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Risk Neutral Pricing And Financial Mathematics

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Risk Neutral Pricing and Financial Mathematics

Risk Neutral Pricing and Financial Mathematics Book
Author : Peter M. Knopf,John L. Teall
Publisher : Elsevier
Release : 2015-07-29
ISBN : 0128017279
Language : En, Es, Fr & De

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Book Description :

Risk Neutral Pricing and Financial Mathematics: A Primer provides a foundation to financial mathematics for those whose undergraduate quantitative preparation does not extend beyond calculus, statistics, and linear math. It covers a broad range of foundation topics related to financial modeling, including probability, discrete and continuous time and space valuation, stochastic processes, equivalent martingales, option pricing, and term structure models, along with related valuation and hedging techniques. The joint effort of two authors with a combined 70 years of academic and practitioner experience, Risk Neutral Pricing and Financial Mathematics takes a reader from learning the basics of beginning probability, with a refresher on differential calculus, all the way to Doob-Meyer, Ito, Girsanov, and SDEs. It can also serve as a useful resource for actuaries preparing for Exams FM and MFE (Society of Actuaries) and Exams 2 and 3F (Casualty Actuarial Society). Includes more subjects than other books, including probability, discrete and continuous time and space valuation, stochastic processes, equivalent martingales, option pricing, term structure models, valuation, and hedging techniques Emphasizes introductory financial engineering, financial modeling, and financial mathematics Suited for corporate training programs and professional association certification programs

Risk Neutral Valuation

Risk Neutral Valuation Book
Author : Nicholas H. Bingham,Rudiger Kiesel
Publisher : Springer Science & Business Media
Release : 2013-06-29
ISBN : 1447136195
Language : En, Es, Fr & De

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Book Description :

With a simple approach accessible to a wide audience, this book aims for the heart of mathematical finance: the fundamental formula of arbitrage pricing theory. This method of pricing discounts everything and takes expected values under the equivalent martingale measure. The authors approach is simple and excludes unnecessary proofs of measure-theoretic probability, instead, it favors techniques and examples of proven interest to financial practitioners.

Financial Mathematics

Financial Mathematics Book
Author : Giuseppe Campolieti,Roman N. Makarov
Publisher : CRC Press
Release : 2014-03-12
ISBN : 1439892423
Language : En, Es, Fr & De

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Book Description :

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.

Financial Mathematics Derivatives and Structured Products

Financial Mathematics  Derivatives and Structured Products Book
Author : Raymond H. Chan,Yves ZY. Guo,Spike T. Lee,Xun Li
Publisher : Springer
Release : 2019-02-27
ISBN : 9811336962
Language : En, Es, Fr & De

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Book Description :

This book introduces readers to the financial markets, derivatives, structured products and how the products are modelled and implemented by practitioners. In addition, it equips readers with the necessary knowledge of financial markets needed in order to work as product structurers, traders, sales or risk managers. As the book seeks to unify the derivatives modelling and the financial engineering practice in the market, it will be of interest to financial practitioners and academic researchers alike. Further, it takes a different route from the existing financial mathematics books, and will appeal to students and practitioners with or without a scientific background. The book can also be used as a textbook for the following courses: • Financial Mathematics (undergraduate level) • Stochastic Modelling in Finance (postgraduate level) • Financial Markets and Derivatives (undergraduate level) • Structured Products and Solutions (undergraduate/postgraduate level)

Exam Prep for Risk Neutral Pricing and Financial

Exam Prep for  Risk Neutral Pricing and Financial     Book
Author : Anonim
Publisher : Unknown
Release : 2021-05-10
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Exam Prep for Risk Neutral Pricing and Financial book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Mathematical Models of Financial Derivatives

Mathematical Models of Financial Derivatives Book
Author : Yue-Kuen Kwok
Publisher : Springer Science & Business Media
Release : 2008-07-10
ISBN : 9783540686880
Language : En, Es, Fr & De

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Book 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.

Financial Derivatives

Financial Derivatives Book
Author : Jamil Baz,George Chacko
Publisher : Cambridge University Press
Release : 2004-01-12
ISBN : 9780521815109
Language : En, Es, Fr & De

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Book Description :

This book offers a complete, succinct account of the principles of financial derivatives pricing. The first chapter provides readers with an intuitive exposition of basic random calculus. Concepts such as volatility and time, random walks, geometric Brownian motion, and Ito's lemma are discussed heuristically. The second chapter develops generic pricing techniques for assets and derivatives, determining the notion of a stochastic discount factor or pricing kernel, and then uses this concept to price conventional and exotic derivatives. The third chapter applies the pricing concepts to the special case of interest rate markets, namely, bonds and swaps, and discusses factor models and term structure consistent models. The fourth chapter deals with a variety of mathematical topics that underlie derivatives pricing and portfolio allocation decisions such as mean-reverting processes and jump processes and discusses related tools of stochastic calculus such as Kolmogorov equations, martingale techniques, stochastic control, and partial differential equations.

Introductory Course on Financial Mathematics

Introductory Course on Financial Mathematics Book
Author : M V Tretyakov
Publisher : World Scientific Publishing Company
Release : 2013-07-23
ISBN : 190897740X
Language : En, Es, Fr & De

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Book Description :

This book is an elementary introduction to the basic concepts of financial mathematics with a central focus on discrete models and an aim to demonstrate simple, but widely used, financial derivatives for managing market risks. Only a basic knowledge of probability, real analysis, ordinary differential equations, linear algebra and some common sense are required to understand the concepts considered in this book. Financial mathematics is an application of advanced mathematical and statistical methods to financial management and markets, with a main objective of quantifying and hedging risks. Since the book aims to present the basics of financial mathematics to the reader, only essential elements of probability and stochastic analysis are given to explain ideas concerning derivative pricing and hedging. To keep the reader intrigued and motivated, the book has a ‘sandwich’ structure: probability and stochastics are given in situ where mathematics can be readily illustrated by application to finance. The first part of the book introduces one of the main principles in finance — ‘no arbitrage pricing’. It also introduces main financial instruments such as forward and futures contracts, bonds and swaps, and options. The second part deals with pricing and hedging of European- and American-type options in the discrete-time setting. In addition, the concept of complete and incomplete markets is discussed. Elementary probability is briefly revised and discrete-time discrete-space stochastic processes used in financial modelling are considered. The third part introduces the Wiener process, Ito integrals and stochastic differential equations, but its main focus is the famous Black–Scholes formula for pricing European options. Some guidance for further study within this exciting and rapidly changing field is given in the concluding chapter. There are approximately 100 exercises interspersed throughout the book, and solutions for most problems are provided in the appendices.

A Factor Model Approach to Derivative Pricing

A Factor Model Approach to Derivative Pricing Book
Author : James A. Primbs
Publisher : CRC Press
Release : 2016-12-19
ISBN : 1498763359
Language : En, Es, Fr & De

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Book Description :

Written in a highly accessible style, A Factor Model Approach to Derivative Pricing lays a clear and structured foundation for the pricing of derivative securities based upon simple factor model related absence of arbitrage ideas. This unique and unifying approach provides for a broad treatment of topics and models, including equity, interest-rate, and credit derivatives, as well as hedging and tree-based computational methods, but without reliance on the heavy prerequisites that often accompany such topics. Key features A single fundamental absence of arbitrage relationship based on factor models is used to motivate all the results in the book A structured three-step procedure is used to guide the derivation of absence of arbitrage equations and illuminate core underlying concepts Brownian motion and Poisson process driven models are treated together, allowing for a broad and cohesive presentation of topics The final chapter provides a new approach to risk neutral pricing that introduces the topic as a seamless and natural extension of the factor model approach Whether being used as text for an intermediate level course in derivatives, or by researchers and practitioners who are seeking a better understanding of the fundamental ideas that underlie derivative pricing, readers will appreciate the book’s ability to unify many disparate topics and models under a single conceptual theme. James A Primbs is an Associate Professor of Finance at the Mihaylo College of Business and Economics at California State University, Fullerton.

Stochastic Models of Financial Mathematics

Stochastic Models of Financial Mathematics Book
Author : Vigirdas Mackevicius
Publisher : Elsevier
Release : 2016-11-08
ISBN : 0081020864
Language : En, Es, Fr & De

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Book Description :

This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black-Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox-Ingersoll-Ross, and Heath-Jarrow-Morton interest rate models are also explored. The author presents practitioners with a basic introduction, with more rigorous information provided for mathematicians. The reader is assumed to be familiar with the basics of probability theory. Some basic knowledge of stochastic integration and differential equations theory is preferable, although all preliminary information is given in the first part of the book. Some relatively simple theoretical exercises are also provided. About continuous-time stochastic models of financial mathematics Black-Sholes model and interest rate models Requiring a minimum knowledge of stochastic integration and stochastic differential equations

Monte Carlo Methods in Financial Engineering

Monte Carlo Methods in Financial Engineering Book
Author : Paul Glasserman
Publisher : Springer Science & Business Media
Release : 2013-03-09
ISBN : 0387216170
Language : En, Es, Fr & De

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Book Description :

From the reviews: "Paul Glasserman has written an astonishingly good book that bridges financial engineering and the Monte Carlo method. The book will appeal to graduate students, researchers, and most of all, practicing financial engineers [...] So often, financial engineering texts are very theoretical. This book is not." --Glyn Holton, Contingency Analysis

Stochastic Calculus for Finance I

Stochastic Calculus for Finance I Book
Author : Steven Shreve
Publisher : Springer Science & Business Media
Release : 2005-06-28
ISBN : 9780387249681
Language : En, Es, Fr & De

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Book Description :

Developed for the professional Master's program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several years Exercises conclude every chapter; some of these extend the theory while others are drawn from practical problems in quantitative finance

Introduction to Stochastic Finance

Introduction to Stochastic Finance Book
Author : Jia-An Yan
Publisher : Springer
Release : 2018-10-10
ISBN : 9811316570
Language : En, Es, Fr & De

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Book Description :

This book gives a systematic introduction to the basic theory of financial mathematics, with an emphasis on applications of martingale methods in pricing and hedging of contingent claims, interest rate term structure models, and expected utility maximization problems. The general theory of static risk measures, basic concepts and results on markets of semimartingale model, and a numeraire-free and original probability based framework for financial markets are also included. The basic theory of probability and Ito's theory of stochastic analysis, as preliminary knowledge, are presented.

A Benchmark Approach to Quantitative Finance

A Benchmark Approach to Quantitative Finance Book
Author : Eckhard Platen,David Heath
Publisher : Springer Science & Business Media
Release : 2006-10-28
ISBN : 3540478566
Language : En, Es, Fr & De

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Book Description :

A framework for financial market modeling, the benchmark approach extends beyond standard risk neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. This book presents the necessary mathematical tools, followed by a thorough introduction to financial modeling under the benchmark approach, explaining various quantitative methods for the fair pricing and hedging of derivatives.

Mathematical Finance Theory Review and Exercises

Mathematical Finance  Theory Review and Exercises Book
Author : Emanuela Rosazza Gianin,Carlo Sgarra
Publisher : Springer Science & Business Media
Release : 2014-02-10
ISBN : 3319013572
Language : En, Es, Fr & De

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Book Description :

The book collects over 120 exercises on different subjects of Mathematical Finance, including Option Pricing, Risk Theory, and Interest Rate Models. Many of the exercises are solved, while others are only proposed. Every chapter contains an introductory section illustrating the main theoretical results necessary to solve the exercises. The book is intended as an exercise textbook to accompany graduate courses in mathematical finance offered at many universities as part of degree programs in Applied and Industrial Mathematics, Mathematical Engineering, and Quantitative Finance.

Financial Products

Financial Products Book
Author : Bill Dalton
Publisher : Cambridge University Press
Release : 2008-10-02
ISBN : 9781139474054
Language : En, Es, Fr & De

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Book Description :

Financial Products provides a step-by-step guide to some of the most important ideas in financial mathematics. It describes and explains interest rates, discounting, arbitrage, risk neutral probabilities, forward contracts, futures, bonds, FRA and swaps. It shows how to construct both elementary and complex (Libor) zero curves. Options are described, illustrated and then priced using the Black Scholes formula and binomial trees. Finally, there is a chapter describing default probabilities, credit ratings and credit derivatives (CDS, TRS, CSO and CDO). An important feature of the book is that it explains this range of concepts and techniques in a way that can be understood by those with only a basic understanding of algebra. Many of the calculations are illustrated using Excel spreadsheets, as are some of the more complex algebraic processes. This accessible approach makes it an ideal introduction to financial products for undergraduates and those studying for professional financial qualifications.

Introduction to the Mathematics of Finance

Introduction to the Mathematics of Finance Book
Author : Ruth J. Williams
Publisher : American Mathematical Soc.
Release : 2006
ISBN : 0821839039
Language : En, Es, Fr & De

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Book 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. 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.

Advanced Derivatives Pricing and Risk Management

Advanced Derivatives Pricing and Risk Management Book
Author : Claudio Albanese,Giuseppe Campolieti
Publisher : Academic Press
Release : 2006
ISBN : 0120476827
Language : En, Es, Fr & De

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Book Description :

Book and CDROM include the important topics and cutting-edge research in financial derivatives and risk management.

Option Valuation

Option Valuation Book
Author : Hugo D. Junghenn
Publisher : CRC Press
Release : 2011-11-23
ISBN : 1439889120
Language : En, Es, Fr & De

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Book Description :

Option Valuation: A First Course in Financial Mathematics provides a straightforward introduction to the mathematics and models used in the valuation of financial derivatives. It examines the principles of option pricing in detail via standard binomial and stochastic calculus models. Developing the requisite mathematical background as needed, the text presents an introduction to probability theory and stochastic calculus suitable for undergraduate students in mathematics, economics, and finance. The first nine chapters of the book describe option valuation techniques in discrete time, focusing on the binomial model. The author shows how the binomial model offers a practical method for pricing options using relatively elementary mathematical tools. The binomial model also enables a clear, concrete exposition of fundamental principles of finance, such as arbitrage and hedging, without the distraction of complex mathematical constructs. The remaining chapters illustrate the theory in continuous time, with an emphasis on the more mathematically sophisticated Black-Scholes-Merton model. Largely self-contained, this classroom-tested text offers a sound introduction to applied probability through a mathematical finance perspective. Numerous examples and exercises help students gain expertise with financial calculus methods and increase their general mathematical sophistication. The exercises range from routine applications to spreadsheet projects to the pricing of a variety of complex financial instruments. Hints and solutions to odd-numbered problems are given in an appendix and a full solutions manual is available for qualifying instructors.

Pricing Derivative Securities

Pricing Derivative Securities Book
Author : T. W. Epps
Publisher : World Scientific
Release : 2007
ISBN : 9812700331
Language : En, Es, Fr & De

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Book Description :

This book presents techniques for valuing derivative securities at a level suitable for practitioners, students in doctoral programs in economics and finance, and those in masters-level programs in financial mathematics and computational finance. It provides the necessary mathematical tools from analysis, probability theory, the theory of stochastic processes, and stochastic calculus, making extensive use of examples. It also covers pricing theory, with emphasis on martingale methods. The chapters are organized around the assumptions made about the dynamics of underlying price processes. Readers begin with simple, discrete-time models that require little mathematical sophistication, proceed to the basic Black-Scholes theory, and then advance to continuous-time models with multiple risk sources. The second edition takes account of the major developments in the field since 2000. New topics include the use of simulation to price American-style derivatives, a new one-step approach to pricing options by inverting characteristic functions, and models that allow jumps in volatility and Markov-driven changes in regime. The new chapter on interest-rate derivatives includes extensive coverage of the LIBOR market model and an introduction to the modeling of credit risk. As a supplement to the text, the book contains an accompanying CD-ROM with user-friendly FORTRAN, C++, and VBA program components.