Existing methods for estimating nonlinear dynamic models are either highly computationally costly or rely on local approximations which often fail adequately to capture the nonlinear features of interest. I develop a new method, the discretization filter, for approximating the likelihood of...

The question of fiscal sustainability of countries has become one of the central topics in economic policy, especially in times of increasing public debts. One way to assess fiscal sustainability is to examine compliance with the intertemporal budget constraint, which involves testing the...

Thanks to various Fourier DF unit root tests, time-varying fiscal reaction functions and threshold regressions, this study examines the stationarity and the sustainability of public finance for six industrial countries over the period spanning from 1870 to 2017. Longer-run debt sustainability is...

In this article, we use tests of explosive behavior in real house prices with annual data for the case of Australia for the period 1870-2020. The main contribution of this paper is the use of very long time series. It is important to use longer span data because it offers more powerful...

For the large family of ARMA models with variable coefficients we provide an explicit and computationally tractable solution representation, which yields the fundamental properties of such processes, including the Wold-Cramer decomposition and the covariance structure. These results are founded...

This paper is an empirical study of the links between monetary variables and inflation based on Cagan`s equation and its rational expectations solution, when the forcing variable is a fractionally integrated process. As demonstrated by Hamilton and Whiteman, the existence of bubbles and other...