Financial Risk and Relationship Between Cost of Capital

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    Cost of capital andLeverage

    Presented By: Suhas Chavan

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    Cost of Capital

    The cost of capital is the rate of return the company

    has to pay to various suppliers of funds in thecompany.

    There are variations in the costs of capital due to the

    fact that different kinds of investment carry differentlevels of risk, which is compensated for, by different

    levels of return on the investment.

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    Elements of Cost of Capital

    The cost of capital consists of the following elements:

    Cost of Equity (KE)

    Cost of Retained Earnings (KR)Cost of Preferred capital (KP)

    Cost of Debt (KD)

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    Cost of Equity

    The cost of equity may be defined as theminimum rate of return that a company must

    earn on the equity financed portion of an

    investment project so that market price of the

    shares remain unchanged.

    It is a permanent source of funds.

    The main objective of the firm is to maximize

    the wealth of the equity shareholders.

    If the companys business is doing well the

    ultimate beneficiaries are the equity

    shareholders.

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    Computationof Cost of Equity

    Dividend Yield MethodThe discount rate that equates the present value of all

    expected future dividends per share with the net proceeds

    of the sale (or the current market price) of a share.

    Dividend Growth Model

    An allowance for future growth in dividend is added to the

    current dividend yield.

    Price Earning MethodThis method takes into consideration the Earnings per share

    (EPS) and the market price of share.

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    Dividend Yield Method

    It is based on the assumption that the market value ofshares is directly related to the future dividends on theshares.

    Another assumption is that the future dividend per share

    is expected to be constant and the company is expected toearn at least this yield to keep the shareholders content.

    Emphasizes future dividends to be constant.

    It does not follow any growth rate.

    But in reality, a shareholder expects the return from hisinvestment to grow over a time.

    This approach has no relevance to the company.

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    Dividend Yield Methodcontd.

    Where,

    KE= Cost of equity

    D1 = Annual dividend per share

    PE = Ex-dividend per share

    E

    E

    P

    DK

    1

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    Dividend Growth Model

    It is recognized that the current market price

    of a share reflects expected future dividends.

    Also called as Gordon Dividend Growth

    Model.

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    Dividend Growth Model contd.

    Where,D1 = Current dividend per Equity share

    PE = Market price per Equity share

    g = Growth in expected dividend

    gP

    D

    KE

    E

    1

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    Price Earning Method

    This method takes into consideration the Earningsper share (EPS) and the market price of share.

    Assumption that the investors capitalize the

    stream of future earnings of the share need not bein the form of dividend and also it need not bedisbursed to the shareholders.

    In calculation of cost of equity share capital, theearnings per share is divided by the currentmarket price.

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    Price Earning Method contd.

    Where,

    E = Current earnings per share

    M= Market price per share

    M

    E

    KE

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    Cost of Retained Earnings (KR)

    The retained earnings is the major sources of Finance.

    The equity shareholders of the company are entitled to

    these funds.

    As long the retained profits are not distributed to theshareholders, the company can use funds within the

    company for further profitable investment opportunities.

    Retained earnings are a slightly cheaper source of capital

    as compared to the cost of equity capital.

    Therefore treated separately from the cost of equity

    capital.

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    Cost of Retained Earnings contd.

    Where,

    KR = Cost of retained earnings

    KE = Cost of equity capital

    T = Tax rate of individuals

    TKKER 1

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    Cost of Preference shares (KP)

    The cost of preference share capital is the rate of return

    that must be earned on preference capital financed

    investments; to keep unchanged the earnings available to

    the equity shareholders.Cost of Irredeemable Preference Shares.

    Cost of Redeemable Preference Shares.

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    Cost of Irredeemable Preference Shares

    Where,

    KP= cost of irredeemable preference shares

    DP= Preference dividend

    NP = Net proceeds received from the issue of

    Preference shares after meeting the Issue

    expenses.

    NP

    D

    K

    P

    P

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    Cost of Redeemable Preference Shares

    Where,

    KP = Cost of Preference shares

    D = Constant annual dividend payment

    N = No. Of years to redemption

    RV= Redeemable value of preference shares at the time of redemption

    SV = Sale out value of preference shares less discount and floating expenses.

    2

    VV

    VV

    PSR

    N

    SR

    DK

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    Cost of Debt (KP)

    The capital structure of a firm normally includes the debtcomponent also.

    The debt is carried a fixed rate of interest payable tothem, irrespective of the profitability of the company.

    An important point to be remembered that dividendspayable to Equity shareholders and Preferenceshareholders is an appropriation of profit, whereas theinterest payable on Debt is charge against profit.

    This phenomenon is called Tax shield

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    Meaning of Leverage

    Leverage refers to the ability of a firm in

    employing long term fund having fixed cost to

    enhance return to the owner.

    Leverage is using fixed costs to magnify the

    potential return to a firm

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    Types of fixed costs

    Fixed operating cost: - e.g. Rent, deprecation

    Fixed Financial: - e.g. interest cost from debt

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    Types of Leverage

    Operating LeverageOperating Leverage is concerned with theoperation of any firm. The cost structure

    of any firm gives rise to operating

    leverage because of the existence offixed nature costs. This leverage relatesto the Sales & Profit variations, sometime

    a small fluctuation in Sales would havegreat impact on profitability. This is

    because of the existence of fixed costelements in the cost structure of a

    product.

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    Degree of operatingleverage

    Degree of operating leverage (DOL): -It measures the EBIT's percentagechange as a result of a change of onepercent in the level of output. - It helps

    in measuring the business risk.

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    Operating Leverage

    Operating Leverage measures the sensitivity of a

    firms operating income to change in Sales.

    Degree of operating leverage =

    % change in EBI

    % Change in Sales

    A change in Sales -------------A large change

    in EBIT

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    Operating Leverage (DOL)

    How efficiently is the fixed cost used in firms

    operations

    Is it optimal?

    DOL or Degree of Operating Leverage

    measures how the fixed cost is deployed in

    operations. Should the firm decrease or

    increase it in its operations?

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    Financial Leverage

    How efficiently is the fixed charge capital

    used in firms finances

    Is it optimal?

    DFL or Degree of Financial Leverage

    measures how the interest, lease and other

    such fixed charges are deployed.

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    Degree of financialleverageThe degree of financial leverage

    (DFL) is defined as the percentage

    change in earnings per share [EPS] that

    results from a given percentage changein earnings before interest and taxes

    (EBIT):

    DFL = Percentage change in EPS

    divided by Percentage change in EBIT

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    Computation of Financial

    Leverage

    FL = EBIT

    EBT

    DFL = % change in EPS

    % change in EBIT

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    Degree of combinedleverage

    The degree of combined leverage is

    also known as degree of total leverage

    (DTL). To compute it use the following

    formula:

    DCL = DOL * DFL

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    Combined Leverage

    (DCL)

    How efficiently are all the fixed charges used in thefirm

    Is the business risk optimal?

    DCL or Degree of Combined Leverage measures

    how all fixed charges are deployed by the firm.

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    Computation of Combined

    Leverage

    DCL = (NI / NI) / (S / S)

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    Capital Structure Theories

    Weighted Average Cost of Capital.

    Net Income Approach.

    Net Operating Income Approach.

    Modigliani & Miller Theory.

    A ti i C it l St t

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    Assumptions in Capital Structure

    Theories

    Company distributes all its earnings as dividends to its

    shareholders.

    Taxation & its effect on cost of capital is ignored.

    Business risk is treated constant at different capitalstructure of company.

    No transaction costs & a company can alter its capital

    structure.

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    Weighted Average Cost of Capital

    WACC is defined as the weighted average cost ofvarious sources of finance.

    WACC is considered as the minimum rate of return

    required from project to pay-off the expected return of

    investors.The combined cost of Equity capital and Debt capital

    is the WACC for a company as whole.

    WACC = (Cost of Equity * %Equity) + (Cost of

    Debt * % Debt)

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    Net Income Approach

    This approach is given by Durant David.

    According to this approach capital structure decision is

    relevant to the valuation approach.

    As such a change in the capital structure causes an overall

    change in the cost of capital & also in the total value of thefirm.

    There are usually 3 basic assumptions of the approach

    - Corporate taxes do not exist.

    - Debt content does not change the risk perception of theinvestors.

    - Cost of debt is less than cost of equity.

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    Net IncomeApproach

    Value of Firm (V)Where,

    S = Market value of Equity.

    B = Market value of Debt.

    Market value of Equity (S)

    Where,

    NI = Net income available for Equity

    shareholdersKe = Equity capitalization rate

    eK

    NIS

    BSV

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    Net Operating Income Approach

    Value of the firm is independent on its Capitalstructure.

    It assumes that the Weighted average cost of capital, is

    unchanged irrespective of the level of gearing.

    NOI approach is opposite to the NI approach.Market value of the firm depends upon the net

    operating profit or EBIT.

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    Net Operating Income Approach contd

    The NOI approach is based on the following assumptions:

    The cost of debt is constant.

    There is no tax.

    Overall cost of the capital of the firm is constant.

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    Net Operating Income Approach contd

    Value of the Firm (V)

    Where,

    EBIT : Earnings before interest andtax

    KO : Overall cost of capital.

    Value of Equity (S)

    Where,

    S = Market value of Equity.B = Market value of Debt.

    OK

    EBITV

    BVS

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    Net Operating Income Approach contd

    Cost of Cost of Equity

    Capital

    WACC

    Cost of Debt

    0

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    MM THEORY

    Cost of capital is independent of Capital structure.

    It closely resembles Net operating income approach.

    It argues the overall cost of capital is the weighted

    average of cost of debt and cost of equity capital.

    Investors are rational

    There are no taxes or transaction cost.

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    Conclusion

    Under the net income and net operating

    approach cost of capital increases if the

    leverage decreases and vice-versa.

    Under the traditional and MM theory the cost

    of capital decreases if the leverage also

    decreases and vice-versa.

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