/Generalized-Bates-model-draft

📚SDE research and modelling in Finance📚

Primary LanguageJupyter NotebookMIT LicenseMIT

Option Pricing under Stochastic Differential Equations

Graduate work

Generalized Bates Model with stochastic correlation and stochastic interest rate. Found analytical solution for characteristic function of the SDE system. Found almost-exact solution under Q measure. Applied measure transformation Q->T and found almost-exact solution under T-measure. Consider different stochastic correlation processes (Ornstein-Uhlenbek, DCL).

Main files Calibrations/Calibration_Main_Calls, Calibrations/Calibration_Main_Puts

All packages in folder AllFunctions