AFM 373 Hayes Lecture 8 Capital Structure & WAAC

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    AFM 373

    Lecture 8

    Weighted Average Cost ofCapital (WACC)

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    ACC 690 Course Overview

    1. Introduction; Managing C/A; Cash Flow Forecasting

    2. Managing C/L; Issuing Short Term Debt & ABL3. Issuing LTD; Debt Ratings; Debt Covenants

    4. Issuing Equity; IPOs, PE, VC

    5. Wtd. Average Cost of Capital; Determining Capital Structure

    6. Valuation Overview; Intro to M&A7. Mergers & Acquisitions - Structure; Leveraged Buyouts

    8. Mergers & Acquisitions - Process; Due Diligence

    9. Capital Budgeting; Lease vs. Buy/Borrow

    10. Financial Distress & Turnarounds

    11. Financial Risk Management & Derivative Use

    12. Dividend & Payout Policy; Managing Corporate Investments

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    Weighted Average Cost of Capital

    (WACC)

    The weighted average cost of capital (WACC)

    serves three primary purposes:

    1. To evaluate capital project proposals.2. To set performance targets for management to

    sustain or grow market values, and

    3. To measure management performance.

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    Steps in Solving for the WACC

    1. Identify the sources of capital (Debt and Equity).

    2. Estimate the market values for each source of

    capital and determine the market value weights.

    3. Estimate the marginal, after-tax, and after-

    floatation cost for each source of capital.

    4. Calculate the weighted average.

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    What is Included in WACC ?

    Cost of Each Type of Capital for the Company,proportionally weighted, typically including:

    Debt Costs:

    Bank loans

    Long-term debtbonds/debentures

    Equity Costs:

    Preferred equity costs

    Common equity costs

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    Weighted Average Cost of Capital - WACC

    PSED

    PSK

    PSED

    DK

    PSED

    EK psdeWACC

    Need to calculate for each type of capital:

    1) market value of each type of capital

    2) % of each type of capital in total capital,

    3) and the respective marginal cost of each (Kd , Ke, Kps)

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    Why Use Current Market Rates for

    each Type of Capital?

    The Firm is making a Key Decision NOW

    Therefore, the cost of capital 5 months, 5 years or

    5 decades ago is irrelevant.

    What is relevant NOW is the rate that each type ofcapital costs in todays economic environment for

    this particular firm.

    Sometimes called the Marginal Cost of Capital

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    Cost of Debt - Kd

    This is the current cost to the firm for borrowing

    funds based on:

    Current interest rate levels

    Default risk of company

    Tax Shield from Interest

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    Importance of Tax Deductibility of Interest

    Key Concept:

    in WACC equation Kd - is after tax cost of debt,

    reflecting that interest is tax deductible

    Therefore Kd = rd(1-t)

    Where:

    rd= pre-tax cost of Debt

    t = Marginal tax rate of the firm( Fed+ Prov.)

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    WACC- Simple Capital Structure

    Once you have the specific marginal costs of capital (after accounting for taxes

    and floatation costs) and you have found the appropriate weights to use, the

    actual calculation of a WACC is a simple matter.

    )1(

    V

    DTK

    V

    SKKWACC dea

    The cost of equity

    times the market

    value weight of

    equity

    The cost of debt

    after tax times the

    market value weight

    of debt

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    Weighting Each Capital Component

    Each Type of Equity would have its own

    weighting component

    Each Types of Debt would have its ownweighting component

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    WACC - Spreadsheet Example

    (1) (2) (3) (4) = (2)*(3)

    Type of

    Capital

    Specific

    Marginal Cost

    after tax and

    floatation

    costs

    Market

    Value

    Weights

    Weighted

    Specific

    Marginal

    Cost

    Long-Term Debt 5.5% 43.0% 0.02365

    Preferred Stock 11.4% 11.0% 0.01254

    Common Stock 12.9% 46.0% 0.05934

    WACC = 9.55%

    WACC is the sum of the weightedspecific marginal costs of each source ofcapital.

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    Determining - Current Market Value

    of a Bond

    Requires market value of debt (not book value)

    rd = the market rate of debt given default risk (not necessarilythe coupon rate, but the current market rate for that company to issue at)

    This is the rate that you discount back the cash flows at.

    N

    Nt

    tt

    )r(1

    bondofvalueface

    )r(1

    CouponBondCorporateofValueMkt

    d

    1

    d

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    Cost of Preferred Equity

    If viewed preferred as perpetual, has a fixed dividend,

    (PV of a perpetuity formula)

    Preferred Share dividends are paid from after tax

    dollars - (do not tax effect the rate)

    prefofpricemarket

    dividend)(or totalshareperdividendK

    ps

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    Market Value of Common Equity

    For a Public company:

    = # of common shares O/S X current stock price

    If there are warrants and options, ( in the money) you

    must calculate the equity like options current market

    value and add to common equity value

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    Market Value of Common Equity

    Cost of Equity may be observable in the Market, through

    comparable securities.

    Various models can be used to estimate Cost of Equity.

    We will emphasize Capital Asset Pricing Model(CAPM). According to some studies 80%+ use this method.

    Originated by Prof. William Sharpe, Stanford U. in 1964

    For his work on CAPM, Sharpe shared the 1990 Nobel Prize

    in Economics with Markowitz and Miller.

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    Capital Asset Pricing Model (CAPM)[calculating the Ke]

    jFMFj RRERK ))((

    Risk Free Rate

    Market Risk Premium

    RM= Expected Return on MarketSystematic risk of individual security - tendency ofthe security to move with all the other securities in the market and by how

    much

    Expected Rate of Return or E(Re)

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    Risk-Based Models and the Cost of

    Common EquityUsing the CAPM to Estimate the Cost of Common Equity

    CAPM can be used to estimate the required return by

    common shareholders.

    It can be used in situations where DCF methods will

    perform poorly (growth firms) CAPM estimate is a market determined estimate

    because:

    The RF (risk-free) rate is the benchmark return and is measured

    directly, today as the yield on 91-day T-bills The market premium for risk (MRP) is taken from current market

    estimates of the overall return in the market place less RF (ERM

    RF)

    i k d d l d h f

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    Risk-Based Models and the Cost of Common

    EquityUsing the CAPM to Estimate the Cost of Common Equity

    As a single-factor model, we estimate the common shareholders required

    return based on an estimate of the systematic risk of the firm (measured by the

    firms beta coefficient)

    Where:

    Ke = investors required rate of return

    e = the stocks beta coefficient

    Rf = the risk-free rate of return

    MRP= the market risk premium (ERM - Rf)

    MRPRK eFe [ 20-26]

    Ri k B d M d l d h C f

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    Risk-Based Models and the Cost of

    Common EquityEstimating the Market Risk Premium

    Rfis observable (yield on 10+ year Govt Bonds) Not T-bill rates

    Getting an estimate of the market risk premium is one of the

    more difficult challenges in using this model.

    We really need a forward looking of MRP or a forward looking

    estimate of the ERM

    One approach is to use an estimate of the current, expected MRP

    by examining a long-run average that prevailed in the past.

    MRPRK eFe [ 20-26]

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    Canadian Market Risk Premium

    (MRP)

    (1938-2005)

    The consensus is that the Canadian MRP over the

    long-term bond yield is between 4.0 and 5.5%.

    Stock returns exceeded Bond returns by 5.17%Source: Booth & Cleary ; data from Canadian Institute of Actuaries

    Average

    Investment Return

    Canada T-Bills 5.20%

    Canada Bonds 6.62%

    Canadian Stocks 11.79%

    U.S. Stocks 13.15%

    21

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    Cost of Common Equity

    Estimating Beta

    After obtaining estimates of the two

    important market rates (Rfand MRP), an

    estimate for the company beta is required.

    In some cases, Beta may have to be

    unlevered and re-levered?

    Why ?

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    Unlevering and Re-levering Beta

    If the debt level changes dramatically, beta forEquity may have to be re-calculated.

    For example, a significant new Debt issuance, or a

    large Debt repayment.

    Why ?

    The main impact of leverage on WACC is the

    interest tax shield.

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    Unlevering and Re-levering Beta

    We can unlever and relever Beta using the Hamada

    Equation (there are several others that serve the

    purpose).

    Hamada essentially combined the effects of CAPM

    with M&M theory. Assumes constant amount of debt (vs. constant D/E)

    It separates out the effect of financial leverage from

    the underlying business risk of the firm by comparing

    a firm with an unlevered counterpart.

    U l i d R l i B t

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    Unlevering and Re-levering Beta

    an Example going from D/E of 1.5 to 4.0

    ( assume a 35% Tax rate)

    BL =BU * (1+ (D/E*(1-T))

    BU = BL / (1+ (D/E*(1-T))

    If Original D / (D+E) =.60

    Then D / E= .60 /.40 (i.e. 1.5:1)

    Original Levered Beta = 1.25

    Then Bu = 1.25 / 1+(60/.40) *(1-.35)

    Bu= 1.25 / 1.975

    Bu=.63

    R l i B t E l

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    Re-levering Beta- Example

    Going from D/E of 1.5:1 to 4:1

    with 35% Tax Rate

    BL =BU (1+ (D/E)*(1-T))

    BU = BL / (1+ (D/E) *(1-T))

    New D / (D+E) =.80

    Then D / E= .80 /.20 (4:1)

    Then New Levered Beta isThen BL = .63 *(1+(1-.35)*.80/.20)

    BL= .63 * 2.6

    BL= 1.64

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    Re-levering Beta- Example

    with 35% Tax Rate

    Now, use the new levered Beta to

    determine revised Ke and WACC!

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    Preferred SharesGeneral Features Shares can have a number of designationscommon, ordinary, Class A and

    preferred

    Preferred shares typically occupy a position between the companies creditorsand common shares

    They have a prior claim on assets ahead of common shares in a windup or

    dissolution of the company

    Prefs are usually entitled to a fixed dividend payment out of net earnings

    Cumulative Feature - dividends do not have to be paid, but if skipped unpaiddividends accumulate.

    Most are non-voting, unless a certain number of dividends have been missed

    (typically 8 quarterly) ; then they have voting privileges

    There is no maturity date

    Prefs do not have a trust indenture (like debt does). The description of preferreds

    is in the companys charter

    There are many different features that preferred shares can have, some strengthen

    the issuers position and others protect the purchaser

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    Preferred Shares - From an Issuers Perspective

    Issuers perspective - Prefs are debt that get treated as equity

    from rating agencies and regulators the dividend can be suspended - unlike debt, where the co. would go into default

    dividend is paid out of after tax dollars, same as a regular common share

    dividend

    Motivation to Issue Preferred Shares - overall two main types of

    issuers:i) Corporations that are regulated a) firms want more equity but regulator says no- ie

    company that has rate of return considerations

    b) regulator wants firm to have more equity than they wish

    ii) Corporations trying to maintain a debt rating (avoid a lower rating), or corporations that do

    not want dilution of have control issues

    Many features and options - flavour of the times: hard retraction, soft

    retraction, redeemable, auction set

    Currently Issuers are - approximately 30% Financial Institutions, 50%

    utilities, 20 % industrials

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    Preferred Share Features

    Most preferreds have a fixed dividend expressed as a % of

    par or a stated value e.g. 8% of par or $2.00 (par is typically $25)

    Other Common Features Convertiblethe holder can convert the pref into common shares at a

    predetermined price (conversion price) for a certain time period. Once the

    underlying common reaches that level the prefs price starts to reflect the

    common stocks mkt price

    Redeemablemost convertible prefs are redeemablewhich gives the issuer

    the right to force conversion into the underlying shares, when the market price

    of these shares is above the conversion price.

    Retractablemeans the holder can require the company to buy back theretractable preferred on a specified date(s) and at a predetermined price

    (retraction price)

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    Preferred Shares - Investor Perspective

    Dividend Tax Credit

    Because dividends are paid from a companys after tax earnings thegovernment gives investors a bit of a tax break (ie pay less tax ondividends)

    Dividend Tax Credit: dividends are taxed at a lower rate

    The calculation (which is confusing) consists of grossing up theamount of dividend by 25%, calculating the federal taxes and

    deducting a federal tax credit of 16.667% of dividend received . Theprovinces also have their own dividend tax credit for provincial taxes

    as a rule of thumb most investors consider preferreds as a debtalternative and gross up Cdn preferred dividends by a set amount inorder to equate (compare) returns with those of interest bearing

    instruments (bonds, GICs)

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    Market Value WeightsAn Example

    Given:

    Market price for common stock = $21.50

    Bonds are trading for 95% of face value

    In order to calculate market value (MV) weights, you will need

    to know the total market value of debt, and common stock (and

    preferred stock if the company uses it.)

    To calculate total MV you need to know the current price of the

    security in each class, as well as the total number of securities

    outstanding:

    Total Market Capitalization = Price Quantity

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    Market Value Weights - Example

    XYZ Company LimitedBalance Sheet

    as at January 30, 2xxx

    ASSETS LIABILITIES:

    Current Assets $147,000 Current Liabilities $75,250

    Net Fixed Assets 15,000,250 8.5% 2020 Mortgage Bonds 4,000,000

    Common stock (1,000,000 outstanding) 7,155,000Retained earnings 3,917,000

    TOTAL ASSETS $15,147,250 TOTAL LIABILITIES AND O.

    EQUITY $15,147,250

    Number of common sharesoutstanding is read from the

    balance sheet.

    Face value of bonds are

    $1,000, therefore there mustbe 4,000 bonds outstanding.

    The following balance sheet date, when combined with market

    price data, wil l allow you to calculate MV weights.

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    Market Value WeightsAn Example Continued

    Total MV of Equity = Price per share times number of shares = 1M $21.50 = $21.5M

    Total MV of Bonds = Price per bond times number of bonds = $950 4,000 = $3,800,000

    Type of

    Capital

    Market

    price Number

    Total Market

    Value

    Market

    Value

    Weight

    Bonds $950.00 4,000 $3,800,000 15.02%

    Stock $21.50 1,000,000 $21,500,000 84.98%

    TOTAL= $25,300,000 100.00%

    These weights could now be used to calculate WACC.

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    Bond ValueGeneral Formula

    )k(

    Fk

    )k(IB

    n

    bb

    n

    b

    1

    1111

    [ 20-12]

    Where:I = interest (or coupon ) payments

    kb = the bond discount rate (or market rate)

    n = the term to maturity

    F = Face (or par) value of the bond

    In the example, you didnt have to calculate the bond value because you weregiven the fact that it was trading at 95% of par.

    In the event that you do, however, simply use this equation

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    Floatation Costs

    Issuing or floatation costs are incurred by a firm when itraises new capital through the sale of securities in theprimary market.

    These costs include: Underwriting discounts paid to the investment dealer

    Direct costs associated with the issue including legal andaccounting costs

    The result: Net proceeds on the sale of each security is less than what the

    investor invests, and

    The component cost of capital > investors required return.

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    Average Floatation Costs

    Commercial paper 0.125%

    Medium-term notes 1.0%

    Long-term debt 2.0%Equity (large) 5.0%

    Equity (small) 5.0% - 10.0%

    Equity (private) 10.0% and up

    Average Issuing Costs

    Floatation costs for

    debt securities is

    lowest because debt is

    normally privately

    placed with large

    institutional investors

    not requiring

    underwriting costs andbecause debt is either

    issued by high quality

    issuers or sits at the

    top of the priority of

    claims list in the case

    of default.

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    The Component Cost of Debt

    The cost of debt is a function of:

    The investors required rate of return The tax-deductibility of interest expense

    The floatation costs incurred to issue new debt

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    WACCCommon Calculation

    Errors Cost of Debt

    Any Ideas ??

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    WACCCommon Calculation Errors

    Cost of Debt

    Must Use Using Market Value ofDebt (versus trading at Par 100).

    Must use (1-T) to get the after taxcost

    Forgetting Floatation Cost

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    WACCCommon Calculation Errors

    Cost of Preferred Shares

    Any Ideas ??

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    WACCCommon Calculation Errors

    Cost of Pref. Shares

    Must Use Market Value of Pref Shares

    Divide dividend per share by current

    market price per pref. share

    Forgetting Floatation Cost

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    WACCCommon Calculation Errors

    Cost of Common Shares

    Any Ideas ??

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    WACCCommon Calculation Errors

    Cost of Common Shares

    Must Use Market Value ofCommon

    In CAPM, for Rf, should useLonger Term Govt Debt (10 +Years), not short term T-Bill rates.

    Forgetting Floatation Cost

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    WACC -Summary

    WACC measures the firms cost of financing today,based on current capital market conditions.

    WACC is the Default Firms Discount Rate.

    WACC is used to make capital investment decisions.

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    Raptor IndustriesWACC Problem

    Review Solution

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    Determining Capital Structure

    in Practice

    47

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    Leverage in Practice

    The tradeoff theory helps explain: Why firms choose debt levels that are below the

    maximum, to avoid the costs of financial distress.

    Industry differences in the use of leverage because of

    different financial distress costs and the volatility of

    cash flows.

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    Needs to be viewed as a dynamic processToo aggressive can lead to financial distress andbankruptcy

    Excess conservatism can put you at a competitivedisadvantage by having a higher cost of capital, and

    may also flag you as a takeover target. The addition of a reasonable amount of debt to

    the capital structure can reduce WACC.

    Therefore shareholders receive greater should be

    reflected in increase stock price. All of the return, in excess of its WACC, are gains

    that accrue to common shareholders

    49

    Management of Capital Structure

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    Capital Structure in Practice

    Factors favouring corporate ability and willingnessto issue debt:

    Capital Market Conditions: Is this a Good Time toIssue Equity? Is this a Good Time to Issue Debt?

    Profitability (so the firm can use interest taxshield)

    Unencumbered tangible assets to be used ascollateral for secured debt.

    Stable business operations over time. Corporate size larger companies may have

    greater market acceptance.

    Growth rate of the firm.50

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    Primary Factors in Determining

    Debt Level (Deutsche Bank 2006)

    1. Effect on Credit Rating (57%)

    2. Ability to Continue Investments (52%)

    3. Tax Shield (32%)

    4. Ability to Continue Dividends (31%)5. Market Capacity for our Debt (29%)

    6. Debt Transaction Costs (25%)

    7. Action of Industry Competitors (20%)

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    Limits to Debt

    What Factors Limit a Companys

    Use of Debt ?

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    Limits to Debt

    Covenants in Existing Debt Securityre: Maximum Leverage

    Covenants in Existing Debt Securityre: Minimum Debt service

    High Interest Rates

    Ability to Service New Debt fromForecast Cash Flow