Amplification and asymmetry in crashes and frenzies. (English) Zbl 1233.91251
Summary: We often observe disproportionate reactions to tangible information in large stock price movements. Moreover these movements feature an asymmetry: the number of crashes is more than that of frenzies in the S&P 500 index. This paper offers an explanation for these two characteristics of large movements in which hedging (portfolio insurance) causes amplified price reactions to news and liquidity shocks as well as an asymmetry biased towards crashes. Risk aversion of traders is shown to be essential for the asymmetry of price movements. Also, we show that differential information can enhance both amplification and asymmetry delivered by hedging.
References:
| [1] | Admati A.R. (1985) A noisy rational expectations equilibrium for multi-asset securities markets. Econometrica 53, 629–657 · Zbl 0563.90018 · doi:10.2307/1911659 |
| [2] | Black F., Scholes M. (1973) The pricing of options and corporate liabilities. J. Polit Econ 81, 637–654 · Zbl 1092.91524 · doi:10.1086/260062 |
| [3] | Boldrin M., Levine D.K. (2001) Growth cycles and market crashes. J Econ Theory 96, 13–39 · Zbl 0976.91032 · doi:10.1006/jeth.1999.2595 |
| [4] | Brady N. et al. (1988) Report of the presidential task force on market mechanisms. Washington, U.S. Government Printing Office |
| [5] | Chalkley M., Lee I.H. (1998) Learning and asymmetric business cycles. Rev Econ Dyn 1, 623–645 · doi:10.1006/redy.1998.0024 |
| [6] | Cutler D.M., Poterba J.M., Summers L.H. (1989) What moves stock prices?. J Portf Manage 15, 4–12 · doi:10.3905/jpm.1989.409212 |
| [7] | Demange G., Laroque G. (1995) Private information and design of securities. J Econ Theory 65, 233–257 · Zbl 0821.90007 · doi:10.1006/jeth.1995.1009 |
| [8] | Gennotte G., Leland H. (1990) Market liquidity, hedging, and crashes. Am Econ Rev 80, 999–1021 |
| [9] | Glosten L.R., Milgrom P.R. (1985) Bid, ask and transaction prices in a specialist market with heterogeneously informed traders. J Financ Econ 14, 71–100 · doi:10.1016/0304-405X(85)90044-3 |
| [10] | Grossman S.J. (1976) On the efficiency of competitive stock markets where agents have diverse information. J Financ 31, 573–585 · doi:10.1111/j.1540-6261.1976.tb01907.x |
| [11] | Hong H., Stein J.C. (2003) Differences of opinion, short-sales constraints and market crashes. Rev Financ Stud 16, 487–525 · doi:10.1093/rfs/hhg006 |
| [12] | Jacklin C.J., Kleidon A.W., Pfleiderer P. (1992) Underestimation of portfolio insurance and the crash of October 1987. Rev Financ Stud 5, 35–63 · doi:10.1093/rfs/5.1.35 |
| [13] | Lee I.H. (1998) Market crashes and informational avalanches. Rev Econ Stud 65, 741–760 · Zbl 0913.90051 · doi:10.1111/1467-937X.00066 |
| [14] | Rubinstein M., Leland H. (1981) Replicating options with positions in stock and cash. Financ Anal J 37, 63–72 · doi:10.2469/faj.v37.n4.63 |
| [15] | Shiller R.J. (1989) Market volatility. Cambridge, MIT |
| [16] | Van Nieuwerburgh S., Veldkamp L.L. (2006) Learning asymmetries in real business cycles. J Monet Econ 53, 753–772 · doi:10.1016/j.jmoneco.2005.02.003 |
| [17] | Veldkamp L.L. (2005) Slow boom, sudden crash. J Econ Theory 124, 230–257 · Zbl 1116.91041 · doi:10.1016/j.jet.2003.12.008 |
| [18] | Veronesi P. (1999) Stock market overreaction to bad news in good times: a rational expectations equilibrium model. Rev Financ Stud 12, 975–1007 · doi:10.1093/rfs/12.5.975 |
| [19] | Zeira J. (1999) Informational overshooting, booms and crashes. J Monet Econ 43, 237–258 · doi:10.1016/S0304-3932(98)00042-7 |
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