Uncertain Volatility Models

Author : Robert Buff
Publisher : Springer Science & Business Media
ISBN 13 : 3642563236
Total Pages : 246 pages
Book Rating : 4.32/5 ( download)

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Download or read book Uncertain Volatility Models written by Robert Buff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the only books to describe uncertain volatility models in mathematical finance and their computer implementation for portfolios of vanilla, barrier and American options in equity and FX markets. Uncertain volatility models place subjective constraints on the volatility of the stochastic process of the underlying asset and evaluate option portfolios under worst- and best-case scenarios. This book, which is bundled with software, is aimed at graduate students, researchers and practitioners who wish to study advanced aspects of volatility risk in portfolios of vanilla and exotic options. The reader is assumed to be familiar with arbitrage pricing theory.

Author : Lorenzo Bergomi
Publisher : CRC Press
ISBN 13 : 1482244071
Total Pages : 520 pages
Book Rating : 4.76/5 ( download)

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Download or read book Stochastic Volatility Modeling written by Lorenzo Bergomi and published by CRC Press. This book was released on 2015-12-16 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Packed with insights, Lorenzo Bergomi's Stochastic Volatility Modeling explains how stochastic volatility is used to address issues arising in the modeling of derivatives, including:Which trading issues do we tackle with stochastic volatility? How do we design models and assess their relevance? How do we tell which models are usable and when does c

Author : Changhong He
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.26/5 ( download)

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Download or read book Estimation of Volatilities Under a Merton's Jump-diffusion Model and an Uncertain Volatility Model written by Changhong He and published by . This book was released on 2005 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Andrew C. Harvey
Publisher : Cambridge University Press
ISBN 13 : 1107328780
Total Pages : 281 pages
Book Rating : 4.85/5 ( download)

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Download or read book Dynamic Models for Volatility and Heavy Tails written by Andrew C. Harvey and published by Cambridge University Press. This book was released on 2013-04-22 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volatility of financial returns changes over time and, for the last thirty years, Generalized Autoregressive Conditional Heteroscedasticity (GARCH) models have provided the principal means of analyzing, modeling and monitoring such changes. Taking into account that financial returns typically exhibit heavy tails - that is, extreme values can occur from time to time - Andrew Harvey's new book shows how a small but radical change in the way GARCH models are formulated leads to a resolution of many of the theoretical problems inherent in the statistical theory. The approach can also be applied to other aspects of volatility. The more general class of Dynamic Conditional Score models extends to robust modeling of outliers in the levels of time series and to the treatment of time-varying relationships. The statistical theory draws on basic principles of maximum likelihood estimation and, by doing so, leads to an elegant and unified treatment of nonlinear time-series modeling.

Author : Julien Guyon
Publisher : CRC Press
ISBN 13 : 1466570342
Total Pages : 480 pages
Book Rating : 4.44/5 ( download)

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Download or read book Nonlinear Option Pricing written by Julien Guyon and published by CRC Press. This book was released on 2013-12-19 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Tools to Solve Your Option Pricing ProblemsFor nonlinear PDEs encountered in quantitative finance, advanced probabilistic methods are needed to address dimensionality issues. Written by two leaders in quantitative research-including Risk magazine's 2013 Quant of the Year-Nonlinear Option Pricing compares various numerical methods for solving hi

Author : Jean-Pierre Fouque
Publisher : Cambridge University Press
ISBN 13 : 9780521791632
Total Pages : 222 pages
Book Rating : 4.34/5 ( download)

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Download or read book Derivatives in Financial Markets with Stochastic Volatility written by Jean-Pierre Fouque and published by Cambridge University Press. This book was released on 2000-07-03 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, addresses pricing and hedging derivative securities in uncertain and changing market volatility.

Author : Luc Bauwens
Publisher : John Wiley & Sons
ISBN 13 : 1118272056
Total Pages : 566 pages
Book Rating : 4.53/5 ( download)

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Download or read book Handbook of Volatility Models and Their Applications written by Luc Bauwens and published by John Wiley & Sons. This book was released on 2012-03-22 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete guide to the theory and practice of volatility models in financial engineering Volatility has become a hot topic in this era of instant communications, spawning a great deal of research in empirical finance and time series econometrics. Providing an overview of the most recent advances, Handbook of Volatility Models and Their Applications explores key concepts and topics essential for modeling the volatility of financial time series, both univariate and multivariate, parametric and non-parametric, high-frequency and low-frequency. Featuring contributions from international experts in the field, the book features numerous examples and applications from real-world projects and cutting-edge research, showing step by step how to use various methods accurately and efficiently when assessing volatility rates. Following a comprehensive introduction to the topic, readers are provided with three distinct sections that unify the statistical and practical aspects of volatility: Autoregressive Conditional Heteroskedasticity and Stochastic Volatility presents ARCH and stochastic volatility models, with a focus on recent research topics including mean, volatility, and skewness spillovers in equity markets Other Models and Methods presents alternative approaches, such as multiplicative error models, nonparametric and semi-parametric models, and copula-based models of (co)volatilities Realized Volatility explores issues of the measurement of volatility by realized variances and covariances, guiding readers on how to successfully model and forecast these measures Handbook of Volatility Models and Their Applications is an essential reference for academics and practitioners in finance, business, and econometrics who work with volatility models in their everyday work. The book also serves as a supplement for courses on risk management and volatility at the upper-undergraduate and graduate levels.

Author : B.R. Munier
Publisher : IOS Press
ISBN 13 : 1614990379
Total Pages : 256 pages
Book Rating : 4.76/5 ( download)

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Download or read book Global Uncertainty and the Volatility of Agricultural Commodities Prices written by B.R. Munier and published by IOS Press. This book was released on 2012-04-24 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent global financial crisis exposed the serious limitations of existing economic and financial models. Not only did macro models fail to predict the crisis, they seemed incapable of explaining what was happening to the economy. Policymakers felt abandoned by the conventional tools of the now obsolete Washington consensus and the World Trade Organization’s oversimplified faith in free markets.The traditional models for agricultural commodities have so far failed to take into account the uncertain character of the global agricultural economy and its ferocious consequences in food price volatility, the worst in 300 years, yielding hunger riots throughout the world. This book explores the elements which could help to close this fundamental modeling gap. To what extent should traditional models be questioned regarding agricultural commodities? Are prices on these markets foreseeable? Can their evolution be either predicted or convincingly simulated, and if so, by which methods and models? Presenting contributions from acknowledged experts from several countries and backgrounds – professors at major international universities or researchers within specialized international organizations – the book concentrates on four issues: the role of expectations and capacity of prediction; policy issues related to development strategies and food security; the role of hoarding and speculation and finally, global modeling methods. The book offers a renewed wisdom on some of the core issues in the world economy today and puts forward important innovations in analyzing these core issues, among which the modular modeling design, the Momagri model being a seminal example of it. Reading this book should inspire fruitful revisions in policy-making to improve the welfare of populations worldwide.

Author : Jaya P. N. Bishwal
Publisher : Springer Nature
ISBN 13 : 3031038614
Total Pages : 634 pages
Book Rating : 4.17/5 ( download)

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Download or read book Parameter Estimation in Stochastic Volatility Models written by Jaya P. N. Bishwal and published by Springer Nature. This book was released on 2022-08-06 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops alternative methods to estimate the unknown parameters in stochastic volatility models, offering a new approach to test model accuracy. While there is ample research to document stochastic differential equation models driven by Brownian motion based on discrete observations of the underlying diffusion process, these traditional methods often fail to estimate the unknown parameters in the unobserved volatility processes. This text studies the second order rate of weak convergence to normality to obtain refined inference results like confidence interval, as well as nontraditional continuous time stochastic volatility models driven by fractional Levy processes. By incorporating jumps and long memory into the volatility process, these new methods will help better predict option pricing and stock market crash risk. Some simulation algorithms for numerical experiments are provided.

Author : Samuel N. Cohen
Publisher : Springer Nature
ISBN 13 : 3030222853
Total Pages : 300 pages
Book Rating : 4.57/5 ( download)

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Download or read book Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications written by Samuel N. Cohen and published by Springer Nature. This book was released on 2019-08-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.