Although spectral analysis of stationary stochastic processes has solid mathematical foundations, this is not always so for some non-stationary cases. Here, we establish a rigorous mathematical extension of the classic Fourier spectrum to the case in which there are AR roots in the unit circle,...

To assess the predictive content of the interest rate term spread for future economic growth, we distinguish short-run from long-run predictability by using two different approaches. First, following Dufour and Renault (1998) a test procedure is proposed to test for causality at different...

In this paper we decompose the Serial Correlation Common Feature (SCCF) of Engle and Kozicki (1993) in the frequency domain. A collection of time series is said to share a common cycle if there exists a linear combination of the predicted series with a zero spectral density at some frequency....

This study applies wavelet analysis to examine the relationship between the U.S. real estate and stock markets over the period 1890-2012. Wavelet analysis allows the simultaneous examination of co-movement and causality between the two markets in both the time and frequency domains. Our findings...

I consider a bivariate stationary fractional cointegration system and I propose a quasi-maximum likelihood estimator based on the Whittle analysis of the joint spectral density of the regressor and errors to estimate jointly all parameters of interest of the model: the long run coefficient and...

This article establishes stylized facts about the cyclicality of real consumer wages and real producer wages in Germany. As detrending methods, we apply the Beveridge–Nelson decomposition, the Hodrick–Prescott filter, the Baxter–King filter, and the structural time series model. The...

We consider estimation of the cointegrating relation in the weak fractional cointegration model, where the strength of the cointegrating relation (difference in memory parameters) is less than one-half. A special case is the stationary fractional cointegration model, which has found important...

Many central banks have abandoned monetary targeting because the link between money growth and inflation seemed to disappear in the 1980s. Using spectral regression techniques, we show that for the euro area, Japan, the UK and the US there is a unit relationship between money growth and...

Money demand instability has been the subject of considerable attention in the recent literature. This paper examines the stability of velocity series for the United States and for five European countries (France, Germany, Italy, the Netherlands and the United Kingdom). A distribution-free test...

Announced in the autumn of 1998, the monetary policy strategy of the European Central Bank (ECB) quickly became controversial, arguably because the ECB provided neither an explicit representation of the inflation process nor an explanation for why it necessitated the adoption of a two-pillar...