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The Basics of Capital Budgeting.13-14st

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    1

    The Basics of Capital Budgeting:

    Evaluating and Estimating Cash

    FlowsCorporate FinanceDr. A. DeMaskey

    Should we

    build this

    plant?

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    2

    Learning Objectives

    Questions to be answered:

    What is capital budgeting?

    How are investments classified?What methods are used to rank projects?

    What are the relevant cash flows of a project?

    What principles underlie the estimation of cashflows?

    What types of cash flows must be considered whenevaluating a proposed project?

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    3

    Capital Budgeting

    Investment decision making process, which involvesfixed assets.

    Capital

    Capital budget

    Long-term decisionsSizable cash outlays

    Difficult to reverse Important to firms future

    Profitability

    Growth and Survival

    Future direction

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    4

    The Five Stages of Capital

    Budgeting

    Stage 1: Investment screening and selection

    Stage 2: Capital budgeting proposal

    Stage 3: Budget approval and authorization

    Stage 4: Project tracking

    Stage 5: Post completion audit

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    Project Classification

    According to economiclife:

    Short-term

    Long-term

    According to risk:Replacement projects

    Expansion projectsNew products andmarkets

    Mandated projects

    According to dependence on

    other projects:

    Independent projectsMutually exclusive projects

    Contingent projects

    Complementary projects

    According to cash flows:

    Normal cash flow projects

    Nonnormal cash flow projects

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    Steps

    1. Estimate the CFs (inflows & outflows).

    2. Assess the riskiness of the CFs.3. Determine the appropriate discount rate, k =

    WACC for project.

    4. Find NPV and/or IRR.

    5. Accept if NPV > 0 and/or IRR > WACC.

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    Investment Evaluation

    Techniques

    Payback Period (PB)

    Discounted Payback

    Net Present Value (NPV)

    Profitability Index (PI)

    Internal Rate of Return (IRR)Modified Internal Rate of Return (MIRR)

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    Characteristics of an Evaluation

    Technique

    Considers all future incremental cash flows from

    a project.

    Considers the time value of money.

    Considers the uncertainty associated with future

    cash flows.

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    Payback Period

    The length of time it takes to recover the initial

    investment outlay.

    Equal cash flows

    Unequal cash flows

    Payoff or capital recovery period

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    Evaluation of Payback Period

    Strengths

    Provides an indication of a projects risk and

    liquidity.Easy to calculate and understand.

    Weaknesses

    Ignores the TVM.Ignores CFs occurring after the payback period.

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    Discounted Payback Period

    Uses discounted rather than raw CFs.

    The length of time it takes to recover the

    projects investment in terms of discounted cashflows, where the discount rate is the cost of

    capital.

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    Evaluation of Discounted

    Payback Period

    Strengths

    Considers the time value of money.

    Considers the riskiness of the cash flows involved inthe payback.

    Weaknesses

    Requires estimate of cost of capital.Ignores cash flows beyond the payback.

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    Net Present Value (NPV)

    The sum of the present value of all expected

    cash flows, where the discount rate is the cost of

    capital.

    Cost often is CF0and is negative.

    NPV CF

    kt

    nt

    t 0 1 .

    .CFk1CF

    NPV0t

    t

    n

    1t

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    Rationale for NPV Method

    NPV = PV inflowsCost

    = Net gain in wealth.

    Accept project if NPV > 0.

    Choose between mutually exclusive projects on

    basis of higher NPV. Adds most value.

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    Evaluation of NPV

    Strengths

    Tells whether firm value is increased.

    Considers all cash flows.Considers the time value of money.

    Considers the riskiness of future cash flows.

    WeaknessesRequires estimate of cost of capital.Expressed in terms of dollars, not as a percentage.

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    Net Present Value Profile

    Graphical depiction of the NPV for different

    discount rates.

    Downward sloping

    Slightly curved

    Crossover discount rate

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    Profitability Index (PI)

    Ratio of the present value of the change in

    operating cash flows to the present value of the

    investment cash outflow.

    PI vs. NPV

    0

    1 1

    CF

    k

    CF

    PI

    n

    t

    t

    t

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    Rationale for PI Method

    PI = PV inflows / Cost

    = Benefit-cost ratio

    Accept project if PI > 1

    Useful in case of capital rationing

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    Evaluation of PI Method

    Strengths

    Tells whether firm value is increased.

    Considers all cash flows.Considers the time value of money.

    Considers the riskiness of future cash flows.

    WeaknessesRequires estimate of cost of capital.May not give correct decision for mutually exclusiveprojects.

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    Internal Rate of Return

    The discount rate that forces PV inflows = cost. This isthe same as forcing NPV = 0.

    NPV: Enter k, solve for NPV.

    IRR: Enter NPV = 0, solve for IRR.

    Annualized yield on an investment.

    t

    nt

    t

    CF

    kNPV

    0 1 .

    tn

    t

    tCFIRR

    0 1 0.

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    Rationale for IRR Method

    If IRR > WACC, then the projects rate of return

    is greater than its cost -- some return is left over

    to boost stockholders returns.Example: WACC = 10%, IRR = 15%. Profitable.

    IRR acceptance criteria:

    If IRR > k, accept project.

    If IRR < k, reject project.

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    IRR vs. NPV

    Ranking conflict for mutually exclusive projects

    Reinvestment rate assumption

    NPV assumes reinvest at k (opportunity cost of capital). IRR assumes reinvest at IRR.

    Reinvest at opportunity cost, k, is more realistic, so NPVmethod is best. NPV should be used to choose betweenmutually exclusive projects.

    Causes: Different timing in cash flows

    Scale differences

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    Evaluation of IRR Method

    StrengthsTells whether firm value is increased.

    Considers all cash flows.

    Considers the time value of money.Considers the riskiness of future cash flows.

    WeaknessesRequires estimate of cost of capital.

    May not give value-maximizing decisions for mutually exclusiveprojects.

    May not give value-maximizing decisions under capital rationing.

    May produce multiple IRRs.

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    Modified Internal Rate of Return

    (MIRR)

    The discount rate which causes the PV of a

    projects terminal value (TV) to equal the PV of

    costs. TV is found by compounding inflows atWACC.

    The internal rate of return on a project assuming

    that cash inflows are reinvested at somespecified rate.

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    MIRR vs. IRR

    MIRR correctly assumes reinvestment at

    opportunity cost = WACC. MIRR also avoids the

    problem of multiple IRRs.Managers like rate of return comparisons, and

    MIRR is better for this than IRR.

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    Evaluation of MIRR Method

    StrengthsTells whether firm value is increased.

    Considers all cash flows.

    Considers the time value of money.

    Considers the riskiness of future cash flows.

    Weaknesses

    May not give value-maximizing decisions for mutuallyexclusive projects.

    May not give value-maximizing decisions under capitalrationing.

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    Capital Budgeting in Practice

    IRR is most commonly used. Managers like

    rates -- prefer IRR to NPV comparisons.

    More than one evaluation technique is used.

    NPV is used most often.

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    Principles of Estimating Cash

    Flows

    Incremental Cash Flows

    After-Tax Cash Flows

    Ignore Sunk Costs

    Include the Opportunity Cost

    Include Externalities

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    Assumptions

    End-of period cash flows

    Project assets are purchased and put to work

    immediately

    Equally-risky cash flows

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    Types of Cash Flows

    Initial Investment Outlay

    Operating Cash Flows

    Terminal Cash Flows

    Net Cash Flows

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    0 1 2 3 4

    Initial

    Outlay

    OCF1 OCF2 OCF3 OCF4

    + TerminalCF

    NCF0 NCF1 NCF2 NCF3 NCF4

    Project Cash Flows

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    Net Investment

    Cost of Asset

    + Shipping Costs

    + Installation CostsPLUS

    Increase/decrease in Working Capital

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    Operating Cash Flows

    Method 1:

    DOCF = (DR -DE - DD)(1 - T) + DD

    Method 2:DOCF = (DR - DE)(1 - T) + DDT

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    Terminal Cash Flows

    Funds Realized from Sale of New Asset

    + Tax Consequences from the Sale of

    the Asset

    PLUS

    Recovery of Net Working Capital

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    Real vs. Nominal Cash Flows

    In DCF analysis, k includes an estimate of

    inflation.

    If cash flow estimates are not adjusted forinflation (i.e., are in todays dollars), this will bias

    the NPV downward.

    This bias may offset the optimistic bias ofmanagement.

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    Multinational Capital Budgeting

    Foreign operations are taxed locally, and then

    funds repatriated may be subject to U.S. taxes.

    Foreign projects are subject to political risk.

    Funds repatriated must be converted to U.S.

    dollars, so exchange rate risk must be taken into

    account.


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