Before revision:  We are numerically confirmed that the asset management by means of the pairs trading works effectively at least for the past three years (2010-2012) data sets in the sense that the profit rate becomes positive (totally positive arbitrage) in most cases of the possible combinations of thresholds (\theta,\varepsilon,\Omega) ( `absorbing boundaries' in the literature of first-passage processes ) .
After revision:  We are numerically confirmed that the asset management by means of the pairs trading works effectively at least for the past three years (2010-2012) data sets in the sense that the profit rate becomes positive (totally positive arbitrage) in most cases of the possible combinations of thresholds (\theta,\varepsilon,\Omega) ( `absorbing boundaries' in the literature of first-passage processes .