Iterative construction of the optimal Bermudan stopping time
AbstractWe present an iterative procedure for computing the optimal Bermudan stopping time, hence the Bermudan Snell envelope. The method produces an increasing sequence of approximations of the Snell envelope from below, which coincide with the Snell envelope after finitely many steps. Then, by duality, the method induces a convergent sequence of upper bounds as well. In a Markovian setting the presented procedure allows to calculate approximative solutions with only a few nestings of conditional expectations and is therefore tailor-made for a plain Monte Carlo implementation. The method may be considered generic for all discrete optimal stopping problems. The power of the procedure is demonstrated for Bermudan swaptions in a full factor LIBOR market model. Copyright Springer-Verlag Berlin/Heidelberg 2006
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Finance and Stochastics.
Volume (Year): 10 (2006)
Issue (Month): 1 (01)
Contact details of provider:
Web page: http://www.springerlink.com/content/101164/
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- John Schoenmakers, 2012. "A pure martingale dual for multiple stopping," Finance and Stochastics, Springer, vol. 16(2), pages 319-334, April.
- Denis Belomestny & Grigori N. Milstein & Vladimir Spokoiny, 2006.
"Regression methods in pricing American and Bermudan options using consumption processes,"
SFB 649 Discussion Papers
SFB649DP2006-051, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Denis Belomestny & Grigori Milstein & Vladimir Spokoiny, 2009. "Regression methods in pricing American and Bermudan options using consumption processes," Quantitative Finance, Taylor and Francis Journals, vol. 9(3), pages 315-327.
- Joerg Kampen & Anastasia Kolodko & John Schoenmakers, 2008. "Monte Carlo Greeks for financial products via approximative transition densities," Papers 0807.1213, arXiv.org.
- Christoph Reisinger & Rasmus Wissmann, 2012. "Numerical Valuation of Derivatives in High-Dimensional Settings via PDE Expansions," Papers 1209.1909, arXiv.org, revised Oct 2013.
- Denis Belomestny & G. Milstein & John Schoenmakers, 2010. "Sensitivities for Bermudan options by regression methods," Decisions in Economics and Finance, Springer, vol. 33(2), pages 117-138, November.
- John Schoenmakers & Junbo Huang & Jianing Zhang, 2011. "Optimal dual martingales, their analysis and application to new algorithms for Bermudan products," Papers 1111.6038, arXiv.org, revised Feb 2012.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.