Economics at your fingertips  

Optimal martingales and American option pricing

Mario Cerrato and Abdollah Abbasyan

Working Papers from Business School - Economics, University of Glasgow

Abstract: Pricing American options is an interesting research topic since there is no ana- lytical solution to value these derivatives. Di¤erent numerical methods have been proposed in the literature with some, if not all, either limited to a speci c payo¤ or not applicable to multidimensional cases. Applications of Monte Carlo meth- ods to price American options is a relatively new area that started with Longsta¤ and Schwartz (2001). Since then, few variations of that methodology have been pro- posed. The general conclusion is that Monte Carlo estimators tend to underestimate the true option price. The present paper follows Glasserman and Yu (2004b) and proposes a novel Monte Carlo approach, based on designing "optimal martingales" to determine stopping times. We show that our martingale approach can also be used to compute the dual as described in Rogers (2002).

Keywords: American options; Monte Carlo method (search for similar items in EconPapers)
JEL-codes: G10 G14 (search for similar items in EconPapers)
Date: 2009-07
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed

Downloads: (external link) (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

Access Statistics for this paper

More papers in Working Papers from Business School - Economics, University of Glasgow
Contact information at EDIRC.
Series data maintained by Jeanette Findlay ().

Page updated 2014-09-14
Handle: RePEc:gla:glaewp:2009_27