We introduce a new approximation method for the distribution of functions of random variables that are real-valued. The approximation involves moment matching and exploits properties of the class of normal inverse Gaussian distributions. In the paper we examine the how well the different...

Here we present a general framework for a GARCH (1,1) type of process with innovations with a probability law of the mean- variance mixing type, therefore we call the process in question the mean variance mixing GARCH \ (1,1) or MVM GARCH\(1,1). One implication is a GARCH\ model with skewed...

In cointegration analysis, when considering a hypothesis of the kind beta =(H_1*phi_1,...,H_n*phi_n) the estimator is a simple switching method that requires starting values. We propose using additional restrictions, then solutions of an eigenvector problem may be used as starting values. Using...

Our objective is volatility forecasting, which is core to many risk management problems. We provide theoretical explanations for (i) the empirical stylized fact recognized at least since Taylor (1986) and Ding, Granger, and Engle (1993) that absolute returns show more persistence than squared...

This paper bridges the gap between traditional ARCH modelling and recent advances on realized volatilities. Based on a ten-year sample of five-minute returns for the ECU basket currencies versus the US dollar, we find that the realized volatilities constructed from the summation of the...

In cointegration analysis, when considering a hypothesis of the kind β = (H 1 ϕ 1,..., H n ϕ n) the estimation technique is a simple switching method that requires starting values. Using additional restrictions, the solution of an eigenvector problem may be used as starting values. Using a...

It is shown in this letter that the magnitude of exchange rate overshooting is larger than in Dornbusch (1976) when chartists are introduced into the model. Also, the extent of overshooting depends inversely on the planning horizon. The latter follows from explicitly modelling the empirical...

We show that the Matthew effect, or Matthew mechanism, was present in the artificial cultural market Music Lab when social influence between individuals was allowed, whereas this was not the case when social influence was not allowed. We also sketch on a class of social network models, derived...

The aim of this article is to demonstrate how the change in actual and potential market risks in the Dow Jones Industrial Average (DJIA) during the 2-year period 2007 to 2008 can be analysed with the help of (<italic>λ</italic>, <italic>σ</italic> -super-2)-analysis. In the empirical analysis, the average of the Lyapunov...