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    Leverage Issues

    Optimal capital structure

    Operating leverage Capital structure theory

    Capital Structure

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    Cost Of Capital ( Theoretical) It is the discount rate that that would

    be used to determine the PV of aseries of future cash flows

    The minimum rate of return that mustbe earned by the firm on its investment

    so that its market value remainsunchanged

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    The Concept of Leverage

    You cannot easily move a large boulder.

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    The Concept of Leverage

    However, with the aid of a lever you can

    move an object many times your size.

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    Uncertainty about future operating income(EBIT), i.e., how well can we predict operatingincome?

    Note that business risk does not includefinancing effects.

    What is business risk?

    Probability

    EBITE(EBIT)0

    Low risk

    High risk

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    Business risk is affectedprimarily by:

    Uncertainty about demand (sales).

    Uncertainty about output prices. Uncertainty about costs.

    Product, other types ofliability.

    Operating leverage.

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    What is operating leverage, and

    how does it affect a firmsbusiness risk?

    Operating leverage is the use of fixedcosts rather than variable costs.

    If most costs are fixed, hence do notdecline when demand falls, then the

    firm has high operating leverage.

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    More operating leverage leads to morebusiness risk, for then a small sales

    decline causes a big profit decline.

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    What is financial leverage?

    Financial risk?

    Financial leverage is the use of debt andstock.

    Financial risk is the additional riskconcentrated on common stockholders as

    a result of financial leverage.

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    The Concept of Leverage In a financial context, the magnifying power

    of leverage can be used to help (or hurt) a

    firms financial performance. Operating leverage occurs due to fixed

    costs in the production process.

    With high fixed operating costs, a smallchange in sales will trigger a large changein operating income (EBIT).

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    Operating Leverage

    Measurement of Operating Leverage Degree of Operating Leverage (DOL)

    DOL > 1 means the firm has operatingleverage.

    DOL=% Change in EBIT% Change in Sales

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    Operating Leverage

    DOL=% Change in EBIT% Change in Sales

    Example: fixed costs = Rs1 and variable costs=0

    EBIT for Sales of Rs3 = Rs3 - Rs1 = Rs2

    EBIT for Sales of Rs4 = Rs4 - Rs1 = Rs3

    (Rs3 - Rs2)/Rs2 .50(Rs4 - Rs3)/Rs3 .33

    DOL = = = 1.5

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    DOL DOL = Contrb/ EBIT

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    Operating Leverage

    Measurement of DOL

    Calculation using alternate formula:

    DOL= Sales - Total VCSales -Total VC - FC

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    Operating Leverage

    Measurement of DOL

    Calculation using alternate formula:

    DOL= Sales - Total VCSales -Total VC - FC

    DOL = (Rs3 - Rs0) / (Rs3 - Rs0 -

    Rs1) = 1.5

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    Operating Leverage

    Measurement of DOL

    Calculation using per unit information:

    DOL= Sales - Total VCSales -Total VC - FC

    Q = 3,750 unitsSP = Rs 800 per unit

    VC = Rs 400 per unit

    FC = Rs 1,000,000 per

    year.

    Example:Example:

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    Operating Leverage

    Measurement of DOL

    Calculation using per unit information:

    DOL3,750 units =

    = 3

    3,750(800) 3,750(400)3,750(800) 3,750(400) 1,000,000

    DOL= Sales - Total VCSales-Total VC - FC

    Interpretation: If sales change 1%, then

    EBIT will change 3% (same direction).

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    What is financial leverage?

    Financial risk?

    Financial leverage is the use of debt inplace of equity

    Financial risk is the additional risk

    concentrated on common stockholdersas a result of financial leverage.

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    Financial leverage ratio definition

    and explanation:

    The financial leverage ratio is also

    referred to as the debt to equity

    ratio.

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    The financial leverage ratio indicates theextent to which the business relies on debt

    financing. Upper acceptable limit of the financial

    leverage ratio is usually 2:1, with no morethan one-third of debt in long term.

    A high financial leverage ratio indicatespossible difficulty in paying interest andprincipal while obtaining more funding.

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    What Does Degree Of Financial

    Leverage -DFL Mean?

    A leverage ratio summarizing theaffect a particular amount of financialleverage has on a company's earnings

    per share (EPS).

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    Financial leverage involves using fixedcosts to finance the firm, and will

    include higher expenses beforeinterest and taxes (EBIT). The higherthe degree of financial leverage, the

    more volatile EPS will be, all otherthings remaining the same. Theformula is as follows:

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    Financial Leverage Degree of Financial Leverage Finance a portion of the firms assets with

    securities that have fixed financial costs

    Debt Preferred Stock

    Financial Leverage measures changes inearnings per share as EBIT changes.

    DFLEBIT =% Change in NI

    % Change in EBIT

    Base Level of EBIT

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    Degree of Financial LeverageDegree of Financial Leverage measures the amount of risk

    a company takes up when it borrows more debt (andincreases the debt portionof its capital structure). The formula for Degree ofFinancial Leverage is:

    Degree of Financial

    Leverage

    Earnings Before Interest & Taxes (EBIT)

    Earnings Before Taxes (EBT)

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    Financial Leverage

    EBIT = Rs500,000

    Interest Charges = Rs200,000

    Example:

    DFLEBIT=500,000 =500,000

    500,000 200,000

    = 1.67 times

    Interpretation:When EBIT changes 1% (from

    an existing level of Rs500,000) Net Income

    will change 1.67% in the same direction.

    The formula is as follows:

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    Financial LeverageEBIT = Rs500,000

    Interest Charges = Rs200,000

    Example:

    DFLEBIT=500,000 =500,000

    500,000 200,000

    = 1.67 times

    Interpretation:When EBIT changes 1% (from

    an existing level of Rs500,000) Net Income

    will change 1.67% in the same direction.

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    To illustrate Degree of Financial Leverage,lets do a hypothetical question

    . Imagine there are 3 firms, Firm A, Firm Band Firm C. Each one has an interest

    expense of $12000 in the year 2006. TheEarnings Before Taxes for each firm is givenbelow in the table. Can you calculate theDegree of Financial Leverage using this

    data? Interest Expense = $80,000 x 15% = $12000

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    Firm A Firm B Firm C

    EBIT 25000 50000 75000

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    Firm A Firm B Firm C

    EBIT 25000 50000 75000

    EBT (EBIT -

    Interest

    Expense)

    25000 -

    12000

    = 13000

    50000 -

    12000

    = 38000

    75000 -

    12000

    = 63000

    Degree of

    FinancialLeverage

    (EBIT /

    EBT)

    25000 /13000

    = 1.92

    50000 /38000

    = 1.32

    75000 /63000

    = 1.19

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    Future returns based onprobability

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    A practical illustration

    Supposing elections are to be held in a short

    time and an analyst pictures the followingthree scenarios

    1) Scenario 1 with a probability of 025%

    A stable government with majority ruleA rate of return is forecasted to be around

    36%

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    2) Scenario 2 with a probability of

    0.50%

    A coalition government lasting its

    full term.

    A rate of return is forecasted to be

    around 26%

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    3) Scenario 3 with a probability of

    0.25%

    Re-elections in the immediate

    future.

    A rate of return is forecasted to be

    around 12%

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    This three scenarios will coverallpossible situations and hence the

    total of all the probabilities will be 1meaning there cannot be anotherpossible situation.

    We put the information in the form of atable

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    Scenario Probability ExpectedReturn

    1 0.25 36%

    2 0.50 26%

    3 0.25 12%

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    Now an investor will ask a very simplequestion considering all the possible

    situations and values involved whatwould be my average expected

    return?

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    The expected average return is nothingbut the weighted average return of all

    the returns and where the weights arethe respective probabilities.

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    Scenario Probability ExpectedReturn

    Average

    1 0.25 36% (.25*36) =9

    2 0.50 26% (.50*26)=13

    3 0.25 12% (.25*12)=3

    9+13+3=25%

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    Given a probability distribution of returns, the expected returncan be calculated using the following equation:

    where

    E[R] = the expected return on the stock,

    N = the number of states,

    pi = the probability of state i, and

    Ri = the return on the stock in state i.

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    Risk

    Given an asset's expected return, itsvariance can be calculated using the

    following equation:

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    where

    N = the number of states,

    pi = the probability of state i,

    Ri = the return on the stock in state i,and

    E[R] = the expected return on thestock.

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    The standard deviation is calculated asthe positive square root of the

    variance.

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    Indifference EBIT Example

    ABC Corp. currently has 200,000shares outstanding on the stock market

    with the current price being $20. TheBoard of Directors of the Corp want toincur a debt of $1 million by issuing junk

    bonds that have a coupon interest rateof 9% annually. At what point of EBITwould the Corp. be indifferent to havingdebt or NO debt?

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    Current Capital Structure = $20 x200,000 shares = $4,000,000 Equity

    New Capital Structure = $3,000,000Equity & $1,000,000 Debt

    - Current Stock Price Remains at $20.

    - To attain $3,000,000 of Equity, the # ofshares = 150,000.

    Annual Interest Expense Coupon

    Payments = 9% x 1,000,000 = $90,000S N Tara 55

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    No Debt With Debt

    Indifference EBITEBIT - 0

    200,000

    = EBIT - 90,000

    150,000

    Indifference EBIT

    150,000 EBIT = 200,000 (EBIT - 90,000)

    150,000 EBIT = 200000EBIT - 18000000000

    18000000000= 200,000 EBIT - 150,000 EBIT18000000000= 50,000 EBIT

    EBIT = 18000000000 / 50,000

    EBIT = $360,000

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    Interpretation of EBIT

    At a point where Earnings Before

    Interest & Taxes is $360,000, ABCCorp. will not care whether it has anyoutstanding debt issues, NO debt or a

    combination of both because at thispoint, the value of the Capital Structureis NOT affected.

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    Why does the bond rating and

    cost of debt depend upon theamount borrowed?

    As the firm borrows more money, thefirm increases its risk causing the

    firms bond rating to decrease, and its

    cost of debt to increase.

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    Other factors to consider when

    establishing the firms targetcapital structure?

    1. Industry average debt ratio

    2. TIE ratios under different scenarios3. Lender/rating agency attitudes

    4. Reserve borrowing capacity

    5. Effects of financing on control6. Asset structure

    7. Expected tax rate

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    Financial Leverage of Ten Largest Indian

    Companies, 2006

    Company Capital Gearing Income Gearing

    Debt ratio Debtequity ratio Interest coverage Interest to EBIT ratio

    1. Indian Oil 0.556 1.25:1 4.00 0.250

    2. HPCL 0.350 0.54:1 5.15 0.194

    3. BPCL 0.490 0.96:1 5.38 0.186

    4. SAIL 0.858 6.00:1 - ve - ve

    5. ONGC 0.106 0.12:1 53.49 0.019

    6. TELCO 0.484 0.94:1 0.99 1.007

    7. TISCO 0.577 1.37:1 1.62 0.616

    8. BHEL 0.132 0.15:1 8.36 0.120

    9. Reliance 0.430 0.75:1 3.46 0.289

    10. L&T 0.522 1.09:1 2.31 0.433

    11. HLL 0.027 0.03:1 264.92 0.004

    12. Infosys 0.000 0.00:1 NA* NA*

    13. Voltas 0.430 0.72:1 2.64 0.378

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    Three commonly used ratios for

    analyzing leverage are debt to assets,

    long term debt to equity and timesinterest earned. These ratios should

    be of interest to both creditors andmembers.

    Note

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    Times interest earned (TIE) is

    calculated by dividing earnings beforeinterest and taxes by interest

    payments. Creditors want to know if

    the organisations operations generate

    enough margins to cover the interestpayments.

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    Long-term Debt Ratios for

    Selected Industries

    Industry Long-Term Debt RatioPharmaceuticals 20.00%Computers 25.93Steel 39.76Aerospace 43.18Airlines 56.33

    Utilities 56.52

    Source: Dow Jones News Retrieval. Datacollected through December 17, 1999.

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    net earnings:

    Gross sales minus taxes, interest,depreciation, and other expenses.Net earnings are one of the most importantmeasures of a company's

    performance, since the pursuit of earnings isthe primary reasoncompanies exist. Sometimes net earningsincludes one-time and

    extraordinary items, and sometimes it doesnot. also called netearnings or net income orbottom line.