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Okun’s Law as a Pi-to-1 ratio: A harmonic / trigonometric theory as to why Okun’s Law works

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  • Albers, Scott

Abstract

“Okun’s Law” states a 3:1 proportion between percent growth in U. S. real GNP and percent decrease in the rate of unemployment. This paper argues that this ratio is actually a Pi:1 proportion, heretofore unrecognized because it is displayed through a form of mathematic / harmonic inverse. In Part One the Cartesian coordinate system is merged with the legal doctrines of actus reus (x-axis, actions) and mens rea (y-axis, thoughts). A unit circle of personal choice – including economic choice (trading vs. keeping) – may thereby be devised. This unit circle is then aggregated into a torus, half the circumference of which represents U.S. real GNP (Pi), the antipodal half-circumference its monetary value (Pi) and the radius the rate of employment necessary to its production (R = 1). Mainstream econometric analysis appears to support this theory of inverses with proximities of within 1.3%, 1.0%, 0.35%, 0.00105% and less than half a degree. In Part Two this model of Okun’s Law is connected closely to an analysis of the well-known Kondratiev Wave, a 56-year “Long Wave” of evolving social and economic relationships. This approach to macroeconomics is thereby aligned with a geometric, harmonic and trigonometric analysis of empirical data, rather than purely statistical methods.

Suggested Citation

  • Albers, Scott, 2013. "Okun’s Law as a Pi-to-1 ratio: A harmonic / trigonometric theory as to why Okun’s Law works," MPRA Paper 46633, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:46633
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    References listed on IDEAS

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    1. Michael T. Owyang & Tatevik Sekhposyan, 2012. "Okun’s law over the business cycle: was the great recession all that different?," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 399-418.
    2. Albers, Scott & Albers, Andrew L., 2012. "On the mathematic prediction of economic and social crises: toward a harmonic interpretation of the Kondratiev wave," MPRA Paper 37771, University Library of Munich, Germany.
    3. Bernd-O. Heine & Matthias Meyer & Oliver Strangfeld, 2005. "Stylised Facts and the Contribution of Simulation to the Economic Analysis of Budgeting," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 8(4), pages 1-4.
    4. Edward N. Wolff, 2007. "Recent Trends in Household Wealth in the United States: Rising Debt and the Middle-Class Squeeze," Economics Working Paper Archive wp_502, Levy Economics Institute.
    5. Brent Meyer & Murat Tasci, 2012. "An unstable Okun’s Law, not the best rule of thumb," Economic Commentary, Federal Reserve Bank of Cleveland, issue June.
    6. Robert J. Gordon, 1984. "Unemployment and Potential Output in the 1980s," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 15(2), pages 537-568.
    7. Hughes Hallett, A. J. & Piscitelli, Laura, 2002. "Testing for hysteresis against nonlinear alternatives," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 303-327, December.
    8. Charles Adams & David T. Coe, 1990. "A Systems Approach to Estimating the Natural Rate of Unemployment and Potential Output for the United States," IMF Staff Papers, Palgrave Macmillan, vol. 37(2), pages 232-293, June.
    9. Jean-Sebastien Lenfant, 2012. "Indifference Curves and the Ordinalist Revolution," History of Political Economy, Duke University Press, vol. 44(1), pages 113-155, Spring.
    10. Albers, Scott & Albers, Andrew L., 2011. "The Golden Mean, the Arab Spring and a 10-step analysis of American economic history," MPRA Paper 33004, University Library of Munich, Germany.
    11. repec:bla:jecsur:v:16:y:2002:i:2:p:167-88 is not listed on IDEAS
    12. John B. Penson & Kerry Webb, 1981. "Gross national product at full employment," Economic Review, Federal Reserve Bank of Kansas City, vol. 66(Jun), pages 3-15.
    13. International Monetary Fund, 1989. "A Systems Approach to Estimating the Natural Rate of Unemployment and Potential Output for the United States," IMF Working Papers 1989/089, International Monetary Fund.
    14. Piscitelli, Laura & Cross, Rod & Grinfeld, Michael & Lamba, Harbir, 2000. "A Test for Strong Hysteresis," Computational Economics, Springer;Society for Computational Economics, vol. 15(1-2), pages 59-78, April.
    15. Rod Cross & Michael Grinfeld & Laura Piscitelli, 1999. "Hysteresis in Economic Systems," Computing in Economics and Finance 1999 723, Society for Computational Economics.
    16. Blinder, Alan S, 1997. "Is There a Core of Practical Macroeconomics That We Should All Believe?," American Economic Review, American Economic Association, vol. 87(2), pages 240-243, May.
    17. Edward N. Wolff, 2010. "Recent Trends in Household Wealth in the United States-- Rising Debt and the Middle-Class Squeeze--An Update to 2007," Economics Working Paper Archive wp_589, Levy Economics Institute.
    18. Dany Lang & Christian de Peretti, 2009. "A strong hysteretic model of Okun's Law: theory and a preliminary investigation," International Review of Applied Economics, Taylor & Francis Journals, vol. 23(4), pages 445-462.
    19. Cross, Rod, 1993. "On the Foundations of Hysteresis in Economic Systems," Economics and Philosophy, Cambridge University Press, vol. 9(1), pages 53-74, April.
    20. Christian Oberst & Jens Oelgemöller, 2013. "Economic Growth and Regional Labor Market Development in German Regions: Okun’s Law in a Spatial Context," FCN Working Papers 5/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
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    JEL classification:

    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
    • B00 - Schools of Economic Thought and Methodology - - General - - - History of Economic Thought, Methodology, and Heterodox Approaches
    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • B5 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches
    • B59 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Other
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • E19 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Other
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • P1 - Political Economy and Comparative Economic Systems - - Capitalist Economies
    • P16 - Political Economy and Comparative Economic Systems - - Capitalist Economies - - - Capitalist Institutions; Welfare State
    • Z0 - Other Special Topics - - General
    • Z00 - Other Special Topics - - General - - - General

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