In this paper the stop-waiting strategy of Franz Bruss is set into a simple probabilistic framework and applied to the apple share prices from 1984 to 2013. Within the probabilistic framework a heuristic and a mathematical decision rule using the $\Psi$ function is developed. The results are in line with Bruss's theory. We apply the stop-waiting strategy to the Apple share prices and compare the results with a simple start-end and chart technique strategy.
Optimal Stopping Problem Mathematical Tools Share Market