Martingale and Arbitrage in securities markets with transaction cost

Elyès Jouini () and Hedi Kallal

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Abstract: We derive the implications from the absence of arbitrage in dynamic securities market with bi-ask spreads. The absence of arbitrage is equivalent to the existence of at least an equivalent probability measure that transforms some process between the bid and the ask price processes of traded securities into a martingale. These martingale measures can be interpreted as possible linear pricing rules and can be used to determine the investment opportunities available in such an economy. The minimum cost at which a contingent claim can be obtained through securities trading is its largest expected value with respect to the martingale measures.

Keywords: Arbitrage; transaction cost (search for similar items in EconPapers)
Date: 1995
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Citations: View citations in EconPapers (90)

Published in Journal of economic Theory 66, , 1995, pp.178-197

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Journal Article: Martingales and Arbitrage in Securities Markets with Transaction Costs (1995)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00167138

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