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    BU 926GA

    Survey of Finance

    Spring 2015Chapter 9

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    Key Concepts an S!i""s

    Understand how to determine the relevantcash flows for a proposed investment

    Understand how to analyze a projectsprojected cash flows

    Understand how to evaluate an estimatedNPV

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    #e"evant Cash F"o$s

    The cash flows that should be included in a capital

    budgeting analysis are those that will only occur if theproject is accepted

    These cash flows are called incremental cash flows

    The stand-alone principleallows us to analyze eachproject in isolation from the firm simply by focusing onincremental cash flows thin! of each project as a

    "minifirm#

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    As!ing the #ight %uestion&

    Fining 'ncre(enta" Cash F"o$s $ou should always as! yourself "%ill this cash

    flow change &N'$ if we accept the project(# )f the answer is "yes*# it should be included in the

    analysis because it is incremental

    )f the answer is "no*# it should not be included inthe analysis because it is not affected by theproject

    )f the answer is "part of it*# then we should includethe part that occurs because of the project

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    Co((on )ypes of Cash F"o$s

    Sun! costs costs that have accrued in the past

    +hould be e,cluded from cash flows

    *pportunity costs costs of lost options )nclude in the cash flows* use fair mar!et value price

    Sie effects

    Positive side effects benefits to other projects Negative side effects costs to other projects "erosion#

    Changes in net $or!ing capita"

    Financing costs

    -o not include interest and dividend payments onlyinterested in .ash /lows from 0ssets

    )a+es 0lways loo!ing at after ta, cash flows

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    ,ro For(a State(ents an Cash F"o$

    .apital budgeting relies heavily on pro forma

    accounting statements* particularly incomestatements

    .omputing cash flows refresher &perating .ash /low 1&./2 3 45)T 6 depreciation ta,es

    &./ 3 Net income 6 depreciation when there is nointerest e,pense

    .ash /low /rom 0ssets 1.//02 3 &./ net capitalspending 1N.+2 changes in N%.

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    -e$ ,rouct .aunch / +a(p"e

    7odification to current machine

    3 89:*:::* ; $ear 'ife 4,pected +ales of < a unit

    0nnual fi,ed .ost of 8?>*:::

    +traight 'ine -epreciation

    Ta, @ate 3 ;=A

    8>:! in Net %or!ing .apitalNeeded

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    ,ro For(a 'nco(e State(ent

    +ales 1::*:::

    Variable .osts 18>>:

    Net )ncome 8 >?*EF:

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    ,roecte )ota" Cash F"o$s

    $ear

    : ? > ;

    &./ 8

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    a!ing the 3ecision

    Now that we have the cash flows* we can

    apply the techniHues that we learned inchapter F

    Should we accept or reject the project?

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    ore on -4C

    %hy do we have to consider changes in

    N%. separately( D00P reHuires that sales be recorded on the income

    statement when made* not when cash is received

    D00P also reHuires that we record cost of goods sold

    when the corresponding sales are made* regardlessof when we actually pay our suppliers

    +o* cash flow timing differences e,ist between thepurchase of inventory* revenue and costs from its saleon the income statement* and the actual cashcollection from its sale

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    3epreciation

    The depreciation e,pense used for capitalbudgeting should be the depreciationschedule reHuired by the )@+ for ta, purposes

    -epreciation itself is a nonGcash e,penseI

    conseHuently* it is only relevant because itaffects ta,es

    -epreciation ta, shield 3 -,T

    - 3 depreciation e,pense T 3 marginal ta, rate

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    Co(puting 3epreciation

    +traightGline depreciation - 3 1)nitial cost salvage2 C number of years Very few assets are depreciated straightGline for ta,

    purposes

    70.@+ Need to !now which asset class is appropriate for ta,

    purposes

    7ultiply percentage given in table by the initial cost

    -epreciate to zero 7idGyear convention

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    +a(p"e 3epreciation an After/)a+ Sa"vage

    $ou purchase eHuipment for 8?::*::: and it

    costs 8?:*::: to have it delivered andinstalledB 5ased on past information* youbelieve that you can sell the eHuipment for

    8?E*::: when you are done with it in J yearsBThe companys marginal ta, rate is =:AB%hat is the depreciation e,pense each year*and the after ta, salvage in year J* for each

    of the following situations(

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    +a(p"e Straight/"ine 3epreciation

    +uppose the appropriate depreciationschedule is straightGline - 3 18??:*::: ?E*:::2 C J 3 8?

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    +a(p"e )hree/year AC#S

    $ear 70.@+

    percent

    -

    ? B;;;; B;;;;1??:*:::2 3;J*JJ;

    > B==== B====1??:*:::2 3

    =F*FF=

    ; B?=F> B?=F>1??:*:::2 3?J*;:>

    = B:E=? B:E=?1??:*:::2 3F*?

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    +a(p"e Seven/ear AC#S

    $ear 70.@+

    Percent

    -

    ? B?=>9 B?=>91??:*:::2 3? B>==9 B>==91??:*:::2 3>J*9;9

    ; B?E=9 B?E=91??:*:::2 3?9*>;9

    = B?>=9 B?>=91??:*:::2 3?;*E;9

    < B:F9; B:F9;1??:*:::2 3 9*F>;

    J B:F9; B:F9;1??:*:::2 3 9*F>;

    5V in year J 3??:*::: ?J*9;9 ?9*>;9 ?;*E;9 9*F>; 9*F>; 3 ?=*E?F

    0fterGta, salvage 3?E*::: G B=1?E*:::

    ?=*E?F2 3

    ?J*:FEB>:

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    After )a+ Sa"vage

    )f the salvage value is different from the boo!

    value of the asset* then there is a ta, effect

    5oo! value 3 initial cost accumulated

    depreciation

    0fter ta, salvage 3 salvage T1salvage boo!value2

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    +a(p"e #ep"ace(ent ,ro7"e(

    &riginal 7achine )nitial cost 3 ?::*::: 0nnual depreciation 3

    9*:::

    Purchased < years ago

    5oo! Value 3

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    #ep"ace(ent ,ro7"e( 8 Co(puting Cash F"o$s

    @emember that we are interested in incremental

    cash flows

    )f we buy the new machine* then we will sell the

    old machine

    %hat are the cash flow conseHuences of sellingthe old machine today instead of in < years(

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    #ep"ace(ent ,ro7"e( 8 ,ro For(a 'nco(e State(ents

    $ear ? > ; = F*E;? ;

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    #ep"ace(ent ,ro7"e( 8 'ncre(enta" -et Capita"

    Spening

    $ear :

    .ost of new machine 3 8?

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    #ep"ace(ent ,ro7"e( 8 Cash F"o$ Fro( Assets

    $ear : ? > ; = J*=::

    N.+ GF9*::: G?:*:::

    )nN%.

    : :

    .//0 GF9*::: =J*;9F ;:*F=J ?J*=::

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    #ep"ace(ent ,ro7"e( 8 Ana"ying the Cash F"o$s

    Now that we have the cash flows* we can

    compute the NPV and )@@ 4nter the cash flows

    .ompute NPV 3 89

    .ompute )@@ 3 ;JB>EA

    Should the company replace theequipment?

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    va"uating -,: sti(ates

    The NPV estimates are just that

    estimates

    0 positive NPV is a good start now weneed to ta!e a closer loo!

    /orecasting ris! how sensitive is our NPVto changes in the cash flow estimatesI themore sensitive* the greater the forecasting

    ris! +ources of value why does this project

    create value(

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    Scenario Ana"ysis

    %hat happens to the NPV under differentcash flows scenarios(

    0t the very least* loo! atK 5est case revenues are high and costs are low

    %orst case revenues are low and costs are high 7easure of the range of possible outcomes

    5est case and worst case are not

    necessarily probableI they can still bepossible

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    Sensitivity Ana"ysis

    %hat happens to NPV when we vary onevariable at a time

    This is a subset of scenario analysis where weare loo!ing at the effect of specific variableson NPV

    The greater the volatility in NPV in relation toa specific variable* the larger the forecastingris! associated with that variable and the

    more attention we want to pay to itsestimation

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    -e$ ,roect +a(p"e

    .onsider the project discussed in thete,t

    The initial cost is 8>::*::: and theproject has a A* and the ta,rate is ;=A

    The base case NPV is 8?

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    Su((ary of Scenario Ana"ysis

    +cenario Net)ncome

    .ash/low

    NPV )@@

    5ase case 8?9*F:: 8

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    Su((ary of Sensitivity Ana"ysis

    +cenario Unit

    +ales

    .ash /low NPV )@@

    5ase case J*::: 8

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    a!ing A 3ecision

    5eware "Paralysis of 0nalysis#

    0t some point* you have to ma!e a decision

    )f the majority of your scenarios have positiveNPVs* then you can feel reasonably

    comfortable about accepting the project )f you have a crucial variable that leads to anegative NPV with a small change in theestimates* then you may want to forgo the

    project

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    anageria" *ptions

    .apital budgeting projects often provide

    other options that we have not yetconsidered

    .ontingency planning

    &ption to e,pand &ption to abandon

    &ption to wait

    +trategic options

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    Capita" #ationing

    .apital rationing occurs when a firm or

    division has limited resources +oft rationing the limited resources are

    temporary* often selfGimposed

    Lard rationing capital will never be availablefor this project

    The profitability inde, is a useful tool when

    faced with soft rationing

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    ;o(e$or!

    ProblemsK ?* >* =* J* E* 9* M ?:

    The 70.@+ table is on pgB >EE table 9BE

    Landout Problem