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Asset Prices in a Time Series Model with Disparately Informed, Competative Traders

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  • Kenneth J. Singleton

Abstract

This paper examines the time series properties of the price of a risky asset implied by a model in which competitive traders are heterogeneously informed about the underlying sources of uncertainty in the economy.Traders do not observe the shocks in the period they occur. However, traders are imperfectly and heterogeneously informed about these shocks for three reasons:(1) the shocks are serially correlated arid hence partially forecast able from their past history, (2) each trader receives private signals about the current values of a subset of the shocks, and (3) the equilibrium price conveys information about the private signals and beliefs of other traders. Since prices convey information in this economy, traders will face an infinite regress problem in expectations associated with their desire to forecast the beliefs of others, the beliefs of others about average beliefs, etc.The equilibrium time series representation for the price of the risky security is deduced in various imperfect information environments. Then the volatility and autocorrelations of prices in this model are compared to the corresponding statistics for a model in which agents are homogeneously informed.

Suggested Citation

  • Kenneth J. Singleton, 1986. "Asset Prices in a Time Series Model with Disparately Informed, Competative Traders," NBER Working Papers 1897, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:1897
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    1. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    2. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    3. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    4. Eichenbaum, Martin & Hansen, Lars Peter, 1990. "Estimating Models with Intertemporal Substitution Using Aggregate Time Series Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 53-69, January.
    5. Williams, Joseph T., 1977. "Capital asset prices with heterogeneous beliefs," Journal of Financial Economics, Elsevier, vol. 5(2), pages 219-239, November.
    6. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-1385, September.
    7. Diamond, Douglas W. & Verrecchia, Robert E., 1981. "Information aggregation in a noisy rational expectations economy," Journal of Financial Economics, Elsevier, vol. 9(3), pages 221-235, September.
    8. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-657, May.
    9. Cornell, Bradford, 1983. "The Money Supply Announcements Puzzle: Review and Interpretation," American Economic Review, American Economic Association, vol. 73(4), pages 644-657, September.
    10. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
    11. Jarrow, Robert A, 1980. "Heterogeneous Expectations, Restrictions on Short Sales, and Equilibrium Asset Prices," Journal of Finance, American Finance Association, vol. 35(5), pages 1105-1113, December.
    12. Shiller, Robert J, 1979. "The Volatility of Long-Term Interest Rates and Expectations Models of the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1190-1219, December.
    13. Singleton, Kenneth J, 1980. "Expectations Models of the Term Structure and Implied Variance Bounds," Journal of Political Economy, University of Chicago Press, vol. 88(6), pages 1159-1176, December.
    14. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-588, August.
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    Cited by:

    1. Si Chen, 2022. "Information and dynamic trading with the Gambler’s fallacy," Mathematics and Financial Economics, Springer, volume 16, number 1, December.

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