This is a basic journal article template which includes metadata fields for multiple authors, affiliations and keywords.
It is also set up to use the lineno package for line numbers; these can be turned on by adding the 'lineno' option to the documentclass command.
Modelo LaTeX (não oficial) que permite a produção de trabalhos acadêmicos (teses, dissertações, trabalhos de conclusão, etc.) dos cursos do Departamento Acadêmico de Informática (DAINF-PB) da Universidade Tecnológica Federal do Paraná (UTFPR) - Câmpus Pato Branco.
In this paper we discuss how to price American, European and Asian options using a geometric Brownian motion model for stock price. We investigate the analytic solution for Black-Scholes differential equation for European options and consider numerical methods for approximating the price of other types of options. These numerical methods include Monte Carlo, binomial trees, trinomial trees and finite difference methods. We conclude our discussion with an investigation of how these methods perform with respect to the changes in different Greeks. Further analysing how the value of a certain Greeks affect the price of a given option.