Table A1

Chow–denning joint variance ratio test results based on five-day returns

MarketDofHomoscedasticity robust test statistics max |z|Heteroscedasticity robust test statistics max |z|
Panel APanel BPanel APanel B
Australia75514.0814.084.984.98
Canada75114.0314.035.345.34
France76714.1714.177.767.76
Germany76115.1615.168.288.28
Hong Kong73813.7713.778.378.37
Israel72013.1613.167.117.11
Japan73414.9714.975.345.34
Sweden75215.1915.195.505.50
UK75614.2314.238.398.39
US75316.9016.905.445.44
Brazil74016.1216.127.087.08
Chile74614.5214.526.776.77
China72713.5713.5710.1810.18
Greece74114.1614.167.317.31
India74015.3715.378.728.72
Malaysia73614.0114.016.776.77
Mexico75015.7715.776.186.18
Poland74514.3014.307.227.22
Russia74314.6014.606.856.85
South Africa74613.3713.377.727.72

Note(s): 1. This table presents five-day return results of Chow–Denning tests (test of martingale hypothesis). The presented are Max |z| with probability approximation using studentized maximum modulus with parameter value 4 and infinite degrees of freedom

2. All the test statistics are statistically significant (different from 1), using a critical value of 2.49 (panel A) and using the confidence intervals calculated with the Wild Bootstrapping method (panel B)

3. The results strongly reject the null hypothesis of a martingale across all markets

4. We also ran the above tests in panel settings under the assumption that cross-sections are independent, with cross-section heterogeneity of the processes. The combined the p-values from cross-section results using the Fisher approach as in Maddala and Wu (1999) were all highly significant for both developed and emerging market panels

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