Predictive Evaluation of Econometric Forecasting Models in Commodity Futures Markets.pdf
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Predictive Evaluation of Econometric Forecasting Models
in Commodity Futures Markets
Tian Zeng
Aeltus Investment Management, Inc., 242 Trumbull Street, ALT6,
Hartford, CT 06103-1205
phone: 860-275-4924; fax: 860-275-3420;
email: zengt@
and
Norman R. Swanson
Penn State University, 521 Kern Graduate Bldg.,
Department of Economics, University Park, PA 16802
phone: 814-865-2234; fax: 814-863-4775; email:nswanson@
Jan. 1998
ABSTRACT
The predictive accuracy of various econometric models, including random walks, vector autoregressive
and vector error-correction models, are investigated using daily futures prices of 4 commodities (the
SP500 index, treasury bonds, gold and crude oil). All models are estimated using a rolling window
approach, and evaluated by both in-sample and out-of-sample performance measures. The criteria
considered include system criteria, where we evaluate multi-equation forecasting models, and univariate
forecast accuracy criteria. The five univariate criteria are root mean square error (RMSE), mean absolute
deviation (MAD), mean absolute percentage error (MAPE), confusion matrix (CM), and confusion rate
(CR). The five system criteria used include the trace of second moment matrix of the forecast errors
matrix (TMSE), the trace of second moment matrix of percentage forecast errors (TMAPE), the
generalized forecast error second moment matrix (GFESM), and a trading-rule profit criterion (TPC)
based on a maximum-spread trading strategy. An in-sample criterio
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