dorsal/arxiv
View SchemaQuantum Theory for the Binomial Model in Finance Theory
| Authors | Zeqian Chen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112156 |
| URL | https://arxiv.org/abs/quant-ph/0112156 |
| Journal | Journal of Systems Science and Complexity, vol.17, 567-573(2004) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this paper, a quantum model for the binomial market in finance is proposed. We show that its risk-neutral world exhibits an intriguing structure as a disk in the unit ball of ${\bf R}^3,$ whose radius is a function of the risk-free interest rate with two thresholds which prevent arbitrage opportunities from this quantum market. Furthermore, from the quantum mechanical point of view we re-deduce the Cox-Ross-Rubinstein binomial option pricing formula by considering Maxwell-Boltzmann statistics of the system of $N$ distinguishable particles.
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"abstract": "In this paper, a quantum model for the binomial market in finance is\nproposed. We show that its risk-neutral world exhibits an intriguing structure\nas a disk in the unit ball of ${\\bf R}^3,$ whose radius is a function of the\nrisk-free interest rate with two thresholds which prevent arbitrage\nopportunities from this quantum market. Furthermore, from the quantum\nmechanical point of view we re-deduce the Cox-Ross-Rubinstein binomial option\npricing formula by considering Maxwell-Boltzmann statistics of the system of\n$N$ distinguishable particles.",
"arxiv_id": "quant-ph/0112156",
"authors": [
"Zeqian Chen"
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"journal_ref": "Journal of Systems Science and Complexity, vol.17, 567-573(2004)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Quantum Theory for the Binomial Model in Finance Theory",
"url": "https://arxiv.org/abs/quant-ph/0112156"
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