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A Simple Counterexample to Several Problems in the Theory of Asset Pricing

Freddy Delbaen and Walter Schachermayer

Mathematical Finance, 1998, vol. 8, issue 1, 1-11

Abstract: We give an easy example of two strictly positive local martingales that fail to be uniformly integrable, but such that their product is a uniformly integrable martingale. The example simplifies an earlier example given by the second author. We give applications in mathematical finance and we show that the phenomenon is present in many incomplete markets.

Date: 1998
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Citations: View citations in EconPapers (32)

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