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Risk Aversion and the Bid–Ask Spread

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  • P. Roger
  • L. Eeckhoudt

Abstract

This paper studies the properties of bid and ask prices posted by a monopolistic market maker, without parametric assumptions about the utility function of the market maker or about the probability distribution of the return of the risky asset. We first prove that the two prices can be higher or lower than the expected value of the asset, and that the spread is decreasing in the initial wealth when the market maker exhibits decreasing absolute risk aversion. We conclude by some examples illustrating the fact that almost all shapes can be obtained for the bid–ask spread (as a function of the inventory) depending on the probability distribution of the payment of the risky asset.

Suggested Citation

  • 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, November.
    • Handle: RePEc:bla:eufman:v:5:y:1999:i:3:p:323-340
    DOI: 10.1111/1468-036X.00098
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    Cited by:

    1. Christian At & Laurent Flochel & Patrick Roger, 2002. "Market-making, inventories and martingale pricing," Post-Print halshs-00178162, HAL.
    2. Christos Giannikos & Hany Guirguis & Tin Shan Suen, 2012. "Modelling the Blind Principal Bid Basket Trading Cost," European Financial Management, European Financial Management Association, vol. 18(2), pages 271-302, March.
    3. Moez Abouda & Alain Chateauneuf, 2002. "Positivity of bid-ask spreads and symmetrical monotone risk aversion ," Theory and Decision, Springer, vol. 52(2), pages 149-170, March.
    4. 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.
    5. Abouda, Moez & Chateauneuf, Alain, 2002. "Characterization of symmetrical monotone risk aversion in the RDEU model," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 1-15, September.

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