Download or read book Importance Sampling in the Heath Jarrow Morton Framework written by International Business Machines Corporation. Research Division and published by . This book was released on 1999 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper develops a variance reduction technique for pricing derivatives in high-dimensional multifactor models, with particular emphasis on term structure models formulated in the Heath-Jarrow-Morton framework. A premise of this work is that the largest gains in simulation efficiency come from taking advantage of the structure of both the cashflows of a security and the model in which it is priced; for this to be feasible in practice requires that the identification and use of relevant structure be automated. We exploit model and payoff structure through a combination of importance sampling and stratified sampling. The importance sampling applies a change of drift to the underlying factors; we select the drift by first solving an optimization problem. We then identify a particularly effective direction for stratified sampling (which may be thought of as an approximate numerical integration) by solving an eigenvector problem. Examples illustrate that the combination of the methods can produce enormous variance reduction even in high-dimensional multifactor models. The method introduces some computational overhead in solving the optimization and eigenvector problems; to address this we propose and evaluate approximate solution procedures. These further enhance the applicability of the method."
Download or read book Monte Carlo Methods in Financial Engineering written by Paul Glasserman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Implementing Models in Quantitative Finance Methods and Cases written by Gianluca Fusai and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts numerical methods in action for the purpose of solving practical problems in quantitative finance. The first part develops a toolkit in numerical methods for finance. The second part proposes twenty self-contained cases covering model simulation, asset pricing and hedging, risk management, statistical estimation and model calibration. Each case develops a detailed solution to a concrete problem arising in applied financial management and guides the user towards a computer implementation. The appendices contain "crash courses" in VBA and Matlab programming languages.
Download or read book Computational Finance 1999 written by Yaser S. Abu-Mostafa and published by MIT Press. This book was released on 2000 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the techniques of data mining, knowledge discovery, genetic algorithms, neural networks, bootstrapping, machine learning, and Monte Carlo simulation. Computational finance, an exciting new cross-disciplinary research area, draws extensively on the tools and techniques of computer science, statistics, information systems, and financial economics. This book covers the techniques of data mining, knowledge discovery, genetic algorithms, neural networks, bootstrapping, machine learning, and Monte Carlo simulation. These methods are applied to a wide range of problems in finance, including risk management, asset allocation, style analysis, dynamic trading and hedging, forecasting, and option pricing. The book is based on the sixth annual international conference Computational Finance 1999, held at New York University's Stern School of Business.
Download or read book Stochastic Simulation and Applications in Finance with MATLAB Programs written by Huu Tue Huynh and published by John Wiley & Sons. This book was released on 2011-11-21 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Simulation and Applications in Finance with MATLAB Programs explains the fundamentals of Monte Carlo simulation techniques, their use in the numerical resolution of stochastic differential equations and their current applications in finance. Building on an integrated approach, it provides a pedagogical treatment of the need-to-know materials in risk management and financial engineering. The book takes readers through the basic concepts, covering the most recent research and problems in the area, including: the quadratic re-sampling technique, the Least Squared Method, the dynamic programming and Stratified State Aggregation technique to price American options, the extreme value simulation technique to price exotic options and the retrieval of volatility method to estimate Greeks. The authors also present modern term structure of interest rate models and pricing swaptions with the BGM market model, and give a full explanation of corporate securities valuation and credit risk based on the structural approach of Merton. Case studies on financial guarantees illustrate how to implement the simulation techniques in pricing and hedging. NOTE TO READER: The CD has been converted to URL. Go to the following website www.wiley.com/go/huyhnstochastic which provides MATLAB programs for the practical examples and case studies, which will give the reader confidence in using and adapting specific ways to solve problems involving stochastic processes in finance.
Download or read book Monte Carlo Methods and Models in Finance and Insurance written by Ralf Korn and published by CRC Press. This book was released on 2010-02-26 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Rom
Download or read book Quantitative Finance And Risk Management A Physicist s Approach written by Jan W Dash and published by World Scientific Publishing Company. This book was released on 2004-07-09 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2nd Edition of Quantitative Finance and Risk Management: A Physicist's ApproachWritten by a physicist with over 15 years of experience as a quant on Wall Street, this book treats a wide variety of topics. Presenting the theory and practice of quantitative finance and risk, it delves into the “how to” and “what it's like” aspects not covered in textbooks or research papers. Both standard and new results are presented. A “Technical Index” indicates the mathematical level — from zero to PhD — for each chapter. The finance in each chapter is self-contained. Real-life comments on “life as a quant” are included.An errata and Additions (3rd Reprint, 2008) to the book is available.
Download or read book SABR and SABR LIBOR Market Models in Practice written by Christian Crispoldi and published by Springer. This book was released on 2016-04-29 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest rate traders have been using the SABR model to price vanilla products for more than a decade. However this model suffers however from a severe limitation: its inability to value exotic products. A term structure model à la LIBOR Market Model (LMM) is often employed to value these more complex derivatives, however the LMM is unable to capture the volatility smile. A joint SABR LIBOR Market Model is the natural evolution towards a consistent pricing of vanilla and exotic products. Knowledge of these models is essential to all aspiring interest rate quants, traders and risk managers, as well an understanding of their failings and alternatives. SABR and SABR Libor Market Models in Practice is an accessible guide to modern interest rate modelling. Rather than covering an array of models which are seldom used in practice, it focuses on the SABR model, the market standard for vanilla products, the LIBOR Market Model, the most commonly used model for exotic products and the extended SABR LIBOR Market Model. The book takes a hands-on approach, demonstrating simply how to implement and work with these models in a market setting. It bridges the gap between the understanding of the models from a conceptual and mathematical perspective and the actual implementation by supplementing the interest rate theory with modelling specific, practical code examples written in Python.
Download or read book The Journal of Derivatives written by and published by . This book was released on 1999 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopedia of Environmetrics written by Abdel H. El-Shaarawi and published by John Wiley & Sons. This book was released on 2002 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of environmetric research and its applications... Environmetrics covers the development and application of quantitative methods in the environmental sciences. It provides essential tools for understanding, predicting, and controlling the impacts of agents, both man-made and natural, which affect the environment. Basic and applied research in this area covers a broad range of topics. Primary among these are the quantitative sciences, such as statistics, probability and applied mathematics, chemometrics, and econometrics. Applications are also important, for example in, ecology and environmental biology, public health, atmospheric science, geology, engineering, risk management, and regulatory/governmental policy amongst others. * Divided into 12 sections, the Encyclopedia brings together over 600 detailed articles which have been carefully selected and reviewed through the collaborative efforts of the Editors-in-Chief and the appropriate Section Editor * Presented in alphabetical order all the articles will include an explanatory introduction, extensive cross-referencing and an up-to-date bibliography providing literature references for further reading. Presenting state of the art information in a readable, highly accessible style, the scope and coverage provided by the Encyclopedia of Environmetrics will ensure its place as the landmark reference for the many scientists, educators, and decision-makers working across this multidisciplinary field. An essential reference tool for university libraries, research laboratories, government institutions and consultancies concerned with the environmental sciences, the Encyclopedia of Environmetrics brings together for the first time, comprehensive coverage of the full range of topics, techniques and applications covered by this multidisciplinary field. There is currently no central reference source which addresses the needs of this multidisciplinary community. This new Encyclopedia will fill this gap by providing a comprehensive source of relevant fundamental concepts in environmetric research, development and applications for statisticians, mathematicians, economists, environmentalists, ecologist, government officials and policy makers.
Download or read book Financial Modeling Actuarial Valuation and Solvency in Insurance written by Mario V. Wüthrich and published by Springer Science & Business Media. This book was released on 2013-04-04 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk management for financial institutions is one of the key topics the financial industry has to deal with. The present volume is a mathematically rigorous text on solvency modeling. Currently, there are many new developments in this area in the financial and insurance industry (Basel III and Solvency II), but none of these developments provides a fully consistent and comprehensive framework for the analysis of solvency questions. Merz and Wüthrich combine ideas from financial mathematics (no-arbitrage theory, equivalent martingale measure), actuarial sciences (insurance claims modeling, cash flow valuation) and economic theory (risk aversion, probability distortion) to provide a fully consistent framework. Within this framework they then study solvency questions in incomplete markets, analyze hedging risks, and study asset-and-liability management questions, as well as issues like the limited liability options, dividend to shareholder questions, the role of re-insurance, etc. This work embeds the solvency discussion (and long-term liabilities) into a scientific framework and is intended for researchers as well as practitioners in the financial and actuarial industry, especially those in charge of internal risk management systems. Readers should have a good background in probability theory and statistics, and should be familiar with popular distributions, stochastic processes, martingales, etc.
Download or read book The Journal of Computational Finance written by and published by . This book was released on 2000 with total page 1046 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Explanation of Design point Importance Sampling in a New Framework written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Management Science written by and published by . This book was released on 2000-09 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues for Feb. 1965-Aug. 1967 include Bulletin of the Institute of Management Sciences.
Download or read book Business Periodicals Index written by and published by . This book was released on 1999 with total page 2202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Efficient High dimensional Importance Sampling in Mixture Frameworks written by Tore Selland Kleppe and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the IEEE IAFE 1995 Computational Intelligence for Financial Engineering CIFEr written by and published by . This book was released on 1995 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
