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A New Perspective on Gaussian Dynamic Term Structure Models

ANew Perspective on Gaussian DynamicTerm Structure ModelsScottJoslinMIT Sloan School of ManagementKenneth J. SingletonGraduate School of Business, Stanford University, and NBERH aoxiang ZhuGraduate School of Business, Stanford UniversityInany canonical Gaussian Dynamic term Structure model (GDTSM), the conditional fore-casts of the pricing factors are invariant to the imposition of no- arbitrage restrictions. Thisinvariance is maintained even in the presence of a variety of restrictions on the factorstructure of bond yields. To establish these results, we develop a novel canonicalGDTSMin which the pricing factors are observable portfolios of yields. For our normalization,standard maximum likelihood algorithms converge to the global optimum almost instanta-neously.

A New Perspective on Gaussian Dynamic Term Structure Models We show that, within any canonical GDTSM and for any sample of bond yields, imposing no-arbitrage does not affect the conditionalPexpectation of

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