Canonical Least-Squares Monte Carlo Valuation of American Options : Convergence and Empirical Pricing Analysis
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-03
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The paper by Liu (2010) introduces a method termed the canonical least-squares Monte Carlo (CLM) which combines a martingale-constrained entropy model and a least-squares Monte Carlo algorithm to price American options.
In this paper, we first provide the convergence results of CLM and numerically examine the convergence properties.
Then, the comparative analysis is empirically conducted using a large sample of the S&P 100 Index (OEX) puts and IBM puts.
The results on the convergence show that choosing the shifted Legendre polynomials with four regressors is more appropriate considering the pricing accuracy and the computational cost.
With this choice, CLM method is empirically demonstrated to be superior to the benchmark methods of binominal tree and finite difference with historical volatilities.
American Psychological Association (APA)
Yu, Xisheng& Liu, Qiang. 2014. Canonical Least-Squares Monte Carlo Valuation of American Options : Convergence and Empirical Pricing Analysis. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-496921
Modern Language Association (MLA)
Yu, Xisheng& Liu, Qiang. Canonical Least-Squares Monte Carlo Valuation of American Options : Convergence and Empirical Pricing Analysis. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-496921
American Medical Association (AMA)
Yu, Xisheng& Liu, Qiang. Canonical Least-Squares Monte Carlo Valuation of American Options : Convergence and Empirical Pricing Analysis. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-496921
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496921