Open Access
August 2015 Strict local martingales and bubbles
Constantinos Kardaras, Dörte Kreher, Ashkan Nikeghbali
Ann. Appl. Probab. 25(4): 1827-1867 (August 2015). DOI: 10.1214/14-AAP1037


This paper deals with asset price bubbles modeled by strict local martingales. With any strict local martingale, one can associate a new measure, which is studied in detail in the first part of the paper. In the second part, we determine the “default term” apparent in risk-neutral option prices if the underlying stock exhibits a bubble modeled by a strict local martingale. Results for certain path dependent options and last passage time formulas are given.


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Constantinos Kardaras. Dörte Kreher. Ashkan Nikeghbali. "Strict local martingales and bubbles." Ann. Appl. Probab. 25 (4) 1827 - 1867, August 2015.


Received: 1 December 2013; Published: August 2015
First available in Project Euclid: 21 May 2015

zbMATH: 1336.91076
MathSciNet: MR3348996
Digital Object Identifier: 10.1214/14-AAP1037

Primary: 60G30 , 60G44 , 91G20 , 91G99

Keywords: bubbles , strict local martingales

Rights: Copyright © 2015 Institute of Mathematical Statistics

Vol.25 • No. 4 • August 2015
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