750,000 $31,518,750 $32,306,719 f Fixed Costs (Excluding Depreciation) -$1,500,000 -$1,537,500 -$1,575,938 -$1,615,336 8 Depreciation expenses -$5,000,000 -$8,000,000 -$4,800,000 -$2,880,000 h=c+e+f+g Income before tax $5,500,000 $2,762,500 $6,231,562 $8,427,352 i=h*20% Tax Expenses -$1,100,000 -$552,500 $1,246,313 -$1,685,470 j=hti NET INCOME $4,400,000 $2,210,000 $4,985,250 $6,741,881 k Add:Depreciation (Non Cash expenses) $5,000,000 $8,000,000 $4,800,000 $2,880,000 X=j+k Annual Operating Cash Flow $9,400,000 $10,210,000 $9,785,250 $9,621,881 Y Csh flow for equipment -$25,000,000 Working Capital Needed (12% of next year Revenue) $5,040,000 $5,166,000 $5,295,150 $5,427,529 SO w Working Capital Cash Flow -$5,040,000 -$126,000 -$129,150 -$ 132,379 $5,427,529 S Salvage Cash Flow $1,664,000 CF=X+Y+W+S NET CASH FLOW -$30,040,000 $9,274,000 $10,080,850 $9,652,871 $16,713,410 CUMULATIVE NET CASH FLOW -$30,040,000 $20,766,000 $10,685,150 -$1,032,279 $15,681,131 SUM PV=CF/(1.1^N) PRESENT VALUE OF NET CASH FLOW -$30,040,000 $8,430,909 $8,331,281 $7,252,345 $11,415,484 $5,390,019 NPV=SUM of PVNET PRESENT VALUE $5,390,019 Payback Period Period at which Cumulative cash flow=NIL Payback Period =(3+(1032279/16713410) 3.06 YEARS IRR (Using IRR function of excel) 17.30% - N Year 2 3 Annual Sales quantity (Units) 2,000 2,000 2,000 2,000 b Sales Price per unit $21,000 $21,525 $22,063 $22,615 Grab Annual Revenue $42,000,000 $43,050,000 $44,126,250 $45,229,406 d Unit Variable Cost $15,000 $15,375 $15,759 $16,153 esad Annual Variable Cost -$30,000,000 $30,750,000 $31,518,750 $32,306,719 f Fixed Costs (Excluding Depreciation) -$1,500,000 -$1,537,500 -$1,575,938 -$1,615,336 8 Depreciation expenses -$5,000,000 -$8,000,000 -$4,800,000 -$2,880,000 h=c+e+f+g Income before tax $5,500,000 $2,762,500 $6,231,562 $8,427,352 i=h*20% Tax Expenses -$1,100,000 -$552,500 $1,246,313 -$1,685,470 j=hti NET INCOME $4,400,000 $2,210,000 $4,985,250 $6,741,881 k Add:Depreciation (Non Cash expenses) $5,000,000 $8,000,000 $4,800,000 $2,880,000 X=j+k Annual Operating Cash Flow $9,400,000 $10,210,000 $9,785,250 $9,621,881 Y Csh flow for equipment -$25,000,000 Working Capital Needed (12% of next year Revenue) $5,040,000 $5,166,000 $5,295,150 $5,427,529 SO w Working Capital Cash Flow -$5,040,000 -$126,000 -$129,150 -$ 132,379 $5,427,529 S Salvage Cash Flow $1,664,000 CF=X+Y+W+S NET CASH FLOW -$30,040,000 $9,274,000 $10,080,850 $9,652,871 $16,713,410 CUMULATIVE NET CASH FLOW -$30,040,000 $20,766,000 $10,685,150 -$1,032,279 $15,681,131 SUM PV=CF/(1.1^N) PRESENT VALUE OF NET CASH FLOW -$30,040,000 $8,430,909 $8,331,281 $7,252,345 $11,415,484 $5,390,019 NPV=SUM of PVNET PRESENT VALUE $5,390,019 Payback Period Period at which Cumulative cash flow=NIL Payback Period =(3+(1032279/16713410) 3.06 YEARS IRR (Using IRR function of excel) 17.30%Step by Step Solution
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