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Author: Alex Papanicolaou Publisher: ISBN: Category : Languages : en Pages : 48
Book Description
We provide a simple and easy to use goodness-of-fit test for the misspecification of the volatility function in diffusion models. The test uses power variations constructed as functionals of discretely observed diffusion processes. We introduce an orthogonality condition which stabilizes the limit law in the presence of parameter estimation and avoids the necessity for a bootstrap procedure that reduces performance and leads to complications associated with the structure of the diffusion process. The test has good finite sample performance as we demonstrate in numerical simulations.
Author: Alex Papanicolaou Publisher: ISBN: Category : Languages : en Pages : 48
Book Description
We provide a simple and easy to use goodness-of-fit test for the misspecification of the volatility function in diffusion models. The test uses power variations constructed as functionals of discretely observed diffusion processes. We introduce an orthogonality condition which stabilizes the limit law in the presence of parameter estimation and avoids the necessity for a bootstrap procedure that reduces performance and leads to complications associated with the structure of the diffusion process. The test has good finite sample performance as we demonstrate in numerical simulations.
Author: Michiel de Pooter Publisher: Rozenberg Publishers ISBN: 9051709153 Category : Languages : en Pages : 286
Book Description
This dissertation consists of a collection of studies on two areas in quantitative finance: asset return volatility and the term structure of interest rates. The first part of this dissertation offers contributions to the literature on how to test for sudden changes in unconditional volatility, on modelling realized volatility and on the choice of optimal sampling frequencies for intraday returns. The emphasis in the second part of this dissertation is on the term structure of interest rates.
Author: Jaya P. N. Bishwal Publisher: Springer Nature ISBN: 3031038614 Category : Mathematics Languages : en Pages : 634
Book Description
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: Stephen Satchell Publisher: Elsevier ISBN: 0080471420 Category : Business & Economics Languages : en Pages : 428
Book Description
Forecasting Volatility in the Financial Markets, Third Edition assumes that the reader has a firm grounding in the key principles and methods of understanding volatility measurement and builds on that knowledge to detail cutting-edge modelling and forecasting techniques. It provides a survey of ways to measure risk and define the different models of volatility and return. Editors John Knight and Stephen Satchell have brought together an impressive array of contributors who present research from their area of specialization related to volatility forecasting. Readers with an understanding of volatility measures and risk management strategies will benefit from this collection of up-to-date chapters on the latest techniques in forecasting volatility. Chapters new to this third edition:* What good is a volatility model? Engle and Patton* Applications for portfolio variety Dan diBartolomeo* A comparison of the properties of realized variance for the FTSE 100 and FTSE 250 equity indices Rob Cornish* Volatility modeling and forecasting in finance Xiao and Aydemir* An investigation of the relative performance of GARCH models versus simple rules in forecasting volatility Thomas A. Silvey Leading thinkers present newest research on volatility forecasting International authors cover a broad array of subjects related to volatility forecasting Assumes basic knowledge of volatility, financial mathematics, and modelling
Author: Yue Kuen Kwok Publisher: CRC Press ISBN: 1000584275 Category : Mathematics Languages : en Pages : 402
Book Description
Pricing Models of Volatility Products and Exotic Variance Derivatives summarizes most of the recent research results in pricing models of derivatives on discrete realized variance and VIX. The book begins with the presentation of volatility trading and uses of variance derivatives. It then moves on to discuss the robust replication strategy of variance swaps using portfolio of options, which is one of the major milestones in pricing theory of variance derivatives. The replication procedure provides the theoretical foundation of the construction of VIX. This book provides sound arguments for formulating the pricing models of variance derivatives and establishes formal proofs of various technical results. Illustrative numerical examples are included to show accuracy and effectiveness of analytic and approximation methods. Features Useful for practitioners and quants in the financial industry who need to make choices between various pricing models of variance derivatives Fabulous resource for researchers interested in pricing and hedging issues of variance derivatives and VIX products Can be used as a university textbook in a topic course on pricing variance derivatives
Author: G.P. Dwyer Publisher: Springer Science & Business Media ISBN: 9401578818 Category : Business & Economics Languages : en Pages : 206
Book Description
Gerald P. Dwyer, Jr. and R. W. Hafer The articles and commentaries included in this volume were presented at the Federal Reserve Bank of St. Louis' thirteenth annual economic policy conference, held on October 21-22, 1988. The conference focused on the behavior of asset market prices, a topic of increasing interest to both the popular press and to academic journals as the bull market of the 1980s continued. The events that transpired during October, 1987, both in the United States and abroad, provide an informative setting to test alter native theories. In assembling the papers presented during this conference, we asked the authors to explore the issue of asset pricing and financial market behavior from several vantages. Was the crash evidence of the bursting of a speculative bubble? Do we know enough about the work ings of asset markets to hazard an intelligent guess why they dropped so dramatically in such a brief time? Do we know enough to propose regulatory changes that will prevent any such occurrence in the future, or do we want to even if we can? We think that the articles and commentaries contained in this volume provide significant insight to inform and to answer such questions. The article by Behzad Diba surveys existing theoretical and empirical research on rational bubbles in asset prices.
Author: Alex Papanicolaou
Author: Alex Papanicolaou
Author: Annastiina Silvennoinen
Author: Aris Spanos
Author: Alaa Abi Morshed
Author: Michiel de Pooter
Author: Jaya P. N. Bishwal
Author: Stephen Satchell
Author: Yue Kuen Kwok
Author: Antoine Petrus Cornelius van der Ploeg
Author: G.P. Dwyer