Portfolio Theory And Arbitrage A Course In Mathematical Finance
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Portfolio Theory And Arbitrage A Course In Mathematical Finance
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Author : Ioannis Karatzas
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-09-20
Portfolio Theory And Arbitrage A Course In Mathematical Finance written by Ioannis Karatzas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Education categories.
This book develops a mathematical theory for finance, based on a simple and intuitive absence-of-arbitrage principle. This posits that it should not be possible to fund a non-trivial liability, starting with initial capital arbitrarily near zero. The principle is easy-to-test in specific models, as it is described in terms of the underlying market characteristics; it is shown to be equivalent to the existence of the so-called “Kelly” or growth-optimal portfolio, of the log-optimal portfolio, and of appropriate local martingale deflators. The resulting theory is powerful enough to treat in great generality the fundamental questions of hedging, valuation, and portfolio optimization. The book contains a considerable amount of new research and results, as well as a significant number of exercises. It can be used as a basic text for graduate courses in Probability and Stochastic Analysis, and in Mathematical Finance. No prior familiarity with finance is required, but it is assumed that readers have a good working knowledge of real analysis, measure theory, and of basic probability theory. Familiarity with stochastic analysis is also assumed, as is integration with respect to continuous semimartingales.
Introduction To Mathematical Portfolio Theory
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Author : Mark S. Joshi
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-11
Introduction To Mathematical Portfolio Theory written by Mark S. Joshi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-11 with Business & Economics categories.
This concise yet comprehensive guide focuses on the mathematics of portfolio theory without losing sight of the finance.
Mathematics For Finance
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Author : Marek Capinski
language : en
Publisher: Springer
Release Date : 2006-04-18
Mathematics For Finance written by Marek Capinski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Business & Economics categories.
This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.
Financial Markets Theory
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Author : Emilio Barucci
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Financial Markets Theory written by Emilio Barucci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
Financial Markets Theory presents classical asset pricing theory, a theory composed of milestones such as portfolio selection, risk aversion, fundamental asset pricing theorem, portfolio frontier, CAPM, CCAPM, APT, the Modigliani-Miller Theorem, no arbitrage/risk neutral evaluation and information in financial markets. Starting from an analysis of the empirical tests of the above theories, the author provides a discussion of the most recent literature, pointing out the main advancements within classical asset pricing theory and the new approaches designed to address open problems (e.g. behavioural finance). It is the only textbook to address the economic foundations of financial markets theory from a mathematically rigorous standpoint, and to offer a self-contained critical discussion, based on empirical results. Financial Markets Theory is an advanced book, well-suited for a first graduate course in financial markets, economics or financial mathematics. It is self-contained and introduces topics in a setting accessible to economists and practitioners equipped with a basic mathematical background. For those not acquainted with standard microeconomic theory, the tools needed to follow the analysis are presented early in the book. The approach makes this a vital handbook for practitioners in insurance, banking, investment funds and financial consultancy, as well as an excellent graduate-reference textbook.
Option Pricing And Portfolio Optimization
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Author : Ralf Korn
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Option Pricing And Portfolio Optimization written by Ralf Korn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Business & Economics categories.
Introduces Ito calculus, concentrating on applications in financial mathematics. Builds the standard diffusion type security market model, then treats the pricing of options in detail, introducing the method of option pricing via replication and no arbitrage. Presents a method of pricing options with partial differential equations, and presents examples of exotic options. Describes basics of Monte Carlo methods, tree methods, and finite difference methods, and deals with the martingale method and the stochastic control method for portfolio optimization. Assumes a previous basic course in probability theory. Author information is not given. Annotation copyrighted by Book News Inc., Portland, OR
Stochastic Portfolio Theory
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Author : E. Robert Fernholz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Stochastic Portfolio Theory written by E. Robert Fernholz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Business & Economics categories.
Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. On a practical level, stochastic portfolio theory has been the basis for strategies used for over a decade by the institutional equity manager INTECH, where the author has served as chief investment officer. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.
Ffit 2022
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Author : Holger Haldenwang
language : en
Publisher: European Alliance for Innovation
Release Date : 2023-04-14
Ffit 2022 written by Holger Haldenwang and has been published by European Alliance for Innovation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-14 with Business & Economics categories.
The 2022 International Conference on Financial Innovation, FinTech and Information Technology (FFIT 2022), hosted by Shenzhen University of Technology and organized by the Financial Innovation and Fintech Research Center of Shenzhen University of Technology, was held on October 28-30, 2022 in Shenzhen, China. Due to the current COVID-19 pandemic and the strict travelling rules, it is still difficult to take international travel for all our attendees to participate in the conference. Therefore, FFIT 2022 was held as a hybrid event. FFIT 2022 brought together innovative academics and industrial experts in the field of Financial Innovation, Financial Technology and Information Technology to discuss the latest research results in this field.
Arbitrage Theory In Continuous Time
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Author : Tomas Björk
language : en
Publisher: OUP Oxford
Release Date : 2009-08-06
Arbitrage Theory In Continuous Time written by Tomas Björk and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-06 with Business & Economics categories.
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.
Dynamic Asset Pricing Theory
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Author : Darrell Duffie
language : en
Publisher: Princeton University Press
Release Date : 2010-01-27
Dynamic Asset Pricing Theory written by Darrell Duffie and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-27 with Business & Economics categories.
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.
The Mathematics Of Arbitrage
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Author : Freddy Delbaen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-14
The Mathematics Of Arbitrage written by Freddy Delbaen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-14 with Mathematics categories.
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.