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arxiv: 0908.1082 · v4 · submitted 2009-08-07 · 💱 q-fin.PR

Strict Local Martingale Deflators and Pricing American Call-Type Options

classification 💱 q-fin.PR
keywords americancall-typelocalmartingaleoptionspricingadmitanalysis
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We solve the problem of pricing 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 Fernholz and Karatzas [Stochastic Portfolio Theory: A Survey, Handbook of Numerical Analysis, 15:89-168, 2009].

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