When Factors Don't Span Their Basis Portfolios
Posted: 5 Jun 2016 Last revised: 2 Feb 2019
Date Written: June 2, 2016
To price assets with a parsimonious set of factor mimicking portfolios, one typically identifies and weights well-diversified basis portfolios. Traditional weightings lead to factor mimicking portfolios that are unlikely to price even the basis portfolios they are formed from. We offer a method to combine basis portfolios into a single factor mimicking portfolio that is closely linked to the optimal portfolio. In practice, this method improves the pricing accuracy of parsimonious factor models, even for anomaly portfolios formed from characteristics that are distinct from those underlying the basis portfolios.
Keywords: Factor Models, Mean Variance Efficient Portfolios, Jackknife Estimators, HML, SMB
JEL Classification: G12, G14
Suggested Citation: Suggested Citation