Maximum Likelihood estimation and Simulation for Stochastic Differential Equations (Diffusions)
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Updated
Aug 6, 2025 - Python
Maximum Likelihood estimation and Simulation for Stochastic Differential Equations (Diffusions)
Stochastic PDE solvers (SPDE) built on top of exponax: Exponential Euler-Maruyama stepper for the stochastic Allen-Cahn equation with additive/multiplicative Q-Wiener noise, tamed nonlinearities, ensemble utilities, Richardson extrapolation, and a Strang-split hybrid SSA scaffold.
This project focuses on applying advanced simulation methods for derivatives pricing. It includes Monte-Carlo, Variance Reduction Techniques, Distribution Sampling Methods, Euler Schemes, and Milstein Schemes.
Simulação da taxa de juros com o modelo CIR (Euler–Maruyama e Milstein), Monte Carlo para precificação de bonds e construção da curva a termo.
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