no code implementations • 18 Mar 2020 • Ali Al-Aradi, Sebastian Jaimungal
We address the Merton problem of maximizing the expected utility of terminal wealth using techniques from variational analysis.
no code implementations • 30 Nov 2019 • Ali Al-Aradi, Adolfo Correia, Danilo de Frietas Naiff, Gabriel Jardim, Yuri Saporito
We extend the DGM algorithm to solve for the value function and the optimal control \simultaneously by characterizing both as deep neural networks.
no code implementations • 16 Mar 2019 • Ali Al-Aradi, Sebastian Jaimungal
The solution in this case requires a filtering step to obtain posterior probabilities for the state of the Markov chain from asset price information, which are subsequently used to find the optimal allocation.
2 code implementations • 21 Nov 2018 • Ali Al-Aradi, Adolfo Correia, Danilo Naiff, Gabriel Jardim, Yuri Saporito
In this work we apply the Deep Galerkin Method (DGM) described in Sirignano and Spiliopoulos (2018) to solve a number of partial differential equations that arise in quantitative finance applications including option pricing, optimal execution, mean field games, etc.