In the context of financial markets, a constant element is the presence of risks, which can make the management of financial instruments challenging. The complexity may increase in the case of exotic derivatives, whose value may depend on a variety of underlying variables and risk factors. In this framework, the present work develops a strategy for the dynamic hedging of exotic derivatives through stochastic optimization. The main idea behind a hedging problem is to optimize the management of a hedging portfolio designed to offset potential future liabilities arising from a position in the exotic derivative. The term 'dynamic', instead, refers to a multi-stage decision process where multiple decisions can be made over time.