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On the Hansen-Jagannathan Distance with a No-Arbitrage Constraint


Nikolay Gospodinov


Concordia University, Quebec - Department of Economics

Cesare Robotti


Federal Reserve Bank of Atlanta; EDHEC Risk Institute

Raymond Kan


University of Toronto - Rotman School of Management

March 28, 2012


Abstract:     
We provide an in-depth analysis of the theoretical properties of the Hansen-Jagannathan (HJ) distance that incorporates a no-arbitrage constraint. Under a multivariate elliptical distribution assumption, we present explicit expressions for the HJ-distance with a no-arbitrage constraint, the associated Lagrange multipliers, and the SDF parameters in the case of linear SDFs. This allows us to analyze the benefits and costs of using the HJ-distance with a no-arbitrage constraint to rank models. Finally, we demonstrate the practical relevance of our theoretical findings in an empirical illustration of some popular asset pricing models.

Number of Pages in PDF File: 53

Keywords: Hansen-Jagannthan distrance, no-arbitrage constraint, model comparison

JEL Classification: G12, C12, C13

working papers series


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Date posted: January 13, 2010 ; Last revised: April 2, 2012

Suggested Citation

Gospodinov, Nikolay, Robotti, Cesare and Kan, Raymond, On the Hansen-Jagannathan Distance with a No-Arbitrage Constraint (March 28, 2012). Available at SSRN: http://ssrn.com/abstract=1534727 or http://dx.doi.org/10.2139/ssrn.1534727

Contact Information

Nikolay Gospodinov
Concordia University, Quebec - Department of Economics ( email )
Montreal, Quebec H3G 1MB
Canada
Cesare Robotti
Federal Reserve Bank of Atlanta ( email )
1000 Peachtree Street NE
Atlanta, GA 30309-4470
United States
404-498-8543 (Phone)
404-498-8810 (Fax)
EDHEC Risk Institute ( email )
Lille
France
Raymond Kan (Contact Author)
University of Toronto - Rotman School of Management ( email )
105 St. George Street
Toronto, Ontario M5S 3E6
Canada
416-978-4291 (Phone)
416-971-3048 (Fax)
Feedback to SSRN (Beta)


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