Applied Quantitative Finance for Equity Derivatives

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Publisher :
ISBN 13 : 9781977557872
Total Pages : 390 pages
Book Rating : 4.5/5 (578 download)

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Book Synopsis Applied Quantitative Finance for Equity Derivatives by : Jherek Healy

Download or read book Applied Quantitative Finance for Equity Derivatives written by Jherek Healy and published by . This book was released on 2017-09-21 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most significant equity derivatives models used these days. It is not a book around esoteric or cutting-edge models, but rather a book on relatively simple and standard models, viewed from the angle of a practitioner. Most books present models in an abstract manner, often disconnected from how to apply them in the real world. This book intends to fill that gap, with the ambitious goal of transforming a reader unfamiliar with equity derivatives models into a specialist of such models. What's special about it? The subject of cash dividends is absent of most books, and yet a real practical problem that every equity derivatives desk faces. This books gives a thorough treatment of the subject, be it for European, American, or more exotic options under the local volatility model. Similarly, Dupire local volatility issues are usually ignored while everybody face them. It presents various refinement for numerical techniques, for example, how to properly handle barriers in the TR-BDF2 finite difference method (and others) for a maximum accuracy, how to actually perform the parametric or non-parametric regression for American options in Monte-Carlo, how to do randomized Monte-Carlo simulations, which random number generators are pertinent these days, how to apply quasi Monte-Carlo to the particle stochastic-local-volatility calibration method,which quadrature should use consider for variance swap, volatility swap or vanilla options under stochastic volatility models with known characteristic function... It covers VIX options and dividend derivatives. The backward/forward representation of exotics is well known in the industry and yet rarely presented. It does not cover esoteric payoffs that might have a nice analytical formula but are never traded in practice, or models too complex to be practical.

Applied Quantitative Finance for Equity Derivatives - Third Edition

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Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.7/5 (14 download)

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Book Synopsis Applied Quantitative Finance for Equity Derivatives - Third Edition by : Jherek Healy

Download or read book Applied Quantitative Finance for Equity Derivatives - Third Edition written by Jherek Healy and published by . This book was released on 2021-01-28 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its third edition, this book presents the most significant equitya derivatives models used these days. It is not a book around esoteric or cutting-edge models, but rather a book on relatively simple and standard models, viewed from the angle of a practitioner. A few key subjects explained in this book are: cash dividends for European, American, or exotic options; issues of the Dupire local volatility model and possible fixes; finite difference techniques for American options and exotics; Non-parametric regression for American options in Monte-Carlo, randomized simulations; the particle method for stochastic-local-volatility model with quasi-random numbers; numerical methods for the variance and volatility swaps; quadratures for options under stochastic volatility models; VIX options and dividend derivatives; backward/forward representation of exotics.The January 2021 third edition adds significant details around the physical exercise feature, how to imply the Black-Scholes volatility, the projected successive over-relaxation as well as the recent policy iteration method for the pricing of American options (particularly relevant in the case of negative interest rates), the Andersen-Lake algorithm as fast pricing routine for the case of vanilla American options under the Black-Scholes model, random number generation, antithetic variates, the vectorization of the Monte-Carlo simulation, RBF interpolation of implied volatilities, the Cos method for European option under stochastic volatility models, the Vega in stochastic volatility models. The new text also includes important corrections around the pricing of forward starting and knock-in options with finite difference methods.

Applied Quantitative Finance for Equity Derivatives, Second Edition

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Author :
Publisher : Lulu.com
ISBN 13 : 9780244741587
Total Pages : 516 pages
Book Rating : 4.7/5 (415 download)

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Book Synopsis Applied Quantitative Finance for Equity Derivatives, Second Edition by : Jherek Healy

Download or read book Applied Quantitative Finance for Equity Derivatives, Second Edition written by Jherek Healy and published by Lulu.com. This book was released on 2019-01-22 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and corrected in December 2018, this book presents the most significant equity derivatives models used these days. It is not a book around esoteric or cutting-edge models, but rather a book on relatively simple and standard models, viewed from the angle of a practitioner. A few key subjects explained in this book are: cash dividends for European, American, or exotic options; issues of the Dupire local volatility model and possible fixes; finite difference techniques for American options and exotics; Non-parametric regression for American options in Monte-Carlo, randomized simulations; the particle method for stochastic-local-volatility model with quasi-random numbers; numerical methods for the variance and volatility swaps; quadratures for options under stochastic volatility models; VIX options and dividend derivatives; backward/forward representation of exotics. This second edition adds new arbitrage-free implied volatility interpolations, and covers various warrants, such as CBBCs.

Equity Derivatives and Hybrids

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Publisher : Springer
ISBN 13 : 1137349492
Total Pages : 304 pages
Book Rating : 4.1/5 (373 download)

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Book Synopsis Equity Derivatives and Hybrids by : Oliver Brockhaus

Download or read book Equity Derivatives and Hybrids written by Oliver Brockhaus and published by Springer. This book was released on 2016-04-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the development of the Black-Scholes model, research on equity derivatives has evolved rapidly to the point where it is now difficult to cut through the myriad of literature to find relevant material. Written by a quant with many years of experience in the field this book provides an up-to-date account of equity and equity-hybrid (equity-rates, equity-credit, equity-foreign exchange) derivatives modeling from a practitioner's perspective. The content reflects the requirements of practitioners in financial institutions: Quants will find a survey of state-of-the-art models and guidance on how to efficiently implement them with regards to market data representation, calibration, and sensitivity computation. Traders and structurers will learn about structured products, selection of the most appropriate models, as well as efficient hedging methods while risk managers will better understand market, credit, and model risk and find valuable information on advanced correlation concepts. Equity Derivatives and Hybrids provides exhaustive coverage of both market standard and new approaches, including: -Empirical properties of stock returns including autocorrelation and jumps -Dividend discount models -Non-Markovian and discrete-time volatility processes -Correlation skew modeling via copula as well as local and stochastic correlation factors -Hybrid modeling covering local and stochastic processes for interest rate, hazard rate, and volatility as well as closed form solutions -Credit, debt, and funding valuation adjustment (CVA, DVA, FVA) -Monte Carlo techniques for sensitivities including algorithmic differentiation, path recycling, as well as multilevel. Written in a highly accessible manner with examples, applications, research, and ideas throughout, this book provides a valuable resource for quantitative-minded practitioners and researchers.

Quantitative Finance

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Publisher : Springer
ISBN 13 : 1137414502
Total Pages : 247 pages
Book Rating : 4.1/5 (374 download)

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Book Synopsis Quantitative Finance by : A. Reghai

Download or read book Quantitative Finance written by A. Reghai and published by Springer. This book was released on 2014-11-25 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series of recent financial crises have thrown open the world of quantitative finance and financial modeling. This book brings together proven and new methodologies from finance, physics and engineering, along with years of industry and academic experience to provide a cookbook of models for dealing with the challenges of today's markets.

Applied Quantitative Finance

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Publisher : Springer
ISBN 13 : 3662544865
Total Pages : 369 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Applied Quantitative Finance by : Wolfgang Karl Härdle

Download or read book Applied Quantitative Finance written by Wolfgang Karl Härdle and published by Springer. This book was released on 2017-08-02 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides practical solutions and introduces recent theoretical developments in risk management, pricing of credit derivatives, quantification of volatility and copula modeling. This third edition is devoted to modern risk analysis based on quantitative methods and textual analytics to meet the current challenges in banking and finance. It includes 14 new contributions and presents a comprehensive, state-of-the-art treatment of cutting-edge methods and topics, such as collateralized debt obligations, the high-frequency analysis of market liquidity, and realized volatility. The book is divided into three parts: Part 1 revisits important market risk issues, while Part 2 introduces novel concepts in credit risk and its management along with updated quantitative methods. The third part discusses the dynamics of risk management and includes risk analysis of energy markets and for cryptocurrencies. Digital assets, such as blockchain-based currencies, have become popular b ut are theoretically challenging when based on conventional methods. Among others, it introduces a modern text-mining method called dynamic topic modeling in detail and applies it to the message board of Bitcoins. The unique synthesis of theory and practice supported by computational tools is reflected not only in the selection of topics, but also in the fine balance of scientific contributions on practical implementation and theoretical concepts. This link between theory and practice offers theoreticians insights into considerations of applicability and, vice versa, provides practitioners convenient access to new techniques in quantitative finance. Hence the book will appeal both to researchers, including master and PhD students, and practitioners, such as financial engineers. The results presented in the book are fully reproducible and all quantlets needed for calculations are provided on an accompanying website. The Quantlet platform quantlet.de, quantlet.com, quantlet.org is an integrated QuantNet environment consisting of different types of statistics-related documents and program codes. Its goal is to promote reproducibility and offer a platform for sharing validated knowledge native to the social web. QuantNet and the corresponding Data-Driven Documents-based visualization allows readers to reproduce the tables, pictures and calculations inside this Springer book.

The Handbook of Equity Derivatives

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 9780471326038
Total Pages : 742 pages
Book Rating : 4.3/5 (26 download)

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Book Synopsis The Handbook of Equity Derivatives by : Jack Clark Francis

Download or read book The Handbook of Equity Derivatives written by Jack Clark Francis and published by John Wiley & Sons. This book was released on 1999-11-08 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aktienderivate gehören zu den populärsten Derivatprodukten, die von institutionellen Anlegern gehandelt werden. Ein Aktienderivat ist ein Future oder eine Option auf Aktien oder Aktienindices. Zu den traditionellen Aktienderivaten gehören Optionsscheine, Optionen, Futures und Aktienindexfutures. Das "Handbook of Equity" ist eine vollständige und umfassende Überarbeitung des ersten und einzigen Buches zu diesem Thema. Herausgegeben von führenden Köpfen der Branche - darunter Nobelpreisträger Fischer Black, John Braddock und Mark Rubenstein - enthält es wichtige neue Informationen zu Aktienindexfutures und -optionen und erweitert die mathematische Diskussion um das Black & Scholes-Modell. (11/99)

Problems and Solutions in Mathematical Finance, Volume 2

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Publisher : John Wiley & Sons
ISBN 13 : 1119965829
Total Pages : 868 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Problems and Solutions in Mathematical Finance, Volume 2 by : Eric Chin

Download or read book Problems and Solutions in Mathematical Finance, Volume 2 written by Eric Chin and published by John Wiley & Sons. This book was released on 2017-03-13 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Quantitative Methods for Trading and Investment

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Publisher : John Wiley & Sons
ISBN 13 : 0470871342
Total Pages : 426 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Applied Quantitative Methods for Trading and Investment by : Christian L. Dunis

Download or read book Applied Quantitative Methods for Trading and Investment written by Christian L. Dunis and published by John Wiley & Sons. This book was released on 2004-01-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a manual on quantitative financial analysis. Focusing on advanced methods for modelling financial markets in the context of practical financial applications, it will cover data, software and techniques that will enable the reader to implement and interpret quantitative methodologies, specifically for trading and investment. Includes contributions from an international team of academics and quantitative asset managers from Morgan Stanley, Barclays Global Investors, ABN AMRO and Credit Suisse First Boston. Fills the gap for a book on applied quantitative investment & trading models Provides details of how to combine various models to manage and trade a portfolio

Computational Finance Using C and C#

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Publisher : Academic Press
ISBN 13 : 0080878075
Total Pages : 385 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Computational Finance Using C and C# by : George Levy

Download or read book Computational Finance Using C and C# written by George Levy and published by Academic Press. This book was released on 2008-06-13 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Finance Using C and C# raises computational finance to the next level using the languages of both standard C and C#. The inclusion of both these languages enables readers to match their use of the book to their firm’s internal software and code requirements. The book also provides derivatives pricing information for equity derivates (vanilla options, quantos, generic equity basket options); interest rate derivatives (FRAs, swaps, quantos); foreign exchange derivatives (FX forwards, FX options); and credit derivatives (credit default swaps, defaultable bonds, total return swaps). This book is organized into 8 chapters, beginning with an overview of financial derivatives followed by an introduction to stochastic processes. The discussion then shifts to generation of random variates; European options; single asset American options; multi-asset options; other financial derivatives; and C# portfolio pricing application. The text is supported by a multi-tier website which enables purchasers of the book to download free software, which includes executable files, configuration files, and results files. With these files the user can run the C# portfolio pricing application and change the portfolio composition and the attributes of the deals. This book will be of interest to financial engineers and analysts as well as numerical analysts in banking, insurance, and corporate finance. Illustrates the use of C# design patterns, including dictionaries, abstract classes, and .NET InteropServices

Equity Derivatives

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Publisher : John Wiley & Sons
ISBN 13 : 1118160878
Total Pages : 172 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Equity Derivatives by : Marcus Overhaus

Download or read book Equity Derivatives written by Marcus Overhaus and published by John Wiley & Sons. This book was released on 2011-08-10 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the quantitative research team of Deutsche Bank, the world leader in innovative equity derivative transactions, this book acquaints readers with leading-edge thinking in modeling and hedging these transactions. Equity Derivatives offers a balanced, integrated presentation of theory and practice in equity derivative markets. It provides a theoretical treatment of each new modeling and hedging concept first, and then demonstrates their practical application. The book covers: the newest and fastest-growing class of derivative instruments, fund derivatives; cutting-edge developments in equity derivative modeling; new developments in correlation modeling and understanding volatility skews; and new Web-based implementation/delivery methods. Marcus Overhaus, PhD, Andrew Ferraris, DPhil, Thomas Knudsen, PhD, Frank Mao, PhD, Ross Milward, Laurent Nguyen-Ngoc, PhD, and Gero Schindlmayr, PhD, are members of the Quantitative Research team of Deutsche Bank's Global Equity Division, which is based in London and headed by Dr. Overhaus.

An Introduction to Equity Derivatives

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119969034
Total Pages : 249 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis An Introduction to Equity Derivatives by : Sebastien Bossu

Download or read book An Introduction to Equity Derivatives written by Sebastien Bossu and published by John Wiley & Sons. This book was released on 2012-03-27 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything you need to get a grip on the complex world of derivatives Written by the internationally respected academic/finance professional author team of Sebastien Bossu and Philipe Henrotte, An Introduction to Equity Derivatives is the fully updated and expanded second edition of the popular Finance and Derivatives. It covers all of the fundamentals of quantitative finance clearly and concisely without going into unnecessary technical detail. Designed for both new practitioners and students, it requires no prior background in finance and features twelve chapters of gradually increasing difficulty, beginning with basic principles of interest rate and discounting, and ending with advanced concepts in derivatives, volatility trading, and exotic products. Each chapter includes numerous illustrations and exercises accompanied by the relevant financial theory. Topics covered include present value, arbitrage pricing, portfolio theory, derivates pricing, delta-hedging, the Black-Scholes model, and more. An excellent resource for finance professionals and investors looking to acquire an understanding of financial derivatives theory and practice Completely revised and updated with new chapters, including coverage of cutting-edge concepts in volatility trading and exotic products An accompanying website is available which contains additional resources including powerpoint slides and spreadsheets. Visit www.introeqd.com for details.

An Introduction to Quantitative Finance

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Author :
Publisher : OUP Oxford
ISBN 13 : 0191644684
Total Pages : 192 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis An Introduction to Quantitative Finance by : Stephen Blyth

Download or read book An Introduction to Quantitative Finance written by Stephen Blyth and published by OUP Oxford. This book was released on 2013-11-07 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The worlds of Wall Street and The City have always held a certain allure, but in recent years have left an indelible mark on the wider public consciousness and there has been a need to become more financially literate. The quantitative nature of complex financial transactions makes them a fascinating subject area for mathematicians of all types, whether for general interest or because of the enormous monetary rewards on offer. An Introduction to Quantitative Finance concerns financial derivatives - a derivative being a contract between two entities whose value derives from the price of an underlying financial asset - and the probabilistic tools that were developed to analyse them. The theory in the text is motivated by a desire to provide a suitably rigorous yet accessible foundation to tackle problems the author encountered whilst trading derivatives on Wall Street. The book combines an unusual blend of real-world derivatives trading experience and rigorous academic background. Probability provides the key tools for analysing and valuing derivatives. The price of a derivative is closely linked to the expected value of its pay-out, and suitably scaled derivative prices are martingales, fundamentally important objects in probability theory. The prerequisite for mastering the material is an introductory undergraduate course in probability. The book is otherwise self-contained and in particular requires no additional preparation or exposure to finance. It is suitable for a one-semester course, quickly exposing readers to powerful theory and substantive problems. The book may also appeal to students who have enjoyed probability and have a desire to see how it can be applied. Signposts are given throughout the text to more advanced topics and to different approaches for those looking to take the subject further.

An Introduction to Equity Derivatives

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119961858
Total Pages : 249 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis An Introduction to Equity Derivatives by : Sebastien Bossu

Download or read book An Introduction to Equity Derivatives written by Sebastien Bossu and published by John Wiley & Sons. This book was released on 2012-05-14 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything you need to get a grip on the complex world of derivatives Written by the internationally respected academic/finance professional author team of Sebastien Bossu and Philipe Henrotte, An Introduction to Equity Derivatives is the fully updated and expanded second edition of the popular Finance and Derivatives. It covers all of the fundamentals of quantitative finance clearly and concisely without going into unnecessary technical detail. Designed for both new practitioners and students, it requires no prior background in finance and features twelve chapters of gradually increasing difficulty, beginning with basic principles of interest rate and discounting, and ending with advanced concepts in derivatives, volatility trading, and exotic products. Each chapter includes numerous illustrations and exercises accompanied by the relevant financial theory. Topics covered include present value, arbitrage pricing, portfolio theory, derivates pricing, delta-hedging, the Black-Scholes model, and more. An excellent resource for finance professionals and investors looking to acquire an understanding of financial derivatives theory and practice Completely revised and updated with new chapters, including coverage of cutting-edge concepts in volatility trading and exotic products An accompanying website is available which contains additional resources including powerpoint slides and spreadsheets. Visit www.introeqd.com for details.

Problems and Solutions in Mathematical Finance, Volume 2

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119966108
Total Pages : 860 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Problems and Solutions in Mathematical Finance, Volume 2 by : Eric Chin

Download or read book Problems and Solutions in Mathematical Finance, Volume 2 written by Eric Chin and published by John Wiley & Sons. This book was released on 2017-01-04 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantitative Finance (Packet)

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Author :
Publisher :
ISBN 13 : 9781846282782
Total Pages : pages
Book Rating : 4.2/5 (827 download)

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Book Synopsis Quantitative Finance (Packet) by :

Download or read book Quantitative Finance (Packet) written by and published by . This book was released on 2005-11-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics of Derivatives Securities with Applications in MATLAB

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119973414
Total Pages : 201 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis The Mathematics of Derivatives Securities with Applications in MATLAB by : Mario Cerrato

Download or read book The Mathematics of Derivatives Securities with Applications in MATLAB written by Mario Cerrato and published by John Wiley & Sons. This book was released on 2012-02-24 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative Finance is expanding rapidly. One of the aspects of the recent financial crisis is that, given the complexity of financial products, the demand for people with high numeracy skills is likely to grow and this means more recognition will be given to Quantitative Finance in existing and new course structures worldwide. Evidence has suggested that many holders of complex financial securities before the financial crisis did not have in-house experts or rely on a third-party in order to assess the risk exposure of their investments. Therefore, this experience shows the need for better understanding of risk associate with complex financial securities in the future. The Mathematics of Derivative Securities with Applications in MATLAB provides readers with an introduction to probability theory, stochastic calculus and stochastic processes, followed by discussion on the application of that knowledge to solve complex financial problems such as pricing and hedging exotic options, pricing American derivatives, pricing and hedging under stochastic volatility and an introduction to interest rates modelling. The book begins with an overview of MATLAB and the various components that will be used alongside it throughout the textbook. Following this, the first part of the book is an in depth introduction to Probability theory, Stochastic Processes and Ito Calculus and Ito Integral. This is essential to fully understand some of the mathematical concepts used in the following part of the book. The second part focuses on financial engineering and guides the reader through the fundamental theorem of asset pricing using the Black and Scholes Economy and Formula, Options Pricing through European and American style options, summaries of Exotic Options, Stochastic Volatility Models and Interest rate Modelling. Topics covered in this part are explained using MATLAB codes showing how the theoretical models are used practically. Authored from an academic’s perspective, the book discusses complex analytical issues and intricate financial instruments in a way that it is accessible to postgraduate students with or without a previous background in probability theory and finance. It is written to be the ideal primary reference book or a perfect companion to other related works. The book uses clear and detailed mathematical explanation accompanied by examples involving real case scenarios throughout and provides MATLAB codes for a variety of topics.