Constructing Binomial Trees Via Random Maps for Analysis of Financial Assets

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Antonio Airton Carneiro de Freitas
José Roberto Securato

Abstract

Random maps can be constructed from a priori knowledge of the financial assets. It is also addressed the reverse problem, i.e. from a function of an empirical stationary probability density function we set up a random map that naturally leads to an implied binomial tree, allowing the adjustment of models, including the ability to incorporate jumps. An applica- tion related to the options market is presented. It is emphasized that the quality of the model to incorporate a priori knowledge of the financial asset may be affected, for example, by the skewed vision of the analyst.

(Full article available in Portuguese only)

Article Details

Section
Long Paper
Author Biographies

Antonio Airton Carneiro de Freitas, FEA USP

Departamento de Finanças da FEA-USP São Paulo-SP

José Roberto Securato, FEA USP

Departamento de Finanças da FEA-USP São Paulo-SP