Arbeitspapier

Sensitivities for Bermudan options by regression methods

In this article we propose several pathwise and finite difference based methods for calculating sensitivities of Bermudan options using regression methods and Monte Carlo simulation. These methods rely on conditional probabilistic representations which allow, in combination with a regression approach, for efficient simultaneous computation of sensitivities at many initial positions. Assuming that the price of a Bermudan option can be evaluated sufficiently accurate, we develop a method for constructing deltas based on least squares. We finally propose a testing procedure for assessing the performance of the developed methods.

Sprache
Englisch

Erschienen in
Series: SFB 649 Discussion Paper ; No. 2007,048

Klassifikation
Wirtschaft
Thema
American and Bermudan options
Optimal stopping times
Monte Carlo simulation
Deltas
Conditional probabilistic representations
Regression methods
Optionspreistheorie
Suchtheorie
Regression
Monte-Carlo-Methode
Theorie

Ereignis
Geistige Schöpfung
(wer)
Belomestny, Denis
Milstein, Grigori N.
Schoenmakers, John G. M.
Ereignis
Veröffentlichung
(wer)
Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
(wo)
Berlin
(wann)
2007

Handle
Letzte Aktualisierung
10.03.2025, 11:45 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Belomestny, Denis
  • Milstein, Grigori N.
  • Schoenmakers, John G. M.
  • Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk

Entstanden

  • 2007

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