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    INVESTMENTAND PROJECT

    APPRAISALPrepared by: Kha Pham1

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    CHAPTEROBJECTIVES

    The methods of project appraisal: accounting rateof return, payback and discounted cash flow

    The concepts of time preference, the opportunitycost of finance and the cost of capital

    Relevant cash flows

    Net present value and internal rate of returnmethods

    The implications of taxation and inflation indiscounted cash flow

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    I. STEPSINPROJECTAPPRAISALDecision making and control cycle:

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    GROUP DISCUSSION

    Imagine you were Starbucks top managers. Thecorporation planned to open the second Starbuckstore in Vietnam, following their successful operationof the first one in Ho Chi Minh City.

    Appraise the potentials of this project in Hanoi andDanang City and make your conclusion!

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    METHODSOFPROJECTAPPRAISAL

    1. The accounting rate of return: calculates theaccounting profit (rather than cash flow) that willbe earned by a project and expresses this as apercentage of the capital invested in the project

    2. Payback period: Calculates the length of time aproject will take to recoup the initial investment,based on cash flows

    3. Discounted cash flow (DCF):

    i. Net present value method (NPV)

    ii. Internal rate of return (IRR)5

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    NON-FINANCIALFACTORS

    Legal

    Ethical

    Changes to regulations

    Political Quality implication

    Personnel

    Coherence

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    II. ACCOUNTINGRATEOFRETURN

    =

    100

    Estimated average profits = Average annual cash flows

    Estimated average investment = +

    2

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    ARR EXAMPLE

    ABC Limited is now choosing between twoalternatives of machine for the upcoming project:

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    Machine A Machine B

    Cost $15,000 $15,000Estimated Scrap value $3,000 $4,000

    Estimated life 3 years 3 years

    Estimated future cash flows

    Year 1 $4,000 $5,000

    Year 2 $7,000 $7,000

    Year 3 $7,000 $3,500

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    A ($) B ($)Total Cash flows 18,000 15,500Total depreciation 12,000 11,000Total profit after depreciation 6,000 4,500Average profit (3 years) 2,000 1,500Value of investment initially 15,000 15,000Eventual residual value 3,000 4,000

    18,000 19,000Average value of investment (/2) 9,000 9,500

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    ARR for:A22%B16%Machine A is preferred!

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    III. PAYBACKPERIOD

    Gives greater weight to cash flows generated inearlier years

    The length of time required before the total cashinflows are equal to the original cash outlay

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    Machine P Machine Q

    Cost $10,000 $10,000

    Estimated future cash flows

    Year 1 $3,000 $5,000

    Year 2 $4,000 $7,000

    Year 3 $4,000 $3,500

    Year 4 $2,000 $2,000

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    IV. TIMEVALUEOFMONEY

    The value of money (purchasing power) today isdifferent from the value of money in the future!

    For example, a $1,000 saving in a bank gives you$1,100 in one year

    The interest rate is 10%

    The two amounts have the same purchasing power tothe owner who expects the 10% interest!

    In other words, $1,100 is the future value of $1,000 inone year!

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    V. DISCOUNTINGANDCOMPOUNDINTEREST

    Simple interest: = (1 )

    Compound interest: = (1 )

    Discounting: Compounding in reverse

    =

    ( 1 )

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    VI. DISCOUNTEDCASHFLOW

    A technique of evaluating capital investmentprojects, using discounting arithmetic to determinewhether or not they will provide a satisfactory return

    Ignore Depreciation

    Only deal with Cash!

    Can be used in two ways

    Net Present Value (NPV)

    Internal Rate of Return (IRR)

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    NETPRESENTVALUE(NPV)

    The sum of all present value of cash flows (bothoutflow/ initial outlay and inflow) over the period ofthe project

    If NPV > 0: PV of benefits > PV of cost so theproject earns higher return than the cost of capitalshould be accepted!

    If NPV < 0: PV of benefits < PV of cost so theproject earns lower return than the cost of capitalshould be rejected!

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    NPV EXAMPLE

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    Project A

    Outlay cost $15,000

    Estimated future cash flowsYear 1 $4,000

    Year 2 $7,000

    Year 3 $7,000

    Discount rate/ Cost of capital/Required rate of return

    10%

    Evaluate the following project

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    Year Cash

    flow

    Present value

    factor

    Present value

    $ 10% $

    0 (15,000) 1.000 (15,000)

    1 4,000 0.909 3,636

    2 7000 0.826 5782

    3 7000 0.751 5257

    NPV (325)

    16NPV < 0: Reject the project!

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    DISCOUNTEDPAYBACKPERIOD

    Reflect the time value of money!

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    Year Cash flow Presentvalue

    CumulativePV

    $ $ $

    0 (15,000) (15,000) (15,000)

    1 4,000 3,636 (11,364)

    2 7,000 5,782 (5,582)3 7,000 5,257 (325)

    4 6,000 4,098 3,773

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    DISCOUNTEDPAYBACKPERIOD

    Discounted payback period = 3 yrs + 325/4,098

    = 3.079 years

    This compares with a non-discounted payback period,instead of occurring near the end of year 3, thediscounted payback period suggests that the initialoutlay can only be recouped at the beginning of year 4

    If the project stops at year 3, it will not add value to thecompany!

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    COSTOFCAPITAL

    The appropriate discount rate to use in investmentappraisal is the companys cost of capital difficultto determine

    Both shareholders and debt holders expect somesort of returns cost of financing to the company

    Cost of capital = Weighted average cost of all thesources of capital that a company uses

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    ANNUITIES

    In DCF, annuities are an annual cash payment/receipt that is the same amount every year for anumber of year

    Instead of using the normal DCF calculation, thereis a short-cut formula for annuities

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    INTERNALRATEOFRETURN(IRR)

    IRR is the rate of return at which NPV = 0 (or thetotal cash inflows are equal to the total cashoutflow)

    There are two steps involved in IRR calculation

    Calculating IRR expected from a project

    Comparing IRR with cost of capital

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    VIII. TAXATIONANDPROJECTAPPRAISAL

    The incremental tax cash flows should be includedin the cash flows of the project for discounting toarrive at the projects NPV

    When taxation is ignored in the DCF calculation,the discount rate is pre-tax rate of return

    When taxation is included in the cash flows, a post-tax rate is required!

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