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185976

(2009) Quantum interaction, Dordrecht, Springer.

Quantum calculus (q-calculus) and option pricing

a brief introduction

Emmanuel Haven

pp. 308-314

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.

Publication details

DOI: 10.1007/978-3-642-00834-4_26

Full citation:

Haven, E. (2009)., Quantum calculus (q-calculus) and option pricing: a brief introduction, in P. Bruza, D. A. Sofge & W. F. Lawless (eds.), Quantum interaction, Dordrecht, Springer, pp. 308-314.

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