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Activity Number: 344
Type: Invited
Date/Time: Tuesday, August 4, 2009 : 2:00 PM to 3:50 PM
Sponsor: Business and Economic Statistics Section
Abstract - #302754
Title: Bagging Constrained Forecasts with Application to Forecasting Equity Premium
Author(s): Eric Hillebrand and Tae-Hwy Lee*+ and Marcelo C. Medeiros
Companies: Louisiana State University and University of California, Riverside and Pontifical Catholic University Rio
Address: Department of Economics, Riverside, CA, 92521-0427,
Keywords: bagging ; equity premium ; restricted estimation ; restricted forecast ; out-of-sample forecast
Abstract:

The literature on excess return prediction has considered a wide array of estimation schemes, among them unrestricted and restricted regression coefficients. We propose bootstrap aggregation (bagging) as a means of imposing parameter restrictions. In this context, bagging results in a soft threshold as opposed to the hard threshold that is implied by a simple restricted estimation. We show analytically that the resulting forecast has lower variance than the forecast that results from a simple restricted estimator. In an empirical application using the same data set as in Campbell and Thompson (2008), "Predicting the Equity Premium Out of Sample: Can Anything Beat the Historical Average?", we show that the resulting forecasts have more predictive power than those resulting from simple parameter restrictions.


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