Modeling and estimating persistent discrete data can be challenging. In this paper, we use an autoregressive panel probit model where the autocorrelation in the discrete variable is driven by the autocorrelation in the latent variable. In such a non-linear model, the autocorrelation in an unobserved variable results in an intractable likelihood containing high-dimensional integrals. To tackle this problem, we use composite likelihoods that involve much lower order of integration. However, parameter identification becomes problematic since the information employed in lower dimensional distributions may not be rich enough for identification. Therefore, we characterize types of composite likelihoods that are valid for this model and study conditions under which the parameters can be identified. Moreover, we provide consistency and asymptotic normality results of the pairwise composite likelihood estimator and conduct Monte Carlo simulations to assess its finite-sample performances. Finally, we apply our method to analyze credit ratings. The results indicate a significant improvement in the estimated transition probabilities between rating classes compared with static models.
The dramatic fluctuations in global food prices over the past two decades have generated significant concern about their destabilizing macroeconomic effects. While the pass-through effects of international food prices on domestic prices have been widely documented, these estimates have not taken into account reverse causality, omitted variable bias, or differences in sources of international food price fluctuations. We use sign restrictions to identify relevant demand and supply shocks that explain the volatility in global food prices. We quantify their dynamic effects on several components of food exporters’ and food importers’ domestic output, including household consumption, government consumption, investment, and net exports. Our findings reveal that identifying the sources of the shocks driving global food prices is crucial to evaluating their domestic effects. Expansions in global economic activity that increase global food prices stimulate the domestic output of both food-importing and food-exporting economies; however, disruptions in global food commodity markets that lead to rising real food prices have large contractionary effects for food importers due to deteriorating trade balances and falling household consumption. We also document that the adverse effects of unfavorable global food shocks on household consumption are greater for food-importing countries with relatively high shares of household food expenditures and large food trade deficits.
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