Arbeitspapier

Regression methods in pricing American and Bermudan options using consumption processes

Here we develop methods for efficient pricing multidimensional discrete time American and Bermudan options by using regression based algorithms together with a new approach towards constructing upper bounds for the price of the option. Applying the sample space with payoffs at the optimal stopping times, we propose sequential estimates for continuation values, values of the consumption process, and stopping times on the sample paths. The approach admits constructing both low and upper bounds for the price by Monte Carlo simulations. The methods are illustrated by pricing Bermudan swaptions and snowballs in the Libor market model.

Sprache
Englisch

Erschienen in
Series: SFB 649 Discussion Paper ; No. 2006,051

Klassifikation
Wirtschaft
Thema
American and Bermudan options
Low and Upper bounds
Monte Carlo simulations
Consumption process
Regression methods
Optimal stopping times

Ereignis
Geistige Schöpfung
(wer)
Belomestny, Denis
Milstein, Grigori N.
Spokoiny, Vladimir
Ereignis
Veröffentlichung
(wer)
Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
(wo)
Berlin
(wann)
2006

Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Belomestny, Denis
  • Milstein, Grigori N.
  • Spokoiny, Vladimir
  • Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk

Entstanden

  • 2006

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