A dynamic model of the financial–real interaction as a model selection criterion for nonparametric stock market prediction
AbstractInspired by findings of low–dimensional nonlinearities and the Theorem of Takens (1983) forecasting models of financial time series are often built upon nonparametric, i.e. universal nonlinear, univariate relationships. Empirical investigations, however, are seriously contaminated by the problem of overfitting. Since statistical model selection theory in the nonlinear case is still in its infancy we would like to suggest the application of economic model selection criteria. It is a method of combining the flexibility of nonparametric regressions and important structural information in dynamic economic models. Therefore, conditions of economic models are imposed on the embedded nonlinear dynamical system to be estimated nonparametrically. In our empirical investigations we apply an univariate nonparametric forecasting model of stock returns, implemented via the Local Linear Maps of Ritter (1991), by an economic model selection criterion based on a discretized form of a continuous–time dynamic model on the interaction of real activity and asset markets. The dynamic economic model is estimated based on the Maximum Entropy inference since unobservable variables are involved. Results for monthly U.S. data show that nonparametric model selection is improved by this economic model selection criterion. On the other hand this result may be interpreted as support for the economic model.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Institute for Empirical Research in Economics - University of Zurich in its series IEW - Working Papers with number 226.
Date of creation:
Date of revision:
model selection; dynamic model; interaction; nonparametric; stock market; prediction;
Find related papers by JEL classification:
- C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
- G1 - Financial Economics - - General Financial Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-02-01 (All new papers)
- NEP-FIN-2005-02-01 (Finance)
- NEP-RMG-2005-02-01 (Risk Management)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Danthine, Jean-Pierre & Donaldson, John B. & Mehra, Rajnish, 1992.
"The equity premium and the allocation of income risk,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 16(3-4), pages 509-532.
- Danthine, J.P. & Donaldson, J.B. & Mehra, R., 1992. "The Equity Premium and the Allocation of Income Risk," Papers 92-09, Columbia - Graduate School of Business.
- J. Danthine & J. Donaldson & R. Mehra, 2010. "The equity premium and the allocation of income risk," Levine's Working Paper Archive 1398, David K. Levine.
- Jean-Pierre DANTHINE & John B. DONALDSON & Rajnish MEHRA, 1992. "The Equity Premium and the Allocation of Income Risk," Cahiers de Recherches Economiques du DÃ©partement d'EconomÃ©trie et d'Economie politique (DEEP) 9203, Université de Lausanne, Faculté des HEC, DEEP.
- Jean-Pierre Danthine & John B. Donaldson & Rajnish Mehra, 1992. "The equity premium and the allocation of income risk," Discussion Paper / Institute for Empirical Macroeconomics 60, Federal Reserve Bank of Minneapolis.
- Brock, William A., 1980.
"Asset Prices in a Production Economy,"
275, California Institute of Technology, Division of the Humanities and Social Sciences.
- G. William Schwert, 1990.
"Why Does Stock Market Volatility Change Over Time?,"
NBER Working Papers
2798, National Bureau of Economic Research, Inc.
- Schwert, G William, 1989. " Why Does Stock Market Volatility Change over Time?," Journal of Finance, American Finance Association, vol. 44(5), pages 1115-53, December.
- Estrella, Arturo & Hardouvelis, Gikas A, 1991.
" The Term Structure as a Predictor of Real Economic Activity,"
Journal of Finance,
American Finance Association, vol. 46(2), pages 555-76, June.
- Arturo Estrella & Gikas A. Hardouvelis, 1989. "The term structure as a predictor of real economic activity," Research Paper 8907, Federal Reserve Bank of New York.
- Mehra, Rajnish & Prescott, Edward C., 1985.
"The equity premium: A puzzle,"
Journal of Monetary Economics,
Elsevier, vol. 15(2), pages 145-161, March.
- Gallant, Ronald & Tauchen, George, 1989.
"Seminonparametric Estimation of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications,"
Econometric Society, vol. 57(5), pages 1091-1120, September.
- Gallant, A.R. & Tauchen, G., 1988. "Seminonparametric Estimation Of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications," Papers 88-59, Chicago - Graduate School of Business.
- Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
- Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
- G. William Schwert, 1990.
"Stock Returns and Real Activity: A Century of Evidence,"
NBER Working Papers
3296, National Bureau of Economic Research, Inc.
- Schwert, G William, 1990. " Stock Returns and Real Activity: A Century of Evidence," Journal of Finance, American Finance Association, vol. 45(4), pages 1237-57, September.
- Chiarella Carl & Semmler Willi & Mittnik Stefan & Zhu Peiyuan, 2002. "Stock Market, Interest Rate and Output: A Model and Estimation for US Time Series Data," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(1), pages 1-39, April.
- Hamilton, James D & Gang, Lin, 1996. "Stock Market Volatility and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(5), pages 573-93, Sept.-Oct.
- Detemple, Jerome B, 1986. " Asset Pricing in a Production Economy with Incomplete Information," Journal of Finance, American Finance Association, vol. 41(2), pages 383-91, June.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marita Kieser).
If references are entirely missing, you can add them using this form.