Efficient and Exact Simulation of the Hull-White Model

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Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Efficient and Exact Simulation of the Hull-White Model by : Vladimir Ostrovski

Download or read book Efficient and Exact Simulation of the Hull-White Model written by Vladimir Ostrovski and published by . This book was released on 2016 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract. This paper describes how an efficient and exact Monte-Carlo simulation of the Hull-White model could be performed. For that purpose the joint conditional distribution of the short interest rate and the discount factor is derived. The proposed approach can be straightforward extended to the multifactor Gaussian affine term structure models.

Efficient and Exact Simulation of the Gaussian Affine Interest Rate Models (with Application to the Hull White Model and G2++ Model).

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Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Efficient and Exact Simulation of the Gaussian Affine Interest Rate Models (with Application to the Hull White Model and G2++ Model). by : Vladimir Ostrovski

Download or read book Efficient and Exact Simulation of the Gaussian Affine Interest Rate Models (with Application to the Hull White Model and G2++ Model). written by Vladimir Ostrovski and published by . This book was released on 2018 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Gaussian affine interest rate models are widely used in the financial industry for pricing, hedging and also risk management purposes. We consider the multifactor models with time dependent parameters. Usually the models are simulated using some appropriate discretization schema because the joint distribution of the stochastic and discounting factors is not known. We derive the exact joint conditional distribution of the stochastic and discounting factors. Additionally we show how an efficient and exact Monte Carlo simulation of the Hull White and G2++ interest rates models could be performed.

Derivatives Analytics with Python

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Publisher : John Wiley & Sons
ISBN 13 : 111903793X
Total Pages : 376 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Derivatives Analytics with Python by : Yves Hilpisch

Download or read book Derivatives Analytics with Python written by Yves Hilpisch and published by John Wiley & Sons. This book was released on 2015-06-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supercharge options analytics and hedging using the power ofPython Derivatives Analytics with Python shows you how toimplement market-consistent valuation and hedging approaches usingadvanced financial models, efficient numerical techniques, and thepowerful capabilities of the Python programming language. Thisunique guide offers detailed explanations of all theory, methods,and processes, giving you the background and tools necessary tovalue stock index options from a sound foundation. You'll find anduse self-contained Python scripts and modules and learn how toapply Python to advanced data and derivatives analytics as youbenefit from the 5,000+ lines of code that are provided to help youreproduce the results and graphics presented. Coverage includesmarket data analysis, risk-neutral valuation, Monte Carlosimulation, model calibration, valuation, and dynamic hedging, withmodels that exhibit stochastic volatility, jump components,stochastic short rates, and more. The companion website featuresall code and IPython Notebooks for immediate execution andautomation. Python is gaining ground in the derivatives analytics space,allowing institutions to quickly and efficiently deliver portfolio,trading, and risk management results. This book is the financeprofessional's guide to exploiting Python's capabilities forefficient and performing derivatives analytics. Reproduce major stylized facts of equity and options marketsyourself Apply Fourier transform techniques and advanced Monte Carlopricing Calibrate advanced option pricing models to market data Integrate advanced models and numeric methods to dynamicallyhedge options Recent developments in the Python ecosystem enable analysts toimplement analytics tasks as performing as with C or C++, but usingonly about one-tenth of the code or even less. DerivativesAnalytics with Python — Data Analysis, Models, Simulation,Calibration and Hedging shows you what you need to know tosupercharge your derivatives and risk analytics efforts.

Blockchain Technology and Application

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Publisher : Springer Nature
ISBN 13 : 9811532788
Total Pages : 252 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Blockchain Technology and Application by : Xueming Si

Download or read book Blockchain Technology and Application written by Xueming Si and published by Springer Nature. This book was released on 2020-02-13 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second CCF China Blockchain Conference, CBCC 2019, held in Chengdu, China, in October 2019. The 16 revised full papers presented were carefully reviewed and selected from 112 submissions. The papers deal with research results and development activities in all aspects of blockchain science and technology.

Monte Carlo Methods in Finance

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Publisher : John Wiley & Sons
ISBN 13 : 047149741X
Total Pages : 245 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Monte Carlo Methods in Finance by : Peter Jäckel

Download or read book Monte Carlo Methods in Finance written by Peter Jäckel and published by John Wiley & Sons. This book was released on 2002-04-03 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable resource for quantitative analysts who need to run models that assist in option pricing and risk management. This concise, practical hands on guide to Monte Carlo simulation introduces standard and advanced methods to the increasing complexity of derivatives portfolios. Ranging from pricing more complex derivatives, such as American and Asian options, to measuring Value at Risk, or modelling complex market dynamics, simulation is the only method general enough to capture the complexity and Monte Carlo simulation is the best pricing and risk management method available. The book is packed with numerous examples using real world data and is supplied with a CD to aid in the use of the examples.

Sustainability of the Theories Developed by Mathematical Finance and Mathematical Economics with Applications

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Publisher : MDPI
ISBN 13 : 3039365312
Total Pages : 382 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Sustainability of the Theories Developed by Mathematical Finance and Mathematical Economics with Applications by : Wing-Keung Wong

Download or read book Sustainability of the Theories Developed by Mathematical Finance and Mathematical Economics with Applications written by Wing-Keung Wong and published by MDPI. This book was released on 2020-12-15 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply finance, and corporate finance. The topics in economics including economic growth, income poverty, and political economics.

Monte Carlo

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Publisher : Springer Science & Business Media
ISBN 13 : 1475725531
Total Pages : 721 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Monte Carlo by : George Fishman

Download or read book Monte Carlo written by George Fishman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: Apart from a thorough exploration of all the important concepts, this volume includes over 75 algorithms, ready for putting into practice. The book also contains numerous hands-on implementations of selected algorithms to demonstrate applications in realistic settings. Readers are assumed to have a sound understanding of calculus, introductory matrix analysis, and intermediate statistics, but otherwise the book is self-contained. Suitable for graduates and undergraduates in mathematics and engineering, in particular operations research, statistics, and computer science.

Interest Rate Models - Theory and Practice

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Publisher : Springer Science & Business Media
ISBN 13 : 354034604X
Total Pages : 1016 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Interest Rate Models - Theory and Practice by : Damiano Brigo

Download or read book Interest Rate Models - Theory and Practice written by Damiano Brigo and published by Springer Science & Business Media. This book was released on 2007-09-26 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, with an analysis of the impact of the swaptions interpolation technique and of the exogenous instantaneous correlation on the calibration outputs. A discussion of historical estimation of the instantaneous correlation matrix and of rank reduction has been added, and a LIBOR-model consistent swaption-volatility interpolation technique has been introduced. The old sections devoted to the smile issue in the LIBOR market model have been enlarged into a new chapter. New sections on local-volatility dynamics, and on stochastic volatility models have been added, with a thorough treatment of the recently developed uncertain-volatility approach. Examples of calibrations to real market data are now considered. The fast-growing interest for hybrid products has led to a new chapter. A special focus here is devoted to the pricing of inflation-linked derivatives. The three final new chapters of this second edition are devoted to credit. Since Credit Derivatives are increasingly fundamental, and since in the reduced-form modeling framework much of the technique involved is analogous to interest-rate modeling, Credit Derivatives -- mostly Credit Default Swaps (CDS), CDS Options and Constant Maturity CDS - are discussed, building on the basic short rate-models and market models introduced earlier for the default-free market. Counterparty risk in interest rate payoff valuation is also considered, motivated by the recent Basel II framework developments.

The SABR/LIBOR Market Model

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Publisher : John Wiley & Sons
ISBN 13 : 1119995639
Total Pages : 308 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis The SABR/LIBOR Market Model by : Riccardo Rebonato

Download or read book The SABR/LIBOR Market Model written by Riccardo Rebonato and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a major innovation in the interest rate space. It explains a financially motivated extension of the LIBOR Market model which accurately reproduces the prices for plain vanilla hedging instruments (swaptions and caplets) of all strikes and maturities produced by the SABR model. The authors show how to accurately recover the whole of the SABR smile surface using their extension of the LIBOR market model. This is not just a new model, this is a new way of option pricing that takes into account the need to calibrate as accurately as possible to the plain vanilla reference hedging instruments and the need to obtain prices and hedges in reasonable time whilst reproducing a realistic future evolution of the smile surface. It removes the hard choice between accuracy and time because the framework that the authors provide reproduces today's market prices of plain vanilla options almost exactly and simultaneously gives a reasonable future evolution for the smile surface. The authors take the SABR model as the starting point for their extension of the LMM because it is a good model for European options. The problem, however with SABR is that it treats each European option in isolation and the processes for the various underlyings (forward and swap rates) do not talk to each other so it isn't obvious how to relate these processes into the dynamics of the whole yield curve. With this new model, the authors bring the dynamics of the various forward rates and stochastic volatilities under a single umbrella. To ensure the absence of arbitrage they derive drift adjustments to be applied to both the forward rates and their volatilities. When this is completed, complex derivatives that depend on the joint realisation of all relevant forward rates can now be priced. Contents THE THEORETICAL SET-UP The Libor Market model The SABR Model The LMM-SABR Model IMPLEMENTATION AND CALIBRATION Calibrating the LMM-SABR model to Market Caplet prices Calibrating the LMM/SABR model to Market Swaption Prices Calibrating the Correlation Structure EMPIRICAL EVIDENCE The Empirical problem Estimating the volatility of the forward rates Estimating the correlation structure Estimating the volatility of the volatility HEDGING Hedging the Volatility Structure Hedging the Correlation Structure Hedging in conditions of market stress

Efficient Methods for Valuing Interest Rate Derivatives

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Publisher : Springer Science & Business Media
ISBN 13 : 9781852333041
Total Pages : 206 pages
Book Rating : 4.3/5 (33 download)

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Book Synopsis Efficient Methods for Valuing Interest Rate Derivatives by : Antoon Pelsser

Download or read book Efficient Methods for Valuing Interest Rate Derivatives written by Antoon Pelsser and published by Springer Science & Business Media. This book was released on 2000-07-31 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the models that can be used for valuing and managing interest rate derivatives. Split into two parts, the first discusses and compares the traditional models, such as spot- and forward-rate models, while the second concentrates on the more recently developed Market models. Unlike most of his competitors, the author's focus is not only on the mathematics: Antoon Pelsser draws on his experience in industry to explore a host of practical issues.

Simulation Modeling and Arena

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Publisher : John Wiley & Sons
ISBN 13 : 111885814X
Total Pages : 746 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Simulation Modeling and Arena by : Manuel D. Rossetti

Download or read book Simulation Modeling and Arena written by Manuel D. Rossetti and published by John Wiley & Sons. This book was released on 2015-05-26 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizes a hands-on approach to learning statistical analysis and model building through the use of comprehensive examples, problems sets, and software applications With a unique blend of theory and applications, Simulation Modeling and Arena®, Second Edition integrates coverage of statistical analysis and model building to emphasize the importance of both topics in simulation. Featuring introductory coverage on how simulation works and why it matters, the Second Edition expands coverage on static simulation and the applications of spreadsheets to perform simulation. The new edition also introduces the use of the open source statistical package, R, for both performing statistical testing and fitting distributions. In addition, the models are presented in a clear and precise pseudo-code form, which aids in understanding and model communication. Simulation Modeling and Arena, Second Edition also features: Updated coverage of necessary statistical modeling concepts such as confidence interval construction, hypothesis testing, and parameter estimation Additional examples of the simulation clock within discrete event simulation modeling involving the mechanics of time advancement by hand simulation A guide to the Arena Run Controller, which features a debugging scenario New homework problems that cover a wider range of engineering applications in transportation, logistics, healthcare, and computer science A related website with an Instructor’s Solutions Manual, PowerPoint® slides, test bank questions, and data sets for each chapter Simulation Modeling and Arena, Second Edition is an ideal textbook for upper-undergraduate and graduate courses in modeling and simulation within statistics, mathematics, industrial and civil engineering, construction management, business, computer science, and other departments where simulation is practiced. The book is also an excellent reference for professionals interested in mathematical modeling, simulation, and Arena.

Stochastic Analysis for Finance with Simulations

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Publisher : Springer
ISBN 13 : 3319255894
Total Pages : 660 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Stochastic Analysis for Finance with Simulations by : Geon Ho Choe

Download or read book Stochastic Analysis for Finance with Simulations written by Geon Ho Choe and published by Springer. This book was released on 2016-07-14 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to stochastic analysis and quantitative finance; it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models. Also included are simulations of stochastic phenomena, numerical solutions of the Black–Scholes–Merton equation, Monte Carlo methods, and time series. Basic measure theory is used as a tool to describe probabilistic phenomena. The level of familiarity with computer programming is kept to a minimum. To make the book accessible to a wider audience, some background mathematical facts are included in the first part of the book and also in the appendices. This work attempts to bridge the gap between mathematics and finance by using diagrams, graphs and simulations in addition to rigorous theoretical exposition. Simulations are not only used as the computational method in quantitative finance, but they can also facilitate an intuitive and deeper understanding of theoretical concepts. Stochastic Analysis for Finance with Simulations is designed for readers who want to have a deeper understanding of the delicate theory of quantitative finance by doing computer simulations in addition to theoretical study. It will particularly appeal to advanced undergraduate and graduate students in mathematics and business, but not excluding practitioners in finance industry.

Handbook of Simulation

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Publisher : John Wiley & Sons
ISBN 13 : 9780471134039
Total Pages : 868 pages
Book Rating : 4.1/5 (34 download)

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Book Synopsis Handbook of Simulation by : Jerry Banks

Download or read book Handbook of Simulation written by Jerry Banks and published by John Wiley & Sons. This book was released on 1998-09-14 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch ist eine unschätzbare Informationsquelle für alle Ingenieure, Designer, Manager und Techniker bei Entwicklung, Studium und Anwendung einer großen Vielzahl von Simulationstechniken. Es vereint die Arbeit internationaler Simulationsexperten aus Industrie und Forschung. Alle Aspekte der Simulation werden in diesem umfangreichen Nachschlagewerk abgedeckt. Der Leser wird vertraut gemacht mit den verschiedenen Techniken von Industriesimulationen sowie mit Einsatz, Anwendungen und Entwicklungen. Neueste Fortschritte wie z.B. objektorientierte Programmierung werden ebenso behandelt wie Richtlinien für den erfolgreichen Umgang mit simulationsgestützten Prozessen. Auch gibt es eine Liste mit den wichtigsten Vertriebs- und Zulieferadressen. (10/98)

Modelling Financial Derivatives with MATHEMATICA ®

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Publisher : Cambridge University Press
ISBN 13 : 9780521592338
Total Pages : 570 pages
Book Rating : 4.5/5 (923 download)

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Book Synopsis Modelling Financial Derivatives with MATHEMATICA ® by : William T. Shaw

Download or read book Modelling Financial Derivatives with MATHEMATICA ® written by William T. Shaw and published by Cambridge University Press. This book was released on 1998-12-10 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD plus book for financial modelling, requires Mathematica 3 or 2.2; runs on most platforms.

Monte Carlo Methods in Financial Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 0387216170
Total Pages : 603 pages
Book Rating : 4.3/5 (872 download)

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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

Modeling the Term Structure of Interest Rates

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Publisher : Now Publishers Inc
ISBN 13 : 1601983727
Total Pages : 171 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Modeling the Term Structure of Interest Rates by : Rajna Gibson

Download or read book Modeling the Term Structure of Interest Rates written by Rajna Gibson and published by Now Publishers Inc. This book was released on 2010 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.

The VAR Implementation Handbook

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Publisher : McGraw Hill Professional
ISBN 13 : 0071615148
Total Pages : 562 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis The VAR Implementation Handbook by : Greg N. Gregoriou

Download or read book The VAR Implementation Handbook written by Greg N. Gregoriou and published by McGraw Hill Professional. This book was released on 2009-03-15 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: [flap] For investors, risk is about the odds of losing money, and Value at Risk (VaR) is grounded in that common-sense fact. VAR modeling answers, “What is my worst-case scenario?” and “How much could I lose in a really bad month?” However, there has not been an effective guidebook available to help investors and financial managers make their own VaR calculations--until now. The VaR Implementation Handbook is a hands-on road map for professionals who have a solid background in VaR but need the critical strategies, models, and insights to apply their knowledge in the real world. Heralded as “the new science of risk management,” VaR has emerged as the dominant methodology used by financial institutions and corporate treasuries worldwide for estimating precisely how much money is at risk each day in the financial markets. The VaR Implementation Handbook picks up where other books on the subject leave off and demonstrates how, with proper implementation, VaR can be a valuable tool for assessing risk in a variety of areas-from equity to structured and operational products. This complete guide thoroughly covers the three major areas of VaR implementation--measuring, modeling risk, and managing--in three convenient sections. Savvy professionals will keep this handbook at their fingertips for its: Reliable advice from 40 recognized experts working in universities and financial institutions around the world Effective methods and measures to ensure that implemented VaR models maintain optimal performance Up-to-date coverage on newly exposed areas of volatility, including derivatives Real-world prosperity requires making informed financial decisions. The VaR Implementation Handbook is a step-by-step playbook to getting the most out of VaR modeling so you can successfully manage financial risk.