Arbitrage Theory in Continuous Time

Arbitrage Theory in Continuous Time
Author :
Publisher : OUP Oxford
Total Pages : 600
Release :
ISBN-10 : 9780191610295
ISBN-13 : 0191610291
Rating : 4/5 (95 Downloads)

Book Synopsis Arbitrage Theory in Continuous Time by : Tomas Björk

Download or read book Arbitrage Theory in Continuous Time written by Tomas Björk and published by OUP Oxford. This book was released on 2009-08-06 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Arbitrage Theory in Continuous Time

Arbitrage Theory in Continuous Time
Author :
Publisher : OUP Oxford
Total Pages : 552
Release :
ISBN-10 : 9780199574742
ISBN-13 : 019957474X
Rating : 4/5 (42 Downloads)

Book Synopsis Arbitrage Theory in Continuous Time by : Tomas Björk

Download or read book Arbitrage Theory in Continuous Time written by Tomas Björk and published by OUP Oxford. This book was released on 2009-08-06 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Economics of Continuous-Time Finance

The Economics of Continuous-Time Finance
Author :
Publisher : MIT Press
Total Pages : 641
Release :
ISBN-10 : 9780262036542
ISBN-13 : 0262036541
Rating : 4/5 (42 Downloads)

Book Synopsis The Economics of Continuous-Time Finance by : Bernard Dumas

Download or read book The Economics of Continuous-Time Finance written by Bernard Dumas and published by MIT Press. This book was released on 2017-10-27 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. 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.

Continuous-Time Asset Pricing Theory

Continuous-Time Asset Pricing Theory
Author :
Publisher : Springer Nature
Total Pages : 470
Release :
ISBN-10 : 9783030744106
ISBN-13 : 3030744108
Rating : 4/5 (06 Downloads)

Book Synopsis Continuous-Time Asset Pricing Theory by : Robert A. Jarrow

Download or read book Continuous-Time Asset Pricing Theory written by Robert A. Jarrow and published by Springer Nature. This book was released on 2021-07-30 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asset pricing theory yields deep insights into crucial market phenomena such as stock market bubbles. Now in a newly revised and updated edition, this textbook guides the reader through this theory and its applications to markets. The new edition features ​new results on state dependent preferences, a characterization of market efficiency and a more general presentation of multiple-factor models using only the assumptions of no arbitrage and no dominance. Taking an innovative approach based on martingales, the book presents advanced techniques of mathematical finance in a business and economics context, covering a range of relevant topics such as derivatives pricing and hedging, systematic risk, portfolio optimization, market efficiency, and equilibrium pricing models. For applications to high dimensional statistics and machine learning, new multi-factor models are given. This new edition integrates suicide trading strategies into the understanding of asset price bubbles, greatly enriching the overall presentation and further strengthening the book’s underlying theme of economic bubbles. Written by a leading expert in risk management, Continuous-Time Asset Pricing Theory is the first textbook on asset pricing theory with a martingale approach. Based on the author’s extensive teaching and research experience on the topic, it is particularly well suited for graduate students in business and economics with a strong mathematical background.

The Mathematics of Arbitrage

The Mathematics of Arbitrage
Author :
Publisher : Springer Science & Business Media
Total Pages : 371
Release :
ISBN-10 : 3540312994
ISBN-13 : 9783540312994
Rating : 4/5 (94 Downloads)

Book Synopsis The Mathematics of Arbitrage by : Freddy Delbaen

Download or read book The Mathematics of Arbitrage written by Freddy Delbaen and published by Springer Science & Business Media. This book was released on 2006-02-14 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proof of the "Fundamental Theorem of Asset Pricing" in its general form by Delbaen and Schachermayer was a milestone in the history of modern mathematical finance and now forms the cornerstone of this book. Puts into book format a series of major results due mostly to the authors of this book. Embeds highest-level research results into a treatment amenable to graduate students, with introductory, explanatory background. Awaited in the quantitative finance community.

Arbitrage Theory in Continuous Time

Arbitrage Theory in Continuous Time
Author :
Publisher : Oxford University Press
Total Pages : 486
Release :
ISBN-10 : 9780191533846
ISBN-13 : 019153384X
Rating : 4/5 (46 Downloads)

Book Synopsis Arbitrage Theory in Continuous Time by : Tomas Björk

Download or read book Arbitrage Theory in Continuous Time written by Tomas Björk and published by Oxford University Press. This book was released on 2004-03 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sounds mathematical principles with economic applications. Concentrating on the probabilistics 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 measure theory, probability theory, Girsanov transformations, LIBOR and swap market models, and martingale representations, providing two full treatments of arbitrage pricing: the classical delta-hedging and the modern martingales. More advanced areas of study are clearly marked to help students and teachers use the book as it suits their needs.

Stochastic Calculus for Finance I

Stochastic Calculus for Finance I
Author :
Publisher : Springer Science & Business Media
Total Pages : 212
Release :
ISBN-10 : 0387249680
ISBN-13 : 9780387249681
Rating : 4/5 (80 Downloads)

Book Synopsis Stochastic Calculus for Finance I by : Steven Shreve

Download or read book Stochastic Calculus for Finance I written by Steven Shreve and published by Springer Science & Business Media. This book was released on 2005-06-28 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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