aikyam school

Macroeconomic Search Model Calibration Wedge

RCTReview

Macroeconomic search and matching models require calibrating the non-work time opportunity parameter $z$, but structural literature yields opposing requirements—needing negative values to match wage dispersion versus near-unity values to match unemployment volatility over business cycles.

Picture this

Think of calibrating a complex balance scale where one group of theoretical economists insists the counterweight must weigh negative five pounds and another group insists it must weigh ten pounds; directly placing the counterweight on an empirical scale provides the definitive real-world weight needed to balance the equations.

What the evidence says

Directly measured opportunity cost yields $z = 0.72$ under monopsonistic labor market assumptions and $z = 0.87$ under Diamond-Mortensen-Pissarides assumptions, providing empirical validation for intermediate-to-high volatility calibrations while rejecting negative $z$ wage dispersion models.

Who was studied
N = 1,152 unemployed job applicants nationwide, calibrated alongside Current Population Survey (CPS) and Survey of Income and Program Participation (SIPP) data.
How
Structural empirical calibration integrating experimental marginal value of time estimates with labor market wedges, tax rates (20%), commuting time, UI benefit loss (6%), and childcare expenses (2.3%).

What to do

Calibrate business cycle search and matching models using an empirical parameter benchmark of $z = 0.72$ to $0.87$ rather than extreme theoretical tail values.

From the source

"Our preferred estimate after accounting for these additional costs is $z=0.72$ which is in the intermediate to higher range of values used in the search literature."

Labor_Supply_and_the_Value_of_Non_Work_Time_Experimental_Estimates.pdf

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