Книга GARCH-like Models with Dynamic Crash Probabilities Paul Koether

GARCH-like Models with Dynamic Crash Probabilities

Автор: Paul Koether
Език: Английски език
Корици: С меки корици
Издател: VDM Verlag Dr. Mueller E.K.
Наличност: Външен склад
Изпращаме след 14-21 дни
68.73 134.42 лв
We work in the setting of time series of financial returns.Our starting point are the GARCH models,...

Информация за книгата

Автор
Език
Английски език
Корици
Книга - С меки корици
Издадена
2008
страници
172
EAN
9783639014402
ISBN
3639014405
Enbook ID
06811436
Теглоt
236
Размери
152 x 229 x 9

Пълно описание

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.

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