Mårten Marcus, KTH: A nonparametric alternative to the Longstaff-Schwartz estimation of conditional expectations for pricing of Bermudan options.

A nonparametric alternative to the Longstaff-Schwartz estimation of conditional expectations is suggested for pricing of Bermudan options. The method is based on regularization of a least-squares minimization, with a Tikhonov-type smoothing put on the partial differential equation which characterizes the underlying price processes. This approach can hence be viewed as a combination of the Monte Carlo method with the PDE method for the estimation of conditional expectations. The esti- mation method turns out to be robust with regard to the size of the smoothing parameter."

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