4 papers
Pseudo-Hermiticity, Martingale Processes and Non-Arbitrage Pricing
Will Hicks
Financial models based on the Wick product, and White Noise formalism have previously been suggested in order to incorporate integrals with respect to fractional Brownian motion. I…
Closed Quantum Black-Scholes: Quantum Drift and the Heisenberg Equation of Motion
Will Hicks
In this article we model a financial derivative price as an observable on the market state function. We apply geometric techniques to integrating the Heisenberg Equation of Motion.…
A Nonlocal Approach to The Quantum Kolmogorov Backward Equation and Links to Noncommutative Geometry
Will Hicks
The Accardi-Boukas quantum Black-Scholes equation can be used as an alternative to the classical approach to finance, and has been found to have a number of useful benefits. The qu…
Nonlocal Diffusions and The Quantum Black-Scholes Equation: Modelling the Market Fear Factor
Will Hicks
In this paper, we establish a link between quantum stochastic processes, and nonlocal diffusions. We demonstrate how the non-commutative Black-Scholes equation of Accardi & Boukas…