Finance and Stochastics

, Volume 16, Issue 2, pp 275–291 | Cite as

Strict local martingale deflators and valuing American call-type options

  • Erhan Bayraktar
  • Constantinos Kardaras
  • Hao Xing


We solve the problem of valuing and optimal exercise of American call-type options in markets which do not necessarily admit an equivalent local martingale measure. This resolves an open question proposed by Karatzas and Fernholz (Handbook of Numerical Analysis, vol. 15, pp. 89–167, Elsevier, Amsterdam, 2009).


Strict local martingales Deflators American call options 

Mathematics Subject Classification (2000)

60G40 60G44 

JEL Classification

G13 C60 


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Erhan Bayraktar
    • 1
  • Constantinos Kardaras
    • 2
  • Hao Xing
    • 3
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of Mathematics and StatisticsBoston UniversityBostonUSA
  3. 3.Department of StatisticsLondon School of Economics and Political ScienceLondonUK

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