Abstract
ABSTRACT The market price-earnings ratios differ from those of each share. Despite allowing for several pertinent analyses, authors have rarely addressed these valuation ratios in the Brazilian context. We can use it to evaluate whether the stock market is overvalued (undervalued). In this article, we analyze the mean reversion in a price-earnings ratio based on Ibovespa and identify periods of overvaluation (undervaluation) in the Brazilian stock market. We considered the period from December 2004 to June 2018. Until then, there are no studies that sought to identify periods of overvaluation (undervaluation) in this market. In the analyses, we used non-linear econometric methods. We analyzed the mean reversion in the price-earnings ratio using a unit root test that incorporates a Fourier function in the deterministic term. We identified the periods of market overvaluation (undervaluation) through the regime probabilities obtained from a Markov Switching model, estimated with the price-earnings ratio. The results evidenced that the price-earnings ratio based on the Ibovespa has a non-linear trend and exhibits mean reversion. Thus, this valuation ratio should provide information on the future stock market returns, mostly when it is very dispersed in relation to historical standards. We identified four periods of market overvaluation interposed with five periods of market undervaluation. Mean reversion in the price-earnings ratio contraposes the Efficient Markets Hypothesis. There are no other applications of unit root tests with a Fourier function in the Brazilian context. Furthermore, adopting a Markov Switching model to identify periods of market overvaluation (undervaluation) consists of a methodological contribution. Investors can take advantage of the identification of these periods to establish investment strategies.
Highlights
Fama’s studies (1965, 1970, 1991, 1995) widely discussed the idea of stock market efficiency
Using a Markov Switching model, we estimated the probabilities of the P/E1 incorporates each of the deterministic components, indicating when it was in the corresponding regimes at a given time
We analyze the mean reversion in the time series of the P/E1 using the Enders and Lee (2012b) unit root test
Summary
Fama’s studies (1965, 1970, 1991, 1995) widely discussed the idea of stock market efficiency. Becker et al (2012) and Moghaddam and Li (2017) evaluated mean reversion in the P/E10 of the US stock market using a non-linear unit root test, which deals with multiple structural breaks fitted through a Fourier function Another interesting issue is identifying periods when a stock market is overvalued (undervalued) based on valuation ratios. Using a Markov Switching model, we estimated the probabilities of the P/E1 incorporates each of the deterministic components, indicating when it was in the corresponding regimes at a given time Based on these regime probabilities, we dated the periods of overvaluation (undervaluation) in the Brazilian stock market. We show that the P/E1 exhibits mean reversion through a unit root test whose model incorporates a Fourier function in the deterministic term This valuation ratio should provide information on the future stock market returns, mostly when it is very dispersed in relation to historical standards. This article advances in a theoretical approach of behavioral finance that, unlike the experimental approach, has still been little explored in empirical studies in the Brazilian context (Silva et al, 2019)
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