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  • 8/10/2019 Slides Sesshhion 18

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    GMP 14-15: Financial ManagementSession 18

    Uday Damodaran XLRI Jamshedpur

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    Session 18

    Beta: Fundamental Drivers;Leverage, Asset Beta and Equity Beta

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    Analyzing Risk, Going Deeper

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    Beta, and Risk Premium

    We said that desired rate of return is a function of risk andthat an index of the relevant risk (systematic risk) is beta.And how did we go around measuring it?

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    Beta

    How did we go around measuring it?What about the beta for hundreds of businesses whosestocks are not listed?

    Take betas of similar companies?

    Instead let us try and look at the concept of risk (and beta)in a non-numerical, analytical manner

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    Aswath Damodaran

    There are three approaches available for estimating theseparameters. The first is to use historical data on market pricesfor individual investments . The second is to estimate thebetas from the fundamental characteristics of the investment.

    The third is to use accounting data.

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    Risk Analytics

    Let us look at firm risk in a more analytical wayWhich, according to you, are the most risky sectors,companies?What are the major sources of risk?

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    Risk: Sensitivity of Sales to Changes in the Economy

    Economy

    TOP LINE

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    Ud D d

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    Firm 1 Firm 2 Firm 1 Firm 2 Firm 1 Firm 2

    Base Base ( I) (I) (II) (II)

    SALES 100 100 200 200 50 50

    VAR. COST 80 40 160 80 40 20FIXED COST 10 50 10 50 10 50

    EBIT 10 10 30 70 0 -20

    CASE (I): 100% increase in sales

    CASE (II): 50% decrease in sales

    Degree of Operating Leverage

    Ud D d

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    Which industries might be the..

    Diciest?Sir Richard Charles Nicholas Branson, and..

    A recession is when you have to tighten your belt;depression is when you have no belt to tighten. When you

    have lost your trousers, youre in the airline business Sir Adam Thomson, founder and chairman of BritishCaledonian Airlines

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    Uday Damodaran

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    FIRM 1 FIRM 2

    DOL 3 1.5

    Sales Stable, Very Volatile, VeryPredictable Unpredictable

    For which firm is EBIT more volatile?

    Business Risk

    Uday Damodaran

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    Business Risk

    Therefore:

    Business Risk (Variability in EBIT):

    Function of DOL, Variability in Q + Noise

    Uday Damodaran

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    Risk: 2. Matter of Choice

    Economy

    TOP LINE

    EBIT

    Variability in Q

    DOL

    + Noise!!

    Uday Damodaran

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    Connecting things

    EBIT

    Function ofcyclicality, DOL

    Function ofQ, Cost

    Structure

    Uday Damodaran

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    Business Risk

    Therefore:

    Business Risk (Variability in EBIT):

    Function of DOL, Variability in Q + Noise

    So, how do you lower business risk?

    Uday Damodaran

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    Risk: 3. Capital Structure!

    Economy

    TOP LINE

    EBIT

    PAT

    Uday Damodaran

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    Firm 1 Firm 2 Firm 1 Firm 2 Firm 1 Firm 2

    Base Base ( I) (I) (II) (II)

    SALES 100 100 200 200 50 50

    VAR. COST 70 70 140 140 35 35

    FIXED COST 10 10 10 10 10 10EBIT 20 20 50 50 5 5

    INTEREST 5 15 5 15 5 15

    PBT 15 5 45 35 0 -10

    Tax 7.5 2.5 22.5 17.5 0 -5

    PAT 7.5 2.5 22.5 17.5 0 -5

    EPS 0.5 0.5 1.5 3.5 0 -1

    Degree of Financial Leverage

    Uday Damodaran

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    Structural Risk

    Economy

    TOP LINE

    BOTTOM LINE

    ? EBIT

    Proxy?

    Proxy?

    Uday Damodaran

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    And thus.

    (Aswath Damodaran)the levered beta , which is also the betafor an equity investment in a firm or the equity beta , isdetermined both by the riskiness of the business it operatesin and by the amount of financial leverage it has taken on

    Uday Damodaran

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    Capital Budgeting and Risk

    Cost of equity f(Beta equity )

    Beta equity f(Cyclicality, Operating Leverage, FinancialLeverage)

    Cost of capital f(Betaasset

    )

    Beta assets f(Cyclicality, Operating Leverage)

    Got it?

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    Uday Damodaran

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    y XLRI Jamshedpur

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    Relationship between beta levered and beta unlevered

    L = u (1 + D/E )

    Got it?

    Uday Damodaran

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    y XLRI Jamshedpur

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    Bottom Up Betas

    Estimate betas for comparable firms; compute average betaand average leverageUn-lever the average beta by taking the average levered betaand using average financial leverage

    Compute the bottom up unlevered beta for the firm by taking aweighted average of the unlevered betas for the businessesthat the firm operates inCompute the leveraged beta for the firm using its financialleverage

    Lowers standard error [to s .e / sqrt(n)]!