Quantum Finance: The Finite Dimensional Case
量子物理
2007-05-23 v2 泛函分析
概率论
摘要
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.
引用
@article{arxiv.quant-ph/0112158,
title = {Quantum Finance: The Finite Dimensional Case},
author = {Zeqian Chen},
journal= {arXiv preprint arXiv:quant-ph/0112158},
year = {2007}
}
备注
22 pages, revised version, submitted