fM-Cost Of Capital

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    COC

    Cost of Capital

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    The financing decision Cost of capital Leverage

    Capital Structure The Dividend Decision

    Working Capital

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    Liabilities & Equity AssetsCurrent Liabilities Current assets

    Long-term debt Fixed AssetsPreferred StockCommon Equity

    The financing decisionThe financing decision

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    Liabilities & Equity Assets

    Current Liabilities Current assets

    Long-term debt Fixed AssetsPreferred StockCommon Equity

    The financing decisionThe financing decision

    Capital Structure

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    What is cost of Capital?

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    Cost of Capital

    Cos cost of capital = Av. Cost of Various componentsemployed by it

    Cos cost of Capital =Average rate of return required byby the investors who provide capital

    to the company

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    For Investors

    the rate of return on a security

    Cost Of Capital

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    For Financial Managers

    The rate of return is a cost of raisingfunds that are needed tooperate the firm.

    Cost Of Capital

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    In other words,

    the cost of raising fundsis the firms

    cost of capital.

    Cost Of Capital

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    Cost of Capital

    used for evaluating

    Investment projectsDetermining Capital structureAssessing leasing proposals

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    Bonds Preferred Stock

    Common Stock

    Each of these offers a rate of returnto investors.

    This return is a cost to the firm.

    Cost of capital actually refers tothe weighted cost of capital

    a weighted average cost of financing

    sources.

    How can the firm raise capital?

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    The Weighted Cost of CapitalThe Weighted Cost of Capital

    A companys cost of Capital is the weighted average cost of Various sources of finance used by it

    EquityPreference andDebt

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    The Weighted Cost of CapitalThe Weighted Cost of Capital

    Company uses

    Equity 50%Preference 10%Debt 40%

    Components costEquity 16%Preference 12%Debt 8%

    WACC = (Proportion of Equity)(Cost of Equity)+(Proportion of Preference )(Cost of Pref )+(Proportion of Debt)(Cost of Debt)

    = (0.5)(16)+(0.10)(12)+(0.4)(8)

    = 12.4%

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    The Weighted Cost of CapitalThe Weighted Cost of Capital

    Only three types of capital are used

    Debt includes short term and long term debt

    Non interest bearing liabilities,trade creditors

    are not included in WACC

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    Rationale behind WACC

    if ROR> COC than share holders benefit

    A firm employs equity and Debt in equal proportionsAnd whose cost of equity and Debt are 14% and 6%

    WACC=(0.5X14 +0.5X6)= 10%

    If the firm invest Rs 100 million on a project @12%

    Total Return on Project -Interest on DebtEquity Funds100x.12 -50x.6

    50

    18% IS MORE THAN COST ON EQUITY 14%SHARE HOLDERS WILL BENEFIT

    =18%

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    Company COC AND Project COC

    CCOC is the rate of return expected by existingCapital Providers

    PCOC is the rate of return expected by existingcapital providers or investment the companyProposes to undertake

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    Cost of Debt

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    For the issuing firm, the cost of debt is :

    DebentureLoansCommercial Papers

    Yield to maturity of that instrument

    Cost of Debt

    DEBT

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    Cost of Debt is Value of R D in the Equation

    I + FT=1 (1+r d)t ( 1+r d)n

    n

    P0 =

    Where P O = Current Market Price of DebentureI = Annual interest paymentn = Number of years left to maturityF = Maturity value of debenture

    r d = Yield to Maturity

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    Yield To Maturity

    I+(F-P)/n0.6P o + .4F

    R d =

    Face Value=Rs 1000Coupon Rate=12%Remaining Period of Mat=4 Yr Current Market Price=Rs1040

    120+(1000-1040)/40.6x1040 + .4x1000R d =

    =10.7%

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    Firm Using different instruments of Debt

    Debt Instrument Face Value Mkt Value Coupon Rate Current Rate

    Non Convertible Rs 100 mil Rs 104 mil 12% 10.7%DebenturesBank Loan Rs 200mil Rs 200 mil 13% 12%C Papers Rs 50 mil Rs 48.25 NA 7.39

    ACD =10.7(104/352.25) +12%(200/352.25+7.39(48.25/352)=10.98%

    Post tax cost of Debt =Pre tax cost of Debt(1-taxrate)= 10.98%(1-tax rate)= 10.98%(1-.30)= 7.69%

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    with stock with debtEBIT 4,00,000 400,000

    - interest expense 0 (50,000 )EBT 400,000 350,000- taxes (34%) (136,000) (119,000)EAT 2,64,000 231,000

    Example : Tax effects of financing with debt

    Now, suppose the firm pays Rs50,000

    in dividends to the stockholders.

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    with stock with debtEBIT 4,00,000 400,000

    - interest expense 0 (50,000 )EBT 400,000 350,000- taxes (34%) (136,000) (119,000)EAT 2,64,000 231,000Dividend 50.000 -

    Example : Tax effects of financing with debt

    Retained earnings 214,000 231,000

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    COC

    Post-taxCost of

    Debt

    Before-taxCost of

    Debt

    Tax= _

    33,000 = 50,000 - 17,000OR 33,000 = 50,000 ( 1 - .34 )

    Or ,if we want to look at percentage costs :

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    After-tax%Cost of

    Debt

    Before-tax%Cost of

    Debt

    marginalTax Rate=

    _

    1-

    Rd = Rd (1 - T)Rd = Rd (1 - T)

    .066 = .10 (1 - .34).066 = .10 (1 - .34)

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    A Company issues a Rs1,000 par,20 year bond paying the market rateof 10%. Coupons are annual. The

    bond will sell for par since it paysthe market rate, but flotation costsamount to Rs50 per bond.

    What is the pre-tax and after-taxcost of debt for the Corporation?

    Example: Cost of Debt

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    Pre-tax cost of debt:950 = 100(PVIFA 20, k d ) +

    1000(PVIF 20, k d ) using the calculator,

    Rd = 10.61%.

    After-tax cost of debt: rd = Rd (1 - T)

    Rd = .1061 (1 - .34)

    Rd = .07 = 7%

    So 10 % cost of Bond Costs theFirm only 7%(With floatationCosts) sinceThe interest isTax deductible

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    Cost of Preference Stock

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    Cost of Preference

    1 carries a fixed rate of dividend

    2 it is redeemable in nature

    3 preference dividend at regular interval

    3 not tax- deductible expense

    4 does not produce any tax saving

    5 COP is = to its yield

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    Cost of Capital of Preference Shares

    PD +(P n- P o)/n(P n + p o)/2

    Kp =

    WhereKp is Cost of capital of preference capital

    Pd is annual preference dividend at fixed rate Pn is amount payable at the time of redemption Po is net proceed on issue of preference shares n is number of years

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    Cost of Preference

    Face Value :Rs 100Dividend Rate :11%Maturity Period :5 Yr Market Price Rs 95

    11+(100-95)/n0.4x100+.6x95=12.37%

    yieldEXP

    If more than one issue of preference stock outstanding thanWe apply average yield of preference like debt

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    There are 2 sources of Equity:

    3) Internal equity

    (retained earnings),&

    2) External equity

    (new issues)

    Do these 2 sources have the same cost?

    Cost of EquityCost of Equity

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    Since the stockholders own the firms retainedearnings, the cost is simply the stockholdersrequired rate of return.

    Why? If managers are investing stockholders

    funds, stockholders will expect to earn anacceptable rate of return.

    Cost of Internal Equity

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    Cost of External Equity

    Far more difficult to measure than other sources

    No Coupon rate in equity capital

    Value comprises

    EarningsDividendMarket Value

    Dividend decisions Depends upon Board

    Market value depends upon lot of factors

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    Cost Of External Equity

    D1 + D 2 ----------+ D n + P n( 1+k e)1 ( 1+ke)2 ( 1+ke)n ( 1+ke)n

    P O =

    Where

    Po is Current Market Price of Equity SharesPn is share Market Price after n year

    D1 is dividend receivable over different yearsKe Req rate of return of share holders

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    The weighted cost of capital isjust the weighted average costof all of the financing sources.

    Weighted Cost of CapitalWeighted Cost of Capital

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    Weighted Cost of CapitalWeighted Cost of Capital

    WACC = r e. w1 + rp.w2+ rd.w 3(1-t c)

    WhereWACC is cost of Weighted Av. Cost of Capitalre is cost of equity capitalrd is after tax cost of debtW1 Proportion of Equity capital in capital Structure

    W3 Proportion of Debt CapitalW2 Proportion of Pref.Capitaltc is corporate tax rate

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    Cost of specific sources of capital in a company are

    R e =16%

    R p =14%

    R d =12%

    Market Value proportion of Equity,Preference and Debt

    We =0.60Wp =0.05Wd =0.35

    Tax rate is 30%

    Sources Proportions Cost WCost

    1 2 3Debt .60 16.0% 9.60Preference .05 14.0% 0.70Equity .35 8.4% 2.94

    WACC= 13.24%

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    Capital

    Source Cost Structure

    debt 6% 20%

    preferred 10% 10%

    common 16% 70%

    Weighted Cost of CapitalWeighted Cost of Capital

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    Weighted cost of capital =

    .20 (6%) + .10 (10%) + .70 (16)

    = 13.4%

    Weighted Cost of Capital

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    COC

    The Concept of COC is too Academic

    The cost of Equity is Equal to dividend rate or ROE

    Retained Earnings are either Cost free or cheaper than External Equity

    Share Premium has no Cost

    Depreciation has no cost

    The COC can be defined in terms of Accounting Based

    Measures

    Co. can apply same COC to all Projects

    Project heavily financed by debt has low WACC

    SomeMisconceptions

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    Few Responses about Cost of Capital

    We look at the profitability of InvestmentProposals from point of view of equityCapital.Our dividend rate is 10percentSo our cost of Capital is 10%

    * Electrical

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    Few Responses about Cost of Capital

    We dont calculate COC- it is tooAcademic and impractical

    *Chemical

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    Few Responses about Cost of Capital

    Our rate of return is too high andThus it is not necessary

    *Chemical