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Making Capital Investment Decisions,Chapter 9,9.1,Key Concepts and Skills,Understand how to determine the relevant cash flows for a proposed investmentUnderstand how to analyze a projects projected cash flowsUnderstand how to evaluate an estimated NPV,9.2,Chapter Outline,Project Cash Flows: A First LookIncremental Cash FlowsPro Forma Financial Statements and Project Cash FlowsMore on Project Cash FlowEvaluating NPV EstimatesScenario and Other What-If AnalysesAdditional Considerations in Capital Budgeting,9.3,Relevant Cash Flows,The cash flows that should be included in a capital budgeting analysis are those that will only occur if the project is acceptedThese cash flows are called incremental cash flowsThe stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows,9.4,Asking the Right Question,You should always ask yourself “Will this cash flow occur ONLY if we accept the project?”If the answer is “yes”, it should be included in the analysis because it is incrementalIf the answer is “no”, it should not be included in the analysis because it will occur anywayIf the answer is “part of it”, then we should include the part that occurs because of the project,9.5,Common Types of Cash Flows,Sunk costs costs that have accrued in the pastOpportunity costs costs of lost optionsSide effectsPositive side effects benefits to other projectsNegative side effects costs to other projectsChanges in net working capitalFinancing costsTaxes,9.6,Pro Forma Statements and Cash Flow,Capital budgeting relies heavily on pro forma accounting statements, particularly income statementsComputing cash flows refresherOperating Cash Flow (OCF) = EBIT + depreciation taxesOCF = Net income + depreciation when there is no interest expenseCash Flow From Assets (CFFA) = OCF net capital spending (NCS) changes in NWC,9.7,Table 9.1 Pro Forma Income Statement,9.8,Table 9.2 Projected Capital Requirements,9.9,Table 9.5 Projected Total Cash Flows,9.10,Making The Decision,Now that we have the cash flows, we can apply the techniques that we learned in chapter 8Enter the cash flows into the calculator and compute NPV and IRRCF0 = -110,000; C01 = 51,780; F01 = 2; C02 = 71,780NPV; I = 20; CPT NPV = 10,648CPT IRR = 25.8%Should we accept or reject the project?,9.11,The Tax Shield Approach,You can also find operating cash flow using the tax shield approachOCF = (Sales costs)(1 T) + Depreciation*TThis form may be particularly useful when the major incremental cash flows are the purchase of equipment and the associated depreciation tax shield such as when you are choosing between two different machines,9.12,More on NWC,Why do we have to consider changes in NWC separately?GAAP requires that sales be recorded on the income statement when made, not when cash is receivedGAAP also requires that we record cost of goods sold when the corresponding sales are made, regardless of whether we have actually paid our suppliers yetFinally, we have to buy inventory to support sales although we havent collected cash yet,9.13,Depreciation,The depreciation expense used for capital budgeting should be the depreciation schedule required by the IRS for tax purposesDepreciation itself is a non-cash expense, consequently, it is only relevant because it affects taxesDepreciation tax shield = DTD = depreciation expenseT = marginal tax rate,9.14,Computing Depreciation,Straight-line depreciationD = (Initial cost salvage) / number of yearsVery few assets are depreciated straight-line for tax purposesMACRSNeed to know which asset class is appropriate for tax purposesMultiply percentage given in table by the initial costDepreciate to zeroMid-year convention,9.15,After-tax Salvage,If the salvage value is different from the book value of the asset, then there is a tax effectBook value = initial cost accumulated depreciationAfter-tax salvage = salvage T(salvage book value),9.16,Example: Depreciation and After-tax Salvage,You purchase equipment for $100,000 and it costs $10,000 to have it delivered and installed. Based on past information, you believe that you can sell the equipment for $17,000 when you are done with it in 6 years. The companys marginal tax rate is 40%. What is the depreciation expense each year and the after-tax salvage in year 6 for each of the following situations?,9.17,Example: Straight-line Depreciation,Suppose the appropriate depreciation schedule is straight-lineD = (110,000 17,000) / 6 = 15,500 every year for 6 yearsBV in year 6 = 110,000 6(15,500) = 17,000After-tax salvage = 17,000 - .4(17,000 17,000) = 17,000,9.18,Example: Three-year MACRS,BV in year 6 = 110,000 36,663 48,884 16,302 8,151 = 0,After-tax salvage = 17,000 - .4(17,000 0) = $10,200,9.19,Example: Seven -Year MACRS,BV in year 6 = 110,000 15,719 26,939 19,239 13,739 9,823 9,823 = 14,718,After-tax salvage = 17,000 - .4(17,000 14,718) = 16,087.20,9.20,Example: Replacement Problem,Original MachineInitial cost = 100,000Annual depreciation = 9000Purchased 5 years agoBook Value = 55,000Salvage today = 65,000Salvage in 5 years = 10,000,New MachineInitial cost = 150,0005-year lifeSalvage in 5 years = 0Cost savings = 50,000 per year3-year MACRS depreciationRequired return = 10%Tax rate = 40%,9.21,Replacement Problem Computing Cash Flows,Remember that we are interested in incremental cash flowsIf we buy the new machine, then we will sell the old machineWhat are the cash flow consequences of selling the old machine today instead of in 5 years?,9.22,Replacement Problem Pro Forma Income Statements,9.23,Replacement Problem Incremental Net Capital Spending,Year 0Cost of new machine = 150,000 (outflow)After-tax salvage on old machine = 65,000 - .4(65,000 55,000) = 61,000 (inflow)Incremental net capital spending = 150,000 61,000 = 89,000 (outflow)Year 5After-tax salvage on old machine = 10,000 - .4(10,000 10,000) = 10,000 (outflow because we no longer receive this),9.24,Replacement Problem Cash Flow From Assets,9.25,Replacement Problem Analyzing the Cash Flows,Now that we have the cash flows, we can compute the NPV and IRREnter the cash flowsCompute NPV = 54,812.10Compute IRR = 36.28%Should the company replace the equipment?,9.26,Evaluating NPV Estimates,The NPV estimates are just that estimatesA positive NPV is a good start now we need to take a closer lookForecasting risk how sensitive is our NPV to changes in the cash flow estimates, the more sensitive, the greater the forecasting riskSources of value why does this project create value?,9.27,Scenario Analysis,What happens to the NPV under different cash flows scenarios?At the very least look at:Best case revenues are high and costs are lowWorst case revenues are low and costs are highMeasure of the range of possible outcomesBest case and worst case are not necessarily probable, they can still be possible,9.28,Sensitivity Analysis,What happens to NPV when we vary one variable at a timeThis is a subset of scenario analysis where we are looking at the effect of specific variables on NPVThe greater the volatility in NPV in relation to a specific variable, the larger the forecasting risk associated with that variable and the more attention we want to pay to its estimation,9.29,New Project Example,Consider the project discussed in the textThe initial cost is $200,000 and the project has a 5-year life. There is no salvage. Depreciation is straight-line, the required return is 12% and the tax rate is 34%The base case NPV is 15,567,9.30,Summary of Scenario Analysis,9.31,Summary of Sensitivity Analysis,9.32,Making A Decision,Beware “Paralysis of Analysis”At some point you have to make a decisionIf the majority of your scenarios have positive NPVs, then you can feel reasonably comfortable about accepting the projectIf you have a crucial variable that l

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