The current paper explores the cutting-edge applications of quantum field theory and quantum information theory modelling in different areas of economic science, namely, in the behavioural modelling of agents under market uncertainty, and mathematical modelling of asset or option prices and firm...

The current paper explores the cutting-edge applications of quantum field theory and quantum information theory modelling in different areas of economic science, namely, in the behavioural modelling of agents under market uncertainty, and mathematical modelling of asset or option prices and firm...

We document the numerical aspects of the calibration of cross-currency options on the local volatility framework. We consider the partial differential equation satisfied by the price of the cross-currency option and see that the most important specifications to set are the boundary conditions....

We document the calibration of the local volatility in terms of local and implied instantaneous variances; we first explore the theoretical properties of the method for a particular class of volatilities. We confirm the theoretical results through a numerical procedure which uses a Gauss-Newton...

We consider an optimal control problem for a one-dimensional Itô diffusion and a stochastic game of optimal stopping associated with it. Their value functions satisfy ... and an optimal control defines a saddle point for the game. This extends earlier results to the case of bounded variation...