Long Run and Cyclical Dynamics in the U.S. Stock Market

50 Pages Posted: 6 Jul 2007

See all articles by Guglielmo Maria Caporale

Guglielmo Maria Caporale

Brunel University London - Department of Economics and Finance; London South Bank University; CESifo (Center for Economic Studies and Ifo Institute); German Institute for Economic Research (DIW Berlin)

Luis A. Gil-Alana

University of Navarra - Department of Economics

Date Written: July 2007

Abstract

This paper examines the long-run dynamics and the cyclical structure of various series related to the US stock market using fractional integration. We implement a procedure which enables one to consider unit roots with possibly fractional orders of integration both at the zero (long-run) and the cyclical frequencies. We examine the following series: inflation, real risk-free rate, real stock returns, equity premium and price/dividend ratio, annually from 1871 to 1993. When focusing exclusively on the long-run or zero frequency, the estimated order of integration varies considerably, but nonstationarity is found only for the price/dividend ratio. When the cyclical component is also taken into account, the series appear to be stationary but to exhibit long memory with respect to both components in almost all cases. The exception is the price/dividend ratio, whose order of integration is higher than 0.5 but smaller than 1 for the long-run frequency, and is between 0 and 0.5 for the cyclical component. Also, mean reversion occurs in all cases. Finally, we use six different criteria to compare the forecasting performance of the fractional (at both zero and cyclical frequencies) models with others based on fractional and integer differentiation only at the zero frequency. The results show that the former outperforms the others in a number of cases.

Keywords: stock market, fractional cycles, long memory, Gegenbauer processes

JEL Classification: C22, G12, G14

Suggested Citation

Caporale, Guglielmo Maria and Gil-Alana, Luis A., Long Run and Cyclical Dynamics in the U.S. Stock Market (July 2007). CESifo Working Paper No. 2046, Available at SSRN: https://ssrn.com/abstract=998765

Guglielmo Maria Caporale (Contact Author)

Brunel University London - Department of Economics and Finance ( email )

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HOME PAGE: http://www.brunel.ac.uk/about/acad/bbs/bbsstaff/ef_staff/guglielmocaporale/

London South Bank University ( email )

Centre for Monetary and Financial Economics
London
United Kingdom

CESifo (Center for Economic Studies and Ifo Institute)

Poschinger Str. 5
Munich, DE-81679
Germany

German Institute for Economic Research (DIW Berlin) ( email )

Mohrenstraße 58
Berlin, 10117
Germany

Luis A. Gil-Alana

University of Navarra - Department of Economics ( email )

Campus de Arrosadia
Pamplona, 31006
Spain

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