The Fundamental Theorem of Asset Pricing

  • Robert J. Elliott
  • P. Ekkehard Kopp
Part of the Springer Finance book series (FINANCE)


We saw in the previous chapter that the existence of a probability measure Q ~ P under which the (discounted) stock price process is a martingale is sufficient to ensure that the market model is viable; that is, it contains no arbitrage opportunities. We now address the converse: whether for every viable model one can construct an equivalent martingale measure for S, so that the price of a contingent claim can be found as an expectation relative to Q.


Asset Price Market Model Fundamental Theorem Price Process Martingale Measure 
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Robert J. Elliott
    • 1
  • P. Ekkehard Kopp
    • 2
  1. 1.Department of Mathematical SciencesUniversity of AlbertaEdmontonCanada
  2. 2.Pro-Vice-Chancellors’ OfficeThe University of HullHullUK

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