Convenient estimators for the panel probit model: Further results

Bertschek and Lechner (1998) propose several variants of a GMM estimator based on the period specific regression functions for the panel probit model. The analysis is motivated by the complexity of maximum likelihood estimation and the possibly excessive amount of time involved in maximum simulated likelihood estimation. But, for applications of the size considered in their study, full likelihood estimation is actually straightforward, and resort to GMM estimation for convenience is unnecessary. In this note, we reconsider maximum likelihood based estimation of their panel probit model then examine some extensions which can exploit the heterogeneity contained in their panel data set. Empirical results are obtained using the data set employed in the earlier study. Helpful comments and suggestions by Irene Bertschek and Michael Lechner are gratefully acknowledged. This paper has also benefited from comments by two anonymous referees and from seminar participants at the Center for Health Economics at the University of York. Any remaining errors are the responsibility of the author.     

Regional and gender differentials in the persistence of unemployment in Europe

The persistence of unemployment increased during the recent great recession in many European countries, although with diversified impacts. We therefore analyse such impacts in four European countries – Italy, Spain, France and the UK – which represent different institutional frameworks and may reflect the so-called continental European and Anglo-Saxon frameworks. We analyse the determinants of unemployment persistence using individual-level data from the European Union Statistics on Income and Living Conditions (EU-SILC) panel for the period 2007–2013. These data enable us to take into account initial conditions and state dependence in addition to individual and household characteristics. We focus on gender and regional effects, which have a strong impact on the persistence in the state of unemployment. We find that gender gap is significant in Italy and the UK, implying that male workers show a higher probability of remaining unemployed. In Italy, such a pattern is due to the worsening of male workers’ conditions during the crisis, whereas in the UK, male workers show higher unemployment rates than women. Regional effects are significant in all countries analysed and underline a relevant structural factor that should be addressed on policy grounds in Europe. Such effects are greater in Spain and Italy.     

Full versus quasi MLE for ARMA-GARCH models with infinitely divisible innovations

We compare the backtesting performance of ARMA-GARCH models with the most common types of infinitely divisible innovations, fit with both full maximum likelihood estimation (MLE) and quasi maximum likelihood estimation (QMLE). The innovation types considered are the Gaussian, Student’s t, α-stable, classical tempered stable (CTS), normal tempered stable (NTS) and generalized hyperbolic (GH) distributions. In calm periods of decreasing volatility, MLE and QMLE produce near identical performance in forecasting value-at-risk (VaR) and conditional value-at-risk (CVaR). In more volatile periods, QMLE can actually produce superior performance for CTS, NTS and α-stable innovations. While the t-ARMA-GARCH model has the fewest number of VaR violations, rejections by the Kupeic and Berkowitz tests suggest excessively large forecasted losses. The α-stable, CTS and NTS innovations compare favourably, with the latter two also allowing for option pricing under a single market model.     

Unemployment dynamics in an OLG economy with public pensions

Pension benefits in old age establish a disincentive to save in youth, thereby yielding lower levels of capital stock and the wage rate. As a result, the trade union has an incentive to change the composition of its two targets: employment and the wage rate. This paper develops a model that includes employment effects of public pensions via capital accumulation and union wage setting. Within this framework, we consider how contribution rates to the pension system influence the level and time path of the unemployment rate. It is demonstrated that (1) a higher contribution rate results in a lower unemployment rate, and (2) the economy with a high (low) contribution rate experiences monotone convergence towards (oscillatory convergence towards or a period-2 cycle around) the steady state. The author would like to thank an anonymous referee, Kazutoshi Miyazawa, and seminar participants at Osaka University for their useful comments and suggestions, and Masako Ikefuji and Hiroaki Yamagami for their research assistance. Financial support from the Japan Society for the Promotion of Science (JSPS) through a Grant-in-Aid for Young Scientists (B) (No.17730131), the Asahi Glass Foundation, the Japan Economic Research Foundation and the 21st Century COE Program (Osaka University) is gratefully acknowledged. All remaining errors are mine.     

Closed-form likelihood function of Markov-switching models

For a class of Markov-switching models, the likelihood function and inferred state distributions for a given sample are shown to have closed-form representations under a set of sufficient conditions. Based on these results, it is demonstrated that the closed-form partial derivatives (when exist) of the likelihood function can be readily found. These results may be used to improve the efficiency of numerical optimization techniques used for estimating the Markov-switching models.     

Cyclical Asymmetries in Unemployment Rates: International Evidence

This paper investigates to what extent the observed nonlinearities in the unemployment rates of six major developed economies are the response to cyclical asymmetries. Two classes of models are compared: strict smooth transition autoregressions and models where the transition variable is GDP growth, which is considered a more direct indicator of the business cycle. The empirical evidence points out that nonlinearities in unemployment rates are induced by cyclical asymmetries. It is also found that in most countries the unemployment rate looks stationary and reverts to a long-run equilibrium rate in periods of normal growth, while in extreme cyclical situations it tends to become nonstationary as if each extreme cyclical episode had its own path of equilibrium.      

An Investigation of the Effects of Data Transformation on Nonlinearity

This paper investigates the effects of data transformation on nonlinearity by means of a simulation analysis based on empirical threshold models for the unemployment rate. Unemployment rate series are particularly suitable because they exhibit a number of interesting features: business cycle asymmetries, persistence, long memory and seasonality. The main finding is that evidence of nonlinearity is not independent of the form in which data are analysed and that most data transformations result in a loss of nonlinearity. This is particularly the case for seasonal adjustment transformations, which remove not only seasonality but also nonlinear features, as shown for the commonly applied Census X12 method.     

Unemployment benefits and recall jobs: a split population model

We study the transitions out of unemployment of the recipients of insurance benefits, focusing on whether or not they are recalled to their previous employment. Specifically, a split population duration model (SPDM) for the recall decision by employers is compared with a standard duration model (SDM). We find significant differences between the SPDM and the SDM estimates, both with regard to their magnitude and expected sign. Some of the variables record undervalued estimated hazard rates in the SDM with respect to the SPDM.     

Trade and unemployment: What do the data say?

This paper documents a robust empirical regularity: in the long-run, higher trade openness is associated with a lower structural rate of unemployment. We establish this fact using: (i) panel data from 20 OECD countries, (ii) cross-sectional data on a larger set of countries. The time structure of the panel data allows us to control for unobserved heterogeneity, whereas cross-sectional data make it possible to instrument openness by its geographical component. In both setups, we purge the data of business cycle effects, include a host of institutional and geographical variables, and control for within-country trade. Our main finding is robust to various definitions of unemployment rates and openness measures. Our benchmark specification suggests that a 10 percentage point increase in total trade openness reduces aggregate unemployment by about three quarters of one percentage point.