Application of FFT Transformation and Coherence Analysis to Identify the Slow-changing Cyclical Component on the Housing Market

Abstract

The paper reports the results of a study concerned with the identification and definition of time and frequency parameters regarding the cyclical phenomenon on the housing construction market. The cyclical component analysis in the frequency domain was identified using fast Fourier transformation, while the identification of the cyclical component and the interdependence of variables was performed by application of coherence analysis. The research provided answers to the questions regarding active cyclical characteristics that form determinants affecting the condition of the housing market. The resulting knowledge can be useful in decision-making processes that take place in the housing construction market, both on the demand and supply side of this market, as well as helpful in assessing the anticipated prices on the housing market and the formation of speculative bubbles.(original abstract)