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Pricing Of Discretely Monitored Barrier Options
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Book Synopsis Pricing Discretely Monitored Barrier Options by a Markov Chain by : Jin-Chuan Duan
Download or read book Pricing Discretely Monitored Barrier Options by a Markov Chain written by Jin-Chuan Duan and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The method here to price discretely monitored barrier options in both constant and time-varying volatility valuation frameworks uses a time-homogeneous Markov chain to approximate the underlying asset price process. It provides a natural framework for this pricing process because the discrete time step of the Markov chain can be easily matched with the monitoring frequency of the barrier. The underlying asset price can also be partitioned so as to place the barrier suitably. The method can efficiently handle difficult cases where the barrier is close to the initial asset price. Examples include both knock-in and knock-out barrier options. Different types of barriers such as single, double, and moving barriers are also analyzed.
Book Synopsis Pricing of Discretely Monitored Barrier Options by :
Download or read book Pricing of Discretely Monitored Barrier Options written by and published by . This book was released on 2014 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pricing and Deltas of Discretely-monitored Barrier Options Using Stratified Sampling on the Hitting-times to the Barrier by : Mark Suresh Joshi
Download or read book Pricing and Deltas of Discretely-monitored Barrier Options Using Stratified Sampling on the Hitting-times to the Barrier written by Mark Suresh Joshi and published by . This book was released on 2009 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Erricos Kontoghiorghes Publisher :Springer Science & Business Media ISBN 13 :3540779582 Total Pages :425 pages Book Rating :4.5/5 (47 download)
Book Synopsis Computational Methods in Financial Engineering by : Erricos Kontoghiorghes
Download or read book Computational Methods in Financial Engineering written by Erricos Kontoghiorghes and published by Springer Science & Business Media. This book was released on 2008-02-26 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational models and methods are central to the analysis of economic and financial decisions. Simulation and optimisation are widely used as tools of analysis, modelling and testing. The focus of this book is the development of computational methods and analytical models in financial engineering that rely on computation. The book contains eighteen chapters written by leading researchers in the area on portfolio optimization and option pricing; estimation and classification; banking; risk and macroeconomic modelling. It explores and brings together current research tools and will be of interest to researchers, analysts and practitioners in policy and investment decisions in economics and finance.
Book Synopsis Pricing Discretely Monitored Barrier Options by a Markov Chain by : Duan, Jin-Chuan
Download or read book Pricing Discretely Monitored Barrier Options by a Markov Chain written by Duan, Jin-Chuan and published by Montréal : CIRANO. This book was released on 1999 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Models of Financial Derivatives by : Yue-Kuen Kwok
Download or read book Mathematical Models of Financial Derivatives written by Yue-Kuen Kwok and published by Springer Science & Business Media. This book was released on 2008-07-10 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Discrete Partial Barrier Options with a Moving Barrier by : Harry M. Kat
Download or read book Discrete Partial Barrier Options with a Moving Barrier written by Harry M. Kat and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Barrier options come in many forms. In this article we study the pricing of discrete partial barrier options where the barrier level may change deterministically during the monitoring period and monitoring takes place at not-necessarily equally spaced points in time. We provide closed-form pricing formulas for the prices of these options in a Black-Scholes (1973) world. Using these results, we show that monitoring the reference index discretely instead of continuously may have a very significant effect on the prices of barrier options.
Book Synopsis The Hedging Costs of Discrete Monitoring of FX Barrier Options by : Antonio Castagna
Download or read book The Hedging Costs of Discrete Monitoring of FX Barrier Options written by Antonio Castagna and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects of the discrete monitoring of barrier options is analysed. We determine the costs that a market-maker should charge when making prices for such a kind of exotic options. The costs are related to the Delta-hedging activity around the barrier level between two subsequent monitoring dates, by assuming a reasonable hedging rule followed by the trader. We explain how our result is related to an apparently similar result by Becker and Wystup (2005) and finally we present a practical application showing that the inclusion of the Delta-hedging costs has a relevant impact on the discretely monitored barrier options prices.
Book Synopsis The Complete Guide to Option Pricing Formulas by : Espen Gaardner Haug
Download or read book The Complete Guide to Option Pricing Formulas written by Espen Gaardner Haug and published by McGraw Hill Professional. This book was released on 1997-09-22 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: When pricing options in todayÕs fast-action markets, you need quick access to precise facts and market-tested information. The Complete Guide to Options Pricing Formulas is the only authoritative, comprehensive reference to make the necessary set of option pricing tools available in one place. This invaluable reference work, which includes valuable software and ready-to-use programming code to enhance your understanding of the options pricing models discussed and their practical implementations, also gives you a complete listing of key options formulas, all in a dictionary format for ease of use; commentary from derivatives expert and author Espen Gaarder Haug that explains key points in the most important and useful formulas; practitioner-oriented formulas, and highlights of the latest options pricing research from major institutions worldwide; and much more! Invaluable for both experienced users and those learning how to use the tools of valuation, The Complete Guide to Options Pricing Formulas is the first and only book to place all of the research and information you need at your fingertips with precise directions on maximizing its real-world value.
Book Synopsis Handbooks in Operations Research and Management Science: Financial Engineering by : John R. Birge
Download or read book Handbooks in Operations Research and Management Science: Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.
Book Synopsis Finite Difference Methods in Financial Engineering by : Daniel J. Duffy
Download or read book Finite Difference Methods in Financial Engineering written by Daniel J. Duffy and published by John Wiley & Sons. This book was released on 2013-10-28 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world of quantitative finance (QF) is one of the fastest growing areas of research and its practical applications to derivatives pricing problem. Since the discovery of the famous Black-Scholes equation in the 1970's we have seen a surge in the number of models for a wide range of products such as plain and exotic options, interest rate derivatives, real options and many others. Gone are the days when it was possible to price these derivatives analytically. For most problems we must resort to some kind of approximate method. In this book we employ partial differential equations (PDE) to describe a range of one-factor and multi-factor derivatives products such as plain European and American options, multi-asset options, Asian options, interest rate options and real options. PDE techniques allow us to create a framework for modeling complex and interesting derivatives products. Having defined the PDE problem we then approximate it using the Finite Difference Method (FDM). This method has been used for many application areas such as fluid dynamics, heat transfer, semiconductor simulation and astrophysics, to name just a few. In this book we apply the same techniques to pricing real-life derivative products. We use both traditional (or well-known) methods as well as a number of advanced schemes that are making their way into the QF literature: Crank-Nicolson, exponentially fitted and higher-order schemes for one-factor and multi-factor options Early exercise features and approximation using front-fixing, penalty and variational methods Modelling stochastic volatility models using Splitting methods Critique of ADI and Crank-Nicolson schemes; when they work and when they don't work Modelling jumps using Partial Integro Differential Equations (PIDE) Free and moving boundary value problems in QF Included with the book is a CD containing information on how to set up FDM algorithms, how to map these algorithms to C++ as well as several working programs for one-factor and two-factor models. We also provide source code so that you can customize the applications to suit your own needs.
Book Synopsis PDE and Martingale Methods in Option Pricing by : Andrea Pascucci
Download or read book PDE and Martingale Methods in Option Pricing written by Andrea Pascucci and published by Springer Science & Business Media. This book was released on 2011-04-15 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the mathematical, probabilistic and numerical methods used in the modern theory of option pricing. The text is designed for readers with a basic mathematical background. The first part contains a presentation of the arbitrage theory in discrete time. In the second part, the theories of stochastic calculus and parabolic PDEs are developed in detail and the classical arbitrage theory is analyzed in a Markovian setting by means of of PDEs techniques. After the martingale representation theorems and the Girsanov theory have been presented, arbitrage pricing is revisited in the martingale theory optics. General tools from PDE and martingale theories are also used in the analysis of volatility modeling. The book also contains an Introduction to Lévy processes and Malliavin calculus. The last part is devoted to the description of the numerical methods used in option pricing: Monte Carlo, binomial trees, finite differences and Fourier transform.
Book Synopsis Semi-Analytical Valuation for Discrete Barrier Options Under Time-Dependent Lévy Processes by : Guanghua Lian
Download or read book Semi-Analytical Valuation for Discrete Barrier Options Under Time-Dependent Lévy Processes written by Guanghua Lian and published by . This book was released on 2017 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple analytical solutions for the prices of discretely monitored barrier options do not yet exist in the literature. This paper presents a semi-analytical and fully explicit solution for pricing discretely monitored barrier options when the underlying asset is driven by a general Lévy process. The explicit formula only involves elementary functions, and the Greeks are also explicitly available with little additional computation. By performing a Z-transform, we reduce the valuation problem to an integral equation. This equation is solved analytically with the solution expressed in terms of a Fourier cosine series. We then manage to analytically carry out the Z-transform inversion, and obtain a semi-analytical formula for pricing discrete barrier options. We establish the theoretical error bound and analyze the convergence order of our method. Numerical implementation demonstrates that our numerical results are accurate and efficient, and match up with the results from the benchmark methods in the literature.
Book Synopsis Foreign Exchange Option Pricing by : Iain J. Clark
Download or read book Foreign Exchange Option Pricing written by Iain J. Clark and published by John Wiley & Sons. This book was released on 2011-10-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers foreign exchange options from the point of view of the finance practitioner. It contains everything a quant or trader working in a bank or hedge fund would need to know about the mathematics of foreign exchange—not just the theoretical mathematics covered in other books but also comprehensive coverage of implementation, pricing and calibration. With content developed with input from traders and with examples using real-world data, this book introduces many of the more commonly requested products from FX options trading desks, together with the models that capture the risk characteristics necessary to price these products accurately. Crucially, this book describes the numerical methods required for calibration of these models – an area often neglected in the literature, which is nevertheless of paramount importance in practice. Thorough treatment is given in one unified text to the following features: Correct market conventions for FX volatility surface construction Adjustment for settlement and delayed delivery of options Pricing of vanillas and barrier options under the volatility smile Barrier bending for limiting barrier discontinuity risk near expiry Industry strength partial differential equations in one and several spatial variables using finite differences on nonuniform grids Fourier transform methods for pricing European options using characteristic functions Stochastic and local volatility models, and a mixed stochastic/local volatility model Three-factor long-dated FX model Numerical calibration techniques for all the models in this work The augmented state variable approach for pricing strongly path-dependent options using either partial differential equations or Monte Carlo simulation Connecting mathematically rigorous theory with practice, this is the essential guide to foreign exchange options in the context of the real financial marketplace.
Book Synopsis Option Pricing Models and Volatility Using Excel-VBA by : Fabrice D. Rouah
Download or read book Option Pricing Models and Volatility Using Excel-VBA written by Fabrice D. Rouah and published by John Wiley & Sons. This book was released on 2012-06-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive guide offers traders, quants, and students the tools and techniques for using advanced models for pricing options. The accompanying website includes data files, such as options prices, stock prices, or index prices, as well as all of the codes needed to use the option and volatility models described in the book. Praise for Option Pricing Models & Volatility Using Excel-VBA "Excel is already a great pedagogical tool for teaching option valuation and risk management. But the VBA routines in this book elevate Excel to an industrial-strength financial engineering toolbox. I have no doubt that it will become hugely successful as a reference for option traders and risk managers." —Peter Christoffersen, Associate Professor of Finance, Desautels Faculty of Management, McGill University "This book is filled with methodology and techniques on how to implement option pricing and volatility models in VBA. The book takes an in-depth look into how to implement the Heston and Heston and Nandi models and includes an entire chapter on parameter estimation, but this is just the tip of the iceberg. Everyone interested in derivatives should have this book in their personal library." —Espen Gaarder Haug, option trader, philosopher, and author of Derivatives Models on Models "I am impressed. This is an important book because it is the first book to cover the modern generation of option models, including stochastic volatility and GARCH." —Steven L. Heston, Assistant Professor of Finance, R.H. Smith School of Business, University of Maryland
Download or read book Option Theory written by Peter James and published by John Wiley & Sons. This book was released on 2003-04-04 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified development of the subject, presenting the theory of options in each of the different forms and stressing the equivalence between each of the methodologies. * Demystifies some of the more complex topics. * Derives practical, tangible results using the theory, to help practitioners in problem solving. * Applies the results obtained to the analysis and pricing of options in the equity, currency, commodity and interest rate markets. * Gives the reader the analytical tools and technical jargon to understand the current technical literature available. * Provides a user-friendly reference on option theory for practicing investors and traders.
Book Synopsis Finance & Economics Readings by : Lee-Ming Tan
Download or read book Finance & Economics Readings written by Lee-Ming Tan and published by Springer. This book was released on 2018-03-05 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of the best papers presented at the 2017 installment of the Asia-Pacific Conference on Economics & Finance (APEF), which is held annually in Singapore. With a great number of submissions, it presents the latest research findings in economics and finance and discusses relevant issues in today's world. The book is a useful resource for readers who want access to economics, finance and business research focusing on the Asia-Pacific region.
