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Market Delay and G-expectations

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  • Yan Dolinsky
  • Jonathan Zouari

Abstract

We study super-replication of contingent claims in markets with delayed filtration. The first result in this paper reveals that in the Black--Scholes model with constant delay the super-replication price is prohibitively costly and leads to trivial buy-and-hold strategies. Our second result says that the scaling limit of super--replication prices for binomial models with a fixed number of times of delay $H$ is equal to the $G$--expectation with volatility uncertainty interval $[0,\sigma\sqrt{H+1}]$.

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  • Yan Dolinsky & Jonathan Zouari, 2017. "Market Delay and G-expectations," Papers 1709.09442, arXiv.org, revised Dec 2018.
    • Handle: RePEc:arx:papers:1709.09442
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    References listed on IDEAS

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    1. Peter Bank & Yan Dolinsky & Ari-Pekka Perkkiö, 2017. "The scaling limit of superreplication prices with small transaction costs in the multivariate case," Finance and Stochastics, Springer, vol. 21(2), pages 487-508, April.
    2. Tomoyuki Ichiba & Seyyed Mostafa Mousavi, 2017. "Option Pricing with Delayed Information," Papers 1707.01600, arXiv.org.
    3. Martin Schweizer, 1994. "Risk‐Minimizing Hedging Strategies Under Restricted Information," Mathematical Finance, Wiley Blackwell, vol. 4(4), pages 327-342, October.
    4. Rüdiger Frey, 2000. "Risk Minimization with Incomplete Information in a Model for High‐Frequency Data," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 215-225, April.
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