Working papers results

2008 - n° 341 29/08/2008

We develop and estimate a medium scale macroeconomic model that allows for unemployment
and staggered nominal wage contracting. In contrast to most existing quantitative models,
employment adjustment is on the extensive margain and the employment of existing workers is
efficient. Wage rigidity, however, affects the hiring of new workers. The former is introduced
via the staggered Nash bargaing setup of Gertler and Trigari (2006). A robust finding is that
the model with wage rigidity provides a better description of the data than does a flexible wage
version. Overall, the model fits the data roughly as well as existing quantitative macroeconomic
models, such as Smets and Wouters (2007) or Christiano, Eichenbaum and Evans (2005). More
work is necessary, however, to ensure a robust identification of the key labor market parameters.

Mark Gertler, Luca Sala and Antonella Trigari
2008 - n° 340 01/07/2008
We use an interactive epistemology framework to provide a systematic analysis of some solu- tion concepts for games with asymmetric information. We characterize solution concepts using expressible epistemic assumptions, represented as events in the canonical space generated by primitive uncertainty about the payoff relevant state, payoff irrelevant information, and actions. In most of the paper we adopt an interim perspective, which is appropriate to analyze genuine incomplete information. We relate Delta-rationalizability (Battigalli and Siniscalchi, 2003) to interim correlated rationalizability (Dekel, Fudenberg, and Morris, 2007) and to rationalizability in the interim strategic form. We also consider the ex ante perspective, which is appropriate to ana- lyze asymmetric information about an initial chance move. We prove the equivalence between interim correlated rationalizability and an ex ante notion of correlated rationalizability.

Pierpaolo Battigalli, Alfredo Di Tillio, Edoardo Grillo and Antonio Penta
Keywords: asymmetric information, type spaces, Bayesian games, rationalizability
2008 - n° 339 04/04/2008
We study the relation between the off-shoring of intermediates and services
and productivity growth in the Italian manufacturing industries in 1995-2003.
Our results indicate that the off-shoring of intermediates within the same
industry (narrow off-shoring) is beneficial for productivity growth, while
the off-shoring of services is not. We also find that the way in which off-
shoring is measured may matter considerably. The positive relation between off-
shoring of intermediates and productivity growth is there with our direct
measures based on input-output data but disappears when either a broad measure
or the Feenstra-Hanson off-shoring measure employed in other studies are used
instead.

Francesco Daveri and Cecilia Jona-Lasinio
Keywords: Off-shoring; productivity growth; Italy's decline; Manufacturing
2008 - n° 338 04/04/2008
We consider a model in which voters over time receive more information about
their preferences concerning an irreversible social decision. Voters can either implement
the project in the first period, or they can postpone the decision to the
second period. We analyze the effects of different majority rules. Individual first
period voting behavior may become "less conservative" under supermajority rules,
and it is even possible that a project is implemented in the first period under a
supermajority rule that would not be implemented under simple majority rule.
We characterize the optimal majority rule, which is a supermajority rule. In
contrast to individual investment problems, society may be better off if the option
to postpone the decision did not exist. These results are qualitatively robust to
natural generalizations of our model.

Matthias Messner and Mattias K. Polborn
Keywords: supermajority rules, information, investment, option value
2008 - n° 337 26/03/2008
We analyze the effect of judicial errors on the innovative activity of firms.
If successful, the innovative effort allows to take new actions that may be ex-post wel-
fare enhancing (legal) or decreasing (illegal). Deterrence in this setting works by affecting
the incentives to invest in innovation (average deterrence). Type-I errors, through over-
enforcement, discourage innovative effort while type-II errors (under-enforcement) spur it.
The ex-ante expected welfare effect of innovations shapes the optimal policy design. When
innovations are ex-ante welfare improving, laissez-faire is chosen. When innovations are
instead welfare decreasing, law enforcement should limit them through average deterrence.
We consider several policy environments differing in the instruments available. Enforcement
effort is always positive and fines are (weakly) increasing in the social loss of innovations. In
some cases accuracy is not implemented, contrary to the traditional model where it always
enhances (marginal) deterrence, while in others it is improved selectively only on type-II
errors (asymmetric protocols of investigation).

Giovanni Immordino and Michele Polo
Keywords: norm design, innovative activity, enforcement, errors
2008 - n° 336 25/03/2008
In 2003 the Brazilian central government (CG) launched an anti-corruption program. Since then municipalities have been randomly selected to be audited on a monthly basis. Evidence in the literature suggests that the probability of re-election of an incumbent mayor decreases as the number of reported corruption violations rises before the municipal elections. By exploiting the exogenous variation in the timing of the release of the audit reports and the Brazilian institutional scheme, this paper sheds light on the mechanisms through which the Brazilian anti-corruption program functions. After the release of the audit reports, municipalities where more than two corruption violations were reported receive 26% fewer transfers from the CG. Total expenditure on infrastructure is also reduced. While the CG increases the amount of transfers to municipalities where the mayor is both affiliated with the partys president and found to be honest, it helps politically aligned municipalities with high levels of released corruption to move through the punishment process more quickly. The effects of the dissemination of corruption information on the probability of re-election of incumbent mayors seem to gradually disappear with time. Yet, when these effects have completely faded and voters have time to feel the consequences of receiving fewer transfers, the probability of re-election of corrupt politicians decreases.

Fernanda Brollo
Keywords: Intergovernmental transfers, corruption, accountability, decentralization
2008 - n° 335 12/02/2008
This paper brings together several important strands of the econometrics literature: errorcorrection,
cointegration and dynamic factor models. It introduces the Factor-augmented Error
Correction Model (FECM), where the factors estimated from a large set of variables in levels
are jointly modelled with a few key economic variables of interest. With respect to the standard
ECM, the FECM protects, at least in part, from omitted variable bias and the dependence of
cointegration analysis on the specific limited set of variables under analysis. It may also be in
some cases a refinement of the standard Dynamic Factor Model (DFM), since it allows us to
include the error correction terms into the equations, and by allowing for cointegration prevent
the errors from being non-invertible moving average processes. In addition, the FECM is a
natural generalization of factor augmented VARs (FAVAR) considered by Bernanke, Boivin and
Eliasz (2005) inter alia, which are specified in first differences and are therefore misspecified in
the presence of cointegration. The FECM has a vast range of applicability. A set of Monte Carlo
experiments and two detailed empirical examples highlight its merits in finite samples relative to
standard ECM and FAVAR models. The analysis is conducted primarily within an in-sample
framework, although the out-of-sample implications are also explored.

Anindya Banerjee and Massimiliano Marcellino
Keywords: Dynamic FactorModels, Error CorrectionModels, Cointegration, Factor-augmented Error Correction Models, VAR, FAVAR
2008 - n° 334 12/02/2008
We conduct a detailed simulation study of the forecasting performance of
diffusion index-based methods in short samples with structural change. We
consider several data generation processes, to mimic different types of
structural change, and compare the relative forecasting performance of factor
models and more traditional time series methods. We find that changes in the
loading structure of the factors into the variables of interest are extremely
important in determining the performance of factor models. We complement
the analysis with an empirical evaluation of forecasts for the key
macroeconomic variables of the Euro area and Slovenia, for which relatively
short samples are officially available and structural changes are likely. The
results are coherent with the findings of the simulation exercise, and confirm
the relatively good performance of factor-based forecasts also in short samples
with structural change.

Anindya Banerjee, Massimiliano Marcellino and Igor Masten
Keywords: Factor models, forecasts, time series models, structural change, shortsamples, parameter uncertainty
2008 - n° 333 12/02/2008
This paper compares different ways to estimate the current state of the economy using factor
models that can handle unbalanced datasets. Due to the different release lags of business cycle
indicators, data unbalancedness often emerges at the end of multivariate samples, which is some-
times referred to as the 'ragged edge' of the data. Using a large monthly dataset of the German
economy, we compare the performance of different factor models in the presence of the ragged edge:
static and dynamic principal components based on realigned data, the Expectation-Maximisation
(EM) algorithm and the Kalman smoother in a state-space model context. The monthly factors
are used to estimate current quarter GDP, called the 'nowcast', using different versions of what
we call factor-based mixed-data sampling (Factor-MIDAS) approaches. We compare all possible
combinations of factor estimation methods and Factor-MIDAS projections with respect to now-
cast performance. Additionally, we compare the performance of the nowcast factor models with
the performance of quarterly factor models based on time-aggregated and thus balanced data,
which neglect the most timely observations of business cycle indicators at the end of the sample.
Our empirical findings show that the factor estimation methods don't differ much with respect
to nowcasting accuracy. Concerning the projections, the most parsimonious MIDAS projection
performs best overall. Finally, quarterly models are in general outperformed by the nowcast factor
models that can exploit ragged-edge data.

Massimiliano Marcellino and Christian Schumacher
Keywords: nowcasting, business cycle, large factor models, mixed-frequency data, missing values, MIDAS
2008 - n° 332 28/01/2008
A reduction in income tax rates generates substantial dynamic responses within the frame-
work of the standard neoclassical growth model. The short-run revenue loss after an in-
come tax cut is partly -- or, depending on parameter values, even completely -- offset
by growth in the long-run, due to the resulting incentives to further accumulate capital.
We study how the dynamic response of government revenue to a tax cut changes if we
allow a Ramsey economy to engage in international trade: the open economy's ability to
reallocate resources between labor-intensive and capital-intensive industries reduces the
negative effect of factor accumulation on factor returns, thus encouraging the economy to
accumulate more than it would do under autarky. We explore the quantitative implica-
tions of this intuition for the US in terms of two issues recently treated in the literature:
dynamic scoring and the Laffer curve. Our results demonstrate that international trade
enhances the response of government revenue to tax cuts by a relevant amount. In our
benchmark calibration, a reduction in the capital-income tax rate has virtually no effect
on government revenue in steady state.

Alejandro Cuat, Szabolcs Dek and Marco Maffezzoli
Keywords: international trade, Heckscher-Ohlin, dynamic macroeconomics, taxation, revenue estimation, Laffer Curve