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Long-run and Cyclical Dynamics in the US Stock Market

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  • Caporale, Guglielmo Maria

    (London South Bank University)

  • Gil-Alana, Luis A.

    (Department of Economics, University of Navarra)

Abstract

This paper examines the long-run dynamics and the cyclical structure of the US stock market using fractional integration techniques, specifically a version of the tests of Robinson (1994a) which allows for unit (or fractional) roots both at the zero (long-run) and at the cyclical frequencies. We consider 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 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, most series appear to be stationary and to exhibit long memory. Further, mean reversion occurs. Finally, the fractional (at zero and cyclical) models are shown to forecast more accurately than rival ones based on fractional and integer differentiation exclusively at the zero frequency.

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Bibliographic Info

Paper provided by Institute for Advanced Studies in its series Economics Series with number 155.

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Length: 29 pages
Date of creation: May 2004
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Handle: RePEc:ihs:ihsesp:155

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Keywords: Stock market; Fractional cycles; Long memory; Gegenbauer processes;

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Cited by:
  1. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2011. "Long Memory and Fractional Integration in High-Frequency British Pound / Dollar Spot Exchange Rates," Faculty Working Papers 02/11, School of Economics and Business Administration, University of Navarra.
  2. Rania Jammazi & Chaker Aloui, 2014. "Cyclical components and dual long memory in the foreign exchange rate dynamics: the Tunisian case," Working Papers 2014-198, Department of Research, Ipag Business School.
  3. Luis A. Gil-Alana & Yun Cao, 2010. "Stock market prices in China. Efficiency, mean reversion, long memory volatility and other implicit dynamics," Faculty Working Papers 12/11, School of Economics and Business Administration, University of Navarra.

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