The Economics of Continuous-Time Finance

Author: Bernard Dumas,Elisa Luciano

Publisher: MIT Press

ISBN: 0262036541

Category: Business & Economics

Page: 640

View: 9976

This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets -- characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
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Solutions Manual for Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić,Fernando Zapatero

Publisher: MIT Press

ISBN: 9780262532594

Category: Business & Economics

Page: 60

View: 938

This textbook in financial economics provides a rigorous overview of the subject that -- because of an innovative presentation -- is suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three levels of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics.
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Principles of Financial Economics

Author: Stephen F. LeRoy,Jan Werner

Publisher: Cambridge University Press

ISBN: 1107024129

Category: Business & Economics

Page: 370

View: 1143

This second edition includes new chapters on infinite-time security markets and more focus on portfolio choice and risk allocations.
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Financial Economics, Risk and Information

Author: Marcelo Bianconi

Publisher: World Scientific

ISBN: 9814355135

Category: Business & Economics

Page: 475

View: 9432

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.
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The Economics of Commodity Markets

Author: Julien Chevallier,Florian Ielpo

Publisher: John Wiley & Sons

ISBN: 1119945402

Category: Business & Economics

Page: 360

View: 3765

As commodity markets have continued their expansion an extensive and complex financial industry has developed to service them. This industry includes hundreds of participating firms, including asset managers, brokers, consultants, verification agencies and a myriad of other institutions. Universities and other training institutions have responded to this rapid expansion of commodity markets as well as their substantial future growth potential by launching specialized courses on the subject. The Economics of Commodity Markets attempts to bridge the gap between academics and working professionals by way of a textbook that is both theoretically informative and practical. Based in part on the authors’ teaching experience of commodity finance at the University Paris Dauphine, the book covers all important commodity markets topics and includes coverage of recent topics such as financial applications and intuitive economic reasoning. The book is composed of three parts that cover: commodity market dynamics, commodities and the business cycle, and commodities and fundamental value. The key original approach to the subject matter lies in a shift away from the descriptive to the econometric analysis of commodity markets. Information on market trends of commodities is presented in the first part, with a strong emphasis on the quantitative treatment of that information in the remaining two parts of the book. Readers are provided with a clear and succinct exposition of up-to-date financial economic and econometric methods as these apply to commodity markets. In addition a number of useful empirical applications are introduced and discussed. This book is a self-contained offering, discussing all key methods and insights without descending into superfluous technicalities. All explanations are structured in an accessible manner, permitting any reader with a basic understanding of mathematics and finance to work their way through all parts of the book without having to resort to external sources.
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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: 3257

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.
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Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić,Fernando Zapatero

Publisher: MIT Press

ISBN: 9780262033206

Category: Business & Economics

Page: 494

View: 604

An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models--a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.
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Continuous-Time Finance

Author: Robert C. Merton

Publisher: Wiley-Blackwell

ISBN: 9780631185086

Category: Business & Economics

Page: 754

View: 8912

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.
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Financial Asset Pricing Theory

Author: Claus Munk

Publisher: Oxford University Press

ISBN: 0199585490

Category: Business & Economics

Page: 585

View: 1923

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.
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Financial Pricing Models in Continuous Time and Kalman Filtering

Author: B.Philipp Kellerhals

Publisher: Springer Science & Business Media

ISBN: 3662219018

Category: Business & Economics

Page: 250

View: 8314

Straight after its invention in the early sixties, the Kalman filter approach became part of the astronautical guidance system of the Apollo project and therefore received immediate acceptance in the field of electrical engineer ing. This sounds similar to the well known success story of the Black-Scholes model in finance, which has been implemented by the Chicago Board of Op tions Exchange (CBOE) within a few month after its publication in 1973. Recently, the Kalman filter approach has been discovered as a comfortable estimation tool in continuous time finance, bringing together seemingly un related methods from different fields. Dr. B. Philipp Kellerhals contributes to this topic in several respects. Specialized versions of the Kalman filter are developed and implemented for three different continuous time pricing models: A pricing model for closed-end funds, taking advantage from the fact, that the net asset value is observable, a term structure model, where the market price of risk itself is a stochastic variable, and a model for electricity forwards, where the volatility of the price process is stochastic. Beside the fact that these three models can be treated independently, the book as a whole gives the interested reader a comprehensive account of the requirements and capabilities of the Kalman filter applied to finance models. While the first model uses a linear version of the filter, the second model using LIBOR and swap market data requires an extended Kalman filter. Finally, the third model leads to a non-linear transition equation of the filter algorithm.
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Arbitrage Theory in Continuous Time

Author: Tomas Björk

Publisher: Oxford University Press

ISBN: 019957474X

Category: Business & Economics

Page: 525

View: 1896

This accessible introduction to the mathematical underpinnings of finance concentrates on the probabilistic theory of continuous arbitrage pricing of financial derivatives. It includes a solved example for every new technique presented, numerous exercises, and a Further Reading list in each chapter.
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Stochastic Optimization in Continuous Time

Author: Fwu-Ranq Chang

Publisher: Cambridge University Press

ISBN: 9781139452229

Category: Business & Economics

Page: N.A

View: 5509

First published in 2004, this is a rigorous but user-friendly book on the application of stochastic control theory to economics. A distinctive feature of the book is that mathematical concepts are introduced in a language and terminology familiar to graduate students of economics. The standard topics of many mathematics, economics and finance books are illustrated with real examples documented in the economic literature. Moreover, the book emphasises the dos and don'ts of stochastic calculus, cautioning the reader that certain results and intuitions cherished by many economists do not extend to stochastic models. A special chapter (Chapter 5) is devoted to exploring various methods of finding a closed-form representation of the value function of a stochastic control problem, which is essential for ascertaining the optimal policy functions. The book also includes many practice exercises for the reader. Notes and suggested readings are provided at the end of each chapter for more references and possible extensions.
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Financial Markets in Continuous Time

Author: Rose-Anne Dana,Monique Jeanblanc

Publisher: Springer Science & Business Media

ISBN: 3540711503

Category: Mathematics

Page: 324

View: 1645

This book explains key financial concepts, mathematical tools and theories of mathematical finance. It is organized in four parts. The first brings together a number of results from discrete-time models. The second develops stochastic continuous-time models for the valuation of financial assets (the Black-Scholes formula and its extensions), for optimal portfolio and consumption choice, and for obtaining the yield curve and pricing interest rate products. The third part recalls some concepts and results of equilibrium theory and applies this in financial markets. The last part tackles market incompleteness and the valuation of exotic options.
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Continuous-time Stochastic Control and Optimization with Financial Applications

Author: Huyên Pham

Publisher: Springer Science & Business Media

ISBN: 3540895000

Category: Mathematics

Page: 232

View: 1204

Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand, problems in finance have recently led to new developments in the theory of stochastic control. This volume provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations, and martingale duality methods. The theory is discussed in the context of recent developments in this field, with complete and detailed proofs, and is illustrated by means of concrete examples from the world of finance: portfolio allocation, option hedging, real options, optimal investment, etc. This book is directed towards graduate students and researchers in mathematical finance, and will also benefit applied mathematicians interested in financial applications and practitioners wishing to know more about the use of stochastic optimization methods in finance.
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Bewertung von Optionen unter der Coherent Market Hypothesis

Author: Jochen Veith

Publisher: Springer-Verlag

ISBN: 3835092642

Category: Business & Economics

Page: 136

View: 6358

Auf der Basis einer neuen dynamischen Interpretation der Coherent Market Hypothesis entwickelt Jochen Veith zwei Modellvarianten zur Bewertung derivativer Wertpapiere: ein allgemeines Gleichgewichtsmodell mit endogener Bestimmung des lokal risikolosen Zinsprozesses sowie ein partielles Gleichgewichtsmodell mit exogenem Zinssatz.
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Contract Theory in Continuous-Time Models

Author: Jakša Cvitanic,Jianfeng Zhang

Publisher: Springer Science & Business Media

ISBN: 3642142001

Category: Mathematics

Page: 256

View: 2697

In recent years there has been a significant increase of interest in continuous-time Principal-Agent models, or contract theory, and their applications. Continuous-time models provide a powerful and elegant framework for solving stochastic optimization problems of finding the optimal contracts between two parties, under various assumptions on the information they have access to, and the effect they have on the underlying "profit/loss" values. This monograph surveys recent results of the theory in a systematic way, using the approach of the so-called Stochastic Maximum Principle, in models driven by Brownian Motion. Optimal contracts are characterized via a system of Forward-Backward Stochastic Differential Equations. In a number of interesting special cases these can be solved explicitly, enabling derivation of many qualitative economic conclusions.
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International Competitiveness in Financial Services

A Special Issue of the Journal of Financial Services Research, Vol 4

Author: Marvin H. Kosters,A.H. Meltzer

Publisher: Springer Science & Business Media

ISBN: 9780792391487

Category: Business & Economics

Page: 253

View: 2023

financial markets suggests that factors such as differences in capital requirements, limi tations on size or on the range of financial activities in which firms can engage, govern ment guarantee arrangements for deposits or payments, and reporting or disclosure requirements can have important effects on the efficiency of industrial and commercial firms and thus on the international competitive positions of major sectors of the U.S. economy. Regulatory and tax policies must therefore take into account effects on inter national competitive positions in addition to domestic concerns. The articles in this issue analyze differences in market organization and regulation across countries and examine how efficiency in producing financial services is influenced by these differences. These articles were presented and discussed at a conference sponsored by the Amer ican Enterprise Institute in Washington, D.C., on May 31 and June 1, 1990. This confer ence on International Competitiveness in Financial Services brought to the attention of Washington policy officials these analyses by leading scholars in finance. Publication of these studies and critiques in the Journal of Financial Services Research is intended to stimulate further interest in research on these important issues.
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Identification of Continuous-time Models from Sampled Data

Author: Hugues Garnier,Liuping Wang

Publisher: Springer Science & Business Media

ISBN: 9781848001619

Category: Technology & Engineering

Page: 413

View: 3374

This is the first book dedicated to direct continuous-time model identification for 15 years. It cuts down on time spent hunting through journals by providing an overview of much recent research in an increasingly busy field. The CONTSID toolbox discussed in the final chapter gives an overview of developments and practical examples in which MATLAB® can be used for direct time-domain identification of continuous-time systems. This is a valuable reference for a broad audience.
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Handbook of the Economics of International Migration

Author: Barry Chiswick,Paul Miller

Publisher: Elsevier

ISBN: 044463388X

Category: Business & Economics

Page: 1702

View: 1315

The economic literature on international migration interests policymakers as well as academics throughout the social sciences. These volumes, the first of a new subseries in the Handbooks in Economics, describe and analyze scholarship created since the inception of serious attention began in the late 1970s. This literature appears in the general economics journals, in various field journals in economics (especially, but not exclusively, those covering labor market and human resource issues), in interdisciplinary immigration journals, and in papers by economists published in journals associated with history, sociology, political science, demography, and linguistics, among others. Covers a range of topics from labor market outcomes and fiscal consequences to the effects of international migration on the level and distribution of income – and everything in between. Encompasses a wide range of topics related to migration and is multidisciplinary in some aspects, which is crucial on the topic of migration Appeals to a large community of scholars interested in this topic and for whom no overviews or summaries exist
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Continuous-Time Asset Pricing Theory

A Martingale-Based Approach

Author: Robert A. Jarrow

Publisher: Springer

ISBN: 3319778218

Category: Mathematics

Page: 448

View: 7919

Yielding new insights into important market phenomena like asset price bubbles and trading constraints, this is the first textbook to present asset pricing theory using the martingale approach (and all of its extensions). Since the 1970s asset pricing theory has been studied, refined, and extended, and many different approaches can be used to present this material. Existing PhD–level books on this topic are aimed at either economics and business school students or mathematics students. While the first mostly ignore much of the research done in mathematical finance, the second emphasizes mathematical finance but does not focus on the topics of most relevance to economics and business school students. These topics are derivatives pricing and hedging (the Black–Scholes–Merton, the Heath–Jarrow–Morton, and the reduced-form credit risk models), multiple-factor models, characterizing systematic risk, portfolio optimization, market efficiency, and equilibrium (capital asset and consumption) pricing models. This book fills this gap, presenting the relevant topics from mathematical finance, but aimed at Economics and Business School students with strong mathematical backgrounds.
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