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An Outline of Financial Economics

An Outline of Financial Economics

Satya R. Chakravarty

(2013)

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Abstract

“An Outline of Financial Economics” presents a systematic treatment of the theory and methodology of finance and economics. The book follows an analytical and geometric methodology, explaining technical terms and mathematical operations in clear, non-technical language, and providing intuitive explanations of the mathematical results. The text begins with a discussion of financial instruments, which form the basis of finance theory, and goes on to analyze bonds – which are regarded as fixed income securities – in a simple framework, and to discuss the valuation of stocks and cash flows in detail. Highly relevant topics such as attitudes toward risk, uncertainty, the financial structure of a firm, stochastic dominance, portfolio management, option pricing and conditions for non-arbitrage are analyzed explicitly. Because of its wide coverage and analytical, articulate and authoritative presentation, “An Outline of Financial Economics” will be an indispensable book for finance researchers and undergraduate and graduate students in fields such as economics, finance, econometrics, statistics and mathematics.


 “‘An Outline of Financial Economics’ provides a nice pedagogical exposition of the basic principles in financial economics, covering firm valuation and capital structure, fixed income securities and options, and portfolio theory and management. The most important concepts and results in the financial economics literature are well presented, including the Modigliani–Miller theorem in capital financing, hedging and dynamic replication in modern asset valuation principles, the Markowitz mean-variance portfolio model and the Sharpe–Lintner capital asset pricing model, and stochastic dominance. This text is well suited for science and engineering students at the undergraduate level, particularly those who would like to acquire some basic knowledge of financial economics at a higher level of quantitative reasoning than offered by standard business school texts in finance and investment.” —Professor Yue Kuen Kwok, Hong Kong University of Science and Technology


“An Outline of Financial Economics” presents a systematic treatment of theory and methodology of finance and economics. It begins by discussing financial instruments, which form the basis of the theory of finance and are defined as legal documents recording monetary transactions. The text then goes on to analyze bonds – which are regarded as fixed income securities – in a simple framework, and to discuss the valuation of stocks and cash flows in detail.

The text follows an analytical and geometric methodology, explaining technical terms and mathematical operations in nontechnical language. It also provides intuitive explanations of the mathematical results of questions concerning important issues such as risk aversion, uncertainty, prospect theory and the theory of stochastic dominance.

The text also covers two alternative approaches to portfolio analysis – namely the mean-variance and mean-Gini approaches – and features an analysis of the Modigliani–Miller theorem, which has played a major role in the development of business finance. It discusses the capital asset pricing model and the intricacies of the methods for determining prices of different types of options, which give the right to buy or sell an asset. Conditions for non-arbitrage that do not allow advantage of price discrimination between markets are also developed.

Because of its wide coverage and analytical, articulate and authoritative presentation, “An Outline of Financial Economics” will be an indispensable book for finance researchers and undergraduate and graduate students in fields such as economics, finance, econometrics, statistics and mathematics.


Satya R. Chakravarty is Professor of Economics at the Indian Statistical Institute in Kolkata, India.

Table of Contents

Section Title Page Action Price
Half title 1
Title 3
Copyright 4
Contents 7
Preface 11
PART I: Introduction and Basic Concepts 15
Chapter 1: Basic Concepts 17
1.1 Introduction 17
1.2 Financial Institutions, Financial Markets and Financial Instruments 17
1.3 Portfolio Management 21
Bibliographical Notes 21
Chapter 2: Intertemporal Decision-Making and Time Value of Money 22
2.1 Introduction 22
2.2 Consumer’s Time Preferences 22
2.3 Discounted Present Value and Fisher’s Proposition 26
Bibliographical Notes 28
Exercises 28
Chapter 3: Risk and Uncertainty 30
3.1 Introduction 30
3.2 Von Neumann–Morgenstern Utility Function 30
3.3 Risk Aversion 36
3.4 Certainty Equivalent 42
3.5 Mean-Variance Analysis: A Special Case of the Expected Utility Approach 46
3.6 Prospect Theory: A Brief Analysis 50
Appendix 52
Bibliographical Notes 58
Exercises 60
PART II: Firm Valuation and Capital Structure 63
Chapter 4: Valuation of Stocks 65
4.1 Introduction 65
4.2 Stock Transactions 67
4.3 Valuation of Stocks: A Simple Structure 69
4.4 Valuation of Stocks: A General Framework 71
4.5 Price-to-Earnings Ratio 73
Bibliographical Notes 75
Exercises 75
Chapter 5: Valuation of Cash Flows and Capital Budget Allocation 76
5.1 Introduction 76
5.2 Net Present Value 78
5.3 Internal Rate of Return 78
5.4 Benefit–Cost Ratio and Profitability Index 80
5.5 Some Additional Issues 82
Appendix 86
Bibliographical Notes 86
Exercises 86
Chapter 6: Financial Structure of a Firm 89
6.1 Introduction 89
6.2 The Modigliani–Miller Theorem 89
6.3 Discussion 95
Bibliographical Notes 97
Exercises 97
PART III: Fixed Income Securities and Options 99
Chapter 7: Valuation of Bonds and Interest Rates 101
7.1 Introduction 101
7.2 Discounted Present Values and Constant Earnings Streams 101
7.3 Special Case of a Bond 103
7.4 Yield to Maturity of Bonds 103
7.5 Duration of Bonds 109
7.6 Duration and Convexity of a Bond 111
7.7 Immunization of Interest Rate Risk 113
7.8 Forward Interest Rate 113
7.9 Forward Rate Agreement 115
Bibliographical Notes 117
Exercises 117
Chapter 8: Markets for Options 119
8.1 Introduction 119
8.2 Types of Options 121
8.3 Payoff Functions for Options 123
8.4 Profit Functions for Options 129
8.5 Boundaries for Option Values 131
8.6 Forward and Futures Contracts 141
Bibliographical Notes 145
Exercises 145
Chapter 9: Arbitrage and Binomial Model 148
9.1 Introduction 148
9.2 Conditions for Non-arbitrage: A Simple Model 148
9.3 Conditions for Non-arbitrage: A More General Model 152
9.4 The Binomial Model 156
Appendix 164
Bibliographical Notes 166
Exercises 166
Chapter 10: Brownian Motion and Ito’s Lemma 168
10.1 Introduction 168
10.2 Random Walk 168
10.3 Weiner Process (Brownian Motion) 170
10.4 Ito’s Lemma 172
10.5 Applications 172
Appendix 176
Bibliographical Notes 176
Exercises 176
Chapter 11: The Black–Scholes–Merton Model 178
11.1 Introduction 178
11.2 The Black–Scholes–Merton Partial Differential Equation 178
11.3 The Black–Scholes Pricing Formulae 184
11.4 Comparative Statics: The Greek Letters 184
11.5 Implied Volatility 188
Appendix 190
Bibliographical Notes 192
Exercises 192
Chapter 12: Exotic Options 195
12.1 Introduction 195
12.2 Digital Options 197
12.3 Asian Options 199
12.4 Barrier Options 201
12.5 Gap Options 205
12.6 Discussion 207
Appendix 209
Bibliographical Notes 217
Exercises 217
Chapter 13: Risk-Neutral Valuation and Martingales 218
13.1 Introduction 218
13.2 Martingale: Background and Interpretation 218
13.3 Equivalent Martingale Measure: Discrete-Time Models 224
13.4 Equivalent Martingale Measure: Continuous-Time Models 226
13.5 Equivalent Martingale Measure: Continuous-Time Path and Stochastic Interest Rate 226
Bibliographical Notes 232
Exercises 232
Chapter 14: Portfolio Management: The Mean-Variance Approach 235
14.1 Introduction 235
14.2 Preliminaries 237
14.3 Construction of a Portfolio: The Two-Asset Case and a Diagrammatic Exposition 239
14.4 Construction of a Portfolio: The Multi-Asset Case 245
14.5 Two-Fund Separation Theorem 249
14.6 Capital Asset Pricing Model 251
Appendix 259
Bibliographical Notes 265
Exercises 267
Chapter 15: Stochastic Dominance 267
15.1 Introduction 267
15.2 First Order Stochastic Dominance 269
15.3 Second Order Stochastic Dominance 271
15.4 Lorenz Ordering, Generalized Lorenz Orderingand Stochastic Dominance 273
15.5 Ranking Portfolios 277
Appendix 279
Bibliographical Notes 285
Exercises 285
Chapter 16: Portfolio Management: The Mean-Gini Approach 286
16.1 Introduction 286
16.2 Gini Evaluation Function and Stochastic Dominance 286
16.3 Efficient Set 290
16.4 Portfolio Analysis 292
16.5 Gini Capital Asset Pricing Model 294
Appendix 296
Bibliographical Notes 298
Exercises 300
Bibliography 301
Index 307