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Nonparametric Modelling And Estimation Of Stochastic Volatility


Nonparametric Modelling And Estimation Of Stochastic Volatility
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Nonparametric Modelling And Estimation Of Stochastic Volatility


Nonparametric Modelling And Estimation Of Stochastic Volatility
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Author : Andreas Dürkes
language : en
Publisher:
Release Date : 2006

Nonparametric Modelling And Estimation Of Stochastic Volatility written by Andreas Dürkes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.




Nonparametric Estimation Of Stochastic Volatility Models


Nonparametric Estimation Of Stochastic Volatility Models
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Author : Steven Cannon Hogan
language : en
Publisher:
Release Date : 2000

Nonparametric Estimation Of Stochastic Volatility Models written by Steven Cannon Hogan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.




Nonparametric Estimation In A Stochastic Volatility Model


Nonparametric Estimation In A Stochastic Volatility Model
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Author : Jürgen Franke
language : en
Publisher:
Release Date : 1998

Nonparametric Estimation In A Stochastic Volatility Model written by Jürgen Franke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.




Estimation Of Stochastic Volatility Models With Diagnostics


Estimation Of Stochastic Volatility Models With Diagnostics
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Author : A. Ronald Gallant
language : en
Publisher:
Release Date : 2008

Estimation Of Stochastic Volatility Models With Diagnostics written by A. Ronald Gallant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.


Efficient Method of Moments (EMM) is used to fit the standard stochastic volatility model and various extensions to several daily financial time series. EMM matches to the score of a model determined by data analysis called the score generator. Discrepancies reveal characteristics of data that stochastic volatility models cannot approximate. The two score generators employed here are "Semiparametric ARCH" and "Nonlinear Nonparametric". With the first, the standard model is rejected, although some extensions are accepted. With the second, all versions are rejected. The extensions required for an adequate fit are so elaborate that nonparametric specifications are probably more convenient.



Nonparametric Estimation In Models With Levy Type Jumps And Stochastic Volatility


Nonparametric Estimation In Models With Levy Type Jumps And Stochastic Volatility
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Author : Cecilia Mancini
language : it
Publisher:
Release Date : 2005

Nonparametric Estimation In Models With Levy Type Jumps And Stochastic Volatility written by Cecilia Mancini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Nonparametric Estimation In Models With L Vy Type Jumps And Stochastic Volatility


Nonparametric Estimation In Models With L Vy Type Jumps And Stochastic Volatility
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Author : Cecilia Mancini
language : en
Publisher:
Release Date : 2005

Nonparametric Estimation In Models With L Vy Type Jumps And Stochastic Volatility written by Cecilia Mancini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Nonparametric Estimation In Model With Levy Type Jumps And Stochastic Volatility


Nonparametric Estimation In Model With Levy Type Jumps And Stochastic Volatility
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Author : Cecilia Mancini
language : en
Publisher:
Release Date : 2005

Nonparametric Estimation In Model With Levy Type Jumps And Stochastic Volatility written by Cecilia Mancini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Handbook Of Volatility Models And Their Applications


Handbook Of Volatility Models And Their Applications
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Author : Luc Bauwens
language : en
Publisher: John Wiley & Sons
Release Date : 2012-03-22

Handbook Of Volatility Models And Their Applications written by Luc Bauwens and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-22 with Business & Economics categories.


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.



The Estimation Of Stochastic Models In Finance With Volatility And Jump Intensity


The Estimation Of Stochastic Models In Finance With Volatility And Jump Intensity
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Author : David Edward A. Wilson
language : en
Publisher:
Release Date : 2018

The Estimation Of Stochastic Models In Finance With Volatility And Jump Intensity written by David Edward A. Wilson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Finance categories.


This thesis covers the parametric estimation of models with stochastic volatility, jumps, and stochastic jump intensity, by FFT. The first primary contribution is a parametric minimum relative entropy optimal Q-measure for affine stochastic volatility jump-diffusion (ASVJD). Other attempts in the literature have minimized the relative entropy of Q given P either by nonparametric methods, or by numerical PDEs. These methods are often difficult to implement. We construct the relative entropy of Q given P from the Lebesgue densities under P and Q, respectively, where these can be retrieved by FFT from the closed form log-price characteristic function of any ASVJD model. We proceed by first estimating the fixed parameters of the P-measure by the Approximate Maximum Likelihood (AML) method of Bates (2006), and prove that the integrability conditions required for Fourier inversion are satisfied. Then by using a structure preserving parametric model under the Q-measure, we minimize the relative entropy of Q given P with respect to the model parameters under Q. AML can be used to estimate P within the ASVJD class. Since, AML is much faster than MCMC, our main supporting contributions are to the theory of AML. The second main contribution of this thesis is a non-affine model for time changed jumps with stochastic jump intensity called the Leveraged Jump Intensity (LJI) model. The jump intensity in the LJI model is modeled by the CIR process. Leverage occurs in the LJI model, since the Brownian motion driving the CIR process also appears in the log-price with a negative coefficient. Models with a leverage effect of this type are usually affine, but model the intensity with an Ornstein-Uhlenbeck process. The conditional characteristic function of the LJI log-price given the intensity is known in closed form. Thus, we price LJI call options by conditional Monte Carlo, using the Carr and Madan (1999) FFT formula for conditional pricing.



Parameter Estimation In Stochastic Volatility Models


Parameter Estimation In Stochastic Volatility Models
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Author : Jaya P. N. Bishwal
language : en
Publisher: Springer Nature
Release Date : 2022-08-06

Parameter Estimation In Stochastic Volatility Models written by Jaya P. N. Bishwal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-06 with Mathematics categories.


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.