“…Is it possible that combinations of portfolios with no arbitrage opportunity could generate portfolios that could have expected arbitrage opportunity? As far as we know, theories in the literature [ [12] , [13] , [14] , [15] , [16] , [17] , [18] ], including the theory of stochastic dominance (SD), only find that combinations of portfolios with no arbitrage opportunity could generate portfolios that could enable investors to obtain higher expected utility but could not generate portfolio that have expected arbitrage opportunity. In this paper, we conjecture that it is possible that combinations of portfolios with no arbitrage opportunity could generate portfolios that could generate portfolios that could have expected arbitrage opportunity.…”