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Title: Ch11. Project Analysis and Evaluation


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Ch11. Project Analysis and Evaluation
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1) Scenario and other what-if analyses
  • Actual cash flows and projected cash flows.
  • Forecasting risks (estimation risks) errors in
    projected cash flows will lead to incorrect
    decisions.
  • (1) Scenario analysis.
  • In order to handle the possible errors in
    estimating cash flows, re-estimate cash flows or
    others under various circumstances/economic
    scenario.

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  • Ex) The project costs 200,000 and has a 5-year
    life. It does not have salvage value.
    Straight-line depreciation is applied. The
    required rate is 12 and tax rate is 34

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  • 2) Sensitivity analysis
  • Analysis to figure out a key determinant to
    estimates in analysis, assuming other variables
    are constant.
  • Among the variables, sale is usually found more
    significant than others.

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  • 3) Simulation analysis
  • A combination of scenario and sensitivity
    analyses.
  • 4) Break-Even Analysis
  • Variable costs (VC) costs that change when the
    quantity of output changes. Ex) direct labor
    costs and raw material costs.
  • VC v Q

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  • Fixed costs (FC) costs that do not change when
    the quantity of output changes during a
    particular time period.
  • Total costs VC FC v Q FC
  • Marginal or incremental costs change in costs
    that occurs when there is a small change in
    output.
  • 5) Accounting Break-Even
  • A tool for analyzing the relationship between
    sales volume and profitability.
  • Sales or quantity making EBIT (or Net Income
    without considering interest) equal to zero.

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  • EBIT Sale VC FC D
  • Net Income (Sale VC FC D) (1-t)
  • If EBIT or Net Income 0, then Sale VC FC-D s
    q - v q FC D 0.
  • q (FC D) / (s - v).
  • 6) Operating cash flow, sales volume and
    break-even.

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  • Ex) Wettyway sailboat CO considering whether to
    launch its new Margo-class sailboat.
  • The selling price will be 40,000 per boat.
  • Variable cost per boat is 20,000.
  • Annual Fixed costs is 500,000.
  • Total investment to launch the project is
    3,500,000. It would be depreciated straight line
    to zero over five years.
  • Salvage value is zero.
  • There are no working capital consequences.
  • 20 required rate of return on new project is
    expected.
  • Wettyway forecasts about 85 boat sales in a year.
  • Ignore tax

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  • Operating cash flow EBIT depreciation tax
    (Sale Variable costs Fixed costs
    Depreciation) Depreciation - 0
  • 85(40,000-20,000)-500,000 1,200,000 per
    year.
  • NPV with 20 and 5 year
  • 1,200,000(1-1/(10.2)5)/0.2-3,500,000 88,735

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  • Break-even (FC D) / (p - v) (500,000
    3,500,000/5) / (40,000-20,000) 60.
  • Thus this project looks good.
  • At break even,
  • 1) operating cash flow under assumptions is only
    depreciation. OCF 60(40,000-20,000)-500,000
    -3,500,000/5 3,500,000/5 700,000.
  • NPV with 20 -1,406,572.
  • 2) IRR 0.
  • Ex) 3,500,000 700,000/(1IRR)
    700,000/(1IRR)2 .700,000/(1IRR)5.
  • 3) Life of the project is a payback period.
  • Thus if a project s performance is better than
    break even, IRR would be positive and payback
    period is shorter than the life of the project.

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  • 7) Relationship between operating cash flows and
    break even point (quantityq).
  • OCF (Sale Variable costs Fixed costs
    Depreciation) Depreciation Tax (ignored)
    (p-v) q FC
  • q (FC OCF) / (p-v), What does it mean?
  • Here (1) accounting break-even (q) means zero net
    income or EBIT. In that case, OCF is a
    depreciation.
  • q (500,000 3,500,000/5) / (40,000-20,000) 60
  • (2) Cash break-even (q) means the sales level
    that results in a zero OCF. q covers only Fixed
    costs. In that case OCF is 0.
  • q (500,000 0) / (40,000-20,000) 25

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  • (3) Financial break-even (q) mean zero NPV.
  • In order to calculate financial break-even, at
    first we have to calculate a periodic payment of
    an annuity (operating cash flows) that would make
    PV of the annuity equal to initial investment.
  • 3,500,000 payment (1-1/(1.25))/0.2
  • Payment (operating cash flow) 1,170,329
  • q (500,000 1,170,329) / (40,000-20,000) 83.5
  • Thus financial break-even is much higher than
    accounting break-even.

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  • 8) Operating leverage.
  • Def the degree to which a project or firm is
    committed to fixed production costs.
  • The fixed costs can act like a lever in the sense
    that small change in revenue can be magnified
    into a large percentage change in operating cash
    flow and NPV.
  • The higher the degree of operating leverage, the
    greater the forecasting risk.
  • Thus managers try to reduce the operating
    leverage through outsourcing the project.

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  • How to measure the operating leverage, degree of
    operating leverage (DOL)?
  • Percentage change in OCF DOL Percentage
    change in q. Here OCF (Sale Variable costs
    Fixed costs Depreciation) Depreciation Tax
    (ignored) (p-v) q FC. Thus one unit change
    in q will increase (p-v) in OCF.
  • Percentage change in OCF DOL Percentage
    change in q.
  • (p-v) / OCF DOL 1 / q
  • DOL (p-v) q / OCF
  • Here, OCF FC (p-v) q
  • Thus DOL 1 FC / OCF

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  • Ex) Wettyway sail boat case, at q 50.
  • DOL 1500,000/(40,000-20,000) 50-500,000)
    2.
  • It means that at q50 level, 1 increase in
    quantity will increase 2 in OCF.

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  • Here operating degree of operating leverage (DOL)
    is influenced by fixed and variable costs.
    Depending on a choice of subcontracting projects,
    fixed and variable costs changes and then DOL
    will change too.

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  • 9) Capital Rationing The situation that exists
    if a firm has positive NPV projects but can not
    find the necessary financing.
  • Soft rationing The situation that occurs when
    units in a business are allocated a certain
    amount of financing for capital budgeting.
  • Hard rationing The situation that occurs when a
    business can not raise financing for a project
    under any circumstances.
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