The daily volatility is crucial in the study of financial risks. In an earlier attempt, a group of rules is successfully trained by Genetic Algorithms (GA) to extract patterns from the Integrated Volatility (IV) time series enabling analysts to achieve a forecasting accuracy of 75%. The current paper substantiates such a use of GA with a Markov chain based discrete stochastic optimization method. By transforming the IV time series into a Markov chain, it proves the link between the two methods in case of time non-homogeneity and convergence. Viewed differently, it demonstrates the efficiency improvement GA brought to the application of the stochastic optimization method in the forecast of IV.