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Local times of ranked continuous semimartingales
Authors:Adrian D. Banner  Raouf Ghomrasni
Affiliation:1. INTECH, One Palmer Square Suite 441, Princeton, NJ 08542, USA;2. Programme in Advanced Mathematics of Finance, School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits, 2050 Johannesburg, South Africa
Abstract:Given a finite collection of continuous semimartingales, we derive a semimartingale decomposition of the corresponding ranked (order-statistics) processes. We apply the decomposition to extend the theory of equity portfolios generated by ranked market weights to the case where the stock values admit triple points.
Keywords:primary, 60H10, 91B28   secondary, 60J55
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