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    Chapter 16 -Planning the Firms

    Financing Mix

    2005, Pearson Prentice Hall

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    Balance Sheet

    Current Current

    Assets Liabilities

    Debt and

    Fixed Preferred

    Assets

    Shareholders

    Equity

    Financial

    Structure

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    Balance Sheet

    Current CurrentAssets Liabilities

    Debt and

    Fixed Preferred

    Assets

    Shareholders

    Equity

    Capital

    Structure

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    Why is Capital Structure Important?

    1) Leverage: Higher financial leveragemeans higher returns to stockholders,but higher risk due to fixed payments.

    2) Cost of Capital: Each source offinancing has a different cost. Capitalstructure affects the cost of capital.

    TheOptimal Capital Structure is theone that minimizes the firms cost ofcapital and maximizes firm value.

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    What is the Optimal CapitalStructure?

    In a perfect world environmentwith no taxes, no transaction costs

    and perfectly efficient financialmarkets, capital structure does notmatter.

    This is known as the Independencehypothesis:firm value is independentof capital structure.

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    Firm value does not depend oncapital structure.

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    Capital Structure: 100% equity, no debt

    Stock price: $10 per share

    Shares outstanding: 2 million Operating income (EBIT): $2,000,000

    Calculate EPS:

    With no interest payments and no taxes,

    EBIT = net income.

    $2,000,000/2,000,000 shares = $1.00

    Independence Hypothesis:Rix Camper Manufacturing

    Company

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    Capital Structure: 100% equity, no debt

    Stock price: $10 per share

    Shares outstanding: 2 million Operating income (EBIT): $2,000,000

    Calculate the Cost of Capital:

    Independence Hypothesis:Rix Camper Manufacturing

    Company

    k = + g = + 0 = 10%D1 1.00

    P 10.00

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    $20 million capitalization

    $8 million in debt issued to retire $8 million inequity.

    Equity = $12m / $20m = 60%

    Debt = $8m / $20m = 40%

    Capital Structure: 60% equity, 40% debt

    Shares outstanding: $12 million / $10 =1,200,000 shares.

    Interest = $8m x .06 = $480,000

    Independence Hypothesis:Rix Camper Manufacturing

    Company

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    Capital Structure: 60% equity, 40% debt

    Stock price: $10 per share

    Shares outstanding: 1.2 million Net income: $2,000,000 - $480,000 = $1,520,000

    Calculate EPS:

    $1,520,000/1,200,000 shares = $1.267

    Independence Hypothesis:Rix Camper Manufacturing

    Company

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    Capital Structure: 60% equity, 40% debt

    Stock price: $10 per share

    Shares outstanding: 1.2 million Net income: $2,000,000 - $480,000 = $1,520,000

    Calculate the Cost of Equity:

    Independence Hypothesis:Rix Camper Manufacturing

    Company

    k = + g = + 0 = 12.67%D1 1.267

    P 10.00

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    Capital Structure: 60% equity, 40% debt

    Stock price: $10 per share

    Shares outstanding: 1.2 million Net income: $2,000,000 - $480,000 = $1,520,000

    Calculate the Cost of Capital:

    .6 (12.67%) + .4 (6%) = 10%

    Independence Hypothesis:Rix Camper Manufacturing

    Company

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    Cost of

    Capital

    kc

    0% debt Financial Leverage 100% debt

    .

    kc = cost of equity

    kd = cost of debtko = cost of capital

    10%

    6%

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    .

    Cost of

    Capital

    kckd kd

    0% debt Financial Leverage 100% debt

    kc = cost of equity

    kd = cost of debtko = cost of capital

    10%

    6%

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    .

    Cost of

    Capital

    kckd kd

    0% debt Financial Leverage 100% debt

    kc = cost of equity

    kd = cost of debtko = cost of capital

    10%

    6%

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    Increasing leverage causesthe cost of equity (kc)

    to rise.Cost of

    Capital

    kckd kd

    0% debt Financial Leverage 100% debt

    kc = cost of equity

    kd = cost of debtko = cost of capital

    10%

    6%

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    Cost of

    Capital

    kckd

    kc

    kd

    Increasing leverage causesthe cost of equity (kc)

    to rise.

    0% debt Financial Leverage 100% debt

    kc = cost of equitykd = cost of debtko = cost of capital

    10%

    6%

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    Cost of

    Capital

    kckd

    kc

    kd

    Increasing leverage causesthe cost of equity (kc)

    to rise.

    What will

    be the net effect

    on the overall cost

    of capital?

    0% debt Financial Leverage 100% debt

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    10%

    6%

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    Cost of

    Capital

    kckd

    kc

    kd

    Increasing leverage causesthe cost of equity (kc)

    to rise.

    What will

    be the net effect

    on the overall cost

    of capital?

    0% debt Financial Leverage 100% debt

    kc = cost of equity

    kd = cost of debtko = cost of capital

    10%

    6%

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    kckd

    Cost of

    Capital

    kc

    ko

    kd

    0% debt Financial Leverage 100% debt

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    10%

    6%

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    Increasing leverage does notincrease the cost of equity (kc).

    Since debt (kd) is less expensivethan equity (kc), more debtfinancing would provide a lowercost of capital.

    A lower cost of capital wouldincrease firm value.

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    Since the cost of debt (kd) is lower

    than the cost of equity (kc) ...

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Since the cost of debt (kd) is lower

    than the cost of equity (kc)

    increasing leverage reduces the

    cost of capital (ko).

    Cost of

    Capital

    kc

    kd

    kc

    kdko

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Moderate Position

    The previous hypothesisexamines capital structure in aperfect market.

    The moderate position examinescapital structure under morerealistic conditions.

    For example, what happens if weinclude corporate taxes?

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    unlevered leveredEBIT 2,000,000 2,000,000

    - interest expense 0 (480,000)

    EBT 2,000,000 1,520,000- taxes (50%) (1,000,000) (760,000)

    Earnings available

    to stockholders 1,000,000 760,000Payments to all

    securityholders 1,000,000 1,240,000

    Rix Camper example:Tax effects of financing with debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    Even if the cost of equity rises

    as leverage increases, the

    cost of debt is

    very low...

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    becauseof the tax benefit

    associated with debt financing.

    Even if the cost of equity rises

    as leverage increases, the

    cost of debt is

    very low...

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    The low cost of debtreduces the cost of

    capital.

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    The low cost of debtreduces the cost of

    capital.

    ko

    kc = cost of equity

    kd = cost of debtko = cost of capital

    0% debt Financial Leverage 100% debt

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    Moderate Position

    So, what does the tax benefit of debtfinancing mean for the value of thefirm?

    The more debt financing used, thegreater the tax benefit, and the greaterthe value of the firm.

    So, this would mean that all firmsshould be financed with 100% debt,right?

    Why are firms not financed with 100%

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    Why is 100% Debt NotOptimal?

    Bankruptcy costs: costs offinancial distress.

    Financing becomes difficult toget.

    Customers leave due touncertainty.

    Possible restructuring or

    liquidation costs if bankruptcy

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    Agency costs: costs associated withprotecting bondholders.

    Bondholders (principals) lend money

    to the firm and expect it to be investedwisely.

    Stockholders own the firm and elect

    the board and hire managers (agents). Bond covenants require managers to

    be monitored. The monitoring

    expense is an agency cost, whichincreases as debt increases.

    Why is 100% Debt NotOptimal?

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    Cost of

    Capital

    kc

    kd

    0% debt Financial Leverage 100% debt

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

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    Cost of

    Capital

    kc

    kdkd

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kd

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    If a firm borrows too much, the

    costs of debt and equity will spike

    upward, due to bankruptcy costsand agency costs.

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    ko

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    ko

    kc = cost of equity

    kd = cost of debt

    ko = cost of capital

    0% debt Financial Leverage 100% debt

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    Cost of

    Capital

    kc

    kd

    kc

    kd

    ko

    Ideally, a firm should use leverage

    to obtain their optimum capital

    structure, which will minimize thefirms cost of capital.

    0% debt Financial Leverage 100% debt

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    EBIT-EPS Analysis - Used to help determinewhether it would be better to finance aproject with debt or equity.

    EPS = (EBIT - I)(1 - t) - P

    S

    I = interest expense, P = preferred dividends,

    S = number of shares of common stock

    outstanding.

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    EBIT-EPS Example

    Our firm has 800,000 shares of common stockoutstanding, no debt, and a marginal tax rate of40%. We need $6,000,000 to finance a proposedproject. We are considering two options:

    Sell 200,000 shares of common stock at $30 per

    share,

    Borrow $6,000,000 by issuing10% bonds.

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    Financing stock debtEBIT 2,000,000 2,000,000

    - interest 0 (600,000)

    EBT 2,000,000 1,400,000- taxes (40%) (800,000) (560,000)

    EAT 1,200,000 840,000

    # shares outst. 1,000,000 800,000EPS $1.20 $1.05

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    Financing stock debtEBIT 4,000,000 4,000,000

    - interest 0 (600,000)

    EBT 4,000,000 3,400,000- taxes (40%) (1,600,000) (1,360,000)

    EAT 2,400,000 2,040,000

    # shares outst. 1,000,000 800,000EPS $2.40 $2.55

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    If EBIT is $2,000,000, common

    stock financing is best. If EBIT is $4,000,000, debt

    financing is best. So, now we need to find a

    breakevenEBIT where neither

    is better than the other.

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    EPS

    EBIT$1m $2m $3m $4m

    stock

    financing

    0

    3

    2

    1

    bond

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    EPS

    EBIT$1m $2m $3m $4m

    bond

    financing

    0

    3

    2

    1

    bond

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    EPS

    EBIT$1m $2m $3m $4m

    bond

    financing

    stock

    financing

    0

    3

    2

    1

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    Set two EPS calculations equal to eachother and solve for EBIT:

    Stock Financing Debt

    Financing(EBIT-I)(1-t) - P = (EBIT-I)(1-t) - P

    S S

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    Stock Financing Debt Financing(EBIT-I)(1-t) - P = (EBIT-I)(1-t) - P

    S S

    (EBIT-0) (1-.40) = (EBIT-600,000)(1-.40)

    800,000+200,000 800,000

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    Stock Financing Debt Financing.6 EBIT = .6 EBIT - 360,000

    1 .8

    .48 EBIT = .6 EBIT - 360,000

    .12 EBIT = 360,000

    EBIT = $3,000,000

    bond

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    EPS

    EBIT$1m $2m $3m $4m

    bond

    financing

    stock

    financing

    0

    3

    2

    1

    For EBIT up to $3 million,

    stock financing is best.

    bond

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    EPS

    EBIT$1m $2m $3m $4m

    bond

    financing

    stock

    financing

    0

    3

    2

    1

    For EBIT up to $3 million,

    stock financing is best.

    For EBIT greater

    than $3 million,

    debt financing

    is best.