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Chap 11 - The Cost of Capital

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    10-1

    CHAPTER 10

     The Cost of Capital

    Sources of capital

    Component costs WACC

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    What sources of long-

    term capital do rms use?

    Long-Term Capital

    Long-Term Capital

    Long-Term Debt

    Long-Term Debt Preferred Stock

    Preferred Stock Common Stock

    Common Stock

    etained !arnings

    etained !arnings "e# Common Stock

    "e# Common Stock

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    Calculating the #eighted

    a$erage cost of capitalWACC % #drd&'-T( ) #prp ) #crs 

     The #*s refer to the rm*s capitalstructure #eights+

     The r*s refer to the cost of eachcomponent+

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    Should our anal,sis focus onbefore-ta or after-ta capital

    costs? Stockholders focus on A-T C.s+ Therefore/ #e should focus on A-T

    capital costs/ i+e+ use A-T costs ofcapital in WACC+ 0nl, rd needs

    ad1ustment/ because interest is tadeductible+

    Pro1ect return is based on A-T C.s andC. in stock $aluation is based on A-TC.s

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    Should our anal,sis focus onhistorical &embedded( costs or

    ne# &marginal( costs? The cost of capital is used

    primaril, to make decisions that

    in$ol$e raising ne# capital+ So/focus on toda,*s marginal costs&for WACC(+

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    Component cost of debt WACC % #drd&'-T( ) #prp ) #crs 

    rd is the marginal cost of debt

    capital+

     The ,ield to maturit, on outstanding

    L-T debt is often used as a measureof rd+

    Wh, ta-ad1ust/ i+e+ #h, rd&'-T(?

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    A '2-,ear/ '34 semiannualcoupon bond sells for

    5'/'26+73+ What is the cost ofdebt &rd(? emember/ the bond pa,s asemiannual coupon/ so rd % 2+84

    3 % '84+

    INPUTS

    OUTPUT

    N I/YR PMTPV FV

    30

    5

    60 1000-1153.72

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    Component cost of debt 9nterest is ta deductible/ so

    A-T rd % :-T rd &'-T(

      % '84 &' - 8+;8( %

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    Component cost of preferred

    stock WACC % #drd&'-T( ) #prp ) #crs 

    rp is the marginal cost of preferredstock/ #hich is the return in$estorsre>uire on a rm*s preferred stock+

    Preferred di$idends are not ta-

    deductible/ so no ta ad1ustmentsnecessar,+ ust use nominal rp+ 0ur calculation ignores possible

    @otation costs+

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    What is the cost of preferred

    stock? The cost of preferred stock can be

    sol$ed b, using this formula

    rp % Dp B Pp

      % 5'8 B 5'''+'8

      % 4

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    9s preferred stock more orless risk, to in$estors thandebt? ore risk,E compan, not re>uired to pa,

    preferred di$idend+

    Fo#e$er/ rms tr, to pa, preferreddi$idend+ 0ther#ise/ &'( cannot pa,common di$idend/ &3( diGcult to raiseadditional funds/ &6( preferredstockholders ma, gain control of rm+

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    Wh, is the ,ield onpreferred stock lo#er thandebt? Preferred stock #ill often ha$e a lo#er :-

     T ,ield than the :-T ,ield on debt+

    Corporations o#n most preferred stock/because 784 of preferred di$idends areecluded from corporate taation+

     The A-T ,ield to an in$estor/ and the A-T

    cost to the issuer/ are higher on preferredstock than on debt+ Consistent #ithhigher risk of preferred stock+

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    Component cost of e>uit, WACC % #drd&'-T( ) #prp ) #crs 

    rs is the marginal cost of common

    e>uit, using retained earnings+

     The rate of return in$estorsre>uire on the rm*s common

    e>uit, using ne# e>uit, is re+

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    Wh, is there a cost for

    retained earnings? !arnings can be rein$ested or paid out as

    di$idends+ 9n$estors could bu, other securities/ earn a

    return+ 9f earnings are retained/ there is an

    opportunit, cost &the return thatstockholders could earn on alternati$e

    in$estments of e>ual risk(+ 9n$estors could bu, similar stocks and earn rs+ .irm could repurchase its o#n stock and earn rs+

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     Three #a,s to determinethe cost of commone>uit,/ rs CAP rs % r. ) &rD H r.( b

    DC. rs % &D' B P8( ) g

    0#n-:ond-Iield-Plus-isk-Premiumrs % rd ) P

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    9f the r. % 74/ P %

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    9f D8 % 5;+'/ P8 % 528/ and g % 24/

    #hat*s the cost of common e>uit,

    based upon the DC. approach?

      D' % D8 &' ) g(

      D' % 5;+' &' ) +82(

      D' % 5;+62

      rs  % &D' B P8( ) g% &5;+62 B 528( ) 8+82

    % '6+J4

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    What is the epectedfuture gro#th rate?

     The rm has been earning '24 on e>uit,&0! % '24( and retaining 624 of itsearnings &di$idend pa,out %

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    Can DC. methodolog, beapplied if gro#th is not

    constant? Ies/ nonconstant gro#th stocks are

    epected to attain constant gro#th

    at some point/ generall, in 2 to '8,ears+

    a, be complicated to compute+

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    9f rd % '84 and P % ;4/ #hat is rs 

    using the o#n-bond-,ield-plus-risk-

    premium method? This P is not the same as the

    CAP P+

     This method produces a ballparkestimate of rs/ and can ser$e as auseful check+

    rs % rd ) P

    rs % '8+84 ) ;+84 % ';+84

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    Wh, is the cost of retained earningscheaper than the cost of issuing ne#

    common stock? When a compan, issues ne# common

    stock the, also ha$e to pa, @otationcosts to the under#riter+

    9ssuing ne# common stock ma, send anegati$e signal to the capital markets/#hich ma, depress the stock price+

     T#o approaches to ad1ust @otation cost&'(add @otation cost &5( directl, to apro1ect*s cost &3( ad1ust the percentageof WACC

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    9f issuing ne# common stock incursa @otation cost of '24 of the

    proceeds/ #hat is re?

    '2+;4 

    2+845;3+285;+62 

    2+848+'2(-528&'

    (5;+'&'+82 

    g.(-&'P

    g(&'D r

    8

    8e

    =

    +=

    +=

    ++

    =

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    .lotation costs

    .lotation costs depend on the rm*srisk and the t,pe of capital being

    raised+ .lotation costs are highest for

    common e>uit,+ Fo#e$er/ sincemost rms issue e>uit, infre>uentl,/

    the per-pro1ect cost is fairl, small+ We #ill fre>uentl, ignore @otation

    costs #hen calculating the WACC+

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    9gnoring @otation costs/#hat is the rm*s WACC?

    WACC % #drd&'-T( ) #prp ) #crs 

    % 8+6&'84(&8+

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    What factors in@uence acompan,*s compositeWACC? Capital arket conditions+

     The rm*s capital structure and

    di$idend polic,+ The rm*s in$estment polic,+

    .irms #ith riskier pro1ects

    generall, ha$e a higher WACC+

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    Should the compan, use thecomposite WACC as the hurdle

    rate for each of its pro1ects? "0 The composite WACC re@ects

    the risk of an a$erage pro1ect

    undertaken b, the rm+ Therefore/the WACC onl, represents theMhurdle rateN for a t,pical pro1ect#ith a$erage risk+

    DiOerent pro1ects ha$e diOerentrisks+ The pro1ect*s WACC should bead1usted to re@ect the pro1ect*s risk+


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