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Why Does Bad News Increase Volatility and Decrease Leverage?

The literature on leverage until now shows how an increase in volatility reduces leverage. However, in order to explain pro-cyclical leverage it assumes that bad news increases volatility. This paper suggests a reason why bad news is more often than not associated with higher future volatility. We show that, in a model with endogenous leverage and heterogeneous beliefs, agents have the incentive to invest mostly in technologies that become volatile in bad times. Together with the old literature this explains pro-cyclical leverage. The result also gives rationale to the pattern of volatility smiles observed in the stock options since 1987. Finally, the paper presents for the first time a dynamic model in which an asset is endogenously traded simultaneously at different margin requirements in equilibrium.

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File URL: http://cowles.econ.yale.edu/P/cd/d17b/d1762.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1762.

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Length: 34 pages
Date of creation: Jul 2010
Date of revision:
Handle: RePEc:cwl:cwldpp:1762
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Web page: http://cowles.econ.yale.edu/

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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
  2. John Y. Campbell & Ludger Hentschel, 1991. "No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns," NBER Working Papers 3742, National Bureau of Economic Research, Inc.
  3. Adrian, Tobias & Shin, Hyun Song, 2010. "Liquidity and leverage," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 418-437, July.
  4. repec:cup:cbooks:9780521524117 is not listed on IDEAS
  5. Araújo, Aloísio & Kubler, Felix & Schommer, Susan, 2012. "Regulating collateral-requirements when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 147(2), pages 450-476.
  6. Holmstrom, Bengt & Tirole, Jean, 1997. "Financial Intermediation, Loanable Funds, and the Real Sector," The Quarterly Journal of Economics, MIT Press, vol. 112(3), pages 663-91, August.
  7. Bates, David S., 2000. "Post-'87 crash fears in the S&P 500 futures option market," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 181-238.
  8. Caballero, Ricardo J. & Krishnamurthy, Arvind, 2001. "International and domestic collateral constraints in a model of emerging market crises," Journal of Monetary Economics, Elsevier, vol. 48(3), pages 513-548, December.
  9. repec:cup:cbooks:9780521818735 is not listed on IDEAS
  10. Ana Fostel & John Geanakoplos, 2008. "Collateral restrictions and liquidity under-supply: a simple model," Economic Theory, Springer, vol. 35(3), pages 441-467, June.
  11. Nicholas Bloom, 2007. "The Impact of Uncertainty Shocks," NBER Working Papers 13385, National Bureau of Economic Research, Inc.
  12. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393 Elsevier.
  13. John Geanakoplos & Ana Fostel, 2008. "Leverage Cycles and the Anxious Economy," American Economic Review, American Economic Association, vol. 98(4), pages 1211-44, September.
  14. Denis Gromb & Dimitri Vayanos, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," LSE Research Online Documents on Economics 448, London School of Economics and Political Science, LSE Library.
  15. repec:cup:cbooks:9780521818728 is not listed on IDEAS
  16. Lasse Heje Pederson & Markus K Brunnermeier, 2007. "Market Liquidity and Funding Liquidity," FMG Discussion Papers dp580, Financial Markets Group.
  17. repec:cup:cbooks:9780521524131 is not listed on IDEAS
  18. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-48, April.
  19. repec:cup:cbooks:9780521524124 is not listed on IDEAS
  20. Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
  21. John Geanakoplos, 2009. "The Leverage Cycle," Cowles Foundation Discussion Papers 1715R, Cowles Foundation for Research in Economics, Yale University, revised Jan 2010.
  22. John Geanakoplos, 2010. "Solving the Present Crisis and Managing the Leverage Cycle," Cowles Foundation Discussion Papers 1751, Cowles Foundation for Research in Economics, Yale University.
  23. John Geanakoplos, 2010. "Solving the present crisis and managing the leverage cycle," Economic Policy Review, Federal Reserve Bank of New York, issue Aug, pages 101-131.
  24. John Geanakoplos, 2010. "The Leverage Cycle," NBER Chapters, in: NBER Macroeconomics Annual 2009, Volume 24, pages 1-65 National Bureau of Economic Research, Inc.
  25. repec:cup:cbooks:9780521818742 is not listed on IDEAS
  26. Ana Fostel & John Geanakoplos, 2011. "Endogenous Leverage: VaR and Beyond," Cowles Foundation Discussion Papers 1800, Cowles Foundation for Research in Economics, Yale University.
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