1 Quantum Finance : The Finite Dimensional Case ∗
نویسنده
چکیده
In this paper, we present a non-commutative version of some portions of finance theory, including theory of arbitrage, asset princing, and optional decomposition in financial markets based on finite dimensional quantum probability spaces. The binomial model (or, the CRR-model) is studied in the non-commutative setting, and in particular, we prove that a single-step model in non-commutative setting must be incomplete.
منابع مشابه
ua nt - p h / 01 12 15 8 v 2 4 J ul 2 00 2 Quantum Finance : The Finite Dimensional Case ∗
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...
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