
Options valuation analysis of the shares of Ecopetrol and Pacific Exploration between June 2013 and July 2016
Author(s) -
Álvaro Javier Cangrejo,
Christian Camilo Cortés
Publication year - 2017
Publication title -
sistemas and telematica
Language(s) - English
Resource type - Journals
ISSN - 1692-5238
DOI - 10.18046/syt.v15i40.2390
Subject(s) - econometrics , volatility (finance) , valuation (finance) , closing (real estate) , stochastic volatility , asset (computer security) , economics , financial economics , computer science , finance , computer security
In this paper, we analyze the environment and the dynamics of the Black-Scholes model starting from a stochastic differential equation that explains the evolution of the future prices of an asset. With these defined guidelines, the data obtained by the daily closing prices between June 2013 and June 2016 of the shares of Ecopetrol and Pacific Exploration are normalized, by means of a Box-Cox transformation, to determine the volatility of each of them and apply this model to calculate the value of the asset with fixed time, and thus determine which of the two oil companies have a lower risk at the time of investing.