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The paper deals with defaultable markets, one of the main research areas of mathematical finance. It proposes a new approach to the theory of such markets using techniques from the calculus of optional stochastic processes on unusual probability spaces, which was not presented before. The paper...
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thoroughly studied in the economic literature, a mathematical martingale theory of bubbles, based on an absence of arbitrage has … construct a flow in the space of equivalent martingale measures and we study the shifting perception of the fundamental value of … martingale measure used for pricing. In this way we are able to unify the classical martingale theory of bubbles with a …
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