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Market-making, inventories and martingale pricing

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Author Info

  • Christian At

    (GATE - Groupe d'analyse et de théorie économique - CNRS : UMR5824 - Université Lumière - Lyon II - Ecole Normale Supérieure Lettres et Sciences Humaines)

  • Laurent Flochel

    (GATE - Groupe d'analyse et de théorie économique - CNRS : UMR5824 - Université Lumière - Lyon II - Ecole Normale Supérieure Lettres et Sciences Humaines)

  • Patrick Roger

    (LARGE - Laboratoire de recherche en gestion et économie - Université Robert Schuman - Strasbourg III - Université Louis Pasteur - Strasbourg I)

Abstract

We discuss Shen and Starr(2002) results and show that the bid-ask spread of a monopolistic market-marker doesn't depend on his inventory when he posts ''martingale prices '' in an inventory model with random volumes and an unknown direction of trade.

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Bibliographic Info

Paper provided by HAL in its series Post-Print with number halshs-00178162.

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Date of creation: Jun 2002
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Handle: RePEc:hal:journl:halshs-00178162

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00178162/en/
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Related research

Keywords: bid ask spread; market maker; martingale pricing;

References

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  1. Biais, Bruno, 1993. " Price Information and Equilibrium Liquidity in Fragmented and Centralized Markets," Journal of Finance, American Finance Association, vol. 48(1), pages 157-85, March.
  2. Ho, Thomas & Stoll, Hans R., 1981. "Optimal dealer pricing under transactions and return uncertainty," Journal of Financial Economics, Elsevier, vol. 9(1), pages 47-73, March.
  3. P. Roger & L. Eeckhoudt, 1999. "Risk Aversion and the Bid-Ask Spread," European Financial Management, European Financial Management Association, vol. 5(3), pages 323-340.
  4. Amihud, Yakov & Mendelson, Haim, 1980. "Dealership market : Market-making with inventory," Journal of Financial Economics, Elsevier, vol. 8(1), pages 31-53, March.
  5. Roger, Patrick, 2000. "Properties of bid and ask reservation prices in the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 269-285, November.
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