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Generalized Non-Parametric Deconvolution with an Application to Earnings Dynamics

Review of Economic Studies 2010 77(2), 491-533 open access
In this paper, we construct a non-parametric estimator of the distributions of latent factors in linear independent multi-factor models under the assumption that factor loadings are known. Our approach allows estimation of the distributions of up to L(L+ 1)/2 factors given L measurements. The estimator uses empirical characteristic functions, like many available deconvolution estimators. We show that it is consistent, and derive asymptotic convergence rates. Monte Carlo simulations show good finite-sample performance, less so if distributions are highly skewed or leptokurtic. We finally apply the generalized deconvolution procedure to decompose individual log earnings from the panel study of income dynamics (PSID) into permanent and transitory components.

Interdependent Durations

Review of Economic Studies 2010 77(3), 1138-1163 open access
This paper studies the identification of a simultaneous equation model involving duration measures. It proposes a game theoretic model in which durations are determined by strategic agents. In the absence of strategic motives, the model delivers a version of the generalized accelerated failure time model. In its most general form, the system resembles a classical simultaneous equation model in which endogenous variables interact with observable and unobservable exogenous components to characterize an economic environment. In this paper, the endogenous variables are the individually chosen equilibrium durations. Even though a unique solution to the game is not always attainable in this context, the structural elements of the economic system are shown to be semi-parametrically identified. We also present a brief discussion of estimation ideas and a set of simulation studies on the model.

Labour Market Rigidities, Trade and Unemployment

Review of Economic Studies 2010 77(3), 1100-1137 open access
We study a two-country two-sector model of international trade in which one sector produces homogeneous products while the other produces differentiated products. The differentiated-product industry has firm heterogeneity, monopolistic competition, search and matching in its labor market, and wage bargaining. Some of the workers searching for jobs end up being unemployed. Countries are similar except for frictions in their labor markets. We study the interaction of labor market rigidities and trade impediments in shaping welfare, trade flows, productivity, price levels and unemployment rates. We show that both countries gain from trade but that the flexible country -- which has lower labor market frictions -- gains proportionately more. A flexible labor market confers comparative advantage; the flexible country exports differentiated products on net. A country benefits by lowering frictions in its labor market, but this harms the country's trade partner. And the simultaneous proportional lowering of labor market frictions in both countries benefits both of them. The model generates rich patterns of unemployment. Specifically, trade integration -- which benefits both countries -- may raise their rates of unemployment. Moreover, differences in rates of unemployment do not necessarily reflect differences in labor market rigidities; the rate of unemployment can be higher or lower in the flexible country. Finally, we show that the flexible country has both higher total factor productivity and a lower price level, which operates against the standard Balassa-Samuelson effect.

Ramsey Tax Cycles

Review of Economic Studies 2010 77(3), 1042-1071 open access
This paper asks whether tax cycles or tax smoothing represents the optimal policy in models without any extrinsic uncertainty. To answer this question, I develop a general framework for studying tax cycles in a large class of models that feature various types of frictions. This framework adds various wedges, resembling tax wedges, to the labour market, to the product market, and to money acquisition into an otherwise frictionless economy, so that it nests a large class of models used for policy analysis. I derive a criterion for this general framework that indicates when cycles are welfare-improving in a frictionless economy, and why frictions make cycles more likely to be optimal. I then calibrate two models with frictions, a labour search model and a monetary model, and show that cycles are welfare-improving under standard preferences

The Gambler's and Hot-Hand Fallacies: Theory and Applications

Review of Economic Studies 2010 77(2), 730-778 open access
We develop a model of the gambler's fallacy—the mistaken belief that random sequences should exhibit systematic reversals. We show that an individual who holds this belief and observes a sequence of signals can exaggerate the magnitude of changes in an underlying state but underestimate their duration. When the state is constant, and so signals are i.i.d., the individual can predict that long streaks of similar signals will continue—a hot-hand fallacy. When signals are serially correlated, the individual typically under-reacts to short streaks, over-reacts to longer ones, and under-reacts to very long ones. Our model has implications for a number of puzzles in finance, e.g. the active-fund and fund-flow puzzles, and the presence of momentum and reversal in asset returns.

The Long and Short (of) Quality Ladders

Review of Economic Studies 2010 77(4), 1450-1476 open access
Prices are typically used as proxies for countries' export quality. I relax this strong assumption by exploiting both price and quantity information to estimate the quality of products exported to the United States. Higher quality is assigned to products with higher market shares conditional on price. The estimated qualities reveal substantial heterogeneity in product markets' scope for quality differentiation, or their “quality ladders”. I use this variation to explain the heterogeneous impact of low-wage competition on US manufacturing employment and output. Markets characterized by relatively short quality ladders are associated with larger employment and output declines resulting from low-wage competition.

Efficient Estimation of the Parameter Path in Unstable Time Series Models

Review of Economic Studies 2010 77(4), 1508-1539 open access
The paper investigates inference in non-linear and non-Gaussian models with moderately time-varying parameters. We show that for many decision problems, the sample information about the parameter path can be summarized by an artificial linear and Gaussian model, at least asymptotically. The approximation allows for computationally convenient path estimators and parameter stability tests. Also, in contrast to standard Bayesian techniques, the artificial model can be robustified so that in misspecified models, decisions about the path of the (pseudo-true) parameter remain as good as in a corresponding correctly specified model.

Estimating Intertemporal Allocation Parameters using Synthetic Residual Estimation

Review of Economic Studies 2010 77(4), 1231-1261 open access
We present a novel structural estimation procedure for models of intertemporal allocation. This is based on modelling expectations errors directly; we refer to it as synthetic residual estimation (SRE). The flexibility of SRE allows us to account for measurement error in consumption and for heterogeneity in intertemporal allocation parameters. An investigation of the small sample properties of the SRE estimator indicates that it dominates generalized method of moments (GMM) estimation of both exact and approximate Euler equations in the case when we have short panels and noisy consumption data. We apply SRE to two panels drawn from the Panel Study of Income Dynamics (PSID) and estimate the joint distribution of the discount factor and the elasticity of intertemporal substitution. We reject strongly homogeneity of the discount factor and the elasticity of intertemporal substitution. We find that, on average, the more educated are more patient and less willing to substitute intertemporally than the less educated. Within education strata, patience and willingness to substitute are positively correlated.

Imported Intermediate Inputs and Domestic Product Growth: Evidence from India

Quarterly Journal of Economics 2010 125(4), 1727-1767 open access
New goods play a central role in many trade and growth models. We use detailed trade and firm-level data from India to investigate the relationship between declines in trade costs, imports of intermediate inputs, and domestic firm product scope. We estimate substantial gains from trade through access to new imported inputs. Moreover, we find that lower input tariffs account on average for 31% of the new products introduced by domestic firms. This effect is driven to a large extent by increased firm access to new input varieties that were unavailable prior to the trade liberalization.

Barbed Wire: Property Rights and Agricultural Development*

Quarterly Journal of Economics 2010 125(2), 767-810 open access
This paper examines the impact on agricultural development of the introduction of barbed wire fencing to the American Plains in the late nineteenth century. Without a fence, farmers risked uncompensated damage by others' livestock. From 1880 to 1900, the introduction and near-universal adoption of barbed wire greatly reduced the cost of fences, relative to the predominant wooden fences, especially in counties with the least woodland. Over that period, counties with the least woodland experienced substantial relative increases in settlement, land improvement, land values, and the productivity and production share of crops most in need of protection. This increase in agricultural development appears partly to reflect farmers' increased ability to protect their land from encroachment. States' inability to protect this full bundle of property rights on the frontier, beyond providing formal land titles, might have otherwise restricted agricultural development. (c) 2010 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology..