On the mathematic prediction of economic and social crises: toward a harmonic interpretation of the Kondratiev wave

Scott Albers and Andrew L. Albers

MPRA Paper from University Library of Munich, Germany

Abstract: In Part One of this paper we use the harmonic analogy of a musical octave to analyze mathematic ratios of U.S. real GNP. These ratios are generated by bringing together figures for U.S. real GNP over intervals of time – “spreads of years” – as numerator and denominator in a single fraction. Using a range of 7-year to 18-year “spreads,” we find that this approach provides strong evidence that American economic history is composed of four 14-year quarter-cycles within a 56 year circuit in the real GNP of the United States, 1869-2007. These periods correlate closely with analysis by Nickolai Kondratiev and provide a framework for predicting an annual steady state rate of growth for the United States falling between 3.4969% and 3.4995% per year. In Part Two of this paper we provide three postscripts including: (1) correlations / speculations on the political and social consequences of this model, (2) simplification / expansion of the geometries implied and (3) analysis / prediction based upon this approach, as concluded by a brief afterword. These post-script refinements narrow the steady state rate of growth predicted to between 3.4969% and 3.4973% per year correlating closely with the 3.4971% rate for annualized quarterly data calculated for Okun’s Law, 1947-2007. The size and interconnectedness of world economies, and the virtually exact correlations provided herein, suggest that the dates predicted for future crises will see changes which are unexpectedly global, dramatic and fierce.

Keywords: Real GNP; Golden Mean; Phi; Long Wave; Kondratiev Wave; Global Financial Crisis; Constitutional Law; American Economic History; Revolution; Consolidation; GNP Spiral; Okun’s Law; “The Great Moderation; ” Constitutional Amendments; Steady-state Rate of Growth (search for similar items in EconPapers)
JEL-codes: A10 B15 B16 B41 B59 C02 C53 E27 E37 E60 K19 N10 O11 O40 Z0 (search for similar items in EconPapers)
Date: 2012-03-30
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Citations: View citations in EconPapers (3)

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