2007SSRN Electronic JournalOpen access

Mean Reversion in Stock Prices: New Evidence from Panel Unit Root Tests

Paresh Kumar Narayan, Seema Narayan

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Abstract

Purpose - There are several studies that investigate evidence for mean reversion in stock prices. However, there is no consensus as to whether stock prices are mean reverting or random walk (unit root) processes. The goal of this paper is to re‐examine mean reversion in stock prices. Design/methodology/approach - The authors use five different panel unit root tests, namely the Im, Pesaran and Shint‐bar test statistic, the Levin and Lin test, the Im, Lee, and Tieslau Lagrangian multiplier test statistic, the seemingly unrelated regression test, and the multivariate augmented Dickey Fuller test advocated by Taylor and Sarno. Findings - The main finding is that there is no mean reversion of stock prices, consistent with the efficient market hypothesis. Research limitations/implications - One issue not considered by this study is the role of structural breaks. It may be the case that the efficient market hypothesis is contingent on structural breaks in stock prices. Future studies should model structural breaks. Practical implications - The findings have implications for econometric modelling, in particular forecasting. Originality/value - This paper adds to the scarce literature on the mean reverting property of stock prices based on panel data; thus, it should be useful for researchers.

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What this paper is about

Purpose - There are several studies that investigate evidence for mean reversion in stock prices. However, there is no consensus as to whether stock prices are mean reverting or random walk (unit root) processes. The goal of this paper is to re‐examine mean reversion in stock prices. Design/methodology/approach - The authors use five different panel unit root tests, namely the Im, Pesaran and Shint‐bar test statistic, the Levin and Lin test, the Im, Lee, and Tieslau Lagrangian multiplier test statistic, the seemingly unrelated regression test, and the multivariate augmented Dickey Fuller test advocated by Taylor and Sarno. Findings - The main finding is that there is no mean reversion of stock prices, consistent with the efficient market hypothesis. Research limitations/implications - One issue not considered by this study is the role of structural breaks. It may be the case that the efficient market hypothesis is contingent on structural breaks in stock prices. Future studies should model structural breaks. Practical implications - The findings have implications for econometric modelling, in particular forecasting. Originality/value - This paper adds to the scarce literature on the mean reverting property of stock prices based on panel data; thus, it should be useful for researchers.

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Available abstract

Purpose - There are several studies that investigate evidence for mean reversion in stock prices. However, there is no consensus as to whether stock prices are mean reverting or random walk (unit root) processes. The goal of this paper is to re‐examine mean reversion in stock prices. Design/methodology/approach - The authors use five different panel unit root tests, namely the Im, Pesaran and Shint‐bar test statistic, the Levin and Lin test, the Im, Lee, and Tieslau Lagrangian multiplier test statistic, the seemingly unrelated regression test, and the multivariate augmented Dickey Fuller test advocated by Taylor and Sarno. Findings - The main finding is that there is no mean reversion of stock prices, consistent with the efficient market hypothesis. Research limitations/implications - One issue not considered by this study is the role of structural breaks. It may be the case that the efficient market hypothesis is contingent on structural breaks in stock prices. Future studies should model structural breaks. Practical implications - The findings have implications for econometric modelling, in particular forecasting. Originality/value - This paper adds to the scarce literature on the mean reverting property of stock prices based on panel data; thus, it should be useful for researchers.

Key concepts: Mean reversion, Reversion, Stock (firearms), Unit root, Economics, Random walk, Econometrics, Random walk hypothesis

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