The Interrupted Power Law and The Size of Shadow Banking
Using public data (Forbes Global 2000) we show that the asset sizes for the largest global firms follow a Pareto distribution in an intermediate range, that is ``interrupted'' by a sharp cut-off in its upper tail, where it is totally dominated by financial firms. This flattening of the distribution contrasts with a large body of empirical literature which finds a Pareto distribution for firm sizes both across countries and over time. Pareto distributions are generally traced back to a mechanism of proportional random growth, based on a regime of constant returns to scale. This makes our findings of an ``interrupted'' Pareto distribution all the more puzzling, because we provide evidence that financial firms in our sample should operate in such a regime. We claim that the missing mass from the upper tail of the asset size distribution is a consequence of shadow banking activity and that it provides an (upper) estimate of the size of the shadow banking system. This estimate -- which we propose as a shadow banking index -- compares well with estimates of the Financial Stability Board until 2009, but it shows a sharper rise in shadow banking activity after 2010. Finally, we propose a proportional random growth model that reproduces the observed distribution, thereby providing a quantitative estimate of the intensity of shadow banking activity.
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- Malevergne, Y. & Saichev, A. & Sornette, D., 2013.
"Zipf's law and maximum sustainable growth,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 37(6), pages 1195-1212.
- Y. Malevergne & A. Saichev & D. Sornette, 2010. "Zipf's law and maximum sustainable growth," Papers 1012.0199, arXiv.org.
- Jean-Philippe Bouchaud & Marc Mezard, 2000. "Wealth condensation in a simple model of economy," Science & Finance (CFM) working paper archive 500026, Science & Finance, Capital Fund Management.
- Daniel Covitz & Nellie Liang & Tobias Adrian, 2015. "Financial Stability Monitoring," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 357-395, December.
- Adrian, Tobias & Covitz, Daniel M. & Liang, J. Nellie, 2013. "Financial stability monitoring," Staff Reports 601, Federal Reserve Bank of New York, revised 01 Jun 2014.
- Tobias Adrian & Daniel M. Covitz & J. Nellie Liang, 2014. "Financial Stability Monitoring," FEDS Notes 2014-08-04, Board of Governors of the Federal Reserve System (U.S.).
- Tobias Adrian & Daniel M. Covitz & J. Nellie Liang, 2013. "Financial stability monitoring," Finance and Economics Discussion Series 2013-21, Board of Governors of the Federal Reserve System (U.S.).
- Fujiwara, Yoshi, 2004. "Zipf law in firms bankruptcy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 219-230.
- Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, 05.
- Xavier Gabaix, 2008. "Power Laws in Economics and Finance," NBER Working Papers 14299, National Bureau of Economic Research, Inc.
- Pozsar, Zoltan & Adrian, Tobias & Ashcraft, Adam B. & Boesky, Hayley, 2013. "Shadow banking," Economic Policy Review, Federal Reserve Bank of New York, issue Dec, pages 1-16.
- Tobias Adrian & Adam Ashcraft & Hayley Boesky & Zoltan Pozsar, 2012. "S hadow Banking," Revue d'économie financière, Association d'économie financière, vol. 0(1), pages 157-184.
- Zoltan Pozsar & Tobias Adrian & Adam B. Ashcraft & Hayley Boesky, 2010. "Shadow banking," Staff Reports 458, Federal Reserve Bank of New York.
- David C. Wheelock & Paul W. Wilson, 2012. "Do Large Banks Have Lower Costs? New Estimates of Returns to Scale for U.S. Banks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(1), pages 171-199, 02.
- Bouchaud, Jean-Philippe & Mézard, Marc, 2000. "Wealth condensation in a simple model of economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 536-545.
- Davide Fiaschi - Marzia Romanelli, 2009. "Nonlinear Dynamics in Welfare and the Evolution of World Inequality," Discussion Papers 2009/81, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
- Davide Fiaschi & Marzia Romanelli, 2009. "Nonlinear dynamics in welfare and the evolution of world inequality," Temi di discussione (Economic working papers) 724, Bank of Italy, Economic Research and International Relations Area.
- Andrew G. Haldane & Vasileios Madouros, 2012. "The dog and the frisbee," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 109-159. Full references (including those not matched with items on IDEAS)