The joint law of the maximum and terminal value of a martingale |
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Authors: | L. C. G. Rogers |
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Affiliation: | (1) School of Mathematical Sciences, Queen Mary & Westfield College, Mile End Road, E1 4NS London, UK |
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Abstract: | Summary In this paper, we characterise the possible joint laws of the maximum and terminal value of a uniformly-integrable martingale. We also characterise the joint laws of the maximum and terminal value of a convergent continuous local martingale vanishing at zero. A number of earlier results on the possible laws of the maximum can be deduced quite easily. |
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Keywords: | 60G44 60J65 60G55 |
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