u* = √uv: The Full-Employment Rate of Unemployment in the United States

This paper finds that in the United States the full-employment rate of unemployment (FERU) is the geometric average of the unemployment and vacancy rates. Between 1930 and 2024, the FERU averages 4.1% and is very stable.

September 2024 · Pascal Michaillat, Emmanuel Saez

An Economical Business-Cycle Model

This paper develops a policy-oriented business-cycle model with fluctuating unemployment and long zero-lower-bound episodes. The innovations are that producers and consumers meet through a matching function, and wealth enters the utility function.

April 2022 · Pascal Michaillat, Emmanuel Saez

Beveridgean Unemployment Gap

This paper develops a sufficient-statistic formula for the unemployment gap. The formula depends on the elasticity of the Beveridge curve, cost of unemployment, and recruiting cost. In the United States the unemployment gap is countercyclical and often positive.

December 2021 · Pascal Michaillat, Emmanuel Saez

A Macroeconomic Approach to Optimal Unemployment Insurance: Applications

This paper explores how the optimal generosity of unemployment insurance varies over the business cycle in the United States. It finds that the optimal replacement rate is countercyclical, just like the actual replacement rate.

May 2018 · Camille Landais, Pascal Michaillat, Emmanuel Saez

A Macroeconomic Approach to Optimal Unemployment Insurance: Theory

This paper develops a theory of optimal unemployment insurance in matching models. It derives a sufficient-statistic formula for optimal unemployment insurance, which is useful to determine the optimal cyclicality of unemployment insurance.

May 2018 · Camille Landais, Pascal Michaillat, Emmanuel Saez

Aggregate Demand, Idle Time, and Unemployment

This paper develops a model of unemployment fluctuations. The innovation is to represent the labor and product markets with a matching structure. The model simultaneously features Keynesian unemployment, classical unemployment, and frictional unemployment.

May 2015 · Pascal Michaillat, Emmanuel Saez