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Fractional Integration of the Price-Dividend Ratio in a Present-Value Model

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  • Golinski, Adam
  • Madeira, Joao
  • Rambaccussing, Dooruj

Abstract

We re-examine the dynamics of returns and dividend growth within the present-value framework of stock prices. We find that the finite sample order of integration of returns is approximately equal to the order of integration of the first-differenced price-dividend ratio. As such, the traditional return forecasting regressions based on the price-dividend ratio are invalid. Moreover, the nonstationary long memory behaviour of the price-dividend ratio induces antipersistence in returns. This suggests that expected returns should be modelled as an ARFIMA process and we show this improves the forecast ability of the present-value model in-sample and out-of-sample.

Suggested Citation

  • Golinski, Adam & Madeira, Joao & Rambaccussing, Dooruj, 2014. "Fractional Integration of the Price-Dividend Ratio in a Present-Value Model," MPRA Paper 58554, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:58554
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    1. Mikael Bask & João Madeira, 2021. "Extrapolative expectations and macroeconomic dynamics: Evidence from an estimated DSGE model," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(1), pages 1101-1111, January.

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    More about this item

    Keywords

    price-dividend ratio; persistence; fractional integration; return predictability; present-value model.;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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