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Comparison between the value of H and the mean return between countries for the period 2007-2014. Finally, Figure 6 shows for Colombia (a), Pakistan (b), Thailand (c), and Hong Kong (d) the average profitability vs. the H value of the pair series for the period 2014-2020. As we have been seeing, as the value of the Hurst exponent (H) decreases, the average return increases. If we observe what happens in the case of Thailand, we would only obtain a positive average return if the value if H is between 0.2 and 0.3. Therefore, we can also conclude that it is interesting to form the pairs of shares that make up the portfolios with the lowest possible value of the Hurst exponent of the pair series, as this would mean an increase in the profitability of the strategy.
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In this paper, we use a statistical arbitrage method in different developed and emerging countries to show that the profitability of the strategy is based on the degree of market efficiency. We will show that our strategy is more profitable in emerging ones and in periods with greater uncertainty. Our method consists of a Pairs Trading strategy bas...
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... Secondly, and considering the possibility of arbitrage, the presence of inefficiencies ends up generating windows of opportunities for abnormal gains, which, as they are detected and taken advantage of by various agents in the stock market, are no longer relevant, which implies a reduction of movements in the market focused on that strategy, which, in turn, ends up increasing market efficiency. Such conclusion is corroborated by the analyses of Dima et al. (2021), Balladares et al. (2021), andSánchez-Granero et al. (2020), signaling that the existence of a higher degree of inefficiency enables the use of graphical analyses to obtain abnormal returns. ...
... Physicists have provided a completely different perspective through the introduction of the Hurst exponent to study market efficiency (Beben and Orłowski 2001;Di Matteo et al. 2005;Zunino et al. 2007;Cajueiro and Tabak 2005;Kristoufek and Vosvrda 2014;Sánchez-Granero et al. 2020;Balladares et al. 2021). Hurst (1951) attempted to optimize the storage capacity of a reservoir intended to regulate the natural contributions of the Nile River. ...
This research aims to improve the efficiency in estimating the Hurst exponent in financial time series. A new procedure is developed based on equality in distribution and is applicable to the estimation methods of the Hurst exponent. We show how to use this new procedure with three of the most popular algorithms (generalized Hurst exponet, total triangles area, and fractal dimension) in the literature. Findings show that this new approach improves the accuracy of the original methods, mainly for longer series. The second contribution of this study is that we show how to use this methodology to test whether the series is self-similar, constructing a confidence interval for the Hurst exponent for which the series satisfies this property. Finally, we present an empirical application of this new procedure to stocks of the S &P500 index. Similar to previous contributions, we consider this to be relevant to financial literature, as it helps to avoid inappropriate interpretations of market efficiency that can lead to erroneous decisions not only by market participants but also by policymakers.
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