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The construction of martingales with given marginal distributions at given times is a recurrent problem in financial mathematics. From a theoretical point of view, this problem is well-known as necessary and sufficient conditions for the existence of such martingales have been described....
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We consider controller-stopper problems in which the controlled processes can have jumps. The global filtration is represented by the Brownian filtration, enlarged by the filtration generated by the jump process. We assume that there exists a conditional probability density function for the jump...
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VIX options from vanilla options and VIX futures. This leads us to introduce a new martingale optimal transportation …
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markets ; martingale measure ; generalized self-financing strategy ; attainability ; self-financing in mean …The paper focuses on the problem of pricing and hedging a European contingent claim for an incomplete market model, in … function is evaluated using the martingale approach. The equivalent martingale measure is introduced in a way that the Markov …
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