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...

This rejoinder highlights some of the differences in the test approach adopted by Fernandez-Macho (2013) in his critique of Leong and Huang (2010) and those commonly found in the literature such as Granger and Newbold(1974), Phillips (1986) and Leong and Huang (2010)

Business cycles and economic growth have long been studied separately, hindering understanding of the nature and causes of economic fluctuations and growth. Here, we present an economic model that incorporates both deterministic trends and persistent fluctuations, derived from a general economic...

This paper analyses the time series behavior of the components of the real exchange rates between the founding member states of the EMU before and after the start of the EMU. Various panel and univariate country-specific tests show that the levels of these components are typically random walks....

We develop a new parameter stability test against the alternative of observation driven generalized autoregressive score dynamics. The new test generalizes the ARCH-LM test of Engle (1982) to settings beyond time-varying volatility and exploits any autocorrelation in the likelihood scores under...

We adopt an unobserved components time series model to extract financial cycles for the United States and the five largest euro area countries over the period 1970 to 2014. We find that credit, the credit-to-GDP ratio and house prices have medium-term cycles which share a few common statistical...