- •Intended Audience
- •1.1 Financing the Firm
- •1.2Public and Private Sources of Capital
- •1.3The Environment forRaising Capital in the United States
- •Investment Banks
- •1.4Raising Capital in International Markets
- •1.5MajorFinancial Markets outside the United States
- •1.6Trends in Raising Capital
- •Innovative Instruments
- •2.1Bank Loans
- •2.2Leases
- •2.3Commercial Paper
- •2.4Corporate Bonds
- •2.5More Exotic Securities
- •2.6Raising Debt Capital in the Euromarkets
- •2.7Primary and Secondary Markets forDebt
- •2.8Bond Prices, Yields to Maturity, and Bond Market Conventions
- •2.9Summary and Conclusions
- •3.1Types of Equity Securities
- •Volume of Financing with Different Equity Instruments
- •3.2Who Owns u.S. Equities?
- •3.3The Globalization of Equity Markets
- •3.4Secondary Markets forEquity
- •International Secondary Markets for Equity
- •3.5Equity Market Informational Efficiency and Capital Allocation
- •3.7The Decision to Issue Shares Publicly
- •3.8Stock Returns Associated with ipOs of Common Equity
- •Ipo Underpricing of u.S. Stocks
- •4.1Portfolio Weights
- •4.2Portfolio Returns
- •4.3Expected Portfolio Returns
- •4.4Variances and Standard Deviations
- •4.5Covariances and Correlations
- •4.6Variances of Portfolios and Covariances between Portfolios
- •Variances for Two-Stock Portfolios
- •4.7The Mean-Standard Deviation Diagram
- •4.8Interpreting the Covariance as a Marginal Variance
- •Increasing a Stock Position Financed by Reducing orSelling Short the Position in
- •Increasing a Stock Position Financed by Reducing orShorting a Position in a
- •4.9Finding the Minimum Variance Portfolio
- •Identifying the Minimum Variance Portfolio of Two Stocks
- •Identifying the Minimum Variance Portfolio of Many Stocks
- •Investment Applications of Mean-Variance Analysis and the capm
- •5.2The Essentials of Mean-Variance Analysis
- •5.3The Efficient Frontierand Two-Fund Separation
- •5.4The Tangency Portfolio and Optimal Investment
- •Identification of the Tangency Portfolio
- •5.5Finding the Efficient Frontierof Risky Assets
- •5.6How Useful Is Mean-Variance Analysis forFinding
- •5.8The Capital Asset Pricing Model
- •Implications for Optimal Investment
- •5.9Estimating Betas, Risk-Free Returns, Risk Premiums,
- •Improving the Beta Estimated from Regression
- •Identifying the Market Portfolio
- •5.10Empirical Tests of the Capital Asset Pricing Model
- •Is the Value-Weighted Market Index Mean-Variance Efficient?
- •Interpreting the capm’s Empirical Shortcomings
- •5.11 Summary and Conclusions
- •6.1The Market Model:The First FactorModel
- •6.2The Principle of Diversification
- •Insurance Analogies to Factor Risk and Firm-Specific Risk
- •6.3MultifactorModels
- •Interpreting Common Factors
- •6.5FactorBetas
- •6.6Using FactorModels to Compute Covariances and Variances
- •6.7FactorModels and Tracking Portfolios
- •6.8Pure FactorPortfolios
- •6.9Tracking and Arbitrage
- •6.10No Arbitrage and Pricing: The Arbitrage Pricing Theory
- •Verifying the Existence of Arbitrage
- •Violations of the aptEquation fora Small Set of Stocks Do Not Imply Arbitrage.
- •Violations of the aptEquation by Large Numbers of Stocks Imply Arbitrage.
- •6.11Estimating FactorRisk Premiums and FactorBetas
- •6.12Empirical Tests of the Arbitrage Pricing Theory
- •6.13 Summary and Conclusions
- •7.1Examples of Derivatives
- •7.2The Basics of Derivatives Pricing
- •7.3Binomial Pricing Models
- •7.4Multiperiod Binomial Valuation
- •7.5Valuation Techniques in the Financial Services Industry
- •7.6Market Frictions and Lessons from the Fate of Long-Term
- •7.7Summary and Conclusions
- •8.1ADescription of Options and Options Markets
- •8.2Option Expiration
- •8.3Put-Call Parity
- •Insured Portfolio
- •8.4Binomial Valuation of European Options
- •8.5Binomial Valuation of American Options
- •Valuing American Options on Dividend-Paying Stocks
- •8.6Black-Scholes Valuation
- •8.7Estimating Volatility
- •Volatility
- •8.8Black-Scholes Price Sensitivity to Stock Price, Volatility,
- •Interest Rates, and Expiration Time
- •8.9Valuing Options on More Complex Assets
- •Implied volatility
- •8.11 Summary and Conclusions
- •9.1 Cash Flows ofReal Assets
- •9.2Using Discount Rates to Obtain Present Values
- •Value Additivity and Present Values of Cash Flow Streams
- •Inflation
- •9.3Summary and Conclusions
- •10.1Cash Flows
- •10.2Net Present Value
- •Implications of Value Additivity When Evaluating Mutually Exclusive Projects.
- •10.3Economic Value Added (eva)
- •10.5Evaluating Real Investments with the Internal Rate of Return
- •Intuition for the irrMethod
- •10.7 Summary and Conclusions
- •10A.1Term Structure Varieties
- •10A.2Spot Rates, Annuity Rates, and ParRates
- •11.1Tracking Portfolios and Real Asset Valuation
- •Implementing the Tracking Portfolio Approach
- •11.2The Risk-Adjusted Discount Rate Method
- •11.3The Effect of Leverage on Comparisons
- •11.4Implementing the Risk-Adjusted Discount Rate Formula with
- •11.5Pitfalls in Using the Comparison Method
- •11.6Estimating Beta from Scenarios: The Certainty Equivalent Method
- •Identifying the Certainty Equivalent from Models of Risk and Return
- •11.7Obtaining Certainty Equivalents with Risk-Free Scenarios
- •Implementing the Risk-Free Scenario Method in a Multiperiod Setting
- •11.8Computing Certainty Equivalents from Prices in Financial Markets
- •11.9Summary and Conclusions
- •11A.1Estimation Errorand Denominator-Based Biases in Present Value
- •11A.2Geometric versus Arithmetic Means and the Compounding-Based Bias
- •12.2Valuing Strategic Options with the Real Options Methodology
- •Valuing a Mine with No Strategic Options
- •Valuing a Mine with an Abandonment Option
- •Valuing Vacant Land
- •Valuing the Option to Delay the Start of a Manufacturing Project
- •Valuing the Option to Expand Capacity
- •Valuing Flexibility in Production Technology: The Advantage of Being Different
- •12.3The Ratio Comparison Approach
- •12.4The Competitive Analysis Approach
- •12.5When to Use the Different Approaches
- •Valuing Asset Classes versus Specific Assets
- •12.6Summary and Conclusions
- •13.1Corporate Taxes and the Evaluation of Equity-Financed
- •Identifying the Unlevered Cost of Capital
- •13.2The Adjusted Present Value Method
- •Valuing a Business with the wacc Method When a Debt Tax Shield Exists
- •Investments
- •IsWrong
- •Valuing Cash Flow to Equity Holders
- •13.5Summary and Conclusions
- •14.1The Modigliani-MillerTheorem
- •IsFalse
- •14.2How an Individual InvestorCan “Undo” a Firm’s Capital
- •14.3How Risky Debt Affects the Modigliani-MillerTheorem
- •14.4How Corporate Taxes Affect the Capital Structure Choice
- •14.6Taxes and Preferred Stock
- •14.7Taxes and Municipal Bonds
- •14.8The Effect of Inflation on the Tax Gain from Leverage
- •14.10Are There Tax Advantages to Leasing?
- •14.11Summary and Conclusions
- •15.1How Much of u.S. Corporate Earnings Is Distributed to Shareholders?Aggregate Share Repurchases and Dividends
- •15.2Distribution Policy in Frictionless Markets
- •15.3The Effect of Taxes and Transaction Costs on Distribution Policy
- •15.4How Dividend Policy Affects Expected Stock Returns
- •15.5How Dividend Taxes Affect Financing and Investment Choices
- •15.6Personal Taxes, Payout Policy, and Capital Structure
- •15.7Summary and Conclusions
- •16.1Bankruptcy
- •16.3How Chapter11 Bankruptcy Mitigates Debt Holder–Equity HolderIncentive Problems
- •16.4How Can Firms Minimize Debt Holder–Equity Holder
- •Incentive Problems?
- •17.1The StakeholderTheory of Capital Structure
- •17.2The Benefits of Financial Distress with Committed Stakeholders
- •17.3Capital Structure and Competitive Strategy
- •17.4Dynamic Capital Structure Considerations
- •17.6 Summary and Conclusions
- •18.1The Separation of Ownership and Control
- •18.2Management Shareholdings and Market Value
- •18.3How Management Control Distorts Investment Decisions
- •18.4Capital Structure and Managerial Control
- •Investment Strategy?
- •18.5Executive Compensation
- •Is Executive Pay Closely Tied to Performance?
- •Is Executive Compensation Tied to Relative Performance?
- •19.1Management Incentives When Managers Have BetterInformation
- •19.2Earnings Manipulation
- •Incentives to Increase or Decrease Accounting Earnings
- •19.4The Information Content of Dividend and Share Repurchase
- •19.5The Information Content of the Debt-Equity Choice
- •19.6Empirical Evidence
- •19.7Summary and Conclusions
- •20.1AHistory of Mergers and Acquisitions
- •20.2Types of Mergers and Acquisitions
- •20.3 Recent Trends in TakeoverActivity
- •20.4Sources of TakeoverGains
- •Is an Acquisition Required to Realize Tax Gains, Operating Synergies,
- •Incentive Gains, or Diversification?
- •20.5The Disadvantages of Mergers and Acquisitions
- •20.7Empirical Evidence on the Gains from Leveraged Buyouts (lbOs)
- •20.8 Valuing Acquisitions
- •Valuing Synergies
- •20.9Financing Acquisitions
- •Information Effects from the Financing of a Merger or an Acquisition
- •20.10Bidding Strategies in Hostile Takeovers
- •20.11Management Defenses
- •20.12Summary and Conclusions
- •21.1Risk Management and the Modigliani-MillerTheorem
- •Implications of the Modigliani-Miller Theorem for Hedging
- •21.2Why Do Firms Hedge?
- •21.4How Should Companies Organize TheirHedging Activities?
- •21.8Foreign Exchange Risk Management
- •Indonesia
- •21.9Which Firms Hedge? The Empirical Evidence
- •21.10Summary and Conclusions
- •22.1Measuring Risk Exposure
- •Volatility as a Measure of Risk Exposure
- •Value at Risk as a Measure of Risk Exposure
- •22.2Hedging Short-Term Commitments with Maturity-Matched
- •Value at
- •22.3Hedging Short-Term Commitments with Maturity-Matched
- •22.4Hedging and Convenience Yields
- •22.5Hedging Long-Dated Commitments with Short-Maturing FuturesorForward Contracts
- •Intuition for Hedging with a Maturity Mismatch in the Presence of a Constant Convenience Yield
- •22.6Hedging with Swaps
- •22.7Hedging with Options
- •22.8Factor-Based Hedging
- •Instruments
- •22.10Minimum Variance Portfolios and Mean-Variance Analysis
- •22.11Summary and Conclusions
- •23Risk Management
- •23.2Duration
- •23.4Immunization
- •Immunization Using dv01
- •Immunization and Large Changes in Interest Rates
- •23.5Convexity
- •23.6Interest Rate Hedging When the Term Structure Is Not Flat
- •23.7Summary and Conclusions
- •Interest Rate
- •Interest Rate
14.4How Corporate Taxes Affect the Capital Structure Choice
Financial managers spend a great deal of time making decisions about their firms’cap-
ital structures. In addition, stock prices react dramatically when firms make major
changes in their capital structures.6
This suggests that it probably would be unwise to
stick with the conclusion that the capital structure decision is irrelevant.
The apparent relevance of the capital structure decision suggests that some of the
assumptions underlying the Modigliani-Miller Theorem are unrealistic and that relaxing
them may have important implications for the firm’s capital structure choice. The most
obviously unrealistic assumption is that of no taxes. Taxes have a major effect on the cash
flows of firms and, as a result, strongly influence their capital structure decisions. Indeed,
a recent study of 392 CFOs by Graham and Harvey (2001) found that 45% surveyed
agreed that tax considerations played either an important or very important role in their
capital structure choices. The preceding two sections indicated that, in the absence of
taxes, a firm’s value does not depend on its capital structure. It follows that, in the absence
of other market frictions, minimizing the amount paid in taxes maximizes the cash flows
to the firm’s equity holders and debt holders, thereby maximizing the firm’s total value.
In the U.S., the existence of corporate taxes favors debt financing. This is because,
in the U.S., interest is a tax-deductible corporate expense. However, since dividends
are viewed as distributions of profits rather than expenses of doing business, they are
not tax deductible.7
Howard Hughes’s perceptive analysis of the tax benefits of debt financing,
described in the chapter’s opening vignette, predated the academic discussion of debt
and taxes by several years. This section explores the types of tax benefits he mentioned
in more detail, specifically considering situations in which there are (1) corporate taxes,
(2) tax-deductible interest expenses, and (3) no personal taxes. In the next section and
in Chapter 15 we will explore the effects of personal taxes.
How Debt Affects After-Tax Cash Flows
If the corporate tax rate is T,a firm with pretax cash flows of X˜,which we will assume
c
for simplicity is EBIT, and interest payments of rDhas taxable income of X˜rD
DD
and pays a corporate tax of (˜rD)T.Since interest expense is tax deductible, a
X
Dc
firm can reduce its tax liabilities and thus increase the amount it distributes to its secu-
rity holders by issuing additional debt. Therefore, in the absence of personal taxes,
transaction costs, and bankruptcy costs, and holding the pretax cash flow generated by
the firm constant, the value-maximizing capital structure includes enough debt to elim-
inate the firm’s tax liabilities.
5Studies by Asquith and Wizman (1990) and Warga and Welch (1993) indicate that bondholders lost
money in a number of other leveraged buyouts as well.
6
Stock price reactions to corporate events like capital structure changes are discussed in Chapter 19.
7Afirm can carry back the net losses in its current year as far as two years. When there is not
enough income in the previous two years to allow the loss carryback, the firm can carry forward those
losses for up to 20 years to offset future taxable profits. Hence, the corporate tax advantage of debt
financing applies even to firms that are temporarily unprofitable, although the debt tax shield is used less
efficiently if it must be carried forward.
-
Grinblatt
1033 Titman: FinancialIV. Capital Structure
14. How Taxes Affect
© The McGraw
1033 HillMarkets and Corporate
Financing Choices
Companies, 2002
Strategy, Second Edition
510Part IVCapital Structure
To examine how debt affects firm values in the presence of corporate taxes, assume
that the firm is financed with a combination of equity and a risk-free perpetuity bond
(see Chapter 2), which pays interest at a fixed rate of rforever. The year tsum of the
D
after-(corporate) tax payments to its debt and equity holders is expressed in the fol-
lowing equation:
-
˜(X˜rD)(1T) rD
(14.1)
C
ttDcD
By rearranging terms, the firm’s cash flows to its debt and equity holders can be
expressed as the sum of the cash flows that the firm would have generated if it were
an all-equity firm—its unlevered cash flows—plus the additional cash flows it gener-
ates because of the tax gain from debt:
-
˜X˜(1T) rDT
(14.2)
C
ttcDc
How Debt Affects the Value of the Firm
As Chapter 13 showed, the value of the firm is the present value of the stream of future
cash flows generated by the unlevered cash flows and tax savings expressed in equation
(14.2). To determine how the value of the firm changes with a change in leverage, note
˜
that X(1 T) is the year tcash flow that would be achieved by an unlevered firm.
tc
˜(1T), X˜(1T), . . . ,
Therefore, the present value of this series of cash flows, X
1c2c
must equal the value of the firm had it been unlevered (V). In addition, recall that
U
with static perpetual debt the present value of the firm’s yearly tax savings rTDis
Dc
TD.This implies the following result:
c
-
Result
14.4
Assume that the pretax cash flows of the firm are unaffected by a change in a firm’s cap-
ital structure, and that there are no transaction costs or opportunities for arbitrage. With cor-
porate taxes at the rate T,but no personal taxes, the value of a levered firm with static
c
risk-free perpetual debt is the value of an otherwise equivalent unlevered firm plus the prod-
uct of the corporate tax rate and the market value of the firm’s debt; that is
-
VV TD
(14.3)
LUc
As equation (14.3) illustrates, the value of the firm increases with leverage by the
amount TD,which is the tax gain to leverage.
c
To illustrate how tax-deductible debt can increase the cash flows to shareholders
as well as increase firm value, Example 14.3 recalculates the answer to Example 14.2,
assuming that there are corporate taxes.
Example 14.3:The Effect of Corporate Taxes on Cash Flows to Equity and
Debt Holders
Recall from Example 14.2 that Stanley Kowalski held 10 percent of the firm’s equity and that
the firm was increasing its debt level from $10,000 to $60,000.In this example the firm uses
perpetuity bonds instead of zero-coupon bonds for debt financing and retires $50,000 in
equity with the proceeds.
Compute Stanley’s cash flow (1) in the original low-leverage scenario and (2) in the high-
leverage scenario in which the investor attempts to undo the firm’s capital structure change
by selling $5,000 of his shares and using the proceeds to buy $5,000 in bonds.Assume
there is a corporate tax on earnings at a rate of T.
c
Answer:The cash flow to Stanley given the initial low level of debt is
˜.1[˜r$10,000](1T)
CX
low levDc
Grinblatt |
IV. Capital Structure |
14. How Taxes Affect |
©
The McGraw |
Markets and Corporate |
|
Financing Choices |
Companies, 2002 |
Strategy, Second Edition |
|
|
|
-
Chapter 14
How Taxes Affect Financing Choices
511
A leverage increase of $50,000 that is offset by a change in Stanley’s portfolio will now
yield cash flows to Stanley of
˜.1[X˜r$60,000](1T)] r$5,000
C
high levDcD
.1[˜r$10,000](1T) rT$5,000
X
DcDc
Afirm that increases its debt level by issuing, as in Example 14.3, an additional
$50,000 in bonds and buying back $50,000 in equity is doing its stockholders a favor.
In this case, a 10 percent equity investor in the firm, like Stanley, who sells $5,000 in
stock and uses the proceeds to buy $5,000 in bonds, increases his cash flow by
rT$5000 while restoring the rest of his portfolio to where it was before the firm
Dc
increased its leverage. This insight generalizes to every shareholder irrespective of his
percentage ownership in the firm, and to every debt issuance, with more debt generat-
ing a larger benefit to the shareholder. This implies the following result:
-
Result 14.5
Assume that the pretax cash flows of the firm are unaffected by a change in a firm’s cap-ital structure, and that there are no transaction costs or opportunities for arbitrage. With cor-porate taxes but no personal taxes, a firm’s optimal capital structure will include enoughdebt to completely eliminate the firm’s tax liabilities.
Example 14.4 illustrates the tax gains associated with leverage for a hypothetical
leverage increase by RJR Nabisco in 1987, before its leveraged buyout.
Example 14.4:Recapitalizing RJR Nabisco
In 1987, RJR Nabisco earned $2,304 million before interest and taxes, out of which $488
million was paid out in interest and $735 million was paid out in taxes.Suppose that RJR
chose to recapitalize by distributing to its shareholders$5 billion in 9.4 percent notes, requir-
ing $470 million in annual interest payments.Assuming that the investment choice and the
pretax cash flows (and EBIT) of the firm are unchanged, how would this additional $470 mil-
lion affect the cash flows to a tax-exempt shareholder?
Answer:From RJR’s annual report, we compute the following:
-
Recapitalization
1987 (in $millions)
(in $millions)
-
EBIT
$2,304
$2,304
Net interest expenses
488
958
EBT
1,816
1,346
Taxes (rate 40.5%)
735
545
Net income
1,081
801
Gain from extraordinary item
128
128
Net profits (a)
1,209
929
Net investment (b)
739
739
Dividends [(a) (b)]
470
190
CF to shareholders (from stock and bonds)
470
660
($1.88/share)
($2.64/share)
The difference in the cash flows between the two scenarios, $190 million ($660 $470)
equals the tax savings from the debt, .405
.094
$5 billion.
-
Grinblatt
1037 Titman: FinancialIV. Capital Structure
14. How Taxes Affect
© The McGraw
1037 HillMarkets and Corporate
Financing Choices
Companies, 2002
Strategy, Second Edition
512 |
Part IVCapital Structure |
14.5 |
How Personal Taxes Affect Capital Structure |
Atax-exempt shareholder, such as a pension fund, is indifferent about whether the cash
flows of a firm come in the form of interest on debt, dividends on equity, or capital
gains on equity as long as the form of the payment does not affect the magnitude of
the payment. Since the total cash flows to the equity and debt holders of firms are
larger when cash flows are paid out in the form of debt interest payments instead of
retained or paid as dividends, tax-exempt shareholders will prefer firms to have high
leverage. However, investors who pay personal taxes prefer to receive income in the
form of capital gains because capital gains can always be deferred and, in many coun-
tries, are taxed at lower rates than interest or dividend income.8As a result, the aver-
age tax rate on stock income T,which generally has a capital gains component, is less
E
than the average tax rate on debt income T,which is taxed as ordinary income; that
D
is, TT.This preference for capital gains income can lead some taxable share-
ED
holders to prefer firms with less leverage.
The Effect of Personal Taxes on Debt and Equity Rates of Return
We first examine how personal taxes affect the expected rates of return required to
induce investors to hold debt securities instead of equity securities. In general, debt is
less risky than equity and thus requires a lower expected rate of return. To simplify this
analysis, we assume that debt is risk-free with a promised coupon and return of r.We
D
also assume that investors are risk neutral, so that the expected return of equity, r,
E
which more generally can be viewed as a pretax zero-beta expected return, differs from
ronly because of taxes. (Our results apply to positive beta equity with risk-averse
D
investors if we first adjust expected returns downward by their risk premiums in the
formulas we present here.)
Which Investors PreferDebt and Which PreferEquity.In the absence of taxes
and other market frictions, the expected return of zero-beta equity equals the return on
riskless debt (see Chapter 5). With personal taxes, however, it is necessary to account
for the fact that the returns to equity, which often come in the form of capital gains,
are generally taxed less heavily than the returns to debt. To compensate taxable
investors for its relative tax disadvantage, the pretax return on debt should exceed the
pretax zero-beta expected return on equity.
This pretax return difference leads tax-exempt investors to prefer debt to equity.
However, if the return difference is not too large, investors in the highest tax brackets
should prefer equity to debt. There will also be investors who are indifferent between
holding debt and equity. The personal tax rates on debt and equity of these indifferent
investors satisfy the following condition:
-
r(1T)r(1T)
(14.4)
DDEE
8Capital gains tax rates change from year to year as well as from country to country. For example,
Hong Kong and Taiwan have no tax on capital gains. In the United States, the tax rate on capital gains
has been as low as 40 percent of the ordinary income tax rate; in 1999 the highest federal tax rate on
capital gains income was 20 percent while the highest rate on dividend and interest income was 39.6
percent. There also are state taxes on capital gains and interest and dividend income which could affect
the attractiveness of debt and equity financing. State taxes differ from state to state and will not be
considered in this text.
Grinblatt |
IV. Capital Structure |
14. How Taxes Affect |
©
The McGraw |
Markets and Corporate |
|
Financing Choices |
Companies, 2002 |
Strategy, Second Edition |
|
|
|
-
Chapter 14
How Taxes Affect Financing Choices
513
so that the after-tax expected return is the same for each security. In general, if
r(1T) r(1T)for a particular investor incurring tax rates of Tand T—
DDEEDE
that is, the after-tax return to debt exceeds the after-tax expected return to equity—the
investor will prefer debt to equity. If the inequality is reversed, the investor will prefer
equity to debt.
Example 14.5:Personal Tax Preferences forHolding Debt versus
EquitySecurities
Assume that the expected rates of return on debt and zero-beta equity securities are as follows:
r7%
D
r6%
E
John has a tax rate on debt income of 40 percent, and George has a tax rate on debt income
of 20 percent.Both individuals are subject to the same marginal tax rate on equity income,
the capital gains rate, which is 20 percent.Which investor prefers the debt security and which
prefers the equity?
Answer:For John, the after-tax rate of return on debt is 4.2 percent, which is less than
his after-tax expected rate of return on zero-beta equity, which is 4.8 percent.However,
George receives an after-tax rate of return on debt of 5.6 percent, which exceeds his after-
tax rate of return on the equity security of 4.8 percent.Hence, John prefers the equity invest-
ment, and George prefers the debt investment.
The Analysis When Investors Have Identical Tax Rates.To understand how per-
sonal taxes affect the choice between issuing debt and issuing equity, consider the total
cash flows distributed to the firm’s debt and equity investors. For simplicity, assume
that the personal tax rates, Tand T, do not differ across investors.The after-tax cash
DE
flow Cthat these investors receive is determined by corporate taxes, personal taxes,
and the way in which the firm is financed. Exhibit 14.4 illustrates this as a stream of
cash that starts with all the firm’s realized pretax cash flows Xand branches out into
smaller streams that reflect the cash distributed to debt and equity holders, and to the
government in the form of taxes. To keep this illustration simple, Exhibit 14.4 assumes
that the firm pays out all its earnings and that its earnings before interest and taxes
(EBIT) exceed its promised interest payment, rD.
D
As Exhibit 14.4 illustrates, some of the cash, rD,is diverted into a branch of the
D
stream labeled “Payment to debt holders.” This branch of the stream reaches a fork
where some of the cash flows go to the government in the form of personal taxes on
the debt interest payments while the rest goes to the debt holders as an after-tax return.
The upper branch of the stream carries the pretax cash that flows to the equity hold-
ers. Part of this cash, (XrD)T,is diverted to the government in the form of cor-
Dc
porate taxes. The remainder of the firm’s cash flows, (XrD)(1 T), flows to the
Dc
firm’s equity holders, where (XrD)(1 T)Tis diverted to the branch labeled “Per-
DcE
sonal taxes on equity income,” with the rest going to equity holders as an after-tax return.
By summing the branches labeled after-tax return to debt holders (bottom left) and
after-tax return to equity holders (top right), we derive the total after-tax cash flow
stream flowing to the debt and equity holders:
-
C(XrD)(1 T)(1 T) rD(1 T)
(14.5a)
DcEDD
By rearranging terms, equation (14.5a) can be rewritten as:
CX(1 T)(1 T) rD[(1 T) (1 T)(1 T)](14.5b)
cEDDcE
-
Grinblatt
1041 Titman: FinancialIV. Capital Structure
14. How Taxes Affect
© The McGraw
1041 HillMarkets and Corporate
Financing Choices
Companies, 2002
Strategy, Second Edition
514Part IVCapital Structure
EXHIBIT14.4The Earnings Stream
-
After-tax return
to equity holders
After corporate tax
(X – r D D)(1 – T c )(1 – T E )
Earnings X
return to equity holders
(X – r D D)(1 – T c )
-
Payment
Personal
to debt
Corporate
taxes
holders
taxes
on equity
income
r D D
(X – r D D)T c
(X – r D D)(1 – T c )T E
-
After-tax
Personal
return to
taxes
debt
on debt
holders
income
-
rD D(1 – T D )
rD DTD
where the last part of equation (14.5b), rD[(1 T) (1 T)(1 T)], represents
DDcE
the tax gain from leverage.
If the level of debt is permanently fixed, this tax gain can be viewed as a perpe-
tuity that accrues tax free to the firm’s debt and equity investors. It can be valued by
discounting the perpetuity payments at the after-(personal) tax rate on debt r(1 T)
DD
or, equivalently, at the after-(personal) tax return on equity (see equation (14.4)). The
present value of this perpetual stream of tax savings, obtained by dividing the right side
of equation (14.5b) by r(1 T), is TDwhere Tis given by
DDgg
-
T1 (1T)(1T)
cE
(14.6)
g1T
D
This generalizes Result 14.4 to include the effect of personal taxes.
-
Result
14.6
Assume that the pretax cash flows of the firm are unaffected by a change in a firm’s cap-
ital structure, and that there are no transaction costs or opportunities for arbitrage. If
investors all have personal tax rates on debt and equity income of Tand T,respectively,
DE
and if the corporate tax rate is T,then the value of a levered firm exceeds the value of an
c
otherwise equivalent unlevered firm by TD;that is
g
VV TD,
LUg
where
Grinblatt |
IV. Capital Structure |
14. How Taxes Affect |
©
The McGraw |
Markets and Corporate |
|
Financing Choices |
Companies, 2002 |
Strategy, Second Edition |
|
|
|
-
Chapter 14
How Taxes Affect Financing Choices
515
T1 (1T)(1T)
cE
g1T
D
If Tin equation (14.6) is positive, firms will want to issue enough debt to elimi-
g
nate their tax liability; if Tis negative, firms will want to include no debt in their cap-
g
ital structures. Firms will be indifferent about their debt level if Tis zero, which is
g
the case when the following equality holds:
-
(1 T) (1 T)(1 T)
(14.7)
DcE
When this equality holds, each investor pays directly in personal taxes and indirectly
through the corporate tax the same amount in taxes for every pretax dollar that the firm
earns. This holds regardless of whether the earnings are distributed in the form of inter-
est payments to debt holders or accrue as capital gains to stockholders. Thus, the
investor and firm are indifferent about the capital structure choice the firm makes when
equation (14.7) holds. Note that this condition is different from the condition that makes
the same investor indifferent about holding debt versus equity, equation (14.4).
Example 14.6:The Effect of Corporate Taxes and Personal Taxes on the Tax
Gain from Leverage
In 2000 the maximum personal income tax rate was 40 percent, the maximum corporate tax
rate was 35 percent, and the rate on capital gains was 20 percent.Using these tax rates,
what is the tax gain from leverage?
Answer:From equation (14.6) T1 (.65
.8)/.6 .133.
g
The preceding example illustrates that personal taxes can significantly reduce the tax
advantage of debt. Twill be further reduced if one accounts for the fact that capital gains
g
can be deferred as well as taxed at a rate lower than the ordinary income tax rate.
As shown below, the zero-beta firm’s after-tax cost of capital will be the same for
debt and equity if equation (14.7) applies and if its investors are indifferent between
holding debt or equity. To prove this, combine equation (14.7), which provides the con-
dition for the firm to be indifferent between debt and equity, with equation (14.4), which
provides the condition for an investor to be indifferent between holding debt or equity,
to yield:
-
r(1T)r
(14.8)
DcE
The left-hand side of the equation is the firm’s after-(corporate) tax cost of debt;
the right-hand side its after-tax (and pretax) cost of equity. Thus, equation (14.8) states
that the after-tax cost of capital (adjusted for risk premiums) is the same for debt and
equity whenever the personal tax rates of the firm’s investors make them indifferent
about debt versus equity financing. Note, also, that if the left-hand side of equation
(14.8) is larger than the right-hand side, firms will find equity financing to be cheaper
(T0) if its investors are indifferent, and vice versa.
g
Capital Structure Choices When Taxable Earnings Can Be Negative
Up to this point we have assumed that firms can always utilize their interest tax shields.
However, this is unrealistic for many firms. Many firms have extremely low taxable
earnings even before taking into account the interest tax deduction. For example, many
start-up firms with substantial non-debt tax shields,such as R&D and depreciation
deductions, and very little current revenues, have no taxable earnings. This fact will
-
Grinblatt
1045 Titman: FinancialIV. Capital Structure
14. How Taxes Affect
© The McGraw
1045 HillMarkets and Corporate
Financing Choices
Companies, 2002
Strategy, Second Edition
516Part IVCapital Structure
allow us to develop a theory of optimal capital structure, based solely on taxes, in which
different firms, each with “indifferent investors” as discussed above, have different opti-
mal mixes of debt and equity financing.
Since firms with low taxable earnings will not always be able to take advantage
of the tax gain associated with leverage, they will prefer equity financing if the returns
on equity and debt satisfy equation (14.8) for those firms that will be paying corporate
taxes with certainty; that is, r(1T)r,where T(throughout this subsection) is
EcDc
the corporate tax rate for those firms that will be paying the full corporate tax rate. In
other words, firms that are indifferent between debt and equity when they are assured
of using the debt tax deduction will prefer equity financing when they are uncertain
about being able to use the tax deduction. For such firms to issue debt, (1) the after-
tax cost of debt (adjusted for its risk premium) must be less than the (risk-premium
adjusted) cost of equity when the firm can use the debt tax shield.9In addition, if firms
are to include equity in their capital structures, (2) the cost of debt financing must be
greater than the cost of equity financing when the firm cannot take advantage of the
interest tax deduction. Statements (1) and (2) imply:
–
rr(1 T)r(14.9)
DEcD
–
The inequality r(1 T)rimplies that a firm that has positive taxable income
EcD
(XrD) would have achieved a lower cost of capital if it had issued more debt.
D
–
However, the inequality rrimplies that a firm with negative taxable income
DE
(XrD), which cannot take advantage of the interest tax deduction, would have
D
achieved a lower cost of capital had it issued more equity.
If the inequalities in equation (14.9) are satisfied, firms will have an optimal cap-
ital structure consisting of both debt and equity. Under certainty, the optimal capital
structure includes just enough debt to eliminate the firm’s taxable earnings (XrD).
D
When firms are uncertain about their taxable earnings, their optimal debt levels can
be determined by weighing the costs associated with using higher cost debt in situ-
ations where the firm cannot use the interest tax shield against the benefit of hav-
ing a lower after-tax cost of debt, and hence lower weighted average cost of capi-
tal in situations where the firm can use the full debt tax shield.
This point is illustrated below.
Prodist and Pharmcorp
Consider two firms that initially have equal amounts of debt.
-
•
The first firm, Prodist, is engaged primarily in production and distribution while thesecond firm, Pharmcorp, is a pharmaceutical company with high depreciation deductions.
•
Assume that each firm currently has equal EBITDAand wishes to raise $14 million innew capital with either debt or equity. (For simplicity, rule out the possibility of a
debt-equity mix.)
•
Assume that Pharmcorp’s EBITD is negative because the firm has high depreciation
deductions. However, Prodist has no nondebt tax shieldsand positive taxable income.
9See DeAngelo and Masulis (1980) for a discussion of this point. We have presented this theory under
the assumption that all investors have the same personal tax rates and that these tax rates make them
indifferent about holding debt and equity. We recognize that some investors are not taxed and that
personal tax rates will differ between investors when there are graduated income tax rates. However, as
the appendix to this chapter indicates, firms may care most about investors who have personal tax rates
that make them indifferent about holding debt or equity. In equilibrium, the costs of debt and equity may
be set so that the most reluctant investor in the firm’s debt is one who is indifferent between debt and
equity.
Grinblatt |
IV. Capital Structure |
14. How Taxes Affect |
©
The McGraw |
Markets and Corporate |
|
Financing Choices |
Companies, 2002 |
Strategy, Second Edition |
|
|
|
-
Chapter 14
How Taxes Affect Financing Choices
517
-
EXHIBIT14.5
Debt-Equity Trade-Offs fora Distribution Company and a
Pharmaceutical Company
-
Prodist
Pharmcorp
(Distribution Company)
(Pharmaceutical Company)
-
Debt
Equity
Debt
Equity
Item
(in $000s)
(in $000s)
(in $000s)
(in $000s)
-
EBITDA
$ 56,000
$ 56,000
$ 56,000
$ 56,000
Nondebt tax shields
0
0
58,000
58,000
EBIT
56,000
56,000
2,000
2,000
Interest expense
1,680
0
1,680
0
Taxable income
54,320
56,000
3,680
2,000
-
Corporate tax (T34%)
18,469
19,040
0
0
c
Net income
35,851
36,960
3,680
2,000
-
Return to new shareholders
(10% of $14,000)
0
1,400
0
1,400
-
Tax shields subtracted
earlier for tax purposes
58,000
58,000
-
Cash flows available to
original shareholders
$ 35,851
$ 35,560
$ 54,320
$ 54,600
When evaluating whether to issue debt or equity, the firms take into account the
following information:
r12%
D
r10%
E
Capital to be raised $14,000,000
T34%
c
Therefore, r(12%) r(10%) (1 T)r(7.92%).
DEcD
Exhibit 14.5 illustrates how the capital structure choices of Prodist and Pharmcorp
affect the cash flows to the original shareholders of each firm, assuming that the firms
held no previous debt. Exhibit 14.5 shows the after-tax cash flows available to the equity
holders when the two firms issue debt and when they issue equity. In this scenario, Pharm-
corp equity holders are better off if the firm issues equity because they receive
$54,600,000 instead of $54,320,000, whereas Prodist’s shareholders are better off if the
firm issues debt because they receive $35,851,000 instead of $35,560,000. The compa-
nies make different decisions because Prodist can use the tax shield benefit of debt and
Pharmcorp cannot.
Exhibit 14.5 assumes that Pharmcorp’s negative taxable earnings and Prodist’s positive
taxable earnings are certain. Of course, earnings are likely to be uncertain in the real world.
Nevertheless, since Pharmcorp has high depreciation deductions at any given debt level, the
possibility of its having negative taxable income during some period is much more likely
than it would be for Prodist. As a result, Pharmcorp’s optimal capital structure is likely to
include less debt than that of Prodist.
Given that firms with nondebt tax shields, such as large depreciation and
research and development expenditures, are more likely to have negative taxable
income at any given debt level, they should have lower debt levels than firms
-
Grinblatt
1049 Titman: FinancialIV. Capital Structure
14. How Taxes Affect
© The McGraw
1049 HillMarkets and Corporate
Financing Choices
Companies, 2002
Strategy, Second Edition
518Part IVCapital Structure
without nondebt tax shields. Nondebt tax shields are probably an important deter-
minant of the capital structures of biotech firms such as Amgen which may have
substantial value but very little taxable earnings in the near future.10However, non-
debt tax shields are probably not relevant to the capital structure choice of a firm
like AT&Twith a long history of positive taxable earnings. If AT&Twere to real-
ize negative taxable income in the present year, it could use the losses to offset past
earnings and receive an immediate refund. If the tax losses are very large, it could
defer them to offset future earnings. Thus, it would be extremely unlikely for AT&T
to lose the tax benefits associated with debt financing. Hence, from a pure tax stand-
point, AT&Tmay be better off issuing debt to fund its new investment. However,
start-up firms with large depreciation write-offs and R&D expenditures may have
negative or only slightly positive taxable incomes for a long period of time. Since
these firms may not be able to take advantage of available tax credits even if they
can be deferred for many years, they will be better off financing their investments
with equity instead of debt.
Result 14.7 summarizes the implications of the preceding discussion.
-
Result 14.7
Assume there is a tax gain from leverage, but the taxable earnings of firms are low rela-tive to their present values.
-
•
With riskless future cash flows, firms will want to use debt financing up to the pointwhere they eliminate their entire corporate tax liabilities, but they will not want to
borrow beyond that point.
•
With uncertainty, firms will pick the debt ratio that weighs the benefits associatedwith the debt tax shield when it can be used against the higher cost of debt in caseswhere the debt tax shield cannot be used.
•
Firms with more nondebt tax shields are likely to use less debt financing.
The Marginal tax rateon a corporation’s profits, which is the extra tax paid per
additional dollar of profit, are often less than the statutory tax rate. Studies by Gra-
ham (1996, 2000) find that the effective marginal tax ratesof most U.S. corpora-
tions, which take into account that firms frequently employ various tax shields to defer
their tax liabilities, are often below the statutory 35 percent rate. John Graham calcu-
lated that in 1998 only about one-third of the U.S. public corporations had effective
marginal tax rates of 35 percent, and about two-fifths had effective rates of less than
5 percent. As Example 14.6 illustrated, those corporations with an effective tax rate
of 35 percent, which include most of the largest U.S. corporations, have a significant
tax gain associated with leverage. However, for the majority of the smaller corpora-
tions, the tax gain associated with leverage is likely to be quite small.
