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The Market for Crash Risk

  • David S. Bates
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    This paper examines the equilibrium when negative stock market jumps (crashes) can occur, and investors have heterogeneous attitudes towards crash risk. The less crash-averse insure the more crash-averse through the options markets that dynamically complete the economy. The resulting equilibrium is compared with various option pricing anomalies reported in the literature: the tendency of stock index options to overpredict volatility and jump risk, the Jackwerth (2000) implicit pricing kernel puzzle, and the stochastic evolution of option prices. The specification of crash aversion is compatible with the static option pricing puzzles, while heterogeneity partially explains the dynamic puzzles. Heterogeneity also magnifies substantially the stock market impact of adverse news about fundamentals.

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    File URL: http://www.nber.org/papers/w8557.pdf
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    Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 8557.

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    Date of creation: Oct 2001
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    Publication status: published as Bates, David S. "The Market for Crash Risk." Journal of Economic Dynamics and Control 32, 7 (July 2008): 2291-2321.
    Handle: RePEc:nbr:nberwo:8557
    Note: AP
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    1. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
    2. Rosenberg, Joshua V. & Engle, Robert F., 2002. "Empirical pricing kernels," Journal of Financial Economics, Elsevier, vol. 64(3), pages 341-372, June.
    3. John Y. Campbell & Luis M. Viceira, 1996. "Consumption and Portfolio Decisions When Expected Returns are Time Varying," NBER Working Papers 5857, National Bureau of Economic Research, Inc.
    4. Ho, Mun S & Perraudin, William R M & Sorensen, Bent E, 1996. "A Continuous-Time Arbitrage-Pricing Model with Stochastic Volatility and Jumps," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 31-43, January.
    5. Jiang, Wang, 1996. "The term structure of interest rates in a pure exchange economy with heterogeneous investors," Journal of Financial Economics, Elsevier, vol. 41(1), pages 75-110, May.
    6. Chacko, George & Viceira, Luis M, 2005. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," CEPR Discussion Papers 4913, C.E.P.R. Discussion Papers.
    7. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 157-88.
    8. Grossman, Sanford J & Zhou, Zhongquan, 1996. " Equilibrium Analysis of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 51(4), pages 1379-1403, September.
    9. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-41.
    10. David S. Bates, . "Pricing Options Under Jump-Diffusion Processes," Rodney L. White Center for Financial Research Working Papers 37-88, Wharton School Rodney L. White Center for Financial Research.
    11. Yeung Lewis Chan & Leonid Kogan, 2001. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," NBER Working Papers 8607, National Bureau of Economic Research, Inc.
    12. Bates, David S, 1991. " The Crash of '87: Was It Expected? The Evidence from Options Markets," Journal of Finance, American Finance Association, vol. 46(3), pages 1009-44, July.
    13. Jens Carsten Jackwerth., 1996. "Recovering Risk Aversion from Option Prices and Realized Returns," Research Program in Finance Working Papers RPF-265, University of California at Berkeley.
    14. 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.
    15. Jorion, Philippe, 1995. " Predicting Volatility in the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 50(2), pages 507-28, June.
    16. Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
    17. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
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