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Stock-Market Crashes and Depressions

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Author Info
Robert J. Barro
José F. Ursúa

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Abstract

Long-term data for 30 countries up to 2006 reveal 232 stock-market crashes (multi-year real returns of –25% or less) and 100 depressions (multi-year macroeconomic declines of 10% or more), with 71 of the cases matched by timing. The United States has two of the matched events—the Great Depression 1929–33 and the post-WWI years 1917–21, likely driven by the Great Influenza Epidemic. 41% of the matched cases are associated with war, and the two world wars are prominent. Conditional on a stock-market crash (return of –25% or less) in a non-war environment, the probability of a minor depression (macroeconomic decline of at least 10%) is 22% and of a major depression (at least 25%) is 3%. For contexts of currency or banking crises that occur during times of global distress, these probabilities rise to 46% and 8%, respectively. These depression odds applied to the stock-market crashes of 2008 in the United States and many other countries. In reverse and again in a non-war environment, the probability of a stock-market crash (return of –25% or worse) is 67%, conditional on a depression of 10% or more, and 83% for 25% or more. Thus, the largest depressions are particularly likely to be accompanied by stock-market crashes. We allow for flexible timing between stock-market crashes and depressions for the 71 matched cases to compute the covariance between stock returns and an asset-pricing factor, which depends on the proportionate decline of consumption during a depression. If we assume a coefficient of relative risk aversion around 3.5, this covariance is large enough to account in a familiar looking asset-pricing formula for the observed average (levered) equity premium of 7% per year. This finding complements previous analyses that were based on the probability and size distribution of macroeconomic disasters but did not consider explicitly the covariance between macroeconomic declines and stock returns.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 14760.

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Date of creation: Feb 2009
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Handle: RePEc:nbr:nberwo:14760

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Find related papers by JEL classification:
E01 - Macroeconomics and Monetary Economics - - General - - - Measurement and Data on National Income and Product Accounts and Wealth
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
E23 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Production
E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
G01 - Financial Economics - - General - - - Financial Crises
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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References listed on IDEAS
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  1. Barro, Robert J, 1978. "Unanticipated Money, Output, and the Price Level in the United States," Journal of Political Economy, University of Chicago Press, vol. 86(4), pages 549-80, August. [Downloadable!] (restricted)
  2. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July. [Downloadable!] (restricted)
  3. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  4. Robert J. Barro & José F. Ursúa, 2008. "Macroeconomic Crises since 1870," NBER Working Papers 13940, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  6. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July. [Downloadable!] (restricted)
  7. Xavier Gabaix, 2008. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," NBER Working Papers 13724, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Robert Barro, 2009. "EconomicDynamics Interviews Robert Barro on Rare Events," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 10(2), April. [Downloadable!]
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This page was last updated on 2009-11-21.


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