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.
The SMT1132 Course LaTeX course module is intended to train undergraduate science students in the use of scientific authoring tool for production of course assignments as well as dissertation reports. In this course students learn how to format documents, how to insert inline formula and math symbols, how to create displayed numbered mathematical formula, how to create tables and insert figures into a document properly. At the end of the course the students are ready to write papers of a quality that are ready for publication in a journal.
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.
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