A crítica de Mandelbrot: normalidade como exceção e não como regra

Starting with a brief introduction about the evolution of asset pricing models, we seek here to introduce the critique made by Benoit Mandelbrot about using the normality hypothesis when building such models. This critique arises when empirical and theoretical models where confronted and the expected results diverged from the ones obtained. Next, we reproduce Mandelbrot alternative which he believes is sufficient to solve the main problems implied by the normality hyphotesis

Modelagem matemática aplicada a precificação de opções

The mathematical models are critical to determine theoretical prices of options and analyze whether they are overrated or underrated. This information strongly influence in operations carried out by the investor. Therefore, it is necessary that the employee model present high degree of reliability and be consistent with the reality of investment to which it is intended. In this sense, this dissertation aims to apply the steps of mathematical modeling in the Pricing of options for decision making in the investment of a hydroelectric power plant. Was used a Monte Carlo simulation, with the Latin Hypercube Method, to determine the volatility of returns of the project. In order to validate the proposed model, compared to the results found by the Binomial Model, which is one of the models most used in this type of investment. The results reinforce the hypothesis that the mathematical modeling with the Binomial Model is critical to investment decision-making in hydroelectric power