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Option pricing by large risk aversion utility¶under transaction costs

Author

Listed:
  • B. Bouchard
  • Yu. M. Kabanov
  • N. Touzi

Abstract

We consider a multi-asset continuous-time model of a financial market with transaction costs and prove that, for a strongly risk-averse investor, the reservation price of a contingent claim approaches the super-replication price increased by the liquidation value of the initial endowment. Copyright Springer-Verlag Italia 2001

Suggested Citation

  • B. Bouchard & Yu. M. Kabanov & N. Touzi, 2001. "Option pricing by large risk aversion utility¶under transaction costs," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 24(2), pages 127-136, November.
  • Handle: RePEc:spr:decfin:v:24:y:2001:i:2:p:127-136
    DOI: 10.1007/s102030170003
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    Citations

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    Cited by:

    1. Zakamouline, Valeri I., 2006. "European option pricing and hedging with both fixed and proportional transaction costs," Journal of Economic Dynamics and Control, Elsevier, vol. 30(1), pages 1-25, January.
    2. Astic, Fabian & Touzi, Nizar, 2007. "No arbitrage conditions and liquidity," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 692-708, August.
    3. Laurence Carassus & Miklós Rásonyi, 2006. "Convergence of Utility Indifference Prices to the Superreplication Price," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 145-154, August.
    4. Lai, Tze Leung & Lim, Tiong Wee, 2009. "Option hedging theory under transaction costs," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1945-1961, December.
    5. Kabanov, Yuri & Lépinette, Emmanuel, 2013. "Essential supremum and essential maximum with respect to random preference relations," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 488-495.

    More about this item

    Keywords

    Mathematics Subject Classification (2000): 91B28; Journal of Economic Literature Classification: G11;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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