Estratègies d'inversió a temps continu sota el model brownià geomètric

Abstract

The main goal of this project is to study the hedging trategy’s problem under the Geometric Brownian Motion market model. Because it is a continuous time model, it will be necessary to study the most important tools in stochastic calculus, like the Brownian motion, martingales, the stochastic integral, and finally, the Itô’s formula. Once it is done, we will introduce the financial markets, the the Black-Scholes market model under the non-arbitrage principle and it’s hedging strategies.