If markets are efficient, what should be the correlation coefficient between stock returns for two non overlapping time periods?

1. If markets are efficient, what should be the correlation coefficient between stock returns for two non overlapping time periods?
2. Steady Growth Industries has never missed a dividend payment in its 94-year history. Does this make it more attractive to you as a possible purchase for your stock portfolio?
3. Shares of small firms with thinly traded stocks tend to show positive CAPM alphas. Is this a violation of the efficient market hypothesis?
4. Suppose you find that prices of stocks before large dividend increases show on average consistently positive abnormal returns. Is this a violation of the EMH?
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