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A note on stochastic volatility, GARCH models, and hyperbolic distributions

Jaschke, Stefan R. - 1997

We establish a relation between stochastic volatility models and the class of generalized hyperbolic distributions. These distributions have been found to fit exceptionally well to the empirical distribution of stock returns. We review the background of hyperbolic distributions and prove...

Persistent link: https://www.econbiz.de/10009577459

Modelling exchange rates volatility with multivariate long-memory ARCH processes

Teyssière, Gilles - 1999 - Rev.

We consider two multivariate long-memory ARCH models, which extend the univariate long-memory ARCH models, we first …-memory ARCH processes. We apply these two models to two daily returns on foreign exchanges (FX) rates series, the Pound-US dollar … Monetary System inception in March 1979. -- heteroskedasticity ; Long-memory processes ; multivariate long-memory ARCH models …

Persistent link: https://www.econbiz.de/10009579181

Estimation in an additive model when the components are linked parametrically

Carroll, Raymond J.; Härdle, Wolfgang; Mammen, Enno - 1999

Motivated by a nonparametric GARCH model we consider nonparametric additive regression and autoregression models in the special case that the additive components are linked parametrically. We show that the parameter can be estimated with parametric rate and give the normal limit. Our procedure...

Persistent link: https://www.econbiz.de/10009579184

Testing for linear autoregressive dynamics under heteroskedasticity

Hafner, Christian M.; Herwartz, Helmut - 1998

One puzzling behavior of asset returns for various frequencies is the often observed positive autocorrelation at lag 1. To some extent this can be explained by standard asset pricing models when assuming time varying risk premia. However, one often finds better results when directly fitting an...

Persistent link: https://www.econbiz.de/10009579187

Testing for vector autoregressive dynamics under heteroskedasticity

Hafner, Christian M.; Herwartz, Helmut - 2002

In this paper we introduce a bootstrap procedure to test parameter restrictions in vector autoregressive models which is robust in cases of conditionally heteroskedastic error terms. The adopted wild bootstrap method does not require any parametric specification of the volatility process and...

Persistent link: https://www.econbiz.de/10009663846

Nonlinear GARCH models for highly persistent volatility

Lanne, Markku; Saikkonen, Pentti - 2002

In this paper we study new nonlinear GARCH models mainly designed for time series with highly persistent volatility. For such series, conventional GARCH models have often proved unsatisfactory because they tend to exaggerate volatility persistence and exhibit poor forecasting ability. Our main...

Persistent link: https://www.econbiz.de/10009621424

Nonparametric estimators of GARCH processes

Franke, Jürgen; Holzberger, Harriet; Müller, Marlene - 2002

Persistent link: https://www.econbiz.de/10009624848

Statistical inference for time-inhomogeneous volatility models

Mercurio, Danilo; Spokojnyj, Vladimir G. - 2002

This paper offers a new approach for estimation and forecasting of the volatility of financial time series. No assumption is made about the parametric form of the processes, on the contrary we only suppose that the volatility can be approximated by a constant over some interval. In such a...

Persistent link: https://www.econbiz.de/10009626679

Multivariate volatility models

Fengler, Matthias R.; Herwartz, Helmut - 2001

Multivariate Volatility Models belong to the class of nonlinear models for financial data. Here we want to focus on multivariate GARCH models. These models assume that the variance of the innovation distribution follows a time dependent process conditional on information which is generated by...

Persistent link: https://www.econbiz.de/10009615423

Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis

Hafner, Christian M.; Herwartz, Helmut - 1999

: leverage effect, and conditional leptokurtosis. Our analysis covers both a continuous and discrete time framework. The results … ; conditional leptokurtosis …

Persistent link: https://www.econbiz.de/10009580460