A Non-commutative Version of the Fundamental Theorem of Asset Pricing

TL;DR

This paper introduces a non-commutative analogue of the fundamental theorem of asset pricing, extending classical financial theory into a non-commutative mathematical framework.

Contribution

It presents the first non-commutative version of the fundamental theorem of asset pricing, broadening the theoretical foundation of mathematical finance.

Findings

Established a non-commutative framework for asset pricing

Proved the fundamental theorem in this new setting

Bridged classical and quantum financial models

Abstract

In this note, a non-commutative analogue of the fundamental theorem of asset pricing in mathematical finance is proved.