Stochastic Methods In Asset Pricing

Author : Andrew Lyasoff
Publisher : MIT Press
Page : 632 pages
File Size : 44,5 Mb
Release : 2017-08-25
Category : Business & Economics
ISBN : 9780262036559

Get Book

Stochastic Methods in Asset Pricing by Andrew Lyasoff Pdf

A comprehensive overview of the theory of stochastic processes and its connections to asset pricing, accompanied by some concrete applications. This book presents a self-contained, comprehensive, and yet concise and condensed overview of the theory and methods of probability, integration, stochastic processes, optimal control, and their connections to the principles of asset pricing. The book is broader in scope than other introductory-level graduate texts on the subject, requires fewer prerequisites, and covers the relevant material at greater depth, mainly without rigorous technical proofs. The book brings to an introductory level certain concepts and topics that are usually found in advanced research monographs on stochastic processes and asset pricing, and it attempts to establish greater clarity on the connections between these two fields. The book begins with measure-theoretic probability and integration, and then develops the classical tools of stochastic calculus, including stochastic calculus with jumps and Lévy processes. For asset pricing, the book begins with a brief overview of risk preferences and general equilibrium in incomplete finite endowment economies, followed by the classical asset pricing setup in continuous time. The goal is to present a coherent single overview. For example, the text introduces discrete-time martingales as a consequence of market equilibrium considerations and connects them to the stochastic discount factors before offering a general definition. It covers concrete option pricing models (including stochastic volatility, exchange options, and the exercise of American options), Merton's investment–consumption problem, and several other applications. The book includes more than 450 exercises (with detailed hints). Appendixes cover analysis and topology and computer code related to the practical applications discussed in the text.

Author : A.G. Malliaris
Publisher : North Holland
Page : 332 pages
File Size : 47,6 Mb
Release : 1982
Category : Business & Economics
ISBN : UCSC:32106010712633

Get Book

Stochastic Methods in Economics and Finance by A.G. Malliaris Pdf

Theory and application of a variety of mathematical techniques in economics are presented in this volume. Topics discussed include: martingale methods, stochastic processes, optimal stopping, the modeling of uncertainty using a Wiener process, Itô's Lemma as a tool of stochastic calculus, and basic facts about stochastic differential equations. The notion of stochastic ability and the methods of stochastic control are discussed, and their use in economic theory and finance is illustrated with numerous applications. The applications covered include: futures, pricing, job search, stochastic capital theory, stochastic economic growth, the rational expectations hypothesis, a stochastic macroeconomic model, competitive firm under price uncertainty, the Black-Scholes option pricing theory, optimum consumption and portfolio rules, demand for index bonds, term structure of interest rates, the market risk adjustment in project valuation, demand for cash balances and an asset pricing model.

Author : Steven Shreve
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 52,6 Mb
Release : 2005-06-28
Category : Mathematics
ISBN : 0387249680

Get Book

Stochastic Calculus for Finance I by Steven Shreve Pdf

Developed for the professional Master's program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several years Exercises conclude every chapter; some of these extend the theory while others are drawn from practical problems in quantitative finance

Author : P. C. G. Vassiliou
Publisher : John Wiley & Sons
Page : 296 pages
File Size : 49,7 Mb
Release : 2013-03-01
Category : Mathematics
ISBN : 9781118618660

Get Book

Discrete-time Asset Pricing Models in Applied Stochastic Finance by P. C. G. Vassiliou Pdf

Stochastic finance and financial engineering have been rapidly expanding fields of science over the past four decades, mainly due to the success of sophisticated quantitative methodologies in helping professionals manage financial risks. In recent years, we have witnessed a tremendous acceleration in research efforts aimed at better comprehending, modeling and hedging this kind of risk. These two volumes aim to provide a foundation course on applied stochastic finance. They are designed for three groups of readers: firstly, students of various backgrounds seeking a core knowledge on the subject of stochastic finance; secondly financial analysts and practitioners in the investment, banking and insurance industries; and finally other professionals who are interested in learning advanced mathematical and stochastic methods, which are basic knowledge in many areas, through finance. Volume 1 starts with the introduction of the basic financial instruments and the fundamental principles of financial modeling and arbitrage valuation of derivatives. Next, we use the discrete-time binomial model to introduce all relevant concepts. The mathematical simplicity of the binomial model also provides us with the opportunity to introduce and discuss in depth concepts such as conditional expectations and martingales in discrete time. However, we do not expand beyond the needs of the stochastic finance framework. Numerous examples, each highlighted and isolated from the text for easy reference and identification, are included. The book concludes with the use of the binomial model to introduce interest rate models and the use of the Markov chain model to introduce credit risk. This volume is designed in such a way that, among other uses, makes it useful as an undergraduate course.

Author : P. C. G. Vassiliou
Publisher : Wiley-ISTE
Page : 0 pages
File Size : 53,9 Mb
Release : 2014-07-08
Category : Mathematics
ISBN : 1848211597

Get Book

Continuous-time Asset Pricing Models in Applied Stochastic Finance by P. C. G. Vassiliou Pdf

Stochastic finance and financial engineering have been rapidly expanding fields of science over the past four decades, mainly due to the success of sophisticated quantitative methodologies in helping professionals manage financial risks. In recent years, we have witnessed a tremendous acceleration in research efforts aimed at better comprehending, modeling and hedging this kind of risk. These two volumes aim to provide a foundation course on applied stochastic finance. They are designed for three groups of readers: firstly, students of various backgrounds seeking a core knowledge on the subject of stochastic finance; secondly financial analysts and practitioners in the investment, banking and insurance industries; and finally other professionals who are interested in learning advanced mathematical and stochastic methods, which are basic knowledge in many areas, through finance. In Volume 2 we study continuous time models by presenting the necessary material from continuous martingales, measure theory and stochastic differential equations as models for various assets, such as the Wiener process, Brownian motion, etc. We then build, with many examples and intuitive explanations, the necessary stochastic analysis background i.e. Itô’s lemma, stochastic integration, Girsanovís theorem, etc. The book then guides the reader into the pricing of vanilla options in continuous time i.e. the continuous time models of Black and Scholes, followed by interest rate models and the models of Heath-Jarrow-Morton and the forward Libor model. The final part of the book presents the pricing of credit derivatives.

Author : Wayne Ferson
Publisher : MIT Press
Page : 497 pages
File Size : 49,6 Mb
Release : 2019-03-12
Category : Business & Economics
ISBN : 9780262039376

Get Book

Empirical Asset Pricing by Wayne Ferson Pdf

An introduction to the theory and methods of empirical asset pricing, integrating classical foundations with recent developments. This book offers a comprehensive advanced introduction to asset pricing, the study of models for the prices and returns of various securities. The focus is empirical, emphasizing how the models relate to the data. The book offers a uniquely integrated treatment, combining classical foundations with more recent developments in the literature and relating some of the material to applications in investment management. It covers the theory of empirical asset pricing, the main empirical methods, and a range of applied topics. The book introduces the theory of empirical asset pricing through three main paradigms: mean variance analysis, stochastic discount factors, and beta pricing models. It describes empirical methods, beginning with the generalized method of moments (GMM) and viewing other methods as special cases of GMM; offers a comprehensive review of fund performance evaluation; and presents selected applied topics, including a substantial chapter on predictability in asset markets that covers predicting the level of returns, volatility and higher moments, and predicting cross-sectional differences in returns. Other chapters cover production-based asset pricing, long-run risk models, the Campbell-Shiller approximation, the debate on covariance versus characteristics, and the relation of volatility to the cross-section of stock returns. An extensive reference section captures the current state of the field. The book is intended for use by graduate students in finance and economics; it can also serve as a reference for professionals.

Author : CIME-EMS Summer School,Professor of Finance and Howard J Creekmore Profe Kerry Back,Tomasz R. Bielecki,CIME-EMS School on Stochastic Methods,Christian Hipp,Shige Peng,Walter Schachermayer
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 54,7 Mb
Release : 2004
Category : Finance
ISBN : 3540229531

Get Book

Stochastic Methods in Finance by CIME-EMS Summer School,Professor of Finance and Howard J Creekmore Profe Kerry Back,Tomasz R. Bielecki,CIME-EMS School on Stochastic Methods,Christian Hipp,Shige Peng,Walter Schachermayer Pdf

Author : T. Kariya,Regina Liu
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 46,5 Mb
Release : 2011-06-27
Category : Business & Economics
ISBN : 9781441992307

Get Book

Asset Pricing by T. Kariya,Regina Liu Pdf

1. Main Goals The theory of asset pricing has grown markedly more sophisticated in the last two decades, with the application of powerful mathematical tools such as probability theory, stochastic processes and numerical analysis. The main goal of this book is to provide a systematic exposition, with practical appli cations, of the no-arbitrage theory for asset pricing in financial engineering in the framework of a discrete time approach. The book should also serve well as a textbook on financial asset pricing. It should be accessible to a broad audi ence, in particular to practitioners in financial and related industries, as well as to students in MBA or graduate/advanced undergraduate programs in finance, financial engineering, financial econometrics, or financial information science. The no-arbitrage asset pricing theory is based on the simple and well ac cepted principle that financial asset prices are instantly adjusted at each mo ment in time in order not to allow an arbitrage opportunity. Here an arbitrage opportunity is an opportunity to have a portfolio of value aat an initial time lead to a positive terminal value with probability 1 (equivalently, at no risk), with money neither added nor subtracted from the portfolio in rebalancing dur ing the investment period. It is necessary for a portfolio of valueato include a short-sell position as well as a long-buy position of some assets.

Author : Steven E. Shreve
Publisher : Unknown
Page : 128 pages
File Size : 40,9 Mb
Release : 2019
Category : Electronic books
ISBN : OCLC:1089684405

Get Book

Stochastic Calculus for Finance by Steven E. Shreve Pdf

Author : Wolfgang Paul,Jörg Baschnagel
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 45,5 Mb
Release : 2013-07-11
Category : Science
ISBN : 9783319003276

Get Book

Stochastic Processes by Wolfgang Paul,Jörg Baschnagel Pdf

This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.

Author : Masaaki Kijima
Publisher : CRC Press
Page : 346 pages
File Size : 42,6 Mb
Release : 2016-04-19
Category : Business & Economics
ISBN : 9781482211535

Get Book

Stochastic Processes with Applications to Finance by Masaaki Kijima Pdf

Financial engineering has been proven to be a useful tool for risk management, but using the theory in practice requires a thorough understanding of the risks and ethical standards involved. Stochastic Processes with Applications to Finance, Second Edition presents the mathematical theory of financial engineering using only basic mathematical tools

Author : Eric Ghysels
Publisher : Unknown
Page : 128 pages
File Size : 53,9 Mb
Release : 2012
Category : Electronic
ISBN : OCLC:1290778739

Get Book

Market Time and Asset Price Movements by Eric Ghysels Pdf

Subordinated stochastic processes, also called time deformed stochastic processes, have been proposed in a variety of contexts to describe asset price behavior. They are used when the movement of prices is tied to the number of market transactions, trading volume or the more elusive concept of information arrival. The aim of the paper is to present a comprehensive treatment of the stochastic process theory as well as the statistical inference of subordinated processes. Numerous applications in finance are provided to illustrate the use of the processes to model market behavior and asset returns.

Author : Jan Vecer
Publisher : CRC Press
Page : 339 pages
File Size : 41,7 Mb
Release : 2011-01-06
Category : Business & Economics
ISBN : 9781439812525

Get Book

Stochastic Finance by Jan Vecer Pdf

Unlike much of the existing literature, Stochastic Finance: A Numeraire Approach treats price as a number of units of one asset needed for an acquisition of a unit of another asset instead of expressing prices in dollar terms exclusively. This numeraire approach leads to simpler pricing options for complex products, such as barrier, lookback, quant

Author : Anatoliy Malyarenko,Ying Ni,Milica Rančić,Sergei Silvestrov
Publisher : Springer Nature
Page : 907 pages
File Size : 50,6 Mb
Release : 2023-01-26
Category : Mathematics
ISBN : 9783031178207

Get Book

Stochastic Processes, Statistical Methods, and Engineering Mathematics by Anatoliy Malyarenko,Ying Ni,Milica Rančić,Sergei Silvestrov Pdf

The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019, was to showcase the frontiers of research in several important areas of mathematics, mathematical statistics, and its applications. The conference was organized around the following topics 1. Stochastic processes and modern statistical methods,2. Engineering mathematics,3. Algebraic structures and their applications. The conference brought together a select group of scientists, researchers, and practitioners from the industry who are actively contributing to the theory and applications of stochastic, and algebraic structures, methods, and models. The conference provided early stage researchers with the opportunity to learn from leaders in the field, to present their research, as well as to establish valuable research contacts in order to initiate collaborations in Sweden and abroad. New methods for pricing sophisticated financial derivatives, limit theorems for stochastic processes, advanced methods for statistical analysis of financial data, and modern computational methods in various areas of applied science can be found in this book. The principal reason for the growing interest in these questions comes from the fact that we are living in an extremely rapidly changing and challenging environment. This requires the quick introduction of new methods, coming from different areas of applied science. Advanced concepts in the book are illustrated in simple form with the help of tables and figures. Most of the papers are self-contained, and thus ideally suitable for self-study. Solutions to sophisticated problems located at the intersection of various theoretical and applied areas of the natural sciences are presented in these proceedings.

Author : Stephen J. Taylor
Publisher : Princeton University Press
Page : 544 pages
File Size : 55,6 Mb
Release : 2011-02-11
Category : Business & Economics
ISBN : 9781400839254

Get Book

Asset Price Dynamics, Volatility, and Prediction by Stephen J. Taylor Pdf

This book shows how current and recent market prices convey information about the probability distributions that govern future prices. Moving beyond purely theoretical models, Stephen Taylor applies methods supported by empirical research of equity and foreign exchange markets to show how daily and more frequent asset prices, and the prices of option contracts, can be used to construct and assess predictions about future prices, their volatility, and their probability distributions. Stephen Taylor provides a comprehensive introduction to the dynamic behavior of asset prices, relying on finance theory and statistical evidence. He uses stochastic processes to define mathematical models for price dynamics, but with less mathematics than in alternative texts. The key topics covered include random walk tests, trading rules, ARCH models, stochastic volatility models, high-frequency datasets, and the information that option prices imply about volatility and distributions. Asset Price Dynamics, Volatility, and Prediction is ideal for students of economics, finance, and mathematics who are studying financial econometrics, and will enable researchers to identify and apply appropriate models and methods. It will likewise be a valuable resource for quantitative analysts, fund managers, risk managers, and investors who seek realistic expectations about future asset prices and the risks to which they are exposed.