- •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
13.5Summary and Conclusions
Previous chapters examined how risk affects a firm’s cost ofwith real options. For this reason, the APVmethod shouldcapital and its capital allocation decisions in the absence ofbe implemented for all major investments,although corpo-taxes. This chapter showed how taxes and financingrations may want to beaware of their WACC and use thatchoices also can have an important effect. Two methods ofmethod to evaluate smaller projects.
accounting for the valuation effect of debt and taxes wereThe discussion up to this point has indicated that the fi-introduced: the weighted average cost of capital (WACC)nancing and the risk of an investment project determine itsmethod and the adjusted present value (APV) method.value. We discussed how different projects generate cashSome analysts prefer the WACC method to the APVap-flows with different levels of risk, but provided little dis-proach since it is the more commonly used approach. How-cussion about why different projects add more or less to aever, the WACC method is appropriate only in limited cir-firm’s debt capacity. At this point, one might conclude thatcumstances. For example, if the debt capacity of a projectfirms should use as much debt as possible since doing sochanges over time, the WACC method is difficult to apply.creates value. However, there are costs associated withIn addition, in contrast to the APVframework, the WACCdebt financing that offset these tax advantages, which is themethod cannot easily be adapted to evaluate investmentssubject of Part IV.
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492Part IIIValuing Real Assets
Key Concepts
Result 13.1:Analysts use two popular methods toResult 13.3:In the absence of taxes and other market
evaluate capital investment projects: thefrictions, the WACC of a firm is
APVmethod and the WACC method.independent of how it is financed.
Both methods use as their starting pointResult 13.4:When debt interest is tax deductible, the
the unlevered cash flows generated by theWACC will decline as the firm’s leverage
project, assuming that the project isratio, D/E,increases.
financed entirely by equity. The APV
Result 13.5:In the absence of default, the present value
method calculates the net present value
of a project’s future unlevered cash flows,
(NPV) of the all-equity financed project
discounted at the WACC, is identicalto the
and adds the value of the tax (and any
present value of cash flows to equityholders
other) benefits of debt. The WACC
discounted at the cost of equity. Hence, in
method accounts for any benefits of debt
the absence of default, the NPVs generated
by adjusting the discount rate.
with both present value calculations selectResult 13.2:Firms can easily use the APVmethodand reject the same projects. When debt
with a variety of valuation methods,default is a significant consideration, projects
including those that make use ofthat increase firm value may not increase
risk-adjusted discount rates, certaintythe values of the shares held by equity holders
equivalents, ratio comparisons, and realand vice versa. However, in these cases, it
options approaches.is more appropriate to analyze the values
of cash flows with the real options approach.
Key Terms
adjusted cost of capital formula482 |
|
non-recourse debt (project financing)489 |
adjusted present value (APV) method |
461 |
recovery rate479 |
cash flow to equity holders489 |
|
unlevered assets (UA)464 |
debt capacity462 |
|
unlevered cost of capital463 |
debt tax shield (TX)464 |
|
valuation by components461 |
marginal cost of capital486 |
|
weighted average cost of capital (WACC) method461 |
Exercises
Exercises 13.1–13.7 make use of the following data: |
|
In 1985, General Motors (GM) was evaluating the acquisition of Hughes Aircraft Corporation. Recognizingthat the appropriate WACC for discounting the projectedcash flows for Hughes was different from General Motors’WACC, GM assumed that Hughes was of approximatelythe same risk as Lockheed or Northrop, which had low-riskdefense contracts and products that were similar to those ofHughes. Specifically, assume the Hamada model of debt interest tax shields and the inputs in the table at right. |
Comparison Firm D/E E GM1.20.40 Lockheed.90.90 Northrop.85.70 D Target for acquisition of Hughes 1 E Hughes’s expected unlevered cash flow next year $300 million |
13.1.Analyze the Hughes acquisition by first computing the betas of the comparison firms, Lockheed and Northrop, as if they were all equity financed. Hint: Use equation (13.7) to obtain from . UAE13.2.Compute , the beta of the unlevered assets of UA the Hughes acquisition, by taking the average of the betas of the unlevered assets of Lockheed and Northrop. |
Growth rate of cash flows for Hughes 5% per year Marginal corporate tax rate 34% Appropriate discount rate on debt: riskless rate8% Expected return of the tangency portfolio 14% |
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493
13.3. |
Compute the for the Hughes acquisition at the |
machine adds only $300,000 to the firm’s debt |
|
E |
|
|
target debt level. |
capacity in years 1, 2, and 3, and only $200,000 in |
|
|
years 4 and5. |
13.4. |
Compute the WACC for the Hughes acquisition. |
|
|
|
Although net income includes the depreciation |
13.5. |
Compute the value of Hughes with the WACC |
|
|
|
deduction, it does not include the interest |
|
from exercise 13.4. |
|
|
|
deduction (that is, it assumes that the equipment is |
13.6. |
Compute the value of Hughes if the WACC of GM |
|
|
|
financed with equity). The equipment can be |
|
at its existing leverage ratio is used instead of the |
|
|
|
depreciated on a straight-line basis over a five-year |
|
WACC computed from the comparison firms (see |
|
|
|
life at $100,000 per year. The equipment is |
|
exercise 13.4). |
|
|
|
expected to be sold for $100,000 in five years. |
13.7. |
Apply the APVmethod. First, compute the value |
Net working capital (NWC) required to support |
|
of the unlevered assets of the Hughes acquisition. |
the new product is estimated to be equal to 10 |
|
Next, compute the present value of the tax shield. |
percent of net sales of the new product. The NWC |
|
Finally, add the two numbers. |
will be needed at the start of the year. This means |
13.8. |
Compute the WACC of Marriott’s restaurant |
that if sales were $1 in year 1, the NWC needed to |
|
division in Example 13.15 by doing the following: |
support this one dollar of sales would be |
|
a.Compute the of Marriott’s restaurant |
committed at the beginning of year 1. The |
|
E |
|
|
division using equation (13.6). |
company’s discount rate for the unlevered cash |
|
b.Apply the CAPM’s risk expected return |
flows associated with this new product is 18 |
|
equation to obtain the restaurant r,assuming a |
percent and the tax rate is 40 percent. |
|
E |
|
|
risk-free rate of 4 percent and a market risk |
What is the net present value of this project? |
|
premium of 8.4 percent. |
13.11.Compute the net present value of the mold in |
|
c.Estimate the WACC, using equation (13.8). |
Example 13.4, assuming that the debt capacity of |
|
d.Compare this WACC to the WACC in Example |
the project is zero. |
|
13.15. If they are not the same, you made a |
|
|
|
13.12.Use the risk-neutral valuation method to directly |
|
mistake. |
|
|
|
show that the risk-neutral discounted value of the |
13.9. |
GTAssociates have plans to start a widget |
existing debt of Unitron is $636,000 higher if the |
|
company financed with 60 percent debt and 40 |
project in Example 13.17 is adopted. |
|
percent equity. Other widget companies are |
|
|
|
13.13.Applied Micro Devices (AMD) currently spends |
|
financed with 25 percent debt and 75 percent equity |
|
|
|
$213,333 a year leasing office space in Austin. |
|
and have equity betas of 1.5. GT’s borrowing costs |
|
|
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Because lease payments are tax deductible at a 25 |
|
will be 14 percent, the risk-free rate is 8 percent, |
|
|
|
percent corporate tax rate, the firm spends about |
|
and the expected rate of return on the market is 15 |
|
|
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$160,000 per year [5 $213,333 3 (1 2 .25)] on an |
|
percent. The tax rate is 50 percent. Compute the |
|
|
|
after-tax basis to lease the building. The firm has |
|
equity beta and WACC for GTAssociates. |
|
|
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no debt and has an equity beta of 2. Assuming an |
13.10. |
The HTTCompany is considering a new product. |
expected market return of 14 percent and a risk- |
|
The new product has a five-year life. Sales and net |
free rate of 8 percent, its CAPM-based cost of |
|
income after taxes for the new product are |
capital is 20 percent. Suppose that AMD has the |
|
estimated in the following table: |
opportunity to buy its office space for $1 million. |
|
|
The office building is a relatively risk-free |
|
|
investment. The firm can finance 100 percent of |
|
Net Income |
the purchase with tax-deductible mortgage |
|
Net Salesafter Taxes |
|
|
|
payments. The mortgage rate is only slightly |
|
Year(in $000s)(in $000s) |
|
|
|
higher than the risk-free rate. How does AMD |
|
1$1,000$ 40 |
determine whether to buy the building or continue |
|
|
to lease it? |
|
22,00075 |
|
|
|
13.14.SL, Inc., is currently an all equity-firm with a beta |
|
34,000155 |
|
|
|
of equity of 1. The risk-free rate is 5 percent and |
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46,000310 |
|
|
|
the market risk premium is 8 percent. Assume the |
|
52,00075 |
|
|
|
CAPM is true and that there are no taxes. What is |
|
|
the company’s weighted average cost of capital? If |
|
|
management levers the company at a debt to |
|
The equipment to produce the new product costs |
|
|
|
equity ratio of 5 to 1, using perpetual riskless debt, |
|
$500,000. The $500,000 would be borrowed at a |
|
|
risk-free interest rate of 14 percent. However, the |
|
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1001 Titman: FinancialIII. Valuing Real Assets
13. Corporate Taxes and
© The McGraw
1001 HillMarkets and Corporate
the Impact of Financing on
Companies, 2002
Strategy, Second Edition
Real Asset Valuation
494Part IIIValuing Real Assets
what will the WACC become? How would your13.16.Akron, from the last example, is considering an
WACC answer change if the government raises theexchange offer where half of Akron’s outstanding
tax rate from zero to 30 percent?debt ($25 million) is retired. The purchase of this13.15.The Akron Company consists of $50 million indebt would be financed by issuing $25 million in
perpetual riskless debt and $50 million in equity.equity to the debt holders of Akron. Assuming
The current market value of its assets is $100debt policy that is consistent with the Hamada
million and the beta of its equity return is 1.2.model, what will Akron’s new WACC be after the
Assume the risk-free rate is 8 percent, theexchange offer?
expected return of the market portfolio is 13
percent per year, and the CAPM is true. Compute
the expected return of Akron’s equity and its
WACC assuming a 40 percent corporate tax rate.
References and Additional Readings
Benninga, Simon, and Oded Sarig. Corporate Finance: A
Valuation Approach.New York: McGraw-Hill, 1997.Copeland, Tom; Tim Koller; and Jack Murrin. Valuation:
Measuring and Managing the Value of Companies.
New York: John Wiley, 1994.
Cornell, Bradford. Corporate Valuation: Tools for
Effective Appraisal and Decision Making.Burr
Ridge, IL: Business One Irwin, 1993.
Damodoran, Aswath. Investment Valuation.New York:
John Wiley, 1996.
Hamada, Robert. “The Effect of a Firm’s Capital
Structure on the Systematic Risk of Common
Stocks.” Journal of Finance 27(1972), pp.435–452.Kaplan, Steven, and Jeremy Stein. “How Risky Is the
Debt of Highly Leveraged Transactions?” Journal of
Financial Economics27, no. 1 (1990), pp. 215–46.Kuwahara, Hiroto, and Terry Marsh. “The Pricing of
Japanese Equity Warrants.” Management Science38,
no. 11 (1992), pp. 1610–41.
Miles, James, and John Ezzell. “The Weighted Average
Cost of Capital, Perfect Capital Markets, and Project
Life: AClarification.” Journal of Financial and
Quantitative Analysis15, no. 3 (1980), pp. 719–30.
———. “Reformulating Tax Shield Valuation: ANote.”
Journal of Finance40, no. 5 (1985), pp. 1485–92.
Miller, Merton H. “Debt and Taxes.” Journal of Finance
32, no. 2 (1977), pp. 261–75.
Modigliani, Franco, and Merton Miller. “The Cost of
Capital, Corporate Finance and the Theory of
Investment.” American Economic Review48, no. 3
(1958), pp. 261–97.
———. “Corporate Income Taxes and the Cost of
Capital: ACorrection.” American Economic Review
53, no. 3 (1963), pp.433–92.
Myers, Stewart C. “Interactions of Corporate Financing
and Investment Decisions—Implications for Capital
Budgeting.” Journal of Finance29, no. 1 (1974),
pp.1–25.
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III. Valuing Real Assets |
13. Corporate Taxes and |
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The McGraw |
Markets and Corporate |
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the Impact of Financing on |
Companies, 2002 |
Strategy, Second Edition |
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Real Asset Valuation |
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Chapter 13 |
Corporate Taxes and the Impact of Financing on Real Asset Valuation |
495 |
PRACTICALINSIGHTS |
|
|
Allocating Capital forReal Investment
•Firms create value by implementing real investment
projects that generate returns that are tracked by
combinations of financial instruments with values that
exceed the projects’costs. (Introduction to Chapter 10,
10.2, 11.1)
•The expected return of a project’s tracking portfolio is
the appropriate discount rate to use to value the project.
(Sections 10.2, 11.1, and 11.2)
•When choosing between mutually exclusive investments,
pick the project with the highest NPV, which is rarely
the one with the highest IRR. (Section 10.2)
•EVATMis a concept that allocates NPVto the dates at
which future cash flows occur. (Section 10)
•Unlevered cash flows, which can be obtained from
forecasted earnings or cash flow statements, are critical
for valuation (Section 9.1 and Introduction to Chapter
13)
•The NPVrule is useful for evaluating many different
corporate decisions in addition to capital investments.
(Section 10.4)
•The Internal Rate of Return (or IRR) is a useful concept
for projects that can be described as consisting of an
initial negative cash flow, the cost of the project, and a
subsequent series of positive cash flows. In this case,
projects with internal rates of return that exceed the
expected rate of return on an appropriate tracking
portfolio create value for the firm. (Section 10.5)•Projects with future cash flows that alternate between
positive and negative values may have more than one
IRR.For these projects, the IRRgenerally is not a useful
concept. (Section 10.5)
•IRRs are not very useful when choosing between
mutually exclusive projects. (Section 10.5)
•Generally, a project with a negative PVcannot be
valued with the risk-adjusted discount rate method.
(Sections 11.1 and 11.2)
•Analysts often examine the return characteristics of
publicly traded firms with real investments that are
similar to the real investments being evaluated to
determine the appropriate tracking portfolio and
discount rate. (Sections 11.2 and 11.4)
•The APTand the CAPM require knowledge of betas
and the expected returns on the relevant tracking
portfolios. Analysts without good estimates for these
inputs sometimes use a dividend discount model to
compute discount rates. (Section 11.4)
•Acommon mistake made by many firms is to use the
firm’s own cost of capital rather than the expected
return of the appropriate tracking portfolio to value the
cash flows of a project. (Sections 11.5 and 13.3)
•Publicly traded firms consist of assets in place and
growth opportunities. Their betas are weighted averages
of the risks associated with these two sources of value.
Growth opportunities generally have much higher betas
than do assets in place. Therefore, the beta of a growth
firm is likely to be substantially higher than the betas of
their assets in place. Analysts should consider this when
using the comparison firm approach to estimate the cost
of capital for a project. (Section 11.5)
•Financial analysts tend to use a single discount rate to
evaluate an investment to simplify their analysis.
However, more accurate valuations can be achieved by
accounting for the fact that cash flowsat different
horizons should be discounted at different rates.
(Section 11.5)
•Asingle discount rate obtained from comparison firms
often is far too large for the cash streams of firms with
some negative low beta cash flows. (Section 11.5)•If a project’s cash flows tend to decline over time
following unusually large cash flow increases, and vice
versa, then expected cash flows generated far in the
future should be discounted at lower rates than the cash
flows occurring in the near future. (Section 11.5)
•It is often easier to evaluate projects by discounting
certainty equivalent cash flows at risk-free rates than by
discounting expected cash flows at risk-adjusted
discount rates. (Section 11.6)
•For projects that generate cash flows over many years,
the estimate of the cash flows in a risk-free scenario
may be the best way to obtain their certainty
equivalents and their present values. (Section 11.7)•Positive NPVinvestment opportunities often arise as a
result of past investments. When evaluating prospective
investments, consider the fact that additional investment
opportunities may be created as a result of this
investment. Option pricing theory may be useful for
evaluating these potential opportunities. (Section 12.1)•Option pricing theory has proved to be especially useful
for evaluating natural resource investments, like copper
mines and oil fields. (Section 12.2)
•Most real investments contain options. Firms have the
option to delay the project’s initiation date, expand the
project, downsize it, and liquidate the project. Option
pricing models are useful for evaluating all of these
options. (Section 12.2)
•More flexible manufacturing processes provide the firm
with more options. These options are more valuable in
more uncertain environments. (Section 12.2)
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Grinblatt
1005 Titman: FinancialIII. Valuing Real Assets
13. Corporate Taxes and
© The McGraw
1005 HillMarkets and Corporate
the Impact of Financing on
Companies, 2002
Strategy, Second Edition
Real Asset Valuation
496Part IIIValuing Real Assets
• |
Information from the option markets and the forward |
the expected return on the bond, is generally less than |
|
and futures markets often provide useful information |
the yield on a risky bond. (Section 13.3) |
|
for evaluating investment projects. (Sections 11.8 and |
•The APVand WACC methods assume that the manager |
|
12.2) |
wishes to maximize the combined value of the firm’s |
• |
When future cash flows are difficult to estimate, the |
outstanding debt and equity. For highly levered firms, |
|
financial ratios of comparable firms, like price/earnings |
projects that improve the value of the firm may |
|
ratios and market/book ratios, may be the best way to |
negatively affect the value of the firm’s stock. Analysts |
|
value an investment project. Price/earnings ratios are |
may, therefore, want to evaluate the project cash flows |
|
often used to evaluate real estate investments and to |
that accrue to the firm’s equity holders when such a |
|
value IPOs. (Section 12.3) |
possibility exists. However, this is sometimes difficult to |
• |
When interest payments are tax deductible, the value of |
do with traditional discounting methods. (Section 13.4) |
|
an investment project depends in part on its debt |
|
|
capacity. (Section 13.1) |
|
|
|
Financing the Firm |
• |
Both the APVand the WACC methods account for the |
|
|
debt tax shield when they value a project. Although the |
•National and local governments often subsidize debt |
|
WACC method is currently more popular, the APV |
financing, either indirectly through the tax system or |
|
method is the superior method. (Sections 13.2 and |
directly by giving cheap financing to attract investments |
|
13.3) |
that they view favorably. Firms should take advantage |
• |
The APVmethod can be combined with every approach |
of these financing bargains and account for them when |
|
for valuing real assets. The WACC method can be used |
valuing investment projects. (Sections 13.1, 13.2, and |
|
only when discounting expected cash flows at risk- |
13.3) |
|
adjusted discount rates. (Sections 13.2 and 13.3) |
•When debt is tax deductible, the firm’s weighted |
• |
Acommon mistake is to use the yield on a risky bond |
average cost of capital is reduced if the firm uses more |
|
as the cost of debt capital. The appropriate cost of debt, |
debt financing. (Section 13.3) |
EXECUTIVEPERSPECTIVE
Thomas E. Copeland
The investment decision is the driving force behind thevalue of companies. Nothing is more important. The deci-sion may involve growing the company via a capitalexpenditure, an investment in working capital, or a com-mitment for an acquisition. Or, the decision may implyshrinking the company via a divestment, an equity carve-out, or a spinoff.
Chapters 9 through 13 are a thoroughly modern andfresh exposition of the approach to making investmentdecisions based on the fundamental economic role of oneprice. The reader is introduced to the idea that the value ofa capital project can be estimated by building a trackingportfolio of marketable securities that has similar payoffsto the actual investmennt itself. Hence, the value of theproject is equal to the value of its perfect substitute, atracking portfolio, whose securities have observable mar-ket prices. This idea has been the foundation of securitiespricing on Wall Street for over two decades and is intro-duced here for the first time in a corporate finance text-book. And it’s about time!
Throughout this capital budgeting part of the book,Grinblatt and Titman use simple numerical examples toillustrate fundamental investment theory. Their approachmakes it very easy to understand. And, because the pre-
sentation is so new and fresh, practitioners will find theirmental horizons expanded. For example, Chapter 12 con-tains capital budgeting material on real options. This is themost important breakthrough in thinking about investmentdecisions in decades! The authors convincingly demon-strate how traditional net present value methods are inade-quate when flexibility is important. This same chapter alsocovers ratio approaches to valuation and a competitiveanalysis approach. Any investment banker will be inter-ested in their explanation of how financial leverage mayincrease or decrease price earnings ratios.
Chapter 13 compares the two most widely advocatedcash flow valuation approaches—the adjusted presentvalue method and the traditional approach, which dis-counts enterprise cash flows at the weighted average costof capital. Although mathematically equivalent, the twoapproaches differ in their ease of use—another fact thatwill be useful for today’s practitioners.
Mr. Copeland currently is the Chief Corporate Finance Officer and Headof Monitor Corporate Finance. Previously, Mr. Copeland was a professorof finance at UCLA’s Anderson Graduate School of Management wherehe served as Chairman of the Finance Group and Vice-Chairman of the
graduate school and was a director of corporate financial services at
McKinsey & Company where he co-led the firm’s finance practice.
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Grinblatt
1007 Titman: FinancialIV. Capital Structure
Introduction
© The McGraw
1007 HillMarkets and Corporate
Companies, 2002
Strategy, Second Edition
-
PART
IV
Capital
Structure
F
irms
raise investment funds in a number of ways. They can borrow from
banks and
other financial institutions or they can issue various kinds of debt, preferred stock,
warrants, and common equity. Afirm’s mix of these different sources of capital is
referred to as its capital structure.
Part III pointed out that the capital structure of a corporation can affect capital allo-
cation decisions. In that part of the text, a firm’s capital structure and the financing mix
of its investment projects were taken as given. Part IVexamines how corporate capi-
tal structures are determined.
If a firm’s capital structure includes a great deal of debt, then the firm is said to
be highly leveraged. The term leverageis used because a high debt ratio allows a rel-
atively small percentage change in a firm’s earnings before interest, taxes, depreciation,
and amortization (EBITDA) to translate into a large percentage change in the firm’s
net income.
The extent to which a firm is leveraged is measured in a number of different ways
(see Exhibit IV.1). The first two debt-to-value ratiosmeasure the portion of a firm’s
capitalization financed with debt. The market value of debt is often difficult to calcu-
late since a large percent of corporate debt takes the form of either privately placed
bonds or bank loans which do not generally trade. As a result, the amount of debt in
a firm’s capital structure, the numerators in these expressions, is generally measured at
its book value. The denominator in these expressions represents book debt plus either
the market value (row 1) or the book value (row 2) of the firm’s equity.1Because the
EXHIBITIV.1Common Leverage Measures
-
Leverage Measure
What Is Measured
-
Debt
Measures long-term ability to meet interest payments
Debt market value of equity
-
Debt
Measures historical financing of investments
Total book assets
-
EBITDA
Measures ability to meet current interest payments
Interest
1Debt-to-equity ratios, D/E,also are frequently observed, with Emeasured either as a market value or
a book value.
497
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1010 Titman: FinancialIV. Capital Structure
Introduction
© The McGraw
1010 HillMarkets and Corporate
Companies, 2002
Strategy, Second Edition
498Part IVCapital Structure
market value of equity measures the firm’s discounted futurecash flows, ratios with
market values in the denominator are good measures of the firm’s future ability to meet
its interest payments. Because the book value of equity is determined by how well the
firm has done in the past, the ratio of debt to the book value of equity is not as reli-
able an indicator of the firm’s ability to meet its interest payments. However, it does
indicate how a firm has historically financed its new investments.
An additional measure of leverage is the firm’s interest coverage ratio,which is
the ratio of EBITDAto interest payments. The interest coverage ratio is an indicator
of a firm’s currentability to meet its interest payments.
Exhibit IV.2 provides the financial ratios described in Exhibit IV.1 for a sample of
15 well-known U.S. corporations. It shows that high-tech companies like Hewlett-
Packard tend to rely little on debt financing; its debt-to-value ratio indicates that less
than 20 percent of its total capital consists of debt. The most highly leveraged compa-
nies on this list are Boston Edison, an electric utility; Delta Air Lines; and Safeway, a
supermarket chain. Safeway’s leverage ratio actually declined significantly from the late
1980s, following the company’s purchase by management in a leveraged buyout. Since
a number of supermarkets undertook leveraged buyouts in the 1980s, firms in that
industry are often highly leveraged. Airlines and electric utilities, as groups, also are
relatively highly levered. For the airlines, however, the high level of debt may be tem-
porary, reflecting accumulated losses during the late 1980s and early 1990s. For exam-
ple, the first column’s debt-to-market value ratio of Delta Air Lines was lower in the
past: less than 30 percent in 1990 and less than 25 percent in 1985.
Part IVwill explain why firms like Safeway choose to be highly levered while
firms like Hewlett-Packard use little debt financing. The starting point for this discus-
sion is the Modigliani-Miller Theorem,which states that in the absence of taxes and
other market frictions (for example, transaction costs and bankruptcy costs), the capi-
tal structure choice does not affect firm values. According to this theorem, managers
should place all their effort into making the real investment decisions described in Part
III; how these real investments are actually financed is a matter of indifference.
Of course, the real world is very different from the frictionless markets model set
forth by Modigliani and Miller; in reality, managers can create value for their corpo-
rations by making astute financing decisions. Chapters 14 and 15 discuss how taxes
affect financing choices. The key insight is that when interest payments, but not divi-
dends, are tax deductible, debt is a less expensive form of financing than equity. How-
ever, the corporate tax advantage of debt can be somewhat mitigated by the personal
tax advantages of equity financing. In particular, the returns that accrue to equity hold-
ers are often treated as capital gains, which are more lightly taxed than the interest
income paid to the firm’s debt holders. In addition, because equity holders must pay
personal taxes on dividend income, they may be better off if the firm finances its invest-
ments with retained earnings instead of paying a dividend and financing new invest-
ment with borrowing.
Chapters 16 and 17 describe how contracting and transactions costs can affect the
capital structure choice. In the world of Modigliani and Miller, a firm that goes bank-
rupt has its assets transferred costlessly from equity holders to debt holders. Their model
also assumes that the real investment and operating decisions of the firm can be made
independently of this potential transfer of ownership, which is likely to be the case in
the absence of contracting and transaction costs. In reality, however, legal costs are
associated with this transfer. Perhaps more importantly, managerial incentives in a firm
close to bankruptcy will change in ways that can create substantial costs to the firm.
Grinblatt |
IV. Capital Structure |
Introduction |
©
The McGraw |
Markets and Corporate |
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Companies, 2002 |
Strategy, Second Edition |
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Part IV
Capital Structure
499
EXHIBITIV.2Financial Ratios of Selected U.S. Corporations, 1993
-
Debt
Debt
EBITDA
Company Name
Debt Mkt Equity
Total Book Assets
Interest
-
AT&T
20%
29%
16.36
Boeing
15
13
14.37
Boston Edison
49
42
3.49
John Deere
40
37
2.47
Delta Air Lines
53
32
1.08
Disney
9
20
14.09
General Motors
61
37
2.98
Hewlett-Packard
13
17
21.67
McDonalds
15
31
7.18
3M
6
12
59.70
Philip Morris
27
35
6.72
Safeway Stores
55
53
3.06
Texaco
27
26
4.70
Wal-Mart
14
36
7.54
Source: Standard and Poor’s Compustat Data 1994.
Because of these potential costs, firms tend to limit their use of debt financing despite
its tax advantages.
Our goal in Part IVis to provide guidelines for managers in situations where all
parties have a shared objective to maximize the wealth of shareholders. However, the
maximization of shareholder wealth may not be the objective of all managers because
of the transaction and contracting costs alluded to above. Part Vexamines how finan-
cial decisions are made when managers have differing objectives from those of share-
holders, which will complete the analysis of capital structure.
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Grinblatt
1013 Titman: FinancialIV. Capital Structure
14. How Taxes Affect
© The McGraw
1013 HillMarkets and Corporate
Financing Choices
Companies, 2002
Strategy, Second Edition
CHAPTER
How Taxes Affect
14
Financing Choices
Learning Objectives
After reading this chapter, you should be able to:
1.Understand that in the absence of taxes, transaction costs, and other market
frictions, capital structure can affect firm values onlywhen the debt-equity choice
affects cash flows (the Modigliani-Miller Theorem).
2.Explain how corporate taxes provide incentives for firms to use debt financing as
well as how they affect the decision to buy or lease capital assets.
3.Understand why personal taxes provide an incentive for firms to use equity
financing.
4.Explain how nondebt tax shields, such as depreciation deductions and R&D
expenses, affect the capital structure choice.
5.Use the yields on municipal bonds to quantify the total tax gain associated with a
leverage change.
6.Understand how inflation affects the capital structure choice.
After World War II, the U.S. airline industry expanded, and some airlines issued
additional equity to fund their expansions. Jack Frye, then CEO of TWA, thought
that TWAalso should issue equity to fund its expansion. However, Howard Hughes,
TWA’s largest shareholder, disagreed. Partly because of this disagreement, Frye was
replaced as CEO.
In a Civil Aeronautics Board hearing in 1959 concerning Howard Hughes’s
control of TWA, Hughes explained his position at the earlier time: “My position was
[that] ... debt financing was very attractive. Interest rates were low, and interest
could be paid out of basic earnings before taxation. Equity financing, to leave a
satisfied stockholder, probably should have returned something between 7 and 10
percent, and that would have been required to be paid out of earnings after
taxation.”1
1Robert W. Rummel, Howard Hughes and TWA(Washington, DC: Smithsonian Institution Press,
1991), p. 128.
500
Grinblatt |
IV. Capital Structure |
14. How Taxes Affect |
©
The McGraw |
Markets and Corporate |
|
Financing Choices |
Companies, 2002 |
Strategy, Second Edition |
|
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Chapter 14
How Taxes Affect Financing Choices
501
Chapter 13 discussed how taxes and a firm’s financial structure can interact to affect
its real investment decisions. This chapter and the one that follows it take one step
backward and examine how taxes affect the proportions of debt and equity used to
finance a firm. To understand how taxes affect a firm’s financing choices, one must
first understand what financing choices would be like without taxes. Hence, the spring-
board for discussion of this topic is the no-tax capital structure irrelevance theorem
offered by Franco Modigliani and Merton Miller.
The Modigliani-MillerTheorem,which was largely responsible for both authors
winning Nobel Prizes in economics, states that if the capital structure decision has no
effect on the total cash flows that a firm can distribute to its debt and equity holders,
the decision also will have no effect—in the absence of transaction costs—on the total
value of the firm’s debt and equity. This means that a manager who is contemplating
whether it is cheaper to finance the firm primarily with junk bonds (that is, very high-
yield, high-risk debt) or with equity and perhaps a small amount of high-quality debt
should stop worrying: Neither financing decision is superior to the other!
The premise of the Modigliani-Miller Theorem, that capital structure has no effect
on cash flows, is not true in the real world. Because the interest on debt is tax
deductible, the after-tax cash flows of firms increase when they include more debt in
their capital structures, leading firms to favor debt over equity financing. However,
the capital structure choice becomes more complicated when one considers personal
as well as corporate taxes. Personal taxes tend to favor the use of equity in a firm’s
capital structure since a large portion of the returns on stock are taxed at the capital
gains rate, which is generally more favorable than the ordinary tax rate that applies to
interest income.
