Ch2.1 Capital Budgeting Techniques

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    Capital Budgeting Decisions

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    NATURE OF INVEST DECISIONS

    Invest decisions also known as Capital

    Budgeting decisions

    It may be defined as firms decision to invest

    its current funds most efficiently in the long-

    term assets in anticipation of an expected flow

    of benefits over a series of years.

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    FEATURES

    Exchange of current funds for future benefits

    Funds are invested in long-term assets

    The future benefits will occur to the firm over a series

    of years

    In invest analysis it is CF which is imp not the

    accounting profit.

    IMPORTANCE OF INVEST DECISIONS

    They influence the firms growth in long term

    They affect the risk of the firm

    They involve commitment of large amt of funds

    They are irreversible

    They are among the most difficult decisions to make

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    TYPES OF INVEST DECISIONS

    One way of classifying

    Expansion & diversification

    Replacement & modernisation

    Another way of classifying

    Mutually exclusive investments

    Independent investments

    Contingent investments

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    INVEST EVALUATION CRITERIA

    Steps

    Estimation of CFs

    Estimation of required rate of return

    Application of decision rule for making the choice

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    CAPITAL BUDGETING METHODS IN

    PRACTICE

    In a survey of 14 cos it found out that all

    except one use payback method. With

    payback 2/3rd use IRR and 2/5th NPV. IRR was

    second most popular method.

    DCF methods were secondary because of

    difficulty in understanding and using the

    techniques, lack of qualified professionals andunwillingness of top mgmt to use DCF

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    NET PRESENT VALUE METHOD

    It is a DCF technique

    Accept-Reject Rule Accept the project if NPV > 0

    Reject the project if NPV < 0

    May accept the project if NPV = 0

    If projects are mutually exclusive then one with

    higher NPV shd be selected.

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    Advantages

    Time value

    Measure of true profitability ( considers all CFs)

    Valueadditivity [ NPV(A+B) = NPV (A) = NPV (B) ]

    Shholder value (consistent with SWM)

    Limitations

    CF estimation (uncertainty)

    Discount rate Mutually exclusive projects with unequal lives or

    under funds constraint

    Ranking of projects not independent of dis rate

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    INTERNAL RATE OF RETURN METHOD

    IRR is the rate that equates invest outlay withthe present value of cash inflow received after

    one period.

    IRR is the discount rate which makes the NPV

    zero.

    Accept-Reject Rule

    (IRR=r & Opportunity cost of capital = k) Accept the project when r > k

    Reject the project when r < k

    May accept the project when r = k

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    Advantages

    Time value

    Profitability measure (all CFs considered)

    Acceptance rule (same as NPV)

    Shholders value (consistent with SWM Obj)

    Demerits

    Multiple rates

    Mutually exclusive projects

    Value additivity (IRR cannot be added)

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    PROFITABILITY INDEX METHOD

    PI also known as BCR, is the ratio of the

    present value of cash inflows to the initial cash

    outflow.

    Accept-Reject Rule

    Accept project when PI > 1

    Reject project when PI < 1

    May accept the project when PI = 1

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    Advantages

    Time value

    Value maximisation (consistent with SWM obj)

    Relative profitability (ratio i.e. relative measure)

    Demerits

    Cash flow estimation

    Discount rate

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    PAYBACK METHOD

    It is the no of years req to recover the original

    cash outlay invested in a project.

    Accept-Reject Rule

    Project would be accepted if the projects payback

    is less than the standard payback decided by the

    mgmt.

    It gives highest ranking to the project which has

    the shortest payback.

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    Merits

    Simplicity

    Cost effective

    Risk shield (risk can be tackled by having a shorter

    std payback period)

    Liquidity (emphasis is on recovery)

    Limitations

    Cash flow after payback ignored

    Cash flow patterns (magnitude & timings of CFs

    ignored) Administrative difficulty (deciding std payback)

    Inconsistent with shholders value maximisation

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    Payback reciprocal and the rate of return

    Payback reciprocal is a good approximation of the

    rate of return when

    The life of the project is large or at least twice the

    payback period

    The project generates equal annual cash inflows

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    DISCOUNTED PAYBACK PERIOD

    METHOD

    It is the no of periods taken in recovering the

    invest outlay on the present value basis.

    But it still fails to consider the cash flows

    occurring after the payback period.

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    ACCOUNTING RATE OF RETURN

    METHOD

    It is also known as return on Investment.

    It is the ratio of the average after tax profit

    divided by the average investment.

    Accept-Reject Rule

    Accept those projects whose ARR is greater than

    min rate decided by the mgmt and vice versa.

    Highest ARR project would be ranked no1.

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    Merits

    Simplicity Accounting data

    Entire stream of profits

    Demerits

    CFs ignored

    Time value ignored Arbitrary cut-off

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    NPV V/S IRR EQUIVALENCE OF NPV & IRR

    In case of Conventional Independent Projects,

    NPV and IRR will result in same accept or reject

    decision if the firm is not constrained for funds.

    NON CONVENTIONAL INVEST: PROBLEM OFMULTIPLE IRRs

    The no of rates of return depends on the no of

    times the sign of the CF stream changes.

    No of adaptations of the IRR criterion are there to

    take care of multiple IRR problem but not very

    satisfactory. Hence best alternative is NPV

    method.

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    MUTUALLY EXCLUSIVE PROJECTS: NPV AND

    IRR WILL GIVE CONFLICTING RANKINGS

    BECAUSE

    CF pattern of project may differ

    Initial invest of projects may differ

    Projects may have diff expected lives

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    CF pattern of projects may differ:

    Fishers intersection rate

    Compare NPV of mutually exclusive projects andchoose one with larger NPV

    Incremental Approach

    Series of incremental CFs may result inve and +ve CFsand it would result in problem multiple rate of return

    and we would revert back to NPV method

    Initial Investment of Projects NPV method shd be used

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    Projects life span

    NPV rule can be used to choose since it is always

    consistent with SWM.

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    REINVEST ASSUMPTION AND

    MODIFIED IRR

    NPV & IRR are assumed to rest on an

    underlying implicit assumption about reinvest

    of the CFs generated during the lifetime of the

    project.

    The source of conflict lies in their diff implicit

    reinvest rates.

    The MIRR is the compound average annual

    rate that is calculated with a reinvest rate diff

    than the projects IRR.

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    All do not accept the implicit reinvest

    assumption vis--vis the IRR. They do not

    consider it valid. The IRR is a time-adjusted percentage of the

    principal amt outst and it is independent of how

    CFs are received and utilised. The reason for the ranking conflict bet the IRR

    and NPV rules lies in the diff timing of the

    projects CFs rather than in the wrongly

    conceived reinvestment assumption.

    VARYING OPPORTUNITY COST OF

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    VARYING OPPORTUNITY COST OF

    CAPITAL

    If the opportunity cost of capital varies overtime, the use of the IRR rule creates problems,

    as there is not a unique benchmark

    opportunity cost of capital to compare with

    IRR.

    To get a comparable opportunity cost one will

    have to compute weighted average of these

    opportunity costs. This is tedious

    There is no problem in using NPV method

    each CF can be discounted by the relevant

    opportunity cost of capital.

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    NPV V/s PI

    NPV method shd be preferred except under

    capital rationing because the net present

    value represents the net increase in the firmswealth.