Methods Of Mathematical Finance

Author by : Ioannis Karatzas
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 95
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Description : 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.


An Undergraduate Introduction To Financial Mathematics

Author by : J. Robert Buchanan
Languange : en
Publisher by : World Scientific Publishing Company Incorporated
Format Available : PDF, ePub, Mobi
Total Read : 69
Total Download : 552
File Size : 50,7 Mb
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Description : 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. This third edition expands on the second by including a new chapter on the extensions of the Black-Scholes model of option pricing and a greater number of exercises at the end of each chapter. More background material and exercises added, with solutions provided to the other chapters, allowing the textbook to better stand alone as an introduction to financial mathematics. The reader progresses from a solid grounding in multivariable calculus through a derivation of the Black-Scholes equation, its solution, properties, and applications. The text attempts to be as self-contained as possible without relying on advanced mathematical and statistical topics. The material presented in this book will adequately prepare the reader for graduate-level study in mathematical finance.


Mathematics Of Finance

Author by : Donald G. Saari
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 49
Total Download : 722
File Size : 41,8 Mb
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Description : 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 Methods For Finance

Author by : Sergio M. Focardi
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 52
Total Download : 857
File Size : 41,9 Mb
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Description : The mathematical and statistical tools needed in the rapidlygrowing quantitative finance field With the rapid growth in quantitative finance, practitionersmust achieve a high level of proficiency in math and statistics.Mathematical Methods and Statistical Tools for Finance, partof the Frank J. Fabozzi Series, has been created with this in mind.Designed to provide the tools needed to apply finance theory toreal world financial markets, this book offers a wealth of insightsand guidance in practical applications. It contains applications that are broader in scope from what iscovered in a typical book on mathematical techniques. Most booksfocus almost exclusively on derivatives pricing, the applicationsin this book cover not only derivatives and asset pricing but alsorisk management—including credit risk management—andportfolio management. Includes an overview of the essential math and statisticalskills required to succeed in quantitative finance Offers the basic mathematical concepts that apply to the fieldof quantitative finance, from sets and distances to functions andvariables The book also includes information on calculus, matrix algebra,differential equations, stochastic integrals, and much more Written by Sergio Focardi, one of the world's leading authorsin high-level finance Drawing on the author's perspectives as a practitioner andacademic, each chapter of this book offers a solid foundation inthe mathematical tools and techniques need to succeed in today'sdynamic world of finance.


Problems And Solutions In Mathematical Finance

Author by : Eric Chin
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 31
Total Download : 841
File Size : 42,7 Mb
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Description : Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry. This volume focuses solely on equity derivatives problems, beginning with basic problems in derivatives securities before moving on to more advanced applications, including the construction of volatility surfaces to price exotic options. By providing a methodology for solving theoretical and practical problems, whilst explaining the limitations of financial models, this book helps readers to develop the skills they need to advance their careers. The text covers a wide range of derivatives pricing, such as European, American, Asian, Barrier and other exotic options. Extensive appendices provide a summary of important formulae from calculus, theory of probability, and differential equations, for the convenience of readers. As Volume II of the four-volume Problems and Solutions in Mathematical Finance series, this book provides clear explanation of the mathematics behind equity derivatives, in order to help readers gain a deeper understanding of their mechanics and a firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exotics pricing Examine numerical methods and detailed derivations of closed-form solutions Utilise formulae for probability, differential equations, and more Mathematical finance relies on mathematical models, numerical methods, computational algorithms and simulations to make trading, hedging, and investment decisions. For the practitioners and graduate students of quantitative finance, Problems and Solutions in Mathematical Finance Volume II provides essential guidance principally towards the subject of equity derivatives.


An Introduction To Mathematical Finance With Applications

Author by : Arlie O. Petters
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 74
Total Download : 149
File Size : 40,5 Mb
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Description : 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.


Financial Numeracy In Mathematics Education

Author by : Annie Savard
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 40
Total Download : 991
File Size : 42,6 Mb
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Description : This book presents the important role of mathematics in the teaching of financial education. Through a conceptualization of financial numeracy as a social practice, it focuses on the teaching practices, resources, and needs of secondary mathematics teachers (grades 7-12) to incorporate financial concepts in their classes. The editors and authors bring forth a novel perspective regarding mathematics education in the digital era. By focusing on financial numeracy, a key component of skills required in the digital era, they discuss important issues related to the teaching and learning of mathematics and finance. In contrary to most research in the field of financial education coming from scholars in areas such as business, accounting, management and economics, this book introduces the contribution of researchers from the field of education to the debate. The book appeals to an international audience composed of researchers, stakeholders, policymakers, teachers, and teacher educators.


Introduction To The Economics And Mathematics Of Financial Markets

Author by : Jaksa Cvitanic
Languange : en
Publisher by : MIT Press
Format Available : PDF, ePub, Mobi
Total Read : 54
Total Download : 805
File Size : 51,5 Mb
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Description : An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.


The Mathematics Of Financial Modeling And Investment Management

Author by : Sergio M. Focardi
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 28
Total Download : 806
File Size : 50,6 Mb
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Description : the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques.


Mathematical Finance And Probability

Author by : Pablo Koch Medina
Languange : en
Publisher by : Birkhäuser
Format Available : PDF, ePub, Mobi
Total Read : 11
Total Download : 907
File Size : 42,7 Mb
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Description : 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.


Measure Probability And Mathematical Finance

Author by : Guojun Gan
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 12
Total Download : 253
File Size : 43,7 Mb
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Description : 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.


From Stochastic Calculus To Mathematical Finance

Author by : Yu. Kabanov
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 40
Total Download : 796
File Size : 54,7 Mb
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Description : Dedicated to the Russian mathematician Albert Shiryaev on his 70th birthday, this is a collection of papers written by his former students, co-authors and colleagues. The book represents the modern state of art of a quickly maturing theory and will be an essential source and reading for researchers in this area. Diversity of topics and comprehensive style of the papers make the book attractive for PhD students and young researchers.


Introduction To The Mathematics Of Finance

Author by : Ruth J. Williams
Languange : en
Publisher by : American Mathematical Soc.
Format Available : PDF, ePub, Mobi
Total Read : 45
Total Download : 723
File Size : 47,5 Mb
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Description : 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. 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.


Mathematical Finance

Author by : Ernst Eberlein
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 43
Total Download : 217
File Size : 52,6 Mb
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Description : 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.


Mathematical Techniques In Finance

Author by : Aleī Cerný
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 12
Total Download : 816
File Size : 41,7 Mb
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Description : Modern finance overlaps with many fields of mathematics, and for students this can represent considerable strain. Mathematical Techniques in Finance is an ideal textbook for Masters finance courses with a significant quantitative element while also being suitable for finance Ph.D. students. Developed for the highly acclaimed Master of Science in Finance program at Imperial College London, it offers a carefully crafted blend of numerical applications and theoretical grounding in economics, finance, and mathematics. In the best engineering tradition, Ales ?erný mixes tools from calculus, linear algebra, probability theory, numerical mathematics, and programming to analyze in an accessible way some of the most intriguing problems in financial economics. Eighty figures, over 70 worked examples, 25 simple ready-to-run computer programs, and several spreadsheets further enhance the learning experience. Each chapter is followed by a number of classroom-tested exercises with solutions available on the book's web site. Applied mathematics is a craft that requires practice--this textbook provides plenty of opportunities to practice it and teaches cutting-edge finance into the bargain. Asset pricing is a common theme throughout the book; and readers can follow the development from discrete one-period models to continuous time stochastic processes. This textbook sets itself apart by the comprehensive treatment of pricing and risk measurement in incomplete markets, an area of current research that represents the future in risk management and investment performance evaluation.


Introduction To Mathematical Finance

Author by : Stanley R. Pliska
Languange : en
Publisher by : Wiley
Format Available : PDF, ePub, Mobi
Total Read : 59
Total Download : 680
File Size : 40,6 Mb
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Description : The purpose of this book is to provide a rigorous yet accessible introduction to the modern financial theory of security markets. The main subjects are derivatives and portfolio management. The book is intended to be used as a text by advanced undergraduates and beginning graduate students. It is also likely to be useful to practicing financial engineers, portfolio manager, and actuaries who wish to acquire a fundamental understanding of financial theory. The book makes heavy use of mathematics, but not at an advanced level. Various mathematical concepts are developed as needed, and computational examples are emphasized.


Financial Math

Author by : Steck-Vaughn
Languange : en
Publisher by : Steck-Vaughn Company
Format Available : PDF, ePub, Mobi
Total Read : 17
Total Download : 239
File Size : 49,7 Mb
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Description : Topics include estimating, calculating change, understanding wages and earnings, comparing prices, and buying insurance.


Introduction To Stochastic Calculus Applied To Finance Second Edition

Author by : Damien Lamberton
Languange : en
Publisher by : CRC Press
Format Available : PDF, ePub, Mobi
Total Read : 19
Total Download : 712
File Size : 44,8 Mb
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Description : Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, Introduction to Stochastic Calculus Applied to Finance, Second Edition incorporates some of these new techniques and concepts to provide an accessible, up-to-date initiation to the field. New to the Second Edition Complements on discrete models, including Rogers' approach to the fundamental theorem of asset pricing and super-replication in incomplete markets Discussions on local volatility, Dupire's formula, the change of numéraire techniques, forward measures, and the forward Libor model A new chapter on credit risk modeling An extension of the chapter on simulation with numerical experiments that illustrate variance reduction techniques and hedging strategies Additional exercises and problems Providing all of the necessary stochastic calculus theory, the authors cover many key finance topics, including martingales, arbitrage, option pricing, American and European options, the Black-Scholes model, optimal hedging, and the computer simulation of financial models. They succeed in producing a solid introduction to stochastic approaches used in the financial world.


Introduction To The Mathematics Of Finance

Author by : Steven Roman
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 28
Total Download : 454
File Size : 54,9 Mb
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Description : The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model. This second edition is a complete rewrite of the first edition with significant changes to the topic organization, thus making the book flow much more smoothly. Several topics have been expanded such as the discussions of options, including the history of options, and pricing nonattainable alternatives. In this edition the material on probability has been condensed into fewer chapters, and the material on the capital asset pricing model has been removed. The mathematics is not watered down, but it is appropriate for the intended audience. Previous knowledge of measure theory is not needed and only a small amount of linear algebra is required. All necessary probability theory is developed throughout the book on a "need-to-know" basis. No background in finance is required, since the book contains a chapter on options.


Financial Statistics And Mathematical Finance

Author by : Ansgar Steland
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 75
Total Download : 833
File Size : 42,7 Mb
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Description : Mathematical finance has grown into a huge area of research which requires a lot of care and a large number of sophisticated mathematical tools. Mathematically rigorous and yet accessible to advanced level practitioners and mathematicians alike, it considers various aspects of the application of statistical methods in finance and illustrates some of the many ways that statistical tools are used in financial applications. Financial Statistics and Mathematical Finance: Provides an introduction to the basics of financial statistics and mathematical finance. Explains the use and importance of statistical methods in econometrics and financial engineering. Illustrates the importance of derivatives and calculus to aid understanding in methods and results. Looks at advanced topics such as martingale theory, stochastic processes and stochastic integration. Features examples throughout to illustrate applications in mathematical and statistical finance. Is supported by an accompanying website featuring R code and data sets. Financial Statistics and Mathematical Finance introduces the financial methodology and the relevant mathematical tools in a style that is both mathematically rigorous and yet accessible to advanced level practitioners and mathematicians alike, both graduate students and researchers in statistics, finance, econometrics and business administration will benefit from this book.


Paris Princeton Lectures On Mathematical Finance 2004

Author by : René Carmona
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 91
Total Download : 630
File Size : 51,7 Mb
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Description : This is the third volume in the Paris-Princeton Lectures in Financial Mathematics, which publishes, on an annual basis, cutting-edge research in self-contained, expository articles from outstanding specialists, both established and upcoming. Coverage includes articles by René Carmona, Ivar Ekeland/Erik Taflin, Arturo Kohatsu-Higa, Pierre-Louis Lions/Jean-Michel Lasry, and Huyên Pham.


Quantitative Finance

Author by : Orhan Petric
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 87
Total Download : 387
File Size : 51,9 Mb
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Description : "Quantitative finance, also known as mathematical finance, is a field of applied mathematics, concerned with financial markets. Generally, mathematical finance will derive and extend the mathematical or numerical models without necessarily establishing a link to financial theory, taking observed market prices as input. Mathematical consistency is required, not compatibility with economic theory. In particular mathematical finance has been ranked, without a doubt, as the first among many and quants, as mathematicians are known in the industry, have been blamed for developing and using esoteric models which are believed to have caused the deepening of the financial crisis. As in many fields of science, mathematics plays a relevant role in finance. The basis of financial theory is an analysis of actions of economic agents on an effective use of resources under uncertainty, and as a complex procedure, it makes necessary the use of advanced methods of mathematical modeling, the application of which has a direct and considerable impact on the financial world. This Book Quantitative Finance presents perspective on how the development of finance theory has influenced and in turn been influenced by the development of mathematical finance theory. It evaluates the importance of using mathematical modeling tools in finance and discussion of its positive and negative influence on financial markets. The use of such methods in finance might take different directions regarding various aspects of financial market types, each of which might involve sophisticated analytical and numerical techniques. Therefore, with enormous fluctuations occurring frequently in the financial markets the demand for better forecasting and decision-making methods is increasing. Since organizations responsible for producing economic and financial forecasts have a huge amount of information to process and a growing variety of techniques. So, financial practitioners must not only heavily rely on them, but on their intuition and judgment. Only the proper use of mathematical models in finance with consideration of all accurate financial data, trends of financial markets, and useful variables of a system might bring a good understanding of dynamic markets and assist practitioners to make financial projections and decisions adequately."


Mathematical Models Of Financial Derivatives

Author by : Yue-Kuen Kwok
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 13
Total Download : 634
File Size : 44,7 Mb
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Description : This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.


Essentials Of Stochastic Finance

Author by : Albert N. Shiryaev
Languange : en
Publisher by : World Scientific
Format Available : PDF, ePub, Mobi
Total Read : 13
Total Download : 993
File Size : 46,5 Mb
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Description : Readership: Undergraduates and researchers in probability and statistics; applied, pure and financial mathematics; economics; chaos.


Mathematics Of Interest Rates And Finance Pearson New International Edition

Author by : Gary C. Guthrie
Languange : en
Publisher by : Pearson Higher Ed
Format Available : PDF, ePub, Mobi
Total Read : 52
Total Download : 593
File Size : 51,8 Mb
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Description : For courses in Actuarial Mathematics, Introduction to Insurance, and Personal/Business Finance. This text presents the basic core of information needed to understand the impact of interest rates on the world of investments, real estate, corporate planning, insurance, and securities transactions. The authors presuppose a working knowledge of basic algebra, arithmetic, and percents for the core of the book: their goal is for students to understand well those few underlying principles that play out in nearly every finance and interest problem. There are several sections that utilize calculus and one chapter that requires statistics. Using time line diagrams as important tools in analyzing money and interest exercises, the text contains a great deal of practical financial applications of interest theory as well as its foundational definitions and theorems. It relies on the use of calculator and computer technology instead of tables; this approach frees students to understand challenging topics without wilting under labor-intensive details.


Mastering Financial Mathematics In Microsoft Excel

Author by : Alastair Day
Languange : en
Publisher by : Pearson UK
Format Available : PDF, ePub, Mobi
Total Read : 90
Total Download : 319
File Size : 42,8 Mb
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Description : Fully updated and compliant with Excel 2013, this clearly explains the basic calculations for mathematical finance, backed up with simple templates for further use and development, and a workbook with exercises and solutions at the end of each chapter. The examples used are relevant to both managers and students in the UK and overseas. New to this edition Updated glossary of key terms Functions list in English and Euro languages Continuity check on all formats, layouts and charts More worked examples Additional exercises at the end of each chapter to help build models Templates and models available online.


Mathematical Finance

Author by : Anonim
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 41
Total Download : 742
File Size : 47,7 Mb
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Description :


Financial Calculus

Author by : Martin Baxter
Languange : en
Publisher by : Cambridge University Press
Format Available : PDF, ePub, Mobi
Total Read : 59
Total Download : 184
File Size : 50,7 Mb
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Description : A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities.


Paris Princeton Lectures On Mathematical Finance 2002

Author by : Peter Bank
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 93
Total Download : 336
File Size : 53,7 Mb
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Description : The Paris-Princeton Lectures in Financial Mathematics, of which this is the first volume, will, on an annual basis, publish cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. It arises as a result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with articles by P. Bank/H. Föllmer, F. Baudoin, L.C.G. Rogers, and M. Soner/N. Touzi.


Paris Princeton Lectures On Mathematical Finance 2010

Author by : Areski Cousin
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 45
Total Download : 642
File Size : 54,9 Mb
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Description : The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with five articles by: 1. Areski Cousin, Monique Jeanblanc and Jean-Paul Laurent, 2. Stéphane Crépey, 3. Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, 4. David Hobson and 5. Peter Tankov.