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COMPLEX DYNAMICS IN LUCAS’ TREE ASSET PRICING MODEL WITH DYNAMIC SELF-CONTROL PREFERENCES

Published online by Cambridge University Press:  28 November 2019

Marco Airaudo
Marco Airaudo*
Affiliation:
Drexel University
*
Address correspondence to: Marco Airaudo, School of Economics, Drexel University, Gerri C. LeBow Hall, 3220 Market Street, Philadelphia, PA 19104, USA. Phone: +1-215-898-6982. e-mail: marco.airaudo@drexel.edu.
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Abstract

This paper studies the global equilibrium dynamics implied by a Lucas’ tree asset pricing model where the representative agent is subject to temptation in consumption choices, and displays dynamic self-control preferences, as defined by Gul and Pesendorfer [(2004) Econometrica 72, 119–158.]. It shows that endogenous cycles of period 2 and higher, as well as chaotic dynamics exist provided temptation utility is sufficiently important (with respect to standard commitment utility) and sufficiently convex. For parameterizations leading to complex deterministic dynamics, a stochastic version of the model admits rational expectations equilibria displaying excess volatility with respect to the underlying fundamentals.

Keywords

Asset PricingTemptationSelf-ControlEndogenous CyclesChaotic DynamicsSunspot Equilibrium

Information

Type
Articles
Information
Macroeconomic Dynamics , Volume 25 , Issue 7 , October 2021 , pp. 1755 - 1778
Copyright
© Cambridge University Press 2019

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Footnotes

I am grateful to the Associate Editor and an anonymous referee for their helpful feedbacks. I would also like to thank seminar participants at Collegio Carlo Alberto (Italy), the 2014 Symposium of the Society for Nonlinear Dynamics and Econometrics (Baruch College, New York), the 2015 Workshop of the Central European Program in Economic Theory (University of Udine, Italy), and the Fall 2015 Midwest Theory Meeting (Penn State University, State College, PA) for useful comments and suggestions. All errors remain mine.

References

REFERENCES

Airaudo, M. (2017) Complex stock price dynamics under Max Weber’s spirit of capitalism hypothesis. Economic Theory 64, 47–73.10.1007/s00199-016-0969-0CrossRefGoogle Scholar
Ameriks, J., Caplin, A., Leahy, J. and Tyler, T. (2007) Measuring self-control problems. American Economic Review 97, 966–972.10.1257/aer.97.3.966CrossRefGoogle Scholar
Azariadis, C. and Guesnerie, R. (1986) Sunspots and cycles. Review of Economic Studies 53, 725–738.10.2307/2297716CrossRefGoogle Scholar
Bansal, R. and Yaron, A. (2004) Risks for the long run: A potential resolution to asset pricing puzzles. Journal of Finance 59, 1481–1509.10.1111/j.1540-6261.2004.00670.xCrossRefGoogle Scholar
Bakshi, G. S. and Chen, Z. (1996) The spirit of capitalism and stock market prices. American Economic Review 86, 133–157.Google Scholar
Barberis, M., Huang, M. and Santos, T. (2001) Prospect theory and asset prices. Quarterly Journal of Economics 116, 1–53.10.1162/003355301556310CrossRefGoogle Scholar
Bernheim, B. D., Ray, D. and Yeltekin, S. (2015) Poverty and self-control. Econometrica 83, 1877–1911.10.3982/ECTA11374CrossRefGoogle Scholar
DeJong, D. N. and Ripoll, M. (2007) Do self-control preferences help explain the puzzling behavior of asset prices. Journal of Monetary Economics 54, 1035–1050.10.1016/j.jmoneco.2006.03.002CrossRefGoogle Scholar
Devaney, R. L. (2003) An Introduction of Chaotic Dynamical Systems. Boulder, CO: Westview Press.Google Scholar
Diks, C., Hommes, C. H., Panchenko, V. and Van der Weide, R. (2008) E&F Chaos: A user friendly software package for non-linear economic dynamics. Computational Economics 32, 221–244.10.1007/s10614-008-9130-xCrossRefGoogle Scholar
Favero, C. A., Gozluklu, A. and Tamoni, A. (2011) Demographic trends, the dividend-price ratio and the predictability of long-run stock market returns. Journal of Financial and Quantitative Analysis 46, 1493–1520.10.1017/S0022109011000329CrossRefGoogle Scholar
Frederick, S., Loewenstein, G. and O’Donoughe, T. (2002) Time discounting and time preference: A critical review. Journal of Economic Literature 40, 351–401.10.1257/jel.40.2.351CrossRefGoogle Scholar
Fukuda, S. (1993) The emergence of equilibrium cycles in a monetary economy with a separable utility function. Journal of Monetary Economics 32, 321–334.10.1016/0304-3932(93)90008-4CrossRefGoogle Scholar
Grandmont, J. M. (1985) On endogenous competitive business cycles. Econometrica 53, 995–1045.10.2307/1911010CrossRefGoogle Scholar
Gul, F. and Pesendorfer, W. (2001) Temptation and self-control. Econometrica 69, 1403–1435.10.1111/1468-0262.00252CrossRefGoogle Scholar
Gul, F. and Pesendorfer, W. (2004) Self-control and the theory of consumption. Econometrica 72, 119–158.10.1111/j.1468-0262.2004.00480.xCrossRefGoogle Scholar
Hiraguchi, R. (2018) Temptation and self-control in a monetary economy. Macroeconomic Dynamics 22, 1076–1095.10.1017/S1365100516000572CrossRefGoogle Scholar
Huang, K. X. D., Liu, Z. and Zhu, J. Q. (2015) Temptation and self-control: some evidence and applications. Journal of Money, Credit and Banking 47, 481–615.10.1111/jmcb.12222CrossRefGoogle Scholar
Kamihigashi, T. (2008) The spirit of capitalism, stock market bubbles and output fluctuations. International Journal of Economic Theory 4, 3–28.10.1111/j.1742-7363.2007.00066.xCrossRefGoogle Scholar
Kennedy, J. A. and Stockman, D. R. (2008) Chaotic equilibria in models with backward dynamics. Journal of Economic Dynamics and Control 32, 939–955.10.1016/j.jedc.2007.04.004CrossRefGoogle Scholar
Krusell, P., Kuruscu, B. and Smith, A. A. (2002) Time orientation and asset prices. Journal of Monetary Economics 49, 107–135.10.1016/S0304-3932(01)00095-2CrossRefGoogle Scholar
Krusell, P., Kuruscu, B. and Smith, A. A. (2010) Temptation and taxation. Econometrica 78, 2063–2084.Google Scholar
Kumru, C. S. and Thanopoulos, A. C. (2011) Social security reform with self-control preferences. Journal of Public Economics 95, 886–899.10.1016/j.jpubeco.2011.03.001CrossRefGoogle Scholar
Laibson, D. (1997) Golden eggs and hyperbolic discounting. Quarterly Journal of Economics 62, 443–477.10.1162/003355397555253CrossRefGoogle Scholar
Lettau, M. and Van Nieurburgh, S. (2008) Reconciling the return predictability evidence. Review of Financial Studies 21, 1607–1652.10.1093/rfs/hhm074CrossRefGoogle Scholar
Lorenz, H. W. (1993) Nonlinear Dynamical Economics and Chaotic Motion. Berlin, Heidelberg: Springer-Verlag.10.1007/978-3-642-78324-1CrossRefGoogle Scholar
Mani, A., Mulainathan, S., Shafir, E. and Zhao, J. (2013) Poverty impedes cognitive function. Science 341, 976–980.10.1126/science.1238041CrossRefGoogle ScholarPubMed
Michener, R. and Ravikumar, B. (1998) Chaotic dynamics in a cash-in-advance economy. Journal of Economic Dynamics and Control 22, 1117–1137.10.1016/S0165-1889(97)00096-1CrossRefGoogle Scholar
Mullainathan, S. and Banerjee, A. (2010) The shape of temptation: Implications for the economic lives of the poor. NBER Working Paper 15973.Google Scholar
Nakajima, M. (2012) Raising indebtedness and temptation: A welfare analysis. Quantitative Economics 3, 257–288.10.3982/QE87CrossRefGoogle Scholar
Strogatz, S. H. (1994) Nonlinear Dynamics and Chaos. Boulder, CO: Westview Press.Google Scholar
Toussaert, S. (2018) Eliciting temptation and self-control through menu choices: A lab experiment. Econometrica 86, 859–889.10.3982/ECTA14172CrossRefGoogle Scholar
Toussaert, S. (2019) Revealing temptation through menu choice: Field evidence. Manuscript, University of Oxford.Google Scholar