Mathematics Of Finance

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An Introduction to Mathematical Finance with Applications

Author : Arlie O. Petters
Publisher : Springer
ISBN 13 : 1493937839
Total Pages : 483 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis An Introduction to Mathematical Finance with Applications by : Arlie O. Petters

Download or read book An Introduction to Mathematical Finance with Applications written by Arlie O. Petters and published by Springer. This book was released on 2016-06-17 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

An Elementary Introduction to Mathematical Finance

Author : Sheldon M. Ross
Publisher : Cambridge University Press
ISBN 13 : 9780521814294
Total Pages : 278 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis An Elementary Introduction to Mathematical Finance by : Sheldon M. Ross

Download or read book An Elementary Introduction to Mathematical Finance written by Sheldon M. Ross and published by Cambridge University Press. This book was released on 2003 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Lectures on the Mathematics of Finance

Author : Ioannis Karatzas
Publisher : American Mathematical Soc.
ISBN 13 : 0821809091
Total Pages : 163 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on the Mathematics of Finance by : Ioannis Karatzas

Download or read book Lectures on the Mathematics of Finance written by Ioannis Karatzas and published by American Mathematical Soc.. This book was released on 1997 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, the author discusses the main aspects of mathematical finance. These include, arbitrage, hedging and pricing of contingent claims, portfolio optimization, incomplete and/or constrained markets, equilibrium, and transaction costs. The book outlines advances made possible during the last fifteen years due to the methodologies of stochastic analysis and control. Readers are presented with current research, and open problems are suggested. This tutorial survey of the rapidly expanding field of mathematical finance is addressed primarily to graduate students in mathematics. Familiarity is assumed with stochastic analysis and parabolic partial differential equations. The text makes significant use of students' mathematical skills, but always in connection with interesting applied problems.

Mathematical Finance

Author : Jacques Janssen
Publisher : John Wiley & Sons
ISBN 13 : 1118622413
Total Pages : 720 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Mathematical Finance by : Jacques Janssen

Download or read book Mathematical Finance written by Jacques Janssen and published by John Wiley & Sons. This book was released on 2013-03-07 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed study of Financial Mathematics. In addition to the extraordinary depth the book provides, it offers a study of the axiomatic approach that is ideally suited for analyzing financial problems. This book is addressed to MBA's, Financial Engineers, Applied Mathematicians, Banks, Insurance Companies, and Students of Business School, of Economics, of Applied Mathematics, of Financial Engineering, Banks, and more.

Financial Mathematics

Author : Giuseppe Campolieti
Publisher : CRC Press
ISBN 13 : 1315362856
Total Pages : 829 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Financial Mathematics by : Giuseppe Campolieti

Download or read book Financial Mathematics written by Giuseppe Campolieti and published by CRC Press. This book was released on 2018-10-24 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

Mathematical Finance

Author : Silvia Romagnoli
Publisher : Societa Editrice Esculapio
ISBN 13 : 9788874887811
Total Pages : 294 pages
Book Rating : 4.8/5 (878 download)

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Book Synopsis Mathematical Finance by : Silvia Romagnoli

Download or read book Mathematical Finance written by Silvia Romagnoli and published by Societa Editrice Esculapio. This book was released on 2015 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: True to its title, this book is focused on mathematical finance field and it is draft in order to accomplish the level aimed at second or third year undergraduate students, not only of mathematics but also, for example, business management, finance and economics. The aim of this book is to provide the basic concepts concerning the mathematical finance which is unescapable to understand the way modern financial markets operate.Thanks to these fundamental concepts, which are completely concentrated on a deterministic modelization of the markets, students are ready to approach more advanced courses focused on the modern area of financial math. Here the deterministic assumption is left and stochastic assumptions concerning the evolution of the involved variables are included.

Mathematics for Finance

Author : Marek Capinski
Publisher : Springer
ISBN 13 : 1852338466
Total Pages : 314 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Mathematics for Finance by : Marek Capinski

Download or read book Mathematics for Finance written by Marek Capinski and published by Springer. This book was released on 2006-04-18 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Concepts and Practice of Mathematical Finance

Author : Mark Suresh Joshi
Publisher : Cambridge University Press
ISBN 13 : 9780521823555
Total Pages : 496 pages
Book Rating : 4.8/5 (235 download)

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Book Synopsis The Concepts and Practice of Mathematical Finance by : Mark Suresh Joshi

Download or read book The Concepts and Practice of Mathematical Finance written by Mark Suresh Joshi and published by Cambridge University Press. This book was released on 2003-12-24 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: For those starting out as practitioners of mathematical finance, this is an ideal introduction. It provides the reader with a clear understanding of the intuition behind derivatives pricing, how models are implemented, and how they are used and adapted in practice. Strengths and weaknesses of different models, e.g. Black-Scholes, stochastic volatility, jump-diffusion and variance gamma, are examined. Both the theory and the implementation of the industry-standard LIBOR market model are considered in detail. Uniquely, the book includes extensive discussion of the ideas behind the models, and is even-handed in examining various approaches to the subject. Thus each pricing problem is solved using several methods. Worked examples and exercises, with answers, are provided in plenty, and computer projects are given for many problems. The author brings to this book a blend of practical experience and rigorous mathematical background, and supplies here the working knowledge needed to become a good quantitative analyst.

Mathematics of Finance

Author : Donald Saari
Publisher :
ISBN 13 : 9783030254445
Total Pages : pages
Book Rating : 4.2/5 (544 download)

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Book Synopsis Mathematics of Finance by : Donald Saari

Download or read book Mathematics of Finance written by Donald Saari and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges. Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black-Scholes equation. Omitting the mechanics of solving Black-Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. "Intuition breaks" frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context. Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text's deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author's lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study.

Mathematical Finance

Author : Ernst Eberlein
Publisher : Springer Nature
ISBN 13 : 3030261069
Total Pages : 774 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematical Finance by : Ernst Eberlein

Download or read book Mathematical Finance written by Ernst Eberlein and published by Springer Nature. This book was released on 2019-12-03 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field. Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance. Graduate students, researchers as well as practitioners will benefit from this monograph.

Aspects of Mathematical Finance

Author : Marc Yor
Publisher : Springer Science & Business Media
ISBN 13 : 354075265X
Total Pages : 80 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Aspects of Mathematical Finance by : Marc Yor

Download or read book Aspects of Mathematical Finance written by Marc Yor and published by Springer Science & Business Media. This book was released on 2008-02-13 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays is based on lectures given at the "Académie des Sciences" in Paris by internationally renowned experts in mathematical finance. The collection develops, in simple yet rigorous terms, some challenging topics such as risk measures, the notion of arbitrage, dynamic models involving fundamental stochastic processes like Brownian motion and Lévy processes. The book also features a description of the trainings of French financial analysts.

Advances in Mathematical Finance

Author : Michael C. Fu
Publisher : Springer Science & Business Media
ISBN 13 : 0817645454
Total Pages : 336 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Mathematical Finance by : Michael C. Fu

Download or read book Advances in Mathematical Finance written by Michael C. Fu and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.

Measure, Probability, and Mathematical Finance

Author : Guojun Gan
Publisher : John Wiley & Sons
ISBN 13 : 1118831969
Total Pages : 54 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Measure, Probability, and Mathematical Finance by : Guojun Gan

Download or read book Measure, Probability, and Mathematical Finance written by Guojun Gan and published by John Wiley & Sons. This book was released on 2014-04-07 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical theory and financial models developed and used on Wall Street Providing both a theoretical and practical approach to the underlying mathematical theory behind financial models, Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach presents important concepts and results in measure theory, probability theory, stochastic processes, and stochastic calculus. Measure theory is indispensable to the rigorous development of probability theory and is also necessary to properly address martingale measures, the change of numeraire theory, and LIBOR market models. In addition, probability theory is presented to facilitate the development of stochastic processes, including martingales and Brownian motions, while stochastic processes and stochastic calculus are discussed to model asset prices and develop derivative pricing models. The authors promote a problem-solving approach when applying mathematics in real-world situations, and readers are encouraged to address theorems and problems with mathematical rigor. In addition, Measure, Probability, and Mathematical Finance features: A comprehensive list of concepts and theorems from measure theory, probability theory, stochastic processes, and stochastic calculus Over 500 problems with hints and select solutions to reinforce basic concepts and important theorems Classic derivative pricing models in mathematical finance that have been developed and published since the seminal work of Black and Scholes Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach is an ideal textbook for introductory quantitative courses in business, economics, and mathematical finance at the upper-undergraduate and graduate levels. The book is also a useful reference for readers who need to build their mathematical skills in order to better understand the mathematical theory of derivative pricing models.

Mathematical Finance and Probability

Author : Pablo Koch Medina
Publisher : Birkhäuser
ISBN 13 : 3034880413
Total Pages : 326 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Mathematical Finance and Probability by : Pablo Koch Medina

Download or read book Mathematical Finance and Probability written by Pablo Koch Medina and published by Birkhäuser. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book presents the theory underlying the valuation of derivative financial instruments, which is becoming a standard part of the professional toolbox in the financial industry. It provides great insight into the underlying economic ideas in a very readable form, putting the reader in an excellent position to proceed to the more general continuous-time theory.

Mathematical Finance

Author : Michael Kohlmann
Publisher : Birkhäuser
ISBN 13 : 3034882912
Total Pages : 373 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Mathematical Finance by : Michael Kohlmann

Download or read book Mathematical Finance written by Michael Kohlmann and published by Birkhäuser. This book was released on 2012-12-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2000 is the centenary year of the publication of Bachelier's thesis which - together with Harry Markovitz Ph. D. dissertation on portfolio selection in 1952 and Fischer Black's and Myron Scholes' solution of an option pricing problem in 1973 - is considered as the starting point of modern finance as a mathematical discipline. On this remarkable anniversary the workshop on mathematical finance held at the University of Konstanz brought together practitioners, economists and mathematicians to discuss the state of the art. Apart from contributions to the known discrete, Brownian, and Lvy process models, first attempts to describe a market in a reasonable way by a fractional Brownian motion model are presented, opening many new aspects for practitioners and new problems for mathematicians. As most dynamical financial problems are stochastic filtering or control problems many talks presented adaptations of control methods and techniques to the classical financial problems in portfolio selection irreversible investment risk sensitive asset allocation capital asset pricing hedging contingent claims option pricing interest rate theory. The contributions of practitioners link the theoretical results to the steadily increasing flow of real world problems from financial institutions into mathematical laboratories. The present volume reflects this exchange of theoretical and applied results, methods and techniques that made the workshop a fruitful contribution to the interdisciplinary work in mathematical finance.

Mathematical Finance

Author : Silvia Romagnoli
Publisher : Società Editrice Esculapio
ISBN 13 : 8874889747
Total Pages : 416 pages
Book Rating : 4.8/5 (748 download)

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Book Synopsis Mathematical Finance by : Silvia Romagnoli

Download or read book Mathematical Finance written by Silvia Romagnoli and published by Società Editrice Esculapio. This book was released on 2016-07-18 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these two books is to provide the basic theoretical concepts and the best practice concerning the mathematical nance which is unescapable to understand the way modern financial markets operate. Thanks to these fundamental concepts, which are completely concentrated on a deterministic modelization of the markets, students are ready to approach more advanced courses focused on the modern area of financial math where the deterministic assumption is left and stochastic assumptions concerning the evolution of the involved variables are included.

Methods of Mathematical Finance

Author : Ioannis Karatzas
Publisher : Springer
ISBN 13 : 1493968459
Total Pages : 415 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Methods of Mathematical Finance by : Ioannis Karatzas

Download or read book Methods of Mathematical Finance written by Ioannis Karatzas and published by Springer. This book was released on 2017-01-10 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets, within the context of Brownian-motion-driven asset prices. The latter topic is extended to a study of equilibrium, providing conditions for existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the book. This book will be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options.