Könyv GARCH-like Models with Dynamic Crash Probabilities Paul Koether

GARCH-like Models with Dynamic Crash Probabilities

Szerző: Paul Koether
Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 14-21 napon belül
25 317 Ft
We work in the setting of time series of financial returns.Our starting point are the GARCH models,...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2008
oldal
172
EAN
9783639014402
ISBN
3639014405
Enbook ID
06811436
Súly
236
Méretek
152 x 229 x 9

Teljes leírás

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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