A Counterexample to Several Problems In the Theory of Asset Pricing
We construct a continuous bounded stochastic process ("S"<sub>t</sub>,)"<sub>1E[0,1]</sub>" which admits an equivalent martingale measure but such that the minimal martingale measure in the sense of Föllmer and Schweizer does not exist. This example also answers (negatively) a problem posed by Karatzas, Lehozcky, and Shreve as well as a problem posed by Strieker. Copyright 1993 Blackwell Publishers.