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Why Does Bad News Increase Volatility and Decrease Leverage?

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Abstract

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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Bibliographic Info

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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Keywords: Endogenous leverage; Post-bad news volatility; Post-good news volatility; Volatility smile;

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References

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  1. 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.
  2. Ana Fostel & John Geanakoplos, 2011. "Endogenous Leverage: VaR and Beyond," Cowles Foundation Discussion Papers 1800, Cowles Foundation for Research in Economics, Yale University.
  3. John Moore & Nobuhiro Kiyotaki, . "Credit Cycles," Discussion Papers 1995-5, Edinburgh School of Economics, University of Edinburgh.
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  7. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124, October.
  8. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117, October.
  9. Tobias Adrian & Hyun Song Shin, 2008. "Liquidity and leverage," Staff Reports 328, Federal Reserve Bank of New York.
  10. Gromb, Denis & Vayanos, Dimitri, 2001. "Equilibrium and Welfare in Markets with Financially Constrained Arbitrageurs," CEPR Discussion Papers 3049, C.E.P.R. Discussion Papers.
  11. John Geanakoplos & Ana Fostel, 2008. "Leverage Cycles and the Anxious Economy," American Economic Review, American Economic Association, vol. 98(4), pages 1211-44, September.
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  13. Hentschel, Ludger & Campbell, John, 1992. "No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns," Scholarly Articles 3220232, Harvard University Department of Economics.
  14. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131, October.
  15. Brunnermeier, Markus K & Pedersen, Lasse Heje, 2007. "Market Liquidity and Funding Liquidity," CEPR Discussion Papers 6179, C.E.P.R. Discussion Papers.
  16. John Geanakoplos, 2009. "The Leverage Cycle," Cowles Foundation Discussion Papers 1715R, Cowles Foundation for Research in Economics, Yale University, revised Jan 2010.
  17. 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.
  18. John Geanakoplos, 2010. "The Leverage Cycle," NBER Chapters, in: NBER Macroeconomics Annual 2009, Volume 24, pages 1-65 National Bureau of Economic Research, Inc.
  19. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742, October.
  20. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728, October.
  21. Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
  22. Ben Bernanke & Mark Gertler & Simon Gilchrist, 1998. "The Financial Accelerator in a Quantitative Business Cycle Framework," NBER Working Papers 6455, National Bureau of Economic Research, Inc.
  23. 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.
  24. 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.
  25. Ana Fostel & John Geanakoplos, 2004. "Collateral Restrictions and Liquidity Under-Supply: A Simple Model," Cowles Foundation Discussion Papers 1468R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2006.
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Citations

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Cited by:
  1. Ana Fostel & John Geanakoplos, 2012. "Tranching, CDS, and Asset Prices: How Financial Innovation Can Cause Bubbles and Crashes," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 190-225, January.
  2. Balasko, Yves & Geanakoplos, John, 2012. "Introduction to general equilibrium," Journal of Economic Theory, Elsevier, vol. 147(2), pages 400-406.
  3. Ana Fostel & John Geanakoplos, 2013. "Leverage and Default in Binomial Economies: A Complete Characterization," Levine's Working Paper Archive 786969000000000755, David K. Levine.
  4. Marco Cipriani & Ana Fostel & Daniel Houser, 2012. "Leverage and asset prices: an experiment," Staff Reports 548, Federal Reserve Bank of New York.
  5. Ignazio Angeloni, 2010. "Monetary Policy and Risk Taking," Working Papers 380, Bruegel.
  6. Ana Fostel & John Geanakoplos, 2013. "Financial Innovation, Collateral and Investment," Levine's Working Paper Archive 786969000000000750, David K. Levine.
  7. Ana Fostel & John Geanakoplos, 2013. "Reviewing the Leverage Cycle," Cowles Foundation Discussion Papers 1918, Cowles Foundation for Research in Economics, Yale University.
  8. Ana Fostel & John Geanakoplos, 2013. "Financial Innovation, Collateral and Investment," Cowles Foundation Discussion Papers 1903, Cowles Foundation for Research in Economics, Yale University.
  9. Ambrogio Cesa-Bianchi & M. Hashem Pesaran & Alessandro Rebucci, 2014. "Uncertainty and Economic Activity: A Global Perspective," CESifo Working Paper Series 4736, CESifo Group Munich.
  10. Ana Fostel & John Geanakoplos, 2012. "Leverage and Default in Binomial Economies: A Complete Characterization," Cowles Foundation Discussion Papers 1877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2013.
  11. Chiara Scotti, 2013. "Surprise and uncertainty indexes: real-time aggregation of real-activity macro surprises," International Finance Discussion Papers 1093, Board of Governors of the Federal Reserve System (U.S.).
  12. KURASHIMA Daichi & MIZUNAGA Masashi & ODAKI Kazuhiko & WATANABE Wako, 2013. "Is Leverage a Determinant of Asset Price? Evidence from real estate transaction data," Discussion papers 13082, Research Institute of Economy, Trade and Industry (RIETI).

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