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Functional Stochastic Analysis and Applications

Grant number: 17/23003-6
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): March 01, 2018
Effective date (End): February 29, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Paulo Regis Caron Ruffino
Grantee:Francys Andrews de Souza
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:15/07278-0 - Stochastic dynamics: analytical and geometrical aspects with applications, AP.TEM


We will characterize the epsilon-controls for pairs trade strategies driven by Fractional Brownian motion. To do this, we will use the pathwise analysis and a discretization structure proposed by Leão and Ohashi (2013) together with measurable selection arguments obtained in the article Leão, Ohashi e Souza(2017). With these objects, we will be able to characterize the epsilon-optimal controls for this type of strategy, and then we will be able to analyse the behavior of the strategy (profitability/loss) in a simulation structure.In addition, we will present a concrete methodology for calculating to epsilon-optimal controls for non-Markovian systems with partial observations, this part is a continuation and expansion of the theory developed in Leão, Ohashi e Souza(2017). Finally, after we have finished developing the theory for partial observations, we will work again on the strategy of Pairs Trade, but now on the case of partial observations. The central idea is to find a epsilon-optimal predictable control in the filtering generated by what the observable part. In this context, we will assume that asset volatility is not observed,and that we are able to observe is only the price.

News published in Agência FAPESP Newsletter about the scholarship:

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
OHASHI, ALBERTO; DE SOUZA, FRANCYS A. L-p uniform random walk-type approximation for Fractional Brownian motion with Hurst exponent 0 < H < 1/2. Electronic Communications in Probability, v. 25, 2020. Web of Science Citations: 0.

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