| Introductory Remarks | vii |
| Contents | xi |
I | Introduction to Finance | 1 |
1 | Finance | 3 |
1.1 | What is Finance? | 3 |
1.2 | Corporate Finance | 3 |
1.3 | Financial Markets | 4 |
2 | Axioms of Modern Corporate Finance | 6 |
2.1 | The Axioms | 6 |
2.1.1 | Financial Markets are Competitive | 6 |
2.1.2 | Value Additivity | 6 |
2.1.3 | No Free Lunches | 7 |
2.1.4 | The Efficient Markets Hypothesis | 7 |
3 | On Value Additivity | 8 |
3.1 | Value Additivity | 8 |
3.2 | The Value of the Firm | 8 |
3.3 | A Couple of Brain Teasers | 9 |
4 | On the Efficient Markets Hypothesis | 12 |
4.1 | The Idea | 12 |
4.2 | Traditional Formulation of the Efficient Markets Hypothesis | 12 |
4.3 | What Information? | 13 |
4.4 | What Does "Correctly Reflected" Mean? | 14 |
4.4.1 | Rational Learning | 14 |
4.4.2 | Unbiased Beliefs | 15 |
4.4.3 | Adding Compensation for Waiting and Risk | 15 |
4.5 | Empirical Evidence | 16 |
4.6 | Some Implications of the Efficient Markets Hypothesis | 16 |
4.6.1 | One Cannot Time the Market | 16 |
4.6.2 | Average Returns in Excess of the Risk Free Rate are Solely Determined by Risk | 17 |
4.6.3 | Expected Returns Can Vary Over Time | 17 |
II | Basic Finance | 21 |
5 | Present Value | 23 |
5.1 | Definition of Present Value | 23 |
5.2 | Pricing in Markets for Dated Riskfree Cash Flows | 25 |
5.3 | Interest Rates | 25 |
5.4 | Term Structure of Interest Rates | 26 |
5.5 | Net Present Value | 28 |
5.6 | Capital Budgeting | 28 |
5.7 | Perpetuities | 29 |
5.8 | Annuities | 30 |
5.9 | Compound Interest | 31 |
5.10 | Valuing Fixed Income Securities | 32 |
5.11 | Valuing Equities | 33 |
5.12 | Risky Cash Flows | 35 |
6 | Capital Budgeting | 40 |
6.1 | Capital Budgeting | 40 |
6.2 | Evaluating Projects using NPV | 41 |
6.2.1 | Calculation of NPV | 41 |
6.2.2 | Only Cash Flows | 41 |
6.2.3 | Accountants | 41 |
6.2.4 | After Tax Cash Flows | 42 |
6.2.5 | What are Relevant Cash Flows? | 42 |
6.2.6 | Inflation | 43 |
6.2.7 | Projects with Different Life Lengths | 44 |
6.3 | Alternative Valuation Methods | 44 |
6.3.1 | Payback Period | 44 |
6.3.2 | Internal Rate of Return | 45 |
6.3.3 | Profitability Index | 49 |
6.3.4 | Accounting Measures of Return | 49 |
6.4 | Some Fancy Acronyms | 49 |
6.4.1 | EVA (Economic Value Added) | 50 |
6.4.2 | MVA (Market Value Added) | 50 |
6.4.3 | TSR (Total Shareholder Return) | 50 |
7 | Valuation Under Uncertainty: The CAPM | 53 |
7.1 | Asset Pricing Theory | 53 |
7.2 | Portfolio Returns | 54 |
7.3 | Diversifiable and Nondiversifiable Risk | 55 |
7.4 | The Set of Efficient Portfolios | 56 |
7.5 | The Possibility Set with a Risk Free Security | 57 |
7.6 | The Capital Asset Pricing Model | 57 |
7.7 | Using CAPM for Pricing | 59 |
7.8 | Using CAPM for Capital Budgeting | 60 |
7.9 | Empirical Evidence | 61 |
7.10 | Experimental Evidence | 61 |
7.11 | The Arbitrage Pricing Theory | 62 |
7.12 | When the CAPM Would Fail | 62 |
III | Multiperiod Pricing and Derivatives | 67 |
8 | Valuing Risky Cash Flows | 69 |
8.1 | Valuation of Dated, Risky Cash Flows | 69 |
8.2 | States | 70 |
8.3 | States and Digital Options | 70 |
8.4 | Expectations and Digital Options | 72 |
8.5 | Trees | 74 |
8.6 | Summarizing | 74 |
9 | Introduction to Derivatives | 77 |
9.1 | Derivatives | 77 |
9.2 | Definitions | 78 |
9.3 | Option Cashflows | 79 |
9.4 | Bounds on Option Prices | 81 |
9.4.1 | Positivity | 81 |
9.4.2 | Simple Upper Bounds | 81 |
9.4.3 | European Call Lower Bound | 82 |
9.4.4 | Should American Options be Exercised Early? | 84 |
9.5 | Put-Call Parity | 84 |
9.6 | Rounding Off | 86 |
10 | Pricing Derivatives | 90 |
10.1 | Pricing Risky Cash Flows | 90 |
10.2 | Pricing Derivatives | 91 |
10.3 | Interpreting Equity as an Option | 93 |
11 | Pricing of Multiperiod, Risky Investments | 97 |
11.1 | Multiple States | 97 |
11.2 | Getting to Two States by Adding Time Steps | 98 |
11.3 | A Real-Life Example: Pricing An MCI Call Option | 100 |
11.4 | General Strategy | 103 |
12 | Where To Get State Price Probabilities? | 106 |
12.1 | Implementation | 106 |
12.2 | Generating the Possible Future States | 106 |
12.3 | Now the State Price Probabilities | 109 |
12.4 | Pricing Call Options: The MCI Example Again | 110 |
12.5 | State Price Probabilities and True Probabilities | 112 |
13 | Warrants | 115 |
13.1 | Definition | 115 |
13.2 | Firm Value and Warrants | 115 |
13.3 | Valuation | 116 |
14 | The Dynamic Hedge Argument | 119 |
14.1 | Pricing | 119 |
14.2 | Why State Prices must be Equal | 119 |
14.3 | The Binomial Option Pricing Model | 120 |
15 | Multiple Periods in the Binomial Option Pricing Model | 128 |
15.1 | Multiple Periods | 128 |
15.2 | The Binomial Formula and the Black Scholes Model | 132 |
15.3 | Early Exercise of Puts in the Binomial Model | 132 |
15.4 | Adjusting for Dividends in the Binomial Model | 134 |
15.5 | Implementing the binomial option formula | 136 |
16 | An Application: Pricing Corporate Bonds | 139 |
16.1 | Corporate Bonds | 139 |
16.2 | The Risky Part of Corporate Bonds | 139 |
16.3 | Risk Free Bonds with Put Option | 141 |
16.4 | Shareholder Incentives | 145 |
16.5 | A Solution: Convertible Bonds | 146 |
16.6 | Callable Convertible Bonds | 148 |
IV | Corporate Finance | 153 |
17 | Are Capital Structure Decisions Relevant? | 155 |
17.1 | The Capital Structure Problem | 155 |
17.2 | The Problem with "Assets In Place" | 156 |
17.3 | Shareholder Preferences for Firm Value | 160 |
17.4 | Implications for Cost of Equity Capital: MM II | 161 |
17.5 | What if Assets are Not In Place? | 162 |
18 | Maybe Capital Structure Affects Firm Value After All? | 167 |
18.1 | Only Through Changes in Assets | 167 |
18.2 | Corporate Taxes | 167 |
18.3 | Bankruptcy Costs | 170 |
18.4 | Agency Costs | 173 |
18.5 | Personal Taxes | 173 |
18.6 | General Equilibrium Effects Restore Irrelevance | 174 |
19 | Valuation Of Projects Financed Partly With Debt | 177 |
19.1 | Adjusting for Taxes | 177 |
19.2 | Three Strategies That Have Been Suggested | 177 |
19.2.1 | Adjusted Present Value | 177 |
19.2.2 | Flow to Equity | 178 |
19.2.3 | Weighted Average Cost of Capital | 178 |
19.3 | The General Principle: Net Present Value Again | 179 |
20 | And What About Dividends? | 181 |
20.1 | Dividends | 181 |
20.2 | The Miller and Modigliani Argument | 181 |
20.3 | Why Pay Taxes if Only the IRS Gains? | 182 |
20.3.1 | Double Taxation | 182 |
20.3.2 | Individual Preferences for Capital Gains | 182 |
20.4 | Does the Market Agree? | 183 |
20.4.1 | The Ex-day Drop | 183 |
20.4.2 | Looking Beyond the Border | 184 |
20.4.3 | The Evidence from Returns on Investment | 184 |
20.5 | Share Repurchases | 184 |
20.6 | So, Why do Firms Pay Dividends? The Signalling Hypothesis | 184 |
20.7 | Irrelevance Again | 185 |
V | Risk Management | 189 |
21 | Risk And Incentive Management | 191 |
21.1 | Hedging | 191 |
21.2 | Hedging with Readily Available Contracts | 191 |
21.2.1 | Forward and Futures Contracts | 191 |
21.2.2 | Pricing of Forward and Futures Contracts | 192 |
21.2.3 | Options | 193 |
21.2.4 | Other Derivatives | 193 |
21.3 | Synthetic Static Hedges | 193 |
21.4 | Synthetic Dynamic Hedges | 194 |
21.5 | The Metallgesellschaft Case | 197 |
21.6 | Value At Risk (VaR) | 199 |
21.7 | Should Corporations Hedge? | 202 |
21.8 | Managing Incentives | 202 |
VI | Longer Examples | 207 |
22 | Longer Examples | 209 |
22.1 | Determining the Maximum Bid on a Gold Mining License | 209 |
22.2 | Chippawhip | 210 |
VII | Appendix | 217 |
| A Notation and Formulas | 219 |
A.1 | Notation | 219 |
A.2 | Formulas | 220 |
| Index | 224 |
| Bibliography | 228 |