Conditional beta pricing modelsA nonparametric approach

  1. Ferreira García, Eva
  2. Gil Bazo, Javier
  3. Orbe Mandaluniz, Susan
Documentos de Trabajo BILTOKI

ISSN: 1134-8984

Year of publication: 2010

Issue: 10

Type: Working paper

More publications in: Documentos de Trabajo BILTOKI


We propose a two-stage procedure to estimate conditional beta pricing models that allow for flexibility in the dynamics of assets� covariances with risk factors and market prices of risk (MPR). First, conditional covariances are estimated nonparametrically for each asset and period using the time-series of previous data. Then, time-varying MPR are estimated from the cross-section of returns and covariances using the entire sample. We prove the consistency and asymptotic normality of the estimators. Results from a Monte Carlo simulation for the three-factor model of Fama and French (1993) suggest that nonparametrically estimated betas outperform rolling betas under different specifications of beta dynamics. Using return data on the 25 size and book-tomarket sorted portfolios, we find that MPR associated with the three Fama-French factors exhibit substantial variation through time. Finally, the flexible version of the three-factor model beats alternative parametric specifications in terms of forecasting future returns.