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    Amity School Of Business

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    Amity School Of Business

    BBA Semister four

    Financial Management-II

    Ashish Samarpit Noel

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    Cost Of Capital Cost of Capital is the cost of raising

    capital and using it. In other words it is

    evaluation of the required rate of return tofirms investors.

    Signifiance:-

    Evaluating Investment decision

    Designing a firms debt policy

    Appraising the financial performance of topmanagement

    2

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    Factors determining the cost of capital General economic conditions

    Demand for and supply of capital within the economy

    and the level of expected inflation

    Market conditions

    A firms operating and financing decisions

    Business Risk-Companys investment decisions

    Financial Risk-Use of Debt

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    Project cost of capital & Companys cost ofcapital

    The project cost of capital is the minimum

    required on funds committed to a project, which

    depends on the riskiness of its cash flows.

    The company cost of capital is the overall or

    average, required rate of return on theaggregate of investment projects.

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    Explicit and Implicit Costs Explicit Cost

    Discount rate that equates the PV of

    incremental cash inflows to the PV ofincremental cash outflows

    Implicit Cost/Opportunity Cost Rate of return of the foregone opportunity,

    E.g. Retained Earnings

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    Weighted Average Cost of Capital (WACC)vs. Specific Costs of Capital

    The cost of capital for each source of capital is known as

    specific or component cost of capital

    The component costs are combined according to the

    weights of each component capital to obtain weighted

    average cost of capital or overall cost of capital

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    Tax Adjustment

    The interest paid on debt is tax deductible

    The higher the interest charges, lower would be the

    amount of tax payable by the firm

    As a result, the after-tax cost of debt to the firm will besubstantially lower than the investors required rate of

    return

    After-tax-cost of debt = kd(1-T)

    Where T is the corporate tax rate

    Loss making firms will not have after tax cost of debt

    In Calculation of WACC after-tax-cost of debt is to be

    used

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    In case of preference capital, payment of dividends is notlegally binding

    The cost of preference capital is a function of thedividend expected by the investors

    Irredeemable Preference Shares If Preference shares are perpetual,

    where, kp is the cost of preference shares

    PDIV is the expected preference dividend

    P0 is the issue price of preference shares

    Cost of Preference

    Capital

    0P

    PDIVkp !

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    Redeemable Preference Share

    Cost of Redeemable Preference Shares can be

    computed as:

    The cost of preference share is not adjusted for taxes because

    preference dividend is paid after the corporate taxes have been

    paid

    Since interest is tax deductible & Preference dividend is

    not, the cost of preference is substantially higher than

    the after tax cost of debt

    n

    p

    n

    n

    t

    t

    p

    t

    k

    P

    k

    PDIVP

    )1()1(10

    !

    !

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    Cost of Equity Capital Equity capital can be raised internally by retained

    earnings or the firm can distribute dividends & raise

    capital by new issue of equity shares

    In both the cases the shareholders are providing funds to

    the firms to finance their capital expenditures

    Equity shareholders required rate of return would be

    same

    Difference between cost of retained earnings & cost of

    external equity would be floatation costs

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    Is equity CapitalF

    ree of Cost? Equity capital involves opportunity cost; ordinary

    shareholders provide funds to the firm in

    expectation of dividends and capital gains

    The shareholders required rate of return

    equates the PV of the expected dividends with

    the market value of shares

    Two difficulties in measurement:

    Difficult to estimate expected dividends

    Future earnings & Dividends are expected to grow

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    Cost of Internal Equity: Dividend Growth Model

    The opportunity cost of retained earnings is therate of return foregone by equity shareholders

    1. Normal Growth: The cost of Equity is equal to

    the expected dividend plus capital gain rate

    gP

    DIke !

    0

    1

    Where,

    ke = cost of equity

    DIV1 = DIV0(1+g)

    g= expected growth in dividends

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    Cost of Internal Equity: Dividend Growth Model

    Can be written as follows:

    These equations are based on the following assumptions:

    Market price of shares is a function of expected dividends

    The Dividend is positive

    The dividends grow at a constant rate & g = ROE X Retention

    Ratio

    The dividend payout ratio is constant

    Also called as GORDONs model

    Implies the opportunity cost for the shareholders, if these

    earnings were to be distributed as dividends

    gk

    DIVP

    e

    o

    ! 1

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    2. Supernormal Growth When dividends grow at different rates, thedividend valuation model is used as follows:

    Where, gs = super-normal growth rate for n years

    & gn is the growth rate beginning in the year n+1,

    perpetually

    3. Zero growth:

    nenen

    tn

    t

    t

    e

    s

    kX

    gkDIV

    kgDIVP

    )1(1

    1)1( 1

    1

    00

    !

    !

    0

    1

    P

    DIVke !

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    Cost of External Equity: Dividend GrowthModel

    The firms external equity consists of funds raised

    externally through public or rights issue

    The minimum rate of return required by equity

    shareholders to keep the market price of share

    same is the cost of equity

    Cost of retained earnings is lesser than the cost ofexternal equity

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    COST OF EXTERNAL EQUITY (No Flotation Cost)

    DIVIDEND GROWTH MODEL

    Consists of funds raised externally through public or rights issue

    The minimum rate of return required by equity shareholders to keep

    the market price of share same is the cost of equity

    Firm can induce existing or potential shareholders to purchase new

    shares when it promises rate of return which is equal to

    ke = Div1 + g

    PoWhere

    Div1 = Expected dividend = Div0 (1+g)

    P0 = Current market price

    g = Expected growth rate in dividend = RoE x Retention Ratio

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    COST OF EXTERNAL EQUITY (With Flotation Cost)

    DIVIDEND GROWTH MODEL(2)

    New issues of ordinary shares are generally sold at a price less than

    the prevailing market price

    Hence cost of equity can be calculated as

    ke = Div1 + g

    Pn

    Where

    Div1 = Expected dividend = Div0 (1+g)

    Pn = Issue price of new equity = Issue Price Floatation cost

    g = Expected growth rate in dividend = RoE x Retention Ratio

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    Cost of Debt

    Cost of Debt Based on the interest/coupon rate

    Before tax cost of debt is the rate of return required by

    the lenders

    1. Debt Issued At Par

    where,

    kd is the cost of debt

    I is the coupon rate of interest

    B0 is the issue price of the bond

    INT is the amount of interest

    0B

    INTikd !!

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    The before tax cost of debt can be calculated using the

    following equation:

    where,

    Bn is the repayment of debt on maturity

    B0 is the issue price of the bond

    This equation can be solved for kd by trial & error &

    interpolation

    01

    I T(1 ) (1 )

    n

    t n

    t nt

    d d

    BBk k!

    !

    2

    . Debt Issued at Discount/Premium`

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    Tax Adjustment

    The interest paid on debt is tax deductible

    The higher the interest charges, lower would be the

    amount of tax payable by the firm

    As a result, the after-tax cost of debt to the firm will besubstantially lower than the investors required rate of

    return

    After-tax-cost of debt = kd(1-T)

    Where T is the corporate tax rate

    Loss making firms will not have after tax cost of debt

    In Calculation of WACC after-tax-cost of debt is to be

    used

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    Earnings Price Ratio & Cost of Equity The firms external equity consists of funds

    raised externally through public or rights

    issue

    The minimum rate of return required by

    equity shareholders to keep the market

    price of share same is the cost of equity

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    Cost of Equity & Capital Asset Pricing Model

    The CAPM is a model that provides a framework to determine the

    required rate of return on an asset and indicates the relationship

    between return and risk of the asset

    Assumptions:

    Market Efficiency

    Risk Aversion

    Homogeneous expectations

    Single time period

    Risk-free rate Risk has two parts:

    Unsystematic Risk (Diversifiable)

    Systematic Risk (Cannot be reduced)

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    Cost of Equity: CAPM Vs. Dividend-Growth

    Model

    The dividend-growth approach has limited

    application in practice

    The expected dividend growth rate, g, shouldbe less than the cost of equity, ke, to arrive at

    the simple growth formula

    Cant be used if a company is not payingdividends

    Fails to deal with risk directly

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    Cost of Equity: CAPM Vs. Dividend-Growth Model

    CAPM has a wider application although it is based on

    restrictive assumptions:

    The only condition for its use is that the companys

    share is quoted on the stock exchange All variables in the CAPM are market determined and

    except the company specific share price data, they are

    common to all companies

    The value of beta is determined in an objective mannerby using sound statistical methods. One problem with

    the use of beta is that it does not remain stable over

    time

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    Weighted Average Cost of Capital (WACC)

    The following steps are involved for calculating the firms

    WACC:

    Calculate the cost of specific sources of funds

    Multiply the cost of each source by its proportion in the capitalstructure.

    Add the weighted component costs to get the WACC.

    Weighted Marginal Cost of Capital (WMCC):

    Marginal cost is the new or incremental cost of new capital(equity & debt) issued by the firm

    New funds are raised at new costs according to the firms

    target capital structure

    WMCC is the WACC of new capital given the firms target

    capital structure

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    Book Value Versus Market Value Weights Managers prefer the book value weights for calculating

    WACC:

    Firms in practice set their target capital structure in terms ofbook values.

    The book value information can be easily derived from the

    published sources. The book value debtequity ratios are analysed by investors to

    evaluate the risk of the firms in practice.

    The use of the book-value weights can be seriously

    questioned on theoretical grounds: First, the component costs are opportunity rates and are

    determined in the capital markets. The weights should also bemarket-determined.

    Second, the book-value weights are based on arbitraryaccounting policies that are used to calculate retained earningsand value of assets. Thus, they do not reflect economic values.

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    Book Value Versus Market Value Weights

    Market-value weights are theoretically superior tobook-value weights: They reflect economic values and are not influenced by

    accounting policies

    They are also consistent with the market-determined

    component costs.

    The difficulty in using market-value weights: The market prices of securities fluctuate widely and frequently. A market value based target capital structure means that the

    amounts of debt and equity are continuously adjusted as the

    value of the firm changes.