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Noncausality and asset pricing

  • Matthijs Lof EMAIL logo
Published/Copyright: April 11, 2013

Abstract

Misspecification of agents’ information sets or expectation formation mechanisms may lead to noncausal autoregressive representations of asset prices. Within the class of linear (vector) autoregressions, annual US stock prices are found to be best described by noncausal models, implying that agents’ expectations are not revealed to an outside observer such as an econometrician observing only realized market data. A simulation study shows that noncausal asset prices are observed when the data are generated by asset-pricing models featuring heterogeneous expectations.


Corresponding author: Matthijs Lof, University of Helsinki

I thank Bruce Mizrach (the editor), two anonymous referees, Katja Ahoniemi, Markku Lanne, Henri Nyberg, Pentti Saikkonen, and participants at the 19th Symposium of the Society for Nonlinear Dynamics and Econometrics in March 2011 and at a CeNDEF seminar at the University of Amsterdam in May 2011 for useful comments. The OP-Pohjola Group Research Foundation and the Academy of Finland are gratefully acknowledged for financial support.

  1. 1

    This paper only deals with stationary time-series, excluding the ‘borderline’ possibility of a unit root process that is not invertible but fundamental (Alessi, Barigozzi, and Capasso 2011).

  2. 2

    Forni et al. (2009) propose an alternative approach by applying large-dimensional factor models, which increase the econometrician’s information set and thereby avoid nonfundamentalness.

  3. 3

    The simulations are also carried out for different values of a and c between -1 and 1 and for different sample sizes (500 and 1000). As long as a and c are not too close to zero (i.e. the simulated data are not white noise), the results are similar to those in Table 2 and are therefore not explicitly reported.

References

Alessi, L., M. Barigozzi, and M. Capasso. 2011. “Nonfundamentalness in Structural Econometric Models: A Review.” International Statistical Review 79: 16–47.10.1111/j.1751-5823.2011.00131.xSearch in Google Scholar

Breidt, F. J., R. A. Davis, K. -S. Lh, and M. Rosenblatt. 1991. “Maximum Likelihood Estimation for Noncausal Autoregressive Processes.” Journal of Multivariate Analysis 36: 175–198.10.1016/0047-259X(91)90056-8Search in Google Scholar

Brock, W. A., and C. H. Hommes. 1998. “Heterogeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model.” Journal of Economic Dynamics and Control 22: 1235–1274.10.1016/S0165-1889(98)00011-6Search in Google Scholar

Brockwell, P. J., and R. A. Davis. 1991. Time Series: Theory and Methods. 2nd ed. New York, NY: Springer-Verlag, 1991 edition.Search in Google Scholar

Campbell, J. Y., and R. J. Shiller. 1987. “Cointegration and Tests of Present Value Models.” Journal of Political Economy 95: 1062–1088.10.1086/261502Search in Google Scholar

Campbell, J. Y., and R. J. Shiller. 1988. “The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors.” Review of Financial Studies 1: 195–228.10.1093/rfs/1.3.195Search in Google Scholar

Fernandez-Villaverde, J., J. F. Rubio-Ramirez, T. J. Sargent, and M. W. Watson. 2007. “Abcs (and ds) of Understanding Vars.” American Economic Review 97: 1021–1026.10.1257/aer.97.3.1021Search in Google Scholar

Forni, M., D. Giannone, M. Lippi, and L. Reichlin. 2009. “Opening the Black Box: Structural Factor Models with Large Cross Sections.” Econometric Theory 25: 1319–1347.10.1017/S026646660809052XSearch in Google Scholar

Hansen, L. P., and T. J. Sargent. 1991. “Two Difficulties in Interpreting Vector Autoregressions,” In Rational Expectations Econometrics, edited by L. P. Hansen and T. J. Sargent, 77–119. Westview Press, Inc., Boulder, CO.Search in Google Scholar

Kasa, K., T. B. Walker, and C. H. Whiteman. 2010. “Heterogeneous Beliefs and Tests of Present Value Models.” Unpublished manuscript.Search in Google Scholar

Lanne, M., and P. Saikkonen. 2011a. “Gmm Estimation with Noncausal Instruments.” Oxford Bulletin of Economics and Statistics 73: 581–592.10.1111/j.1468-0084.2010.00631.xSearch in Google Scholar

Lanne, M., and P. Saikkonen. 2011b. “Noncausal Autoregressions for Economic Time Series.” Journal of Time Series Econometrics 3: Article 2.10.2202/1941-1928.1080Search in Google Scholar

Lanne, M., and P. Saikkonen. 2012. “Noncausal Vector Autoregression.” Econometric Theory (forthcoming).10.1017/S0266466612000448Search in Google Scholar

Lanne, M., A. Luoma, and J. Luoto. 2012a. “Bayesian Model Selection and Forecasting in Noncausal Autoregressive Models.” Journal of Applied Econometrics 27: 812–830.10.1002/jae.1217Search in Google Scholar

Lanne, M., J. Luoto, and P. Saikkonen. 2012b. “Optimal Forecasting of Noncausal Autoregressive Time Series.” International Journal of Forecasting 28: 623–631.10.1016/j.ijforecast.2011.08.003Search in Google Scholar

Meitz, M., and P. Saikkonen. 2013. “Maximum Likelihood Estimation of a Noninvertible Arma Model with Autoregressive Conditional Heteroskedasticity.” Journal of Multivariate Analysis 114: 227–255.10.1016/j.jmva.2012.07.015Search in Google Scholar

Parke, W. R., and G. A. Waters. 2007. “An Evolutionary Game Theory Explanation of Arch Effects.” Journal of Economic Dynamics and Control 31: 2234–2262.10.1016/j.jedc.2006.05.013Search in Google Scholar

Shiller, R. J. 2005. Irrational Exuberance. Princeton University Press.Search in Google Scholar

Townsend, R. M. 1983. “Forecasting the Forecasts of Others.” Journal of Political Economy 91: 546–588.10.1086/261166Search in Google Scholar

Published Online: 2013-04-11

©2013 by Walter de Gruyter Berlin Boston

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