Asset Pricing in Discrete Time:A Complete Markets Approach

A Complete Markets Approach

Author: Ser-Huang Poon,Richard Stapleton

Publisher: OUP Oxford

ISBN: 9780199271443

Category: Business & Economics

Page: 156

View: 9690

Relying on the existence, in a complete market, of a pricing kernel, this book covers the pricing of assets, derivatives, and bonds in a discrete time, complete markets framework. It is primarily aimed at advanced Masters and PhD students in finance.-- Covers asset pricing in a single period model, deriving a simple complete market pricing model and using Stein's lemma to derive a version of the Capital Asset Pricing Model.-- Looks more deeply into some of the utility determinants of the pricing kernel, investigating in particular the effect of non-marketable background risks on the shape of the pricing kernel.-- Derives the prices of European-style contingent claims, in particular call options, in a one-period model; derives the Black-Scholes model assuming a lognormal distribution for the asset and a pricing kernel with constant elasticity, and emphasizes the idea of a risk-neutral valuation relationship between the price of a contingent claim on an asset and the underlying asset price.-- Extends the analysis to contingent claims on assets with non-lognormal distributions and considers the pricing of claims when risk-neutral valuation relationships do not exist.-- Expands the treatment of asset pricing to a multi-period economy, deriving prices in a rational expectations equilibrium.-- Uses the rational expectations framework to analyse the pricing of forward and futures contracts on assets and derivatives.-- Analyses the pricing of bonds given stochastic interest rates, and then uses this methodology to model the drift of forward rates, and as a special case the drift of the forward London Interbank Offer Rate in the LIBOR Market Model.

Arbitrage Theory in Continuous Time

Author: Tomas Björk

Publisher: OUP Oxford

ISBN: 0191610291

Category: Business & Economics

Page: 560

View: 1986

The third edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous arbitrage pricing of financial derivatives, including stochastic optimal control theory and Merton's fund separation theory, the book is designed for graduate students and combines necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter. In this substantially extended new edition Bjork has added separate and complete chapters on the martingale approach to optimal investment problems, optimal stopping theory with applications to American options, and positive interest models and their connection to potential theory and stochastic discount factors. More advanced areas of study are clearly marked to help students and teachers use the book as it suits their needs.

Financial Asset Pricing Theory

Author: Claus Munk

Publisher: Oxford University Press

ISBN: 0199585490

Category: Business & Economics

Page: 585

View: 531

The book presents models for the pricing of financial assets such as stocks, bonds, and options. The models are formulated and analyzed using concepts and techniques from mathematics and probability theory. It presents important classic models and some recent 'state-of-the-art' models that outperform the classics.

Martingale Methods in Financial Modelling

Author: Marek Musiela

Publisher: Springer Science & Business Media

ISBN: 3662221322

Category: Mathematics

Page: 513

View: 1664

A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.

Asset Pricing and Portfolio Choice Theory

Author: Kerry E. Back

Publisher: Oxford University Press

ISBN: 0190241144

Category: Capital assets pricing model

Page: 712

View: 5230

In the 2nd edition of Asset Pricing and Portfolio Choice Theory, Kerry E. Back offers a concise yet comprehensive introduction to and overview of asset pricing. Intended as a textbook for asset pricing theory courses at the Ph.D. or Masters in Quantitative Finance level with extensive exercises and a solutions manual available for professors, the book is also an essential reference for financial researchers and professionals, as it includes detailed proofs and calculations as section appendices. The first two parts of the book explain portfolio choice and asset pricing theory in single-period, discrete-time, and continuous-time models. For valuation, the focus throughout is on stochastic discount factors and their properties. A section on derivative securities covers the usual derivatives (options, forwards and futures, and term structure models) and also applications of perpetual options to corporate debt, real options, and optimal irreversible investment. A chapter on "explaining puzzles" and the last part of the book provide introductions to a number of additional current topics in asset pricing research, including rare disasters, long-run risks, external and internal habits, asymmetric and incomplete information, heterogeneous beliefs, and non-expected-utility preferences. Each chapter includes a "Notes and References" section providing additional pathways to the literature. Each chapter also includes extensive exercises.

Handbook of Financial Econometrics

Tools and Techniques

Author: Yacine Ait-Sahalia,Lars Peter Hansen

Publisher: Elsevier

ISBN: 9780080929842

Category: Business & Economics

Page: 808

View: 7572

This collection of original articles—8 years in the making—shines a bright light on recent advances in financial econometrics. From a survey of mathematical and statistical tools for understanding nonlinear Markov processes to an exploration of the time-series evolution of the risk-return tradeoff for stock market investment, noted scholars Yacine Aït-Sahalia and Lars Peter Hansen benchmark the current state of knowledge while contributors build a framework for its growth. Whether in the presence of statistical uncertainty or the proven advantages and limitations of value at risk models, readers will discover that they can set few constraints on the value of this long-awaited volume. Presents a broad survey of current research—from local characterizations of the Markov process dynamics to financial market trading activity Contributors include Nobel Laureate Robert Engle and leading econometricians Offers a clarity of method and explanation unavailable in other financial econometrics collections

Prices in Financial Markets

Author: Michael U. Dothan,Professor and Chair Department of Finance Curtis L Carlson School of Management Michael U Dothan

Publisher: Oxford University Press on Demand


Category: Business & Economics

Page: 342

View: 6608

This book offers a unified treatment of selected topics in the theory of financial markets. Starting with discrete time models, Dothan introduces discrete time stochastic calculus and discrete martingale methods of intuitive simplicity to characterize attainability, completeness, pricing, and the relationship between risk and return in financial markets. Subsequently, he uses the intuition developed in conjunction with the discrete time theory to introduce continuous time calculus for continuous, jump, and mixed continuous-jump processes, and to deal with attainability, completeness, pricing, and the relationship between risk and return in general continuous time models. Throughout, the exposition of the continuous time theory emphasizes the analogies between discrete time and continuous time methods and results. The book includes many examples, applications to the pricing of options and other derivative securities, and an extensive discussion of the Black-Scholes model and its most general theoretical extension.

Understanding Financial Crises

Author: Franklin Allen,Douglas Gale

Publisher: OUP Oxford

ISBN: 0191622869

Category: Business & Economics

Page: 320

View: 7681

What causes a financial crisis? Can financial crises be anticipated or even avoided? What can be done to lessen their impact? Should governments and international institutions intervene? Or should financial crises be left to run their course? In the aftermath of the Asian financial crisis, many blamed international institutions, corruption, governments, and flawed macro and microeconomic policies not only for causing the crisis but also unnecessarily lengthening and deepening it. Based on ten years of research, the authors develop a theoretical approach to analyzing financial crises. Beginning with a review of the history of financial crises and providing readers with the basic economic tools needed to understand the literature, the authors construct a series of increasingly sophisticated models. Throughout, the authors guide the reader through the existing theoretical and empirical literature while also building on their own theoretical approach. The text presents the modern theory of intermediation, introduces asset markets and the causes of asset price volatility, and discusses the interaction of banks and markets. The book also deals with more specialized topics, including optimal financial regulation, bubbles, and financial contagion.

Dynamic Asset Pricing Theory

Third Edition

Author: Darrell Duffie

Publisher: Princeton University Press

ISBN: 1400829208

Category: Business & Economics

Page: 488

View: 1191

This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.


Author: Mukul Majumdar,Ian Wills,Pasquale M. Sgro,John M. Gowdy

Publisher: EOLSS Publications

ISBN: 1848263155


Page: 514

View: 3874

Fundamental Economics in two volumes is a component of Encyclopedia of Social Sciences and Humanities in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme discusses on Fundamental Economics, Walrasian and Non-Walrasian Microeconomics, Strategic Behavior, The Economics of Bargaining, Economic Exernalities, Public Goods, Macroeconomics, Decision Making Under Uncertainty, Development Economics and many other related topics. These two volumes are aimed at the following five major target audiences: University and College Students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.

Continuous-Time Finance

Author: Robert C. Merton

Publisher: Wiley-Blackwell

ISBN: 9780631185086

Category: Business & Economics

Page: 754

View: 5943

Robert C. Merton's widely-used text provides an overview and synthesis of finance theory from the perspective of continuous-time analysis. It covers individual finance choice, corporate finance, financial intermediation, capital markets, and selected topics on the interface between private and public finance.

Brownian Motion Calculus

Author: Ubbo F. Wiersema

Publisher: John Wiley & Sons

ISBN: 0470021713

Category: Business & Economics

Page: 330

View: 3679

Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites. Summary slides for revision and teaching can be found on the book website.

Theory of Asset Pricing

Author: George Gaetano Pennacchi

Publisher: Prentice Hall

ISBN: 9780321127204

Category: Business & Economics

Page: 457

View: 3219

Theory of Asset Pricing unifies the central tenets and techniques of asset valuation into a single, comprehensive resource that is ideal for the first PhD course in asset pricing. By striking a balance between fundamental theories and cutting-edge research, Pennacchi offers the reader a well-rounded introduction to modern asset pricing theory that does not require a high level of mathematical complexity.

Financial Economics, Risk and Information

An Introduction to Methods and Models

Author: Marcelo Bianconi

Publisher: World Scientific

ISBN: 9814485357

Category: Mathematics

Page: 540

View: 9331

Latest Edition: Financial Economics, Risk and Information (2nd Edition) This book presents a balanced blend of pure finance and contract theory in the presence of risk, alternative forms of information structures, and static and dynamic frameworks. In particular, it provides an introduction to the use of stochastic methods in financial economics and finance. The following topics are covered: financial risk and asset pricing and asset returns under alternative contractual arrangements, portfolio choice, individual behavior towards risk, general equilibrium under uncertainty in discrete and continuous time settings, indivisibilities and nonconvexities in a general equilibrium context, contract theory, mechanism design and principal-agent relationships in partial and general equilibrium contexts, credit markets, and option pricing. Contents: Basic Mathematical ToolsMean-Variance Approach to Financial Decision-MakingExpected Utility Approach to Financial Decision-MakingIntroduction to Systems of Financial Markets, Contracts, Contract Design, and Static Agency RelationshipsNon-convexities and Lotteries in General EquilibriumDynamics I: Discrete TimeDynamics II: Continuous Time Readership: Upper level undergraduates, graduate students (master's & PhD) and lecturers in financial economics; researchers; financial market professionals. Keywords:Risk and Information;Systems of Financial Markets;Contracts and Asymmetric Information;General Equilibrium Under Uncertainty;Non-Convexities;Portfolio Choice and Asset Pricing

A Behavioral Approach to Asset Pricing

Author: Hersh Shefrin

Publisher: Elsevier

ISBN: 9780080482248

Category: Business & Economics

Page: 618

View: 7047

Behavioral finance is the study of how psychology affects financial decision making and financial markets. It is increasingly becoming the common way of understanding investor behavior and stock market activity. Incorporating the latest research and theory, Shefrin offers both a strong theory and efficient empirical tools that address derivatives, fixed income securities, mean-variance efficient portfolios, and the market portfolio. The book provides a series of examples to illustrate the theory. The second edition continues the tradition of the first edition by being the one and only book to focus completely on how behavioral finance principles affect asset pricing, now with its theory deepened and enriched by a plethora of research since the first edition

Handbook of Quantitative Finance and Risk Management

Author: Cheng-Few Lee,John Lee

Publisher: Springer Science & Business Media

ISBN: 9780387771175

Category: Business & Economics

Page: 1716

View: 1206

Quantitative finance is a combination of economics, accounting, statistics, econometrics, mathematics, stochastic process, and computer science and technology. Increasingly, the tools of financial analysis are being applied to assess, monitor, and mitigate risk, especially in the context of globalization, market volatility, and economic crisis. This two-volume handbook, comprised of over 100 chapters, is the most comprehensive resource in the field to date, integrating the most current theory, methodology, policy, and practical applications. Showcasing contributions from an international array of experts, the Handbook of Quantitative Finance and Risk Management is unparalleled in the breadth and depth of its coverage. Volume 1 presents an overview of quantitative finance and risk management research, covering the essential theories, policies, and empirical methodologies used in the field. Chapters provide in-depth discussion of portfolio theory and investment analysis. Volume 2 covers options and option pricing theory and risk management. Volume 3 presents a wide variety of models and analytical tools. Throughout, the handbook offers illustrative case examples, worked equations, and extensive references; additional features include chapter abstracts, keywords, and author and subject indices. From "arbitrage" to "yield spreads," the Handbook of Quantitative Finance and Risk Management will serve as an essential resource for academics, educators, students, policymakers, and practitioners.

Asset Pricing

(Revised Edition)

Author: John H. Cochrane

Publisher: Princeton University Press

ISBN: 9781400829132

Category: Business & Economics

Page: 560

View: 6631

Winner of the prestigious Paul A. Samuelson Award for scholarly writing on lifelong financial security, John Cochrane's Asset Pricing now appears in a revised edition that unifies and brings the science of asset pricing up to date for advanced students and professionals. Cochrane traces the pricing of all assets back to a single idea--price equals expected discounted payoff--that captures the macro-economic risks underlying each security's value. By using a single, stochastic discount factor rather than a separate set of tricks for each asset class, Cochrane builds a unified account of modern asset pricing. He presents applications to stocks, bonds, and options. Each model--consumption based, CAPM, multifactor, term structure, and option pricing--is derived as a different specification of the discounted factor. The discount factor framework also leads to a state-space geometry for mean-variance frontiers and asset pricing models. It puts payoffs in different states of nature on the axes rather than mean and variance of return, leading to a new and conveniently linear geometrical representation of asset pricing ideas. Cochrane approaches empirical work with the Generalized Method of Moments, which studies sample average prices and discounted payoffs to determine whether price does equal expected discounted payoff. He translates between the discount factor, GMM, and state-space language and the beta, mean-variance, and regression language common in empirical work and earlier theory. The book also includes a review of recent empirical work on return predictability, value and other puzzles in the cross section, and equity premium puzzles and their resolution. Written to be a summary for academics and professionals as well as a textbook, this book condenses and advances recent scholarship in financial economics.

Optimization Methods in Finance

Author: Gérard Cornuéjols,Javier Peña,Reha Tütüncü

Publisher: Cambridge University Press

ISBN: 1107056748

Category: Business & Economics

Page: 347

View: 2924

Full treatment, from model formulation to computational implementation, of optimization techniques that solve central problems in finance.