Journal of Investment Strategies
ISSN:
2047-1238 (print)
2047-1246 (online)
Editor-in-chief: Ali Hirsa
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Momentum strategies with the L1 filter
Tung-Lam Dao
Abstract
ABSTRACT
This filter consists of using an L1 penalty condition in order to obtain the filtered signal composed by a set of straight trends or steps. This penalty condition, which determines the number of breaks, is implemented in a constrained least square problem and is represented by a regularization parameter, (lambda), which is estimated by a cross-validation procedure. Financial time series are usually characterized by a long-term trend (called the global trend) and some short-term trends (which are named local trends). A combination of these two timescales can form a simple model describing the process of a global trend process with some mean-reverting properties. Explicit applications to momentum strategies are also discussed in detail with appropriate uses of the trend configurations.
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