u$), and inefficiently slack when there are more jobseekers than vacancies ($u > v$). Accordingly, the full-employment rate of unemployment (FERU) is the geometric average of the unemployment and vacancy rates: $u^* = \sqrt{uv}$. Between 1930 and 2023, the FERU averages $4.1\%$ and is quite stable -- it always remains between $2.5\%$ and $6.6\%$."> u$), and inefficiently slack when there are more jobseekers than vacancies ($u > v$). Accordingly, the full-employment rate of unemployment (FERU) is the geometric average of the unemployment and vacancy rates: $u^* = \sqrt{uv}$. Between 1930 and 2023, the FERU averages $4.1\%$ and is quite stable -- it always remains between $2.5\%$ and $6.6\%$.">
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u^* = \sqrt{uv}

Author

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  • Pascal Michaillat
  • Emmanuel Saez
Abstract
This paper aims to compute the unemployment rate $u^*$ that is consistent with full employment in the United States. First, it argues that the most appropriate economic translation of the legal notion of full employment is social efficiency. Here efficiency requires to minimize the nonproductive use of labor -- both unemployment and recruiting. The nonproductive use of labor is measured by the number of jobseekers and vacancies, $u + v$. Through the Beveridge curve, the numbers of vacancies and jobseekers are inversely related, $uv = \text{constant}$. With such symmetry the labor market is efficient when there are as many jobseekers as vacancies ($u = v$), inefficiently tight when there are more vacancies than jobseekers ($v > u$), and inefficiently slack when there are more jobseekers than vacancies ($u > v$). Accordingly, the full-employment rate of unemployment (FERU) is the geometric average of the unemployment and vacancy rates: $u^* = \sqrt{uv}$. Between 1930 and 2023, the FERU averages $4.1\%$ and is quite stable -- it always remains between $2.5\%$ and $6.6\%$.

Suggested Citation

  • Pascal Michaillat & Emmanuel Saez, 2022. "u^* = \sqrt{uv}," Papers 2206.13012, arXiv.org, revised Jun 2024.
    • Handle: RePEc:arx:papers:2206.13012
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    References listed on IDEAS

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    1. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, April.
    2. Federico Ravenna & Carl E. Walsh, 2011. "Welfare-Based Optimal Monetary Policy with Unemployment and Sticky Prices: A Linear-Quadratic Framework," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(2), pages 130-162, April.
    3. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    4. Olivier Coibion, 2012. "Are the Effects of Monetary Policy Shocks Big or Small?," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(2), pages 1-32, April.
    5. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1999. "Monetary policy shocks: What have we learned and to what end?," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 2, pages 65-148, Elsevier.
    6. Barnichon, Regis, 2010. "Building a composite Help-Wanted Index," Economics Letters, Elsevier, vol. 109(3), pages 175-178, December.
    7. Pascal Michaillat, 2012. "Do Matching Frictions Explain Unemployment? Not in Bad Times," American Economic Review, American Economic Association, vol. 102(4), pages 1721-1750, June.
    8. Mark Borgschulte & Paco Martorell, 2018. "Paying to Avoid Recession: Using Reenlistment to Estimate the Cost of Unemployment," American Economic Journal: Applied Economics, American Economic Association, vol. 10(3), pages 101-127, July.
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