Quantile hedging for basket derivatives

Volume 39 / 2012

Michał Barski Applicationes Mathematicae 39 (2012), 103-127 MSC: 91B30, 91B24, 91B70. DOI: 10.4064/am39-1-7


The problem of quantile hedging for basket derivatives in the Black–Scholes model with correlation is considered. Explicit formulas for the probability maximizing function and the cost reduction function are derived. Applicability of the results to the widely traded derivatives like digital, quantos, outperformance and spread options is shown.


  • Michał BarskiFaculty of Mathematics and Computer Science
    University of Leipzig
    Leipzig, Germany
    Faculty of Mathematics
    Cardinal Stefan Wyszyński University
    01-938 Warszawa, Poland

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