RT Journal Article
SR Electronic
T1 Quantum Option Pricing and Quantum Finance
JF The Journal of Derivatives
FD Institutional Investor Journals
SP jod.2020.1.111
DO 10.3905/jod.2020.1.111
A1 Focardi, Sergio
A1 Fabozzi, Frank J.
A1 Mazza, Davide
YR 2020
UL http://jod.pm-research.com/content/early/2020/05/28/jod.2020.1.111.1.abstract
AB In this article, the authors discuss the use of quantum probability, that is, the probability theory of quantum mechanics, for option pricing and for finance in general. The authors discuss the motivations for applying quantum probability to finance. The critical issues are replacing random variables with operators, self-reflexivity of markets, and the existence of incompatible observations. The authors outline quantum probability theory, quantum stochastic processes, and the pricing of options in a quantum context.TOPICS: Options, portfolio theory, portfolio constructionKey Findings• Quantum probability theory is a probabilistic theory of observations. Observations can change the system and be incompatible.• Quantum probability offers a more empirically faithful handling of large events and of uncertainty.• A better theory of valuation is offered by quantum probability theory than classical probability theory.