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A Practical Guide to GMM (with Applications to Option Pricing)


Tom Arnold


University of Richmond - E. Claiborne Robins School of Business

Timothy Falcon Crack


University of Otago - Department of Finance and Quantitative Analysis

October 1999


Abstract:     
Generalized Method of Moments (GMM) is underutilized in financial economics because it is not adequately explained in the literature. We use a simple example to explain how and why GMM works. We then illustrate practical GMM implementation by estimating and testing the Black-Scholes option pricing model using S&P 500 index options data. We identify problem areas in implementation and we give practical GMM estimation advice, troubleshooting tips, and pseudo code. We pay particular attention to proper choice of moment conditions, exactly-identified versus over-identified estimation, estimation of Newey-West standard errors, and numerical optimization in the presence of multiple extrema.

Number of Pages in PDF File: 74

Keywords: Generalized Method of Moments, GMM, Newey-West, Option Pricing, Black-Scholes

JEL Classification: A23, C13, C23, G13

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Date posted: May 10, 2001  

Suggested Citation

Arnold, Tom M. and Crack, Timothy Falcon, A Practical Guide to GMM (with Applications to Option Pricing) (October 1999). Available at SSRN: http://ssrn.com/abstract=268828 or http://dx.doi.org/10.2139/ssrn.268828

Contact Information

Thomas M. Arnold (Contact Author)
University of Richmond - E. Claiborne Robins School of Business ( email )
1 Gateway Drive
Richmond, VA 23173
United States
804-287-6399 (Phone)
804-289-8878 (Fax)
Timothy Falcon Crack
University of Otago - Department of Finance and Quantitative Analysis ( email )
Dunedin
New Zealand
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