A Backward Dual Representation for the Quantile Hedging of Bermudan Options

作者:Bouchard Bruno*; Bouveret Geraldine; Chassagneux Jean Francois
来源:SIAM Journal on Financial Mathematics, 2016, 7(1): 215-235.
DOI:10.1137/15M1029461

摘要

Within a Markovian complete financial market, we consider the problem of hedging a Bermudan option with a given probability. Using stochastic target and duality arguments, we derive a backward algorithm for the Fenchel transform of the pricing function. This algorithm is similar to the usual American backward induction, except that it requires two additional Fenchel transformations at each exercise date. We provide numerical illustrations.

  • 出版日期2016

全文