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Local martingales, arbitrage, and viability

Listed author(s):
  • Mark Loewenstein

    (John M. Olin School of Business, Washington University in Saint Louis, Campus Box 1133, One Brookings Drive, St. Louis, MO 63130-4899, USA)

  • Gregory A. Willard


    (Sloan School of Management, Massachusetts Institute of Technology, 50 Memorial Drive, E52-431, Cambridge, MA 02142, USA)

Registered author(s):

    We revisit a standard model of security prices as Ito processes, and provide some new economic insights about the role of arbitrage and credit limits within such a model. We show that the standard assumptions of a positive state prices and existence of an equivalent martingale measure exclude prices that are viable models of competitive equilibrium and that are potentially useful for modeling actual financial markets. These models have been dismissed in the past as allowing arbitrage, but in fact an agent who prefers more to less and who has limited access to credit may have an optimum.

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    Article provided by Springer & Society for the Advancement of Economic Theory (SAET) in its journal Economic Theory.

    Volume (Year): 16 (2000)
    Issue (Month): 1 ()
    Pages: 135-161

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    Handle: RePEc:spr:joecth:v:16:y:2000:i:1:p:135-161
    Note: Received: June 9, 1999; revised version: October 4, 1999
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