Analytical solution for the constrained Hansen-Jagannathan distance under multivariate ellipticity

Nikolay Gospodinov, Raymond Kan and Cesare Robotti ()

No 2012-18, FRB Atlanta Working Paper from Federal Reserve Bank of Atlanta

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 approach allows us to analyze the benefits and costs of using the HJ-distance with a no-arbitrage constraint to rank asset pricing models.

Date: 2012
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