GARCH-like Models with Dynamic Crash Probabilities

Koether, Paul

Published by VDM Verlag, 2008
ISBN 10: 3639014405 / ISBN 13: 9783639014402
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We work in the setting of time series of financial returns.Our starting point are the GARCH models, which are very common in practice.We introduce the possibility of having crashes in such GARCH models.A crash will be modeled by drawing innovations from a distribution with much mass on extremely negative events, while in normal times the innovations will be drawn from a normal distribution.The probability of a crash is modeled to be time dependent, depending on the past of the observed time series and/or exogenous variables. The aim is a splitting of risk into normal risk coming mainly from the GARCH dynamic and extreme event risk coming from the modeled crashes. For the ARCH case we formulate (quasi) maximum likelihood estimators and can derive conditions for consistency and asymptotic normality of the parameter estimates.On the practical side we look for the outcome of estimating models with genuine GARCH dynamic and compare the result toclassical GARCH models. We apply the models to Value at Risk estimation and see that in comparison to the classical modelsmany of ours seem to work better although we chose the crash distributions quite heuristically. Bookseller Inventory #

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Synopsis: We work in the setting of time series of financial returns.Our starting point are the GARCH models, which are very common in practice.We introduce the possibility of having crashes in such GARCH models.A crash will be modeled by drawing innovations from a distribution with much mass on extremely negative events, while in normal times the innovations will be drawn from a normal distribution.The probability of a crash is modeled to be time dependent, depending on the past of the observed time series and/or exogenous variables. The aim is a splitting of risk into normal risk coming mainly from the GARCH dynamic and extreme event risk coming from the modeled crashes. For the ARCH case we formulate (quasi) maximum likelihood estimators and can derive conditions for consistency and asymptotic normality of the parameter estimates.On the practical side we look for the outcome of estimating models with genuine GARCH dynamic and compare the result toclassical GARCH models. We apply the models to Value at Risk estimation and see that in comparison to the classical modelsmany of ours seem to work better although we chose the crash distributions quite heuristically.

About the Author: Dr.Paul Koether, Dipl.Math.: Studied Mathematics and Economics at the Albert-Ludwigs University, Freiburg and McMaster University, Hamilton, PhD Studies at the TU Kaiserslautern

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Title: GARCH-like Models with Dynamic Crash ...
Publisher: VDM Verlag
Publication Date: 2008
Binding: Soft cover
Book Condition: New

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Book Description Condition: New. Publisher/Verlag: VDM Verlag Dr. Müller | A Parametric Approach for Modelling Extreme Events | We work in the setting of time series of financial returns.Our starting point are the GARCH models, which are very common in practice.We introduce the possibility of having crashes in such GARCH models.A crash will be modeled by drawing innovations from a distribution with much mass on extremely negative events, while in normal times the innovations will be drawn from a normal distribution.The probability of a crash is modeled to be time dependent, depending on the past of the observed time series and/or exogenous variables. The aim is a splitting of risk into normal risk coming mainly from the GARCH dynamic and extreme event risk coming from the modeled crashes.For the ARCH case we formulate (quasi) maximum likelihood estimators and can derive conditions for consistency and asymptotic normality of the parameter estimates.On the practical side we look for the outcome of estimating models with genuine GARCH dynamic and compare the result toclassical GARCH models. We apply the models to Value at Risk estimation and see that in comparison to the classical modelsmany of ours seem to work better although we chose the crash distributions quite heuristically. | Format: Paperback | Language/Sprache: english | 245 gr | 176 pp. Seller Inventory # K9783639014402

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Book Description VDM Verlag Mai 2008, 2008. Taschenbuch. Condition: Neu. Neuware - We work in the setting of time series of financial returns.Our starting point are the GARCH models, which are very common in practice.We introduce the possibility of having crashes in such GARCH models.A crash will be modeled by drawing innovations from a distribution with much mass on extremely negative events, while in normal times the innovations will be drawn from a normal distribution.The probability of a crash is modeled to be time dependent, depending on the past of the observed time series and/or exogenous variables. The aim is a splitting of risk into normal risk coming mainly from the GARCH dynamic and extreme event risk coming from the modeled crashes.For the ARCH case we formulate (quasi) maximum likelihood estimators and can derive conditions for consistency and asymptotic normality of the parameter estimates.On the practical side we look for the outcome of estimating models with genuine GARCH dynamic and compare the result toclassical GARCH models. We apply the models to Value at Risk estimation and see that in comparison to the classical modelsmany of ours seem to work better although we chose the crash distributions quite heuristically. 176 pp. Englisch. Seller Inventory # 9783639014402

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Book Description VDM Verlag Mai 2008, 2008. Taschenbuch. Condition: Neu. Neuware - We work in the setting of time series of financial returns.Our starting point are the GARCH models, which are very common in practice.We introduce the possibility of having crashes in such GARCH models.A crash will be modeled by drawing innovations from a distribution with much mass on extremely negative events, while in normal times the innovations will be drawn from a normal distribution.The probability of a crash is modeled to be time dependent, depending on the past of the observed time series and/or exogenous variables. The aim is a splitting of risk into normal risk coming mainly from the GARCH dynamic and extreme event risk coming from the modeled crashes.For the ARCH case we formulate (quasi) maximum likelihood estimators and can derive conditions for consistency and asymptotic normality of the parameter estimates.On the practical side we look for the outcome of estimating models with genuine GARCH dynamic and compare the result toclassical GARCH models. We apply the models to Value at Risk estimation and see that in comparison to the classical modelsmany of ours seem to work better although we chose the crash distributions quite heuristically. 176 pp. Englisch. Seller Inventory # 9783639014402

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Book Description VDM Verlag Dr. Mueller e.K., Germany, 2008. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.We work in the setting of time series of financial returns. Our starting point are the GARCH models, which are very common in practice. We introduce the possibility of having crashes in such GARCH models. A crash will be modeled by drawing innovations from a distribution with much mass on extremely negative events, while in normal times the innovations will be drawn from a normal distribution. The probability of a crash is modeled to be time dependent, depending on the past of the observed time series and/or exogenous variables. The aim is a splitting of risk into normal risk coming mainly from the GARCH dynamic and extreme event risk coming from the modeled crashes. For the ARCH case we formulate (quasi) maximum likelihood estimators and can derive conditions for consistency and asymptotic normality of the parameter estimates. On the practical side we look for the outcome of estimating models with genuine GARCH dynamic and compare the result to classical GARCH models. We apply the models to Value at Risk estimation and see that in comparison to the classical models many of ours seem to work better although we chose the crash distributions quite heuristically. Seller Inventory # AAV9783639014402

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Book Description VDM Verlag. Paperback. Condition: New. 172 pages. Dimensions: 8.6in. x 5.9in. x 0.5in.We work in the setting of time series of financial returns. Our starting point are the GARCH models, which are very common in practice. We introduce the possibility of having crashes in such GARCH models. A crash will be modeled by drawing innovations from a distribution with much mass on extremely negative events, while in normal times the innovations will be drawn from a normal distribution. The probability of a crash is modeled to be time dependent, depending on the past of the observed time series andor exogenous variables. The aim is a splitting of risk into normal risk coming mainly from the GARCH dynamic and extreme event risk coming from the modeled crashes. For the ARCH case we formulate (quasi) maximum likelihood estimators and can derive conditions for consistency and asymptotic normality of the parameter estimates. On the practical side we look for the outcome of estimating models with genuine GARCH dynamic and compare the result toclassical GARCH models. We apply the models to Value at Risk estimation and see that in comparison to the classical modelsmany of ours seem to work better although we chose the crash distributions quite heuristically. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783639014402

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