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Mathematics Of Finance With Canandian Applications
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Book Synopsis Undergraduate Introduction To Financial Mathematics, An (Second Edition) by : J Robert Buchanan
Download or read book Undergraduate Introduction To Financial Mathematics, An (Second Edition) written by J Robert Buchanan and published by World Scientific Publishing Company. This book was released on 2008-09-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three- or four-semester sequence of calculus courses.It introduces the Theory of Interest, discrete and continuous random variables and probability, stochastic processes, linear programming, the Fundamental Theorem of Finance, option pricing, hedging, and portfolio optimization. The reader progresses from a solid grounding in multi-variable calculus through a derivation of the Black-Scholes equation, its solution, properties, and applications.
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.
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 2014-03-12 with total page 826 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.
Author :Hummelbrunner, S. A. (Siegfried August) Publisher :Scarborough, Ont. : Prentice-Hall Canada ISBN 13 :9780135641132 Total Pages :526 pages Book Rating :4.6/5 (411 download)
Book Synopsis Mathematics of Finance with Canadian Applications by : Hummelbrunner, S. A. (Siegfried August)
Download or read book Mathematics of Finance with Canadian Applications written by Hummelbrunner, S. A. (Siegfried August) and published by Scarborough, Ont. : Prentice-Hall Canada. This book was released on 1991 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics of Finance with Canadian Applications by : Siegfried August Hummelbrunner
Download or read book Mathematics of Finance with Canadian Applications written by Siegfried August Hummelbrunner and published by . This book was released on 2007-06-01 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics of Finance by : Donald G. Saari
Download or read book Mathematics of Finance written by Donald G. Saari and published by Springer Nature. This book was released on 2019-08-31 with total page 144 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.
Book Synopsis Financial Mathematics by : Kevin J. Hastings
Download or read book Financial Mathematics written by Kevin J. Hastings and published by CRC Press. This book was released on 2022-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial Mathematics: From Discrete to Continuous Time is a study of the mathematical ideas and techniques that are important to the two main arms of the area of financial mathematics: portfolio optimization and derivative valuation. The text is authored for courses taken by advanced undergraduates, MBA, or other students in quantitative finance programs. The approach will be mathematically correct but informal, sometimes omitting proofs of the more difficult results and stressing practical results and interpretation. The text will not be dependent on any particular technology, but it will be laced with examples requiring the numerical and graphical power of the machine. The text illustrates simulation techniques to stand in for analytical techniques when the latter are impractical. There will be an electronic version of the text that integrates Mathematica functionality into the development, making full use of the computational and simulation tools that this program provides. Prerequisites are good courses in mathematical probability, acquaintance with statistical estimation, and a grounding in matrix algebra. The highlights of the text are: A thorough presentation of the problem of portfolio optimization, leading in a natural way to the Capital Market Theory Dynamic programming and the optimal portfolio selection-consumption problem through time An intuitive approach to Brownian motion and stochastic integral models for continuous time problems The Black-Scholes equation for simple European option values, derived in several different ways A chapter on several types of exotic options Material on the management of risk in several contexts
Book Synopsis Introduction to the Mathematics of Finance by : R. J. Williams
Download or read book Introduction to the Mathematics of Finance written by R. J. Williams and published by American Mathematical Society. This book was released on 2021-09-14 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern subject of mathematical finance has undergone considerable development, both in theory and practice, since the seminal work of Black and Scholes appeared a third of a century ago. This book is intended as an introduction to some elements of the theory that will enable students and researchers to go on to read more advanced texts and research papers. The book begins with the development of the basic ideas of hedging and pricing of European and American derivatives in the discrete (i.e., discrete time and discrete state) setting of binomial tree models. Then a general discrete finite market model is introduced, and the fundamental theorems of asset pricing are proved in this setting. Tools from probability such as conditional expectation, filtration, (super)martingale, equivalent martingale measure, and martingale representation are all used first in this simple discrete framework. This provides a bridge to the continuous (time and state) setting, which requires the additional concepts of Brownian motion and stochastic calculus. The simplest model in the continuous setting is the famous Black-Scholes model, for which pricing and hedging of European and American derivatives are developed. The book concludes with a description of the fundamental theorems for a continuous market model that generalizes the simple Black-Scholes model in several directions.
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 317 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.
Book Synopsis Mathematics of Financial Markets by : Robert J. Elliott
Download or read book Mathematics of Financial Markets written by Robert J. Elliott and published by Springer Science & Business Media. This book was released on 2005 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematics that underpins pricing models for derivative securities in modern financial markets, such as options, futures and swaps. This new edition adds substantial material from current areas of active research, such as coherent risk measures with applications to hedging, the arbitrage interval for incomplete discrete-time markets, and risk and return and sensitivity analysis for the Black-Scholes model.
Book Synopsis Mathematics of Finance with Canadian Applications Update by : Siegfried August Hummelbrunner
Download or read book Mathematics of Finance with Canadian Applications Update written by Siegfried August Hummelbrunner and published by . This book was released on 2008-09-01 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Financial Calculus by : Martin Baxter
Download or read book Financial Calculus written by Martin Baxter and published by Cambridge University Press. This book was released on 1996-09-19 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rewards and dangers of speculating in the modern financial markets have come to the fore in recent times with the collapse of banks and bankruptcies of public corporations as a direct result of ill-judged investment. At the same time, individuals are paid huge sums to use their mathematical skills to make well-judged investment decisions. Here now is the first rigorous and accessible account of the mathematics behind the pricing, construction and hedging of derivative securities. Key concepts such as martingales, change of measure, and the Heath-Jarrow-Morton model are described with mathematical precision in a style tailored for market practitioners. Starting from discrete-time hedging on binary trees, continuous-time stock models (including Black-Scholes) are developed. Practicalities are stressed, including examples from stock, currency and interest rate markets, all accompanied by graphical illustrations with realistic data. A full glossary of probabilistic and financial terms is provided. This unique book will be an essential purchase for market practitioners, quantitative analysts, and derivatives traders.
Book Synopsis Mathematics of Finance with Canadian Applications by : S. A. Hummelbrunner
Download or read book Mathematics of Finance with Canadian Applications written by S. A. Hummelbrunner and published by Prentice-Hall Canada. This book was released on 2001 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 345 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.
Book Synopsis Mathematics of Finance by : Henry Lewis Rietz
Download or read book Mathematics of Finance written by Henry Lewis Rietz and published by . This book was released on 1921 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Mathematical Methods for Finance by : Julia Di Nunno
Download or read book Advanced Mathematical Methods for Finance written by Julia Di Nunno and published by Springer Science & Business Media. This book was released on 2011-03-29 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed. The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products. This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.
Author :Hummelbrunner, S. A. (Siegfried August) Publisher :Scarborough, Ont. : Prentice-Hall Canada ISBN 13 :9780139008467 Total Pages :491 pages Book Rating :4.0/5 (84 download)
Book Synopsis Mathematics of Finance with Canadian Applications by : Hummelbrunner, S. A. (Siegfried August)
Download or read book Mathematics of Finance with Canadian Applications written by Hummelbrunner, S. A. (Siegfried August) and published by Scarborough, Ont. : Prentice-Hall Canada. This book was released on 1998-01-01 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:
