Stochastic optimization techniques are applied to the framework of hedging exotic options from the perspective of a bank which sells derivatives and thus is exposed to potential future liabilities. The objective is to formulate an optimal strategy that minimizes the impact of potential losses. In practice, hedging involves the construction of a portfolio, referred to as hedging portfolio, which will be periodically adjusted in response to market changes that have an impact on the considered derivative. The optimization process relies on scenario trees generated through stochastic models. Two methods for simulating underlying stock prices (Geometric Brownian Motion and Moment Matching) are presented.