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Local Adaptive Multiplicative Error Models for High‐Frequency Forecasts
Author(s) -
Härdle Wolfgang K.,
Hautsch Nikolaus,
Mihoci Andrija
Publication year - 2014
Publication title -
journal of applied econometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.878
H-Index - 99
eISSN - 1099-1255
pISSN - 0883-7252
DOI - 10.1002/jae.2376
Subject(s) - multiplicative function , econometrics , computer science , estimation , algorithm , mathematical optimization , mathematics , economics , mathematical analysis , management
Summary We propose a local adaptive multiplicative error model (MEM) accommodating time‐varying parameters. MEM parameters are adaptively estimated based on a sequential testing procedure. A data‐driven optimal length of local windows is selected, yielding adaptive forecasts at each point in time. Analysing 1‐minute cumulative trading volumes of five large NASDAQ stocks in 2008, we show that local windows of approximately 3 to 4 hours are reasonable to capture parameter variations while balancing modelling bias and estimation (in)efficiency. In forecasting, the proposed adaptive approach significantly outperforms a MEM where local estimation windows are fixed on an ad hoc basis. Copyright © 2014 John Wiley & Sons, Ltd.