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Extending and simulating the quantum binomial options pricing model

Pricing options quickly and accurately is a well known problem in finance. Quantum computing is being researched with the hope that quantum computers will be able to price options more efficiently than classical computers. This research extends
the quantum binomial option pricing model proposed by Zeqian Chen to European
put options and to Barrier options and develops a quantum algorithm to price them.
This research produced three key results. First, when Maxwell-Boltzmann statistics
are assumed, the quantum binomial model option prices are equivalent to the classical binomial model. Second, options can be priced efficiently on a quantum computer after the circuit has been built. The time complexity is O((N − τ)log(N − τ)) and it is in the BQP quantum computational complexity class. Finally, challenges extending the quantum binomial model to American, Asian and Bermudan options exist as the quantum binomial model does not take early exercise into account.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:MWU.1993/3154
Date23 April 2009
CreatorsMeyer, Keith
ContributorsKocay, W. (Computer Science), Thulasiram, T. (Computer Science)Southern, B.W. (Physics & Astronomy)
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
Languageen_US
Detected LanguageEnglish

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