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First Passage Time Density Approach To Pricing Barrier Options And Monte Carlo Simulation Of The Hjm Interest Rate Model
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Book Synopsis First Passage Time Density Approach to Pricing Barrier Options and Monte Carlo Simulation of the HJM Interest Rate Model by : Zhenyu Duanmu
Download or read book First Passage Time Density Approach to Pricing Barrier Options and Monte Carlo Simulation of the HJM Interest Rate Model written by Zhenyu Duanmu and published by . This book was released on 1994 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling Fixed-Income Securities and Interest Rate Options by : Robert A. Jarrow
Download or read book Modeling Fixed-Income Securities and Interest Rate Options written by Robert A. Jarrow and published by Stanford University Press. This book was released on 2002 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text seeks to teach the basics of fixed-income securities in a way that requires a minimum of prerequisites. Its approach - the Heath Jarrow Morton model - under which all other models are presented as special cases, aims to enhance understanding while avoiding repetition.
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-Time Continuous-State Interest Rate Models by :
Download or read book Discrete-Time Continuous-State Interest Rate Models written by and published by DIANE Publishing. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Barrier Options on Spot Libor Rates Under Multi-Factor Gaussian HJM Models by : João Pedro Vidal Nunes
Download or read book Barrier Options on Spot Libor Rates Under Multi-Factor Gaussian HJM Models written by João Pedro Vidal Nunes and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We derive approximate analytical pricing formulas for interest rate caps and floors with continuously monitored barriers in a multi-factor Gaussian HJM framework. The closed-form valuation equations are subject to a Radon-Nikodym approximation, which is similar to the proportionality assumption used by El Karoui and Rochet (1989) and to the rank 1 approximation suggested by Brace and Musiela (1994).Monte Carlo simulation shows that the resulting analytical approximations are accurate and much faster than existing numerical and quasi-analytical pricing methods. Moreover, we provide error bounds for our solution, an innovation relative to the previous literature. These bounds provide a confidence interval for the true barrier option price, which in turn is an indicator of the precision of the proposed analytical pricing solutions.
Download or read book The Journal of Derivatives written by and published by . This book was released on 2005 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monte Carlo Simulation and Finance by : Don L. McLeish
Download or read book Monte Carlo Simulation and Finance written by Don L. McLeish and published by John Wiley & Sons. This book was released on 2011-09-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo methods have been used for decades in physics, engineering, statistics, and other fields. Monte Carlo Simulation and Finance explains the nuts and bolts of this essential technique used to value derivatives and other securities. Author and educator Don McLeish examines this fundamental process, and discusses important issues, including specialized problems in finance that Monte Carlo and Quasi-Monte Carlo methods can help solve and the different ways Monte Carlo methods can be improved upon. This state-of-the-art book on Monte Carlo simulation methods is ideal for finance professionals and students. Order your copy today.
Book Synopsis Using Monte Carlo Simulation and Importance Sampling to Rapidly Obtain Jump-Diffusion Prices of Continuous Barrier Options by : Mark S. Joshi
Download or read book Using Monte Carlo Simulation and Importance Sampling to Rapidly Obtain Jump-Diffusion Prices of Continuous Barrier Options written by Mark S. Joshi and published by . This book was released on 2007 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of pricing a continuous barrier option in a jump-diffusion model is studied. It is shown that via an effective combination of importance sampling and analytic formulas thatsubstantial speed ups can be achieved. These techniques are shown to be particularly effective for computing deltas.
Book Synopsis Pricing Interest Rate Caps by Calibrating the Parameters of the Heath-Jarrow-Morton (HJM) Model by :
Download or read book Pricing Interest Rate Caps by Calibrating the Parameters of the Heath-Jarrow-Morton (HJM) Model written by and published by . This book was released on 2002 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monte Carlo Methods in Financial Engineering by : Paul Glasserman
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
Book Synopsis Efficient Monte Carlo Barrier Option Pricing When the Underlying Security Price Follows a Jump-Diffusion Process by : Sheldon Ross
Download or read book Efficient Monte Carlo Barrier Option Pricing When the Underlying Security Price Follows a Jump-Diffusion Process written by Sheldon Ross and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We present efficient simulation procedures for pricing barrier options when the underlying security price follows a geometric Brownian motion with jumps. Metwally and Atiya [2002] developed a simulation approach for pricing knock-out options in the same setting, but no variance reduction was introduced. We improve upon Metwally and Atiya's method by innovative applications of well-known variance reduction techniques. We also show how to use simulation to price knock-in options. Numerical examples show that our proposed Monte Carlo procedures lead to substantial variance reduction as well as a reduction in computing time.
Book Synopsis Using Monte Carlo Simulation and Importance Sampling to Rapidly Obtain Jump-diffusion Prices of Continuous Barrier Options by : Mark Suresh Joshi
Download or read book Using Monte Carlo Simulation and Importance Sampling to Rapidly Obtain Jump-diffusion Prices of Continuous Barrier Options written by Mark Suresh Joshi and published by . This book was released on 2006 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Martingale Methods in Financial Modelling by : Marek Musiela
Download or read book Martingale Methods in Financial Modelling written by Marek Musiela and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a successful, well-established book that provides the reader with a text focused on practical rather than theoretical aspects of financial modelling Includes a new chapter devoted to volatility risk The theme of stochastic volatility reappears systematically and has been revised fundamentally, presenting a much more detailed analyses of interest-rate models
Book Synopsis An Elementary Introduction to Stochastic Interest Rate Modeling by : Nicolas Privault
Download or read book An Elementary Introduction to Stochastic Interest Rate Modeling written by Nicolas Privault and published by World Scientific. This book was released on 2012 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest rate modeling and the pricing of related derivatives remain subjects of increasing importance in financial mathematics and risk management. This book provides an accessible introduction to these topics by a step-by-step presentation of concepts with a focus on explicit calculations. Each chapter is accompanied with exercises and their complete solutions, making the book suitable for advanced undergraduate and graduate level students. This second edition retains the main features of the first edition while incorporating a complete revision of the text as well as additional exercises with their solutions, and a new introductory chapter on credit risk. The stochastic interest rate models considered range from standard short rate to forward rate models, with a treatment of the pricing of related derivatives such as caps and swaptions under forward measures. Some more advanced topics including the BGM model and an approach to its calibration are also covered.
Book Synopsis Discretely Monitored First Passage Problems and Barrier Options by : Lingfei Li
Download or read book Discretely Monitored First Passage Problems and Barrier Options written by Lingfei Li and published by . This book was released on 2014 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper develops an eigenfunction expansion approach to solve discretely monitored first passage time problems for a rich class of Markov processes, including diffusions and subordinate diffusions with jumps, whose transition or Feynman-Kac semigroups possess eigenfunction expansions in L2 spaces. Many processes important in finance are in this class, including OU, CIR, (JD)CEV diffusions and their subordinate versions with jumps. The method represents the solution to a discretely monitored first passage problem in the form of an eigenfunction expansion with expansion coefficients satisfying an explicitly given recursion. A range of financial applications is given, drawn from across equity, credit, commodity, and interest rate markets. Numerical examples demonstrate that even in the case of frequent barrier monitoring, such as daily, approximating discrete first passage time problems with continuous solutions may result in unacceptably large errors in financial applications. This highlights the relevance of the method to financial applications.
Download or read book Monte Carlo Methods written by Roman Frey and published by . This book was released on 2009-10 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper provides an extensive treatment of the entire Monte Carlo simulation theory. Furthermore, the Monte Carlo technique is used for addressing the pricing of various interest rate derivatives in different term structure models by the simulation approach. With the rising complexity and diversity of upcoming derivative securities, analytically tractable or closed-form pricing methods are difficult to find or even inexistent. If the thoroughly popular lattice valuation approach additionally fails due to non-recombining characteristics, Monte Carlo simulation represents a powerful and flexible alternative pricing method. The goal of this paper is to discuss and implement the fundamentals of Monte Carlo methods and to introduce the wide use of this approach in finance, especially in interest rate derivative valuation. The paper is roughly divided into three parts. The first part focuses on random number generation and on increasing efficiency methods for Monte Carlo, such as variance reduction techniques or low-discrepancy sequences. In the following part different term structure models are developed and the link to the simulation theory is eventually established. In the third and final part some ordinary and extended Monte Carlo algorithms are implemented and corresponding simulations are run in order to analyze Bermudan swaption prices in detail. Even though Monte Carlo methods feature a relatively slow but given convergence rate, they remain a competitive tool in financial applications. They owe their rising popularity to a large extent to their flexibility and to recent progress in methods which improve their accuracy and precision in estimating quantities of interest. Moreover, some of the leading yield curve models are heavily relying on Monte Carlo techniques. Several extensions of the standard Monte Carlo approach, such as least-squares Monte Carlo, for instance, are able to overcome the early-exercise hurdle a.
Book Synopsis Vasicek and Beyond by : L. P. Hughston
Download or read book Vasicek and Beyond written by L. P. Hughston and published by . This book was released on 1996 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
