Time-Consistent Asymptotic Exponential Arbitrage with Small Probable Maximum Loss
Based on a concept of asymptotic exponential arbitrage proposed by Föllmer-Schachermayer, the author introduces a new formulation of asymptotic arbitrage with two main differences from the previous one: Firstly, the realising strategy does not depend on the maturity time while the previous one does, and secondly, the probable maximum loss is allowed to be small constant instead of a decreasing function of time. The main result gives a sufficient condition on stock prices for the existence of such asymptotic arbitrage. As a consequence, she gives a new proof of a conjecture of Föllmer and Schachermayer.
KeywordsAsymptotic arbitrage Time-consistent Small probable maximum loss
2000 MR Subject Classification91G10
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