Working Capital Requirement and the Unemployment Volatility Puzzle

Shimer (2005) argues that a search and matching model of the labor market in which wage is determined by Nash bargaining cannot generate the observed volatility in unemployment and vacancy in response to reasonable labor productivity shocks. This paper examines how incorporating monopolistically competitive firms with a working capital requirement (in which firms borrow funds to pay their wage bills) improves the ability of the search models to match the empirical fluctuations in unemployment and vacancy without resorting to an alternative wage setting mechanism. The monetary authority follows an interest rate rule in the model. A positive labor productivity shock lowers the real marginal cost of production and lowers inflation. In response to the fall in price level, the monetary authority reduces the nominal interest rate. A lower interest rate reduces the cost of financing and partially offsets the increase in labor cost from a higher productivity. A reduced labor cost implies the firms retain a greater portion of the gain from a productivity shock, which gives them a greater incentive to create vacancies. Simulations show that a working capital requirement does indeed improve the ability of the search models to generate fluctuations in key labor market variables to better match the U.S. data

The Reservation Wage under CARA and Limited Borrowing

A continuous-time sequential job search model with savings and CARA preferences is solved analytically without resorting to unlimited borrowing and real-valued consumption. I isolate the effects of limited borrowing and nonnegative consumption as well as risk-aversion on the reservation wage by using a system of ordinary differential equations

Sorting between and within Industries: A Testable Model of Assortative Matching

We test Shimer\u27s (2005) theory of the sorting of workers between and within industrial sectors based on directed search with coordination frictions, deliberately maintaining its static general equilibrium framework. We fit the model to sector-specific wage, vacancy and output data, including publicly-available statistics that characterize the distribution of worker and employer wage heterogeneity across sectors. Our empirical method is general and can be applied to a broad class of assignment models. The results indicate that industries are the loci of sorting-more productive workers are employed in more productive industries. The evidence confirms that strong assortative matching can be present even when worker and employer components of wage heterogeneity are weakly correlated

Sorting Between and Within Industries: A Testable Model of Assortative Matching

We test Shimer\u27s (2005) theory of the sorting of workers between and within industrial sectors based on directed search with coordination frictions, deliberately maintaining its static general equilibrium framework. We fit the model to sector-specific wage, vacancy and output data, including publicly-available statistics that characterize the distribution of worker and employer wage heterogeneity across sectors. Our empirical method is general and can be applied to a broad class of assignment models. The results indicate that industries are the loci of sorting--more productive workers are employed in more productive industries. The evidence confirms that strong assortative matching can be present even when worker and employer components of wage heterogeneity are weakly correlated

The unemployment volatility puzzle: the role of the underground economy

Relying on the non-negligible role played by the underground economy in the labour market fluctuations, this paper extends the standard matching model à la Mortensen-Pissarides by introducing an underground sector along with an endogenous sector choice for both entrepreneurs and workers. These modifications improve the quantitative properties of the standard matching model, thus providing a possible explanation for the unemployment volatility puzzle.unemployment and vacancies volatility; productivity and job destruction shocks; underground economy; shadow economy; hidden economy; matching models.

The Labor Market in the Great Recession

From the perspective of a wide range of labor market outcomes, the recession that began in 2007 represents the deepest downturn in the postwar era. Early on, the nature of labor market adjustment displayed a notable resemblance to that observed in past severe downturns. During the latter half of 2009, however, the path of adjustment exhibited important departures from that seen during and after prior deep recessions. Recent data point to two warning signs going forward. First, the record rise in long-term unemployment may yield a persistent residue of long-term unemployed workers with weak search effectiveness. Second, conventional estimates suggest that the extension of Emergency Unemployment Compensation may have led to a modest increase in unemployment. Despite these forces, we conclude that the problems facing the U.S. labor market are unlikely to be as severe as the European unemployment problem of the 1980s

The Shimer Puzzle and the Correct Identification of Productivity Shocks

Shimer (2005a) claims that the Mortensen-Pissarides search model of unemployment lacks an ampiflication mechanism because it cannot generate the observed business cycle fluctuations in unemployment given labor productivity shocks of plausible magnitude. This paper argues that part of the problem lies with the correct identification of productivity shocks. Because of the endogeneity of measured labor productivity, filtering out the trend component as in Shimer (2005a) may not correctly identify the shocks driving unemployment. Using a New- Keynesian framework with search unemployment, this paper estimates that close to 50% of the Shimer puzzle is due to the misidentification of productivity shocks. In addition, I show that extending the search model with an aggregate demand side remarkably improves the ability of the standard search model to match the moments of key labor market variables.unemployment fluctuations, labor productivity, search and matching model, New-Keynesian model

Island Matching

A synthesis of the Lucas-Prescott island model and the Mortensen- Pissarides matching model of unemployment is studied. By assumption, all unmatched workers and jobs are randomly assigned to islands at the beginning of each period and the number of matches that form on a particular island is the minimum of the two realizations. When calibrated to the recently observed averages of U.S. unemployment and vacancy rates, the model fits the observed vacancy-unemployment Beveridge relationship very well and implies an implicit log linear relationship between the job finding rate and the vacancy-unemployment relationship with an elasticity near 0.5. The constrained efficient solution to the model is decentralized by a equilibrium outcome in which wages on each island are determined by a modified auction. Although the efficient solution explains only about 25% of the observed volatility in the U.S. vacancy-unemployment ratio, an equilibrium outcome in which wages are determined as the solution to a strategic bargaining game explains almost all of it.

The Shimer puzzle and the identification of productivity shocks

Shimer (2005) argues that the Mortensen-Pissarides (MP) model of unemployment lacks an amplification mechanism because it generates less than 10 percent of the observed business cycle fluctuations in unemployment given labor productivity shocks of plausible magnitude. This paper argues that part of the problem lies with the identification of productivity shocks. Because of the endogeneity of measured labor productivity, filtering out the trend component as in Shimer (2005) may not correctly identify the shocks driving unemployment. Using a New-Keynesian framework to control for the endogeneity of productivity, this paper estimates that the MP model can account for a third, and possibly as much as 60 percent, of fluctuations in labor market variables.Labor market ; Unemployment ; Labor productivity

Endogenous Separation, Wage Rigidity and the Dynamics of Unemployment

This paper shows that the Mortensen-Pissarides (MP) model requires endogenous separation to explain the volatility of unemployment. I estimate a version of the MP model with wage rigidity and permanent shocks to match productivity. The model generates sufficient volatility in unemployment, vacancies, job-finding and job-separation despite relatively low worker outside options. I then re-estimate the model while restricting the separation rate to be constant and show that, even though the estimation procedure finds the best fitting model, the model predicts too little variance in unemployment and too much variance in the job-finding rate. Based on this result I conclude that models of unemployment fluctuations need endogenous separation rates to explain unemployment fluctuations.Unemployment, Search Models, Business Cycles