Valuing American Derivatives by Least Squares Methods
AbstractLeast Squares estimators are notoriously known to generate sub-optimal exercise decisions when determining the optimal stopping time. The consequence is that the price of the option will be underestimated. We show how to use variance reduction techniques to extend some recent Monte Carlo estimators for option pricing and assess their performance in finite samples. Finally, we extend the Longstaff and Schwartz (2001) method to price American options under stochastic volatility. This is the first study to implement and apply the Glasserman and Yu (2004b) methodology to price Asian options and basket options.
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Bibliographic InfoPaper provided by Business School - Economics, University of Glasgow in its series Working Papers with number 2008_12.
Date of creation: Apr 2008
Date of revision: Sep 2008
American options; Monte Carlo method;
Other versions of this item:
- Cerrato, Mario, 2008. "Valuing American Derivatives by Least Squares Methods," SIRE Discussion Papers 2008-44, Scottish Institute for Research in Economics (SIRE).
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
- Boyle, Phelim & Broadie, Mark & Glasserman, Paul, 1997. "Monte Carlo methods for security pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1267-1321, June.
- Cerrato, Mario & Abbasyan, Abdollah, 2009.
"Optimal Martingales and American Option Pricing,"
SIRE Discussion Papers
2009-38, Scottish Institute for Research in Economics (SIRE).
- Mario Cerrato & Abdollah Abbasyan, 2009. "Optimal martingales and American option pricing," Working Papers 2009_27, Business School - Economics, University of Glasgow.
- Cerrato, Mario & Abbasyan, Abdollah, 2008. "Optimal Martingales and American Option Pricing," SIRE Discussion Papers 2008-36, Scottish Institute for Research in Economics (SIRE).
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