Abstract: In preferred embodiments, a method and system for pricing a derivative (e.g., a stock option) based on a non-Gaussian price model assuming statistical feedback. The dynamics of the underlying financial instrument (e.g., stock) are assumed to follow a stochastic process with anomalous nonlinear diffusion, phenomenologically modeled as a statistical feedback process within the framework of a generalized thermostatistics. Preferred embodiments implement solutions to a generalized form of the Black-Scholes differential equation, using risk-free asset valuation techniques in some cases.