Abstract
The single auction equilibrium of Kyle’s (1985) is studied, in which noise traders may be partially informed, or alternatively they can be manipulated. Unlike Kyle’s assumption that the quantity traded by the noise traders is independent of the asset value, we assume that the noise traders are able to correlate their trade with the true price. This has several implications for the equilibrium, one being that the informed trader’s expected profits decrease as the noise traders’ ability to correlate positively improve. In the limit, the noise traders do not lose on average, and the informed trader makes zero expected profits. When the correlation is negative, we interpret this as manipulation. In this case the insider makes the highest expected profits, and the informativeness of prices is at its minimum.
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References
Aase K., Bjuland T., Øksendal B.: An anticipative linear filtering equation. Syst. Control Lett. 60, 468–471 (2011)
Aase, K., Bjuland, T., Øksendal, B.: Strategic insider trading equilibrium: a filter theory approach. Afrika Matematika. doi:10.1007/s13370-011-0026-x (2011)
Admati R.A., Pfleiderer P.: A theory of intraday patterns: volume and price variability. Rev. Financ. Stud. 1(1), 3–40 (1988)
Back K.: Insider trading in continuous time. Rev. Financ. Stud. 5(3), 387–409 (1992)
Barberis, N.,Thaler, R.: A survey of behavioral finance. In: Handbook of the Economics of Finance. Financial Markets and Asset Pricing, chap. 18, vol. 1B. Elsevier, North-Holland (2003)
DeLong J.B., Shleifer A., Summers L., Waldman R.: Noise traders risk in financial markets. J. Political Econ. 98, 703–738 (1990)
De Marzo P., Duffie D.: A liquidity-based model of security. Econometrica 67, 65–99 (1999)
Diamond D., Verrecchia R.: Information aggregation in a noisy rational expectations economy. J. Financ. Econ. 9, 221–235 (1981)
Dow J., Gorton G.: Arbitrage chains. J. Finance 49, 819–850 (1994)
Dow, J., Gorton, G.: Noise Traders. NBER Working Paper 12256, Cambridge, MA (2006)
Glosten R.L., Milgrom R.P.: Bid, ask and transaction prices in a specialist market with heterogeneously informed traders. J. Financ. Econ. 14, 71–100 (1985)
Grossman J.S., Stiglitz E.J.: On the impossibility of informationally efficient markets. Am. Econ. Rev. 70, 393–408 (1980)
Kyle A.S.: Continuous auctions and insider trading. Econometrica 53(6), 1315–1336 (1985)
Shiller R.J.: Stock Prices and Social Dynamics. Brookings Pap. Econ. Act. 2(Fall), 457–498 (1984)
Shleifer A., Summers L.: The noise trader approach to finance. J. Econ. Perspect. 4, 19–33 (1990)
Shleifer A., Vishny R.: The limits of arbitrage. J. Finance 52, 35–55 (1997)
Spiegel M., Subrahmanyam A.: Informed speculation and hedging in a non-competitive securities market. Rev. Financ. Stud. 5, 307–329 (1992)
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Aase, K.K., Bjuland, T. & Øksendal, B. Partially informed noise traders. Math Finan Econ 6, 93–104 (2012). https://doi.org/10.1007/s11579-012-0075-4
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DOI: https://doi.org/10.1007/s11579-012-0075-4
Keywords
- Insider trading
- Asymmetric information
- Strategic trade
- Correlated trade
- Partially informed noise traders