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
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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)
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Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
- (wo)
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Berlin
- (wann)
-
2006
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:44 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Belomestny, Denis
- Milstein, Grigori N.
- Spokoiny, Vladimir
- Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
Entstanden
- 2006