Predicting the Cyclical Phases of the Post-War U.S. Leading
and Coincident Indicators
Konstantin Kholodilin
Institut de recherches économiques et sociales
Abstract
A bifactor model of the unobserved common leading and coincident indicators with Markov
switching, introduced via the common factor intercept term, is examined. The model has four
regimes and the lag between the leading and coincident factors is reflected in transition
probabilities matrix. Three hypotheses concerning the relationship between the two factors
are evaluated: (1) cyclical dynamics of the two factors are independent; (2) cyclical dynamics
are common for both factors; (3) dynamics are interrelated, with coincident factor lagging
behind the leading factor. The models are estimated using US monthly macroeconomic time
series. The estimated recession probabilities reveal close correspondence to NBER business
cycle dating. Moreover, model 3 shows that the leading factor is entering the recession 5
months and the expansions 9 months earlier than the coincident one. This permits timely
forecasting of the future evolution of the coincident economic indicator.
Citation: Kholodilin, Konstantin, (2002) "Predicting the Cyclical Phases of the Post-War U.S. Leading and Coincident
Indicators." Economics Bulletin, Vol. 3, No. 5 pp. 1-15
Submitted: March 18, 2002. Accepted: March 19, 2002.
URL: http://www.economicsbulletin.com/2002/volume3/EB-02C50002A.pdf