Derivative Evaluation Using Recombining Trees Under Stochastic Volatility
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| Author | : Enrico Moretto |
| Publisher | : |
| Total Pages | : 24 |
| Release | : 2013 |
| Genre | : |
| ISBN | : |
Heston (1993) presents a method to derive a closed-form solution for derivative pricing when the volatility of the underlying asset follows stochastic dynamics. His approach works well for European derivatives but, unfortunately, does not readily extend to the pricing of more complex contracts. In this paper we propose an alternative stochastic volatility model which retains many features of Heston model, but is better suited for an easy discretization through recombining trees, in the spirit of Nelson and Ramaswamy (1990). After having discussed the theoretical properties of the model we construct its discretized counterpart through a recombining multinomial tree. We apply the model to the USD/EURO exchange rate market, evaluating both American and barrier options.
| Author | : Espen Gaarder Haug |
| Publisher | : John Wiley & Sons |
| Total Pages | : 400 |
| Release | : 2013-10-18 |
| Genre | : Business & Economics |
| ISBN | : 1118836820 |
Derivatives Models on Models takes a theoretical and practical look at some of the latest and most important ideas behind derivatives pricing models. In each chapter the author highlights the latest thinking and trends in the area. A wide range of topics are covered, including valuation methods on stocks paying discrete dividend, Asian options, American barrier options, Complex barrier options, reset options, and electricity derivatives. The book also discusses the latest ideas surrounding finance like the robustness of dynamic delta hedging, option hedging, negative probabilities and space-time finance. The accompanying CD-ROM with additional Excel sheets includes the mathematical models covered in the book. The book also includes interviews with some of the world’s top names in the industry, and an insight into the history behind some of the greatest discoveries in quantitative finance. Interviewees include: Clive Granger, Nobel Prize winner in Economics 2003, on Cointegration Nassim Taleb on Black Swans Stephen Ross on Arbitrage Pricing Theory Emanuel Derman the Wall Street Quant Edward Thorp on Gambling and Trading Peter Carr the Wall Street Wizard of Option Symmetry and Volatility Aaron Brown on Gambling, Poker and Trading David Bates on Crash and Jumps Andrei Khrennikov on Negative Probabilities Elie Ayache on Option Trading and Modeling Peter Jaeckel on Monte Carlo Simulation Alan Lewis on Stochastic Volatility and Jumps Paul Wilmott on Paul Wilmott Knut Aase on Catastrophes and Financial Economics Eduardo Schwartz the Yoga Master of Quantitative Finance Bruno Dupire on Local and Stochastic Volatility Models
| Author | : Sanjay K. Nawalkha |
| Publisher | : John Wiley & Sons |
| Total Pages | : 722 |
| Release | : 2007-05-23 |
| Genre | : Business & Economics |
| ISBN | : 0470140062 |
Praise for Dynamic Term Structure Modeling "This book offers the most comprehensive coverage of term-structure models I have seen so far, encompassing equilibrium and no-arbitrage models in a new framework, along with the major solution techniques using trees, PDE methods, Fourier methods, and approximations. It is an essential reference for academics and practitioners alike." --Sanjiv Ranjan Das Professor of Finance, Santa Clara University, California, coeditor, Journal of Derivatives "Bravo! This is an exhaustive analysis of the yield curve dynamics. It is clear, pedagogically impressive, well presented, and to the point." --Nassim Nicholas Taleb author, Dynamic Hedging and The Black Swan "Nawalkha, Beliaeva, and Soto have put together a comprehensive, up-to-date textbook on modern dynamic term structure modeling. It is both accessible and rigorous and should be of tremendous interest to anyone who wants to learn about state-of-the-art fixed income modeling. It provides many numerical examples that will be valuable to readers interested in the practical implementations of these models." --Pierre Collin-Dufresne Associate Professor of Finance, UC Berkeley "The book provides a comprehensive description of the continuous time interest rate models. It serves an important part of the trilogy, useful for financial engineers to grasp the theoretical underpinnings and the practical implementation." --Thomas S. Y. Ho, PHD President, Thomas Ho Company, Ltd, coauthor, The Oxford Guide to Financial Modeling
| Author | : George Yin |
| Publisher | : Springer |
| Total Pages | : 593 |
| Release | : 2019-07-16 |
| Genre | : Mathematics |
| ISBN | : 3030254984 |
This volume collects papers, based on invited talks given at the IMA workshop in Modeling, Stochastic Control, Optimization, and Related Applications, held at the Institute for Mathematics and Its Applications, University of Minnesota, during May and June, 2018. There were four week-long workshops during the conference. They are (1) stochastic control, computation methods, and applications, (2) queueing theory and networked systems, (3) ecological and biological applications, and (4) finance and economics applications. For broader impacts, researchers from different fields covering both theoretically oriented and application intensive areas were invited to participate in the conference. It brought together researchers from multi-disciplinary communities in applied mathematics, applied probability, engineering, biology, ecology, and networked science, to review, and substantially update most recent progress. As an archive, this volume presents some of the highlights of the workshops, and collect papers covering a broad range of topics.
| Author | : Thomas S. Y. Ho |
| Publisher | : Oxford University Press |
| Total Pages | : 762 |
| Release | : 2004-01-15 |
| Genre | : Business & Economics |
| ISBN | : 0199923981 |
The essential premise of this book is that theory and practice are equally important in describing financial modeling. In it the authors try to strike a balance in their discussions between theories that provide foundations for financial models and the institutional details that provide the context for applications of the models. The book presents the financial models of stock and bond options, exotic options, investment grade and high-yield bonds, convertible bonds, mortgage-backed securities, liabilities of financial institutions--the business model and the corporate model. It also describes the applications of the models to corporate finance. Furthermore, it relates the models to financial statements, risk management for an enterprise, and asset/liability management with illiquid instruments. The financial models are progressively presented from option pricing in the securities markets to firm valuation in corporate finance, following a format to emphasize the three aspects of a model: the set of assumptions, the model specification, and the model applications. Generally, financial modeling books segment the world of finance as "investments," "financial institutions," "corporate finance," and "securities analysis," and in so doing they rarely emphasize the relationships between the subjects. This unique book successfully ties the thought processes and applications of the financial models together and describes them as one process that provides business solutions. Created as a companion website to the book readers can visit www.thomasho.com to gain deeper understanding of the book's financial models. Interested readers can build and test the models described in the book using Excel, and they can submit their models to the site. Readers can also use the site's forum to discuss the models and can browse server based models to gain insights into the applications of the models. For those using the book in meetings or class settings the site provides Power Point descriptions of the chapters. Students can use available question banks on the chapters for studying.
| Author | : Jeroen F. J. De Munnik |
| Publisher | : Routledge |
| Total Pages | : 163 |
| Release | : 2005-10-18 |
| Genre | : Business & Economics |
| ISBN | : 1134775911 |
The increased volatility of interest rates during recent years and the corresponding introduction of a variety of interest rate derivative securities like bond options, futures and embedded options in mortgages, underlines the need for a comprehensive financial theory to determine values of fixed income instruments and derivative securities consistently. This book provides: * a detailed overview and classification of the different approaches to value interest rate dependent securities * a comparison of the numerical approaches to value complex securities * an empirical examination for the Dutch Fixed Income Market of some well-known interest rate models which demonstrates recent improvements to describe interest rate movements in relation to contingent claim valuation.
| Author | : Bhojnarine Ricky Rambharat |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2005 |
| Genre | : |
| ISBN | : |
| Author | : Joao Garcia |
| Publisher | : John Wiley & Sons |
| Total Pages | : 302 |
| Release | : 2010-02-16 |
| Genre | : Business & Economics |
| ISBN | : 0470684968 |
Credit derivatives have been instrumental in the recent increase in securitization activity. The complex nature and the size of the market have given rise to very complex counterparty credit risks. The Lehman failure has shown that these issues can paralyse the financial markets, and the need for detailed understanding has never been greater. The Art of Credit Derivatives shows practitioners how to put a framework in place which will support the securitization activity. By showing the models that support this activity and linking them with very practical examples, the authors show why a mind-shift within the quant community is needed - a move from simple modeling to a more hands on mindset where the modeler understands the trading implicitly. The book has been written in five parts, covering the modeling framework; single name corporate credit derivatives; multi name corporate credit derivatives; asset backed securities and dynamic credit portfolio management. Coverage includes: groundbreaking solutions to the inherent risks associated with investing in securitization instruments how to use the standardized credit indices as the most appropriate instruments in price discovery processes and why these indices are the essential tools for short term credit portfolio management why the dynamics of systemic correlation and the standardised credit indices are linked with leverage, and consequently the implications for liquidity and solvability of financial institutions how Lévy processes and long term memory processes are related to the understanding of economic activity why regulatory capital should be portfolio dependant and how to use stress tests and scenario analysis to model this how to put structured products in a mark-to market-environment, increasing transparency for accounting and compliance. This book will be invaluable reading for Credit Analysts, Quantitative Analysts, Credit Portfolio Managers, Academics and anyone interested in these complex yet important markets.
| Author | : Justin London |
| Publisher | : John Wiley & Sons |
| Total Pages | : 922 |
| Release | : 2005-01-21 |
| Genre | : Business & Economics |
| ISBN | : 047168189X |
This book is the definitive and most comprehensive guide to modeling derivatives in C++ today. Providing readers with not only the theory and math behind the models, as well as the fundamental concepts of financial engineering, but also actual robust object-oriented C++ code, this is a practical introduction to the most important derivative models used in practice today, including equity (standard and exotics including barrier, lookback, and Asian) and fixed income (bonds, caps, swaptions, swaps, credit) derivatives. The book provides complete C++ implementations for many of the most important derivatives and interest rate pricing models used on Wall Street including Hull-White, BDT, CIR, HJM, and LIBOR Market Model. London illustrates the practical and efficient implementations of these models in real-world situations and discusses the mathematical underpinnings and derivation of the models in a detailed yet accessible manner illustrated by many examples with numerical data as well as real market data. A companion CD contains quantitative libraries, tools, applications, and resources that will be of value to those doing quantitative programming and analysis in C++. Filled with practical advice and helpful tools, Modeling Derivatives in C++ will help readers succeed in understanding and implementing C++ when modeling all types of derivatives.
| Author | : Mark Nathan Broadie |
| Publisher | : |
| Total Pages | : 288 |
| Release | : 1998 |
| Genre | : Business & Economics |
| ISBN | : |
An insightful collection of 35+ articles encapsulating advances in financial derivatives, selected by two well-respected academics.
