GARCH models are commonly used as latent processes in econometrics, financial economics and macroeconomics. Yet no exact likelihood analysis of these models has been provided so far. In this paper we outline the issues and suggest a Markov chain Monte Carlo algorithm which allows the calculation...

We propose a new method to determine the cointegration rank in the error correction model of Engle and Granger (1987). To this end, we first estimate the cointegration vectors in terms of a residual-based principal component analysis. Then the cointegration rank, together with the lag order, is...

This paper provides a fully micro-founded New Keynesian framework to study the interaction between oil price volatility, pricing behavior of firms and monetary policy. We show that when oil has low substitutability, firms find it optimal to charge higher relative prices as a premium in...

Equilibrium models have been proposed in literature with the aim of describing the evolution of the price of emission permits. This paper derives first a reducedform model from an equilibrium model and thereby explains how existing reducedform models are related to equilibrium models. Second, by...

Per capita incomes across European regions are not equal and do not stay constant; regional income distributions uctuate over time. Such a process could have many possible limiting outcomes: complete equal- ity (convergence), stratication, and continually increasing inequality are but three...

We analyse the Generalised Hyperbolic distribution as a model for fat tails and asymmetries in multivariate conditionally heteroskedastic dynamic regression models. We provide a standardised version of this distribution, obtain analytical expressions for the log-likelihood score, and explain how...

Asymptotic inference on nonstationary fractional time series models, including cointegrated ones, is proceeding along two routes, determined by alternative definitions of nonstationary processes. We derive bounds for the mean squared error of the difference between (possibly tapered) discrete...

Order selection based on criteria by Akaike (1974), AIC, Schwarz (1978), BIC or Hannan and Quinn (1979) HIC is often applied in empirical examples. They have been used in the context of order selection of weakly dependent ARMA models, AR models with unit or explosive roots and in the context of...

Fractional cointegration is viewed from a semiparametric viewpoint as a narrow-band phenomenon at frequency zero. We study a narrow-band frequency domain least squares estimate of the cointegrating vector, and related semiparametric methods of inference for testing the memory of observables and...