Idioma:

Nonlinear Stochastic Equation within an Itô Prescription for Modelling of Financial Market

Lima, Leonardo S

Entropy (Basel, Switzerland), 2019-05, Vol.21 (5), p.530 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
Nonlinear Stochastic Equation within an Itô Prescription for Modelling of Financial Market
Autor: Lima, Leonardo S
Assuntos: Fokker-Planck equation ; Itô calculus ; Noise ; price dynamics ; Probability theory ; Securities markets ; Standard deviation ; stochastic differential equation ; Stochastic models ; Stock exchanges ; Time series ; Utility functions ; Volatility
É parte de: Entropy (Basel, Switzerland), 2019-05, Vol.21 (5), p.530
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: The stochastic nonlinear model based on Itô diffusion is proposed as a mathematical model for price dynamics of financial markets. We study this model with relation to concrete stylised facts about financial markets. We investigate the behavior of the long tail distribution of the volatilities and verify the inverse power law behavior which is obeyed for some financial markets. Furthermore, we obtain the behavior of the long range memory and obtain that it follows to a distinct behavior of other stochastic models that are used as models for the finances. Furthermore, we have made an analysis by using Fokker–Planck equation independent on time with the aim of obtaining the cumulative probability distribution of volatilities P ( g ) , however, the probability density found does not exhibit the cubic inverse law.
Editor: Basel: MDPI AG
Idioma: Inglês

Voltar para lista de resultados