Turbulence and unemployment in matching models

Baley, Isaac; Ljungqvist, Lars; Sargent, Thomas J.

Turbulence and unemployment in matching models

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Baley, I, Ljungqvist, L, Sargent, T. Turbulence and unemployment in matching models. 2018. handle: http://hdl.handle.net/10230/33901

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Abstract

Ljungqvist and Sargent (1998, 2008) show that worse skill transition probabilities for workers who suffer involuntary layoffs (i.e., increases in turbulence) generate higher unemployment in a welfare state. den Haan, Haefke and Ramey (2005) challenge this finding by showing that if higher turbulence means that voluntary quits are also exposed to even a tiny risk of skill loss, then higher turbulence leads to lower unemployment within their matching model. We show (1) that there is no such brittleness of the positive turbulence-unemployment relationship in the matching model of Ljungqvist and Sargent (2007) even if we add such quit turbulence , and (2) that if den Haan et al. had calibrated their productivity distribution to fit observed unemployment patterns that they miss, then they too would have found a positive turbulence-unemployment relationship in their model. Thus, we trace den Haan et al. s finding to their assuming a narrower productivity distribution than Ljungqvist and Sargent had. Because den Haan et al. assume a distribution with such narrow support that it implies small returns to reallocating labor, even a small mobility cost shuts down voluntary separations. But that means that the imposition of a small layoff cost in tranquil times has counterfactually large unemployment suppression effects. When the parameterization is adjusted to fit historical observations on unemployment and layoff costs, a positive relationship between turbulence and unemployment reemerges.