dorsal/arxiv
View SchemaQuantum Finance: The Finite Dimensional Case
| Authors | Zeqian Chen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112158 |
| URL | https://arxiv.org/abs/quant-ph/0112158 |
Abstract
In this paper, we present a quantum version of some portions of Mathematical Finance, including theory of arbitrage, asset pricing, and optional decomposition in financial markets based on finite dimensional quantum probability spaces. As examples, the quantum model of binomial markets is studied. We show that this quantum model ceases to pose the paradox which appears in the classical model of the binomial market. Furthermore, we re-deduce the Cox-Ross-Rubinstein binomial option pricing formula by considering multi-period quantum binomial markets.
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"date_created": "2026-03-02T18:01:48.348000Z",
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"abstract": "In this paper, we present a quantum version of some portions of Mathematical\nFinance, including theory of arbitrage, asset pricing, and optional\ndecomposition in financial markets based on finite dimensional quantum\nprobability spaces. As examples, the quantum model of binomial markets is\nstudied. We show that this quantum model ceases to pose the paradox which\nappears in the classical model of the binomial market. Furthermore, we\nre-deduce the Cox-Ross-Rubinstein binomial option pricing formula by\nconsidering multi-period quantum binomial markets.",
"arxiv_id": "quant-ph/0112158",
"authors": [
"Zeqian Chen"
],
"categories": [
"quant-ph",
"math.FA",
"math.PR"
],
"title": "Quantum Finance: The Finite Dimensional Case",
"url": "https://arxiv.org/abs/quant-ph/0112158"
},
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