How Equilibrium Prices Reveal Information in Time Series Models with Disparately Informed, Competitive Traders
AbstractAccommodating asymmetric information in a dynamic asset pricing model is technically challenging due to the problems associated with higher-order expectations. That is, rational investors are forced into a situation where they must forecast the forecasts of other agents (i.e., form higher-order expectations). In a dynamic setting, this problem telescopes into the infinite future and the dimension of the relevant state space approaches infinity. By employing the frequency domain approach of Whiteman (1983) and Kasa (2000), this paper demonstrates how information structures previously believed to lead to disparate expectations in equilibrium (e.g., Singleton (1987)) converge to a symmetric equilibrium. The “revealing” aspect of the price process lies in the invertibility of the observed state space, which makes it possible for agents to infer the economically fundamental shocks, thus eliminating the need to forecast the forecasts of others.
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Bibliographic InfoPaper provided by EconWPA in its series Finance with number 0509021.
Length: 33 pages
Date of creation: 18 Sep 2005
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Asymmetric Information; Asset Pricing; Frequency Domain;
Other versions of this item:
- Todd B. Walker, 2006. "How Equilibrium Prices Reveal Information in Time Series Models with Disparately Informed, Competitive Traders," Caepr Working Papers 2006-011, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
- G - Financial Economics
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- Michael Woodford, 2001. "Imperfect Common Knowledge and the Effects of Monetary Policy," NBER Working Papers 8673, National Bureau of Economic Research, Inc.
- Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
- Kenneth Kasa, 2000.
"Forecasting the Forecasts of Others in the Frequency Domain,"
Review of Economic Dynamics,
Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 726-756, October.
- Kenneth Kasa, 1995. "Signal extraction and the propagation of business cycles," Working Papers in Applied Economic Theory 95-14, Federal Reserve Bank of San Francisco.
- Franklin Allen & Stephen Morris & Hyun Song Shin, 2003.
"Beauty Contests, Bubbles and Iterated Expectations in Asset Markets,"
Cowles Foundation Discussion Papers
1406, Cowles Foundation for Research in Economics, Yale University.
- Stephen Morris & Franklin Allen & Hyun Song Shin, 2004. "Beauty Contests, Bubbles and Iterated Expectations in Asset Markets," Yale School of Management Working Papers ysm346, Yale School of Management.
- Franklin Allen & Stephen Morris & Hyun Song Shin, 2003. "Beauty Contests, Bubbles and Iterated Expectations in Asset Markets," NajEcon Working Paper Reviews 391749000000000553, www.najecon.org.
- Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
- Hua He and Jiang Wang., 1993.
"Differential Information and Dynamic Behavior of Stock Trading Volume,"
Research Program in Finance Working Papers
RPF-228, University of California at Berkeley.
- He, Hua & Wang, Jiang, 1995. "Differential Information and Dynamic Behavior of Stock Trading Volume," Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 919-72.
- Wang, Jiang, 1959- & He, Hua., 1994. "Differential information and dynamic behavior of stock trading volume," Working papers 3731-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Hua He & Jiang Wang, 1995. "Differential Information and Dynamic Behavior of Stock Trading Volume," NBER Working Papers 5010, National Bureau of Economic Research, Inc.
- Joseph G. Pearlman & Thomas J. Sargent, 2005. "Knowing the Forecasts of Others," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 480-497, April.
- Lars Peter Hansen & Thomas J. Sargent, 1979.
"Formulating and estimating dynamic linear rational expectations models,"
127, Federal Reserve Bank of Minneapolis.
- Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
- Futia, Carl A, 1981. "Rational Expectations in Stationary Linear Models," Econometrica, Econometric Society, vol. 49(1), pages 171-92, January.
- Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
- Lippi, Marco & Reichlin, Lucrezia, 1994.
"VAR analysis, nonfundamental representations, blaschke matrices,"
Journal of Econometrics,
Elsevier, vol. 63(1), pages 307-325, July.
- Marco Lippi & Lucrezia Reichlin, 1994. "VAR analysis, non-fundamental representations, Blashke matrices," ULB Institutional Repository 2013/10151, ULB -- Universite Libre de Bruxelles.
- Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
- Foster, F Douglas & Viswanathan, S, 1996. " Strategic Trading When Agents Forecast the Forecasts of Others," Journal of Finance, American Finance Association, vol. 51(4), pages 1437-78, September.
- Philippe Bacchetta & Eric van Wincoop, 2004.
"Higher Order Expectations in Asset Pricing,"
04.03, Swiss National Bank, Study Center Gerzensee.
- Bacchetta, Philippe & van Wincoop, Eric, 2008. "Higher Order Expectations in Asset Pricing," CEPR Discussion Papers 6648, C.E.P.R. Discussion Papers.
- Philippe BACCHETTA & Eric VAN WINCOOP, 2004. "Higher Order Expectations in Asset Pricing," FAME Research Paper Series rp110, International Center for Financial Asset Management and Engineering.
- Pengfei Wang & Yi Wen, 2007. "Incomplete information and self-fulfilling prophecies," Working Papers 2007-033, Federal Reserve Bank of St. Louis.
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