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6. Non-convexities and lotteries in general equilibrium. 6.1. Introduction. 6.2. A static decentralized competitive framework. 6.3. Competitive equilibrium. 6.4. Trade in lotteries. 6.5. Implications for the elasticity of labor supply. 6.6. Summary I. 6.7. General equilibrium approach to asymmetric information. 6.8. Basic structure, pareto optimality and decentralized competitive equilibrium. 6.9. An insurance problem with adverse selection. 6.10. Summary II. 6.11. Unemployment insurance, asset returns and adverse selection. 6.12. Basic structure. 6.13. Heterogeneity, efficiency, and market completeness. 6.14. Consequences for asset allocation. 6.15. Summary III -- 7. Dynamics I: discrete time. 7.1. Time and markets. 7.2. Introduction to financial contracts. 7.3. Summary I. 7.4. General equilibrium and asset pricing under uncertainty with complete markets. 7.5. General equilibrium under uncertainty: two equivalent approaches. 7.6. Pricing contingent claims in the two-period economy with complete markets. 7.7. Introduction to the multi-period economy. 7.8. Conditional and transitional probabilities, Markov processes, and conditional moments. 7.9. The multi-period economy again. 7.10. Asset prices in an infinite horizon exchange economy. 7.11. Excess returns. 7.12. Summary II. 7.13. Stochastic monetary theory. 7.14. Fisher equation and risk. 7.15. Summary III. 7.16. The financial problem of the firm in general equilibrium. 7.17. Summary IV. 7.18. Private information, stochastic growth and asset prices. 7.19. Recursive contracts, general equilibrium and asset prices. 7.20. Growth and asset prices with alternative arrangements. 7.21. Summary V -- 8. Dynamics II: continuous time. 8.1. Asset price dynamics, options and the Black-Scholes model. 8.2. Discrete time random walks. 8.3. A multiplicative model in discrete time and a preview of the lognormal random variable. 8.4. Introduction to random walk models of asset prices in continuous time. 8.5. A multiplicative model of asset prices in continuous time. 8.6. Introduction to Ito's lemma and the lognormal distribution again. 8.7. Ito's formula: the general case. 8.8. Asset price dynamics and risk. 8.9. Options. 8.10. The Black-Scholes partial differential equation. 8.11. The Black-Scholes formula for a European call option. 8.12. Summary I. 8.13. Introduction to equilibrium stochastic models. 8.14. Consumption growth and portfolio choice with logarithmic utility. 8.15. Consumption growth and portfolio choice with CRRA utility. 8.16. Capital accumulation and asset returns. 8.17. Risk aversion and intertemporal substitution. 8.18. Summary II
Financial Economics, Risk and Information presents the fundamentals of finance in static and dynamic frameworks with focus on risk and information. The objective of this book is to introduce undergraduate and first-year graduate students to the methods and solutions of the main problems in finance theory relating to the economics of uncertainty and information. The main goal of the second edition is to make the materials more accessible to a wider audience of students and finance professionals. The focus is on developing a core body of theory that will provide the student with a solid intellectual foundation for more advanced topics and methods. The new edition has streamlined chapters and topics, with new sections on portfolio choice under alternative information structures. The starting point is the traditional mean-variance approach, followed by portfolio choice from first principles. The topics are extended to alternative market structures, alternative contractual arrangements and agency, dynamic stochastic general equilibrium in discrete and continuous time, attitudes towards risk and towards inter-temporal substitution in discrete and continuous time; and option pricing. In general, the book presents a balanced introduction to the use of stochastic methods in discrete and continuous time in the field of financial economics.
Financial Economics, Risk and Information presents the fundamentals of finance in static and dynamic frameworks with focus on risk and information. The objective of this book is to introduce undergraduate and first-year graduate students to the methods and solutions of the main problems in finance theory relating to the economics of uncertainty and information. The main goal of the second edition is to make the materials more accessible to a wider audience of students and finance professionals. The focus is on developing a core body of theory that will provide the student with a solid intellectual foundation for more advanced topics and methods. The new edition has streamlined chapters and topics, with new sections on portfolio choice under alternative information structures. The starting point is the traditional mean-variance approach, followed by portfolio choice from first principles. The topics are extended to alternative market structures, alternative contractual arrangements and agency, dynamic stochastic general equilibrium in discrete and continuous time, attitudes towards risk and towards inter-temporal substitution in discrete and continuous time; and option pricing. In general, the book presents a balanced introduction to the use of stochastic methods in discrete and continuous time in the field of financial economics.
This second edition provides a rigorous yet accessible graduate-level introduction to financial economics. Since students often find the link between financial economics and equilibrium theory hard to grasp, less attention is given to purely financial topics, such as valuation of derivatives, and more emphasis is placed on making the connection with equilibrium theory explicit and clear. This book also provides a detailed study of two-date models because almost all of the key ideas in financial economics can be developed in the two-date setting. Substantial discussions and examples are included to make the ideas readily understandable. Several chapters in this new edition have been reordered and revised to deal with portfolio restrictions sequentially and more clearly, and an extended discussion on portfolio choice and optimal allocation of risk is available. The most important additions are new chapters on infinite-time security markets, exploring, among other topics, the possibility of price bubbles.
For undergraduate and graduate courses in corporate finance, financial management, and financial economics. This book seeks to explain finance through its functions rather than its institutions, concentrating on the three pillars of finance: optimization over time, asset valuation, and risk management.
Updates and advances the theory of expected utility as applied to risk analysis and financial decision making.
Based on formal derivations of financial theory, this volume provides a rigorous exploration of individual's consumption and portfolio decisions under uncertainty. Features in-depth coverage of such topics as: concepts of risk aversion and stochastic dominance; mathematical properties of a portfolio frontier; distributional conditions for mutual fund separation; capital asset pricing models and arbitrage pricing models; general pricing rules for securities that pay off in more than one state of nature; the pricing of options; rational expectation models of risky asset prices; signaling models; how multiperiod dynamic economies can be modeled; a multiperiod economy with emphasis on valuation by arbitrage; econometric issues associated with testing capital asset pricing models.
More than any other book available, Risk Analysis in Engineering and Economics introduces the fundamental concepts, techniques, and applications of the subject in a style tailored to meet the needs of students and practitioners of engineering, science, economics, and finance. Drawing on his extensive experience in uncertainty and risk modeling and analysis, the author leads readers from the fundamental concepts through the theory, applications, and data requirements, sources, and collection. He emphasizes the practical use of the methods presented and carefully examines the limitations, advantages, and disadvantages of each. Case studies that incorporate the techniques discussed offer a practical perspective that helps readers clearly identify and solve problems encountered in practice. If you deal with decision-making under conditions of uncertainty, this book is required reading. The presentation includes more than 300 tables and figures, more than 100 examples, many case studies, and a wealth of end-of-chapter problems. Unlike the classical books on reliability and risk assessment, this book helps you relate underlying concepts to everyday applications and better prepares you to understand and use the methods of risk analysis.