Static versus Dynamic Arbitrage Bounds on Multivariate Option Prices

dc.creatord'Aspremont, Alexandre
dc.date2004-07-10
dc.date.accessioned2026-07-07T03:21:33Z
dc.date.available2026-07-07T03:21:33Z
dc.descriptionWe compare static arbitrage price bounds on basket calls, i.e. bounds that only involve buy-and-hold trading strategies, with the price range obtained within a multi-variate generalization of the Black-Scholes model. While there is no gap between these two sets of prices in the univariate case, we observe here that contrary to our intuition about model risk for at-the-money calls, there is a somewhat large gap between model prices and static arbitrage prices, hence a similarly large set of prices on which a multivariate Black-Scholes model cannot be calibrated but where no conclusion can be drawn on the presence or not of a static arbitrage opportunity.
dc.descriptionSubmitted to IMA series
dc.identifierhttps://arxiv.org/abs/cs/0407029
dc.identifierhttp://arxiv.org/abs/cs/0407029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32243
dc.subjectComputational Engineering, Finance, and Science
dc.titleStatic versus Dynamic Arbitrage Bounds on Multivariate Option Prices
dc.typetext

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