International Journal of Forecasting 30 (2014) 898–917
Contents lists available at ScienceDirect
International Journal of Forecasting
journal homepage: www.elsevier.com/locate/ijforecast
Predicting recessions with a composite real-time dynamic
probit model
Christian R. Proaño
a,∗
, Thomas Theobald
b,1
a
The New School for Social Research, New York, NY, United States
b
Macroeconomic Policy Institute (IMK), Düsseldorf, Germany
article info
Keywords:
Dynamic binary choice models
Out-of-sample forecasting
Yield curve
Real-time econometrics
abstract
In this paper we propose a composite indicator for real-time recession forecasting based
on alternative dynamic probit models. For this purpose, we use a large set of monthly
macroeconomic and financial leading indicators from the German and US economies.
Alternative dynamic probit regressions are specified through automated general-to-
specific and specific-to-general lag selection procedures on the basis of slightly different
initial sets. The resulting recession probability forecasts are then combined in order to
decrease the volatility of the forecast errors and increase their forecasting accuracy. This
procedure features not only good in-sample forecast statistics, but also good out-of-sample
performances, as is illustrated using a real-time evaluation exercise.
© 2014 International Institute of Forecasters. Published by Elsevier B.V. All rights reserved.
1. Introduction
As is widely acknowledged, the timely and accurate
prediction of turning points in the business cycle is one of
the most policy-relevant aspects of macroeconomic fore-
casting. However, this task is also one of the most chal-
lenging. Not only are there many potential nonlinearities
at the onset of a turning point in economic activity, there
is also a significant level of uncertainty around macroeco-
nomic data at the current edge,
2
in addition to the model
uncertainty inherent in all applied work.
With respect to mitigating the model uncertainty prob-
lem, Bates and Granger (1969) were among the first to
propose a combinatorial approach. They showed that the
∗
Corresponding author.
E-mail addresses: christian.proano@gmail.com (C.R. Proaño),
thomas-theobald@boeckler.de (T. Theobald).
1
Also Free University (FU) Berlin, Germany.
2
The current edge is defined as the last observation(s) of a certain
vintage of macroeconomic data. These observations are usually subject
to future data revisions. They are also called end-point data.
inclusion of inferior ex-ante forecasts could increase the
predictive power of the best ex-ante forecasts if the in-
ferior forecasts contained some novel information. More
recently, Timmermann (2006) also emphasized the use-
fulness of forecast combination due to (1) diversification,
(2) structural breaks, (3) misspecification of individual
forecasts, and (4) systematic differences in the individual
loss functions.
In contrast, methods for reducing the uncertainty
inherent in end-point data are less developed. Pesaran
and Timmermann (2005) have stressed the urgent need to
develop robust interactive systems of model specification
and evaluation which are designed explicitly to work in
real time, as ‘‘by setting out in advance a set of rules for
observation windows and variable selection, estimation,
and modification of the econometric model, automation
provides a way to reduce the effects of data snooping
and facilitates learning from the performance of a given
model when applied to a historical data set’’ (Pesaran &
Timmermann, 2005, p. 212).
Binary response models have been used extensively in
the literature for the prediction of business cycle turning
http://dx.doi.org/10.1016/j.ijforecast.2014.02.007
0169-2070/© 2014 International Institute of Forecasters. Published by Elsevier B.V. All rights reserved.