Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Josep Vives i Santa EulàliaI decided to do this project after attending the subjects of Modelling and Stochastic Processes; the main objective was to relate the two subjects and deep into them. I have reached it dealing with the issue of Financial Mathematics. On the one hand, I have introduced the topic of financial market in discrete time using previous concepts such as that of martingale and be able to develop the model of Cox-Ross-Rubinstein. On the other hand, to deal with the financial market in continuous time and relate the two subjects, I have introduced the stochastic processes and I have achieved to detail the Balck-Scholes model.