Stochastic differential equations (3rd ed.): an introduction with applications
Stochastic differential equations (3rd ed.): an introduction with applications
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q -calculus, also known under the name of h -calculus, has found wide applications in many areas of mathematics. In this paper we provide for a basic financial option pricing application where we try to rationalize the use of a q -derivative. We provide for a brief discussion on how the value of q can be an indicator of either the use (or not the use) of the risk free rate of interest in the option pricing partial differential equation.