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The term structure of interest rates in a pure exchange economy where investors have heterogeneous recursive preferences

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  • Isaenko, Sergei

Abstract

This paper presents an equilibrium model of the term structure of interest rates when investors have heterogeneous recursive preferences. We consider a pure exchange economy with two classes of investors who have different relative risk aversions and different elasticities of intertemporal substitution. The RRA and the EIS can be varied independently for each investor. We use the model to examine the effects that the heterogeneity in preferences of investors has on their portfolio-consumption choices as well as on the instantaneous interest rate and bond yield. We find that the heterogeneity only in the RRA affects the cross-sectional as well as intertemporal variations of the consumption rate, the portfolio allocations for each investor and the instantaneous interest rate. However, the heterogeneity only in the EIS matters only for the intertemporal variations of these processes.

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  • Isaenko, Sergei, 2008. "The term structure of interest rates in a pure exchange economy where investors have heterogeneous recursive preferences," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(3), pages 457-481, August.
    • Handle: RePEc:eee:quaeco:v:48:y:2008:i:3:p:457-481
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    1. M. Fatih Guvenen, 2003. "A Parsimonious Macroeconomic Model for Asset Pricing: Habit Formation or Cross-sectional Heterogeneity?," RCER Working Papers 499, University of Rochester - Center for Economic Research (RCER).
    2. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    3. Mankiw, N. Gregory & Zeldes, Stephen P., 1991. "The consumption of stockholders and nonstockholders," Journal of Financial Economics, Elsevier, vol. 29(1), pages 97-112, March.
    4. repec:fth:harver:1421 is not listed on IDEAS
    5. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    6. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    7. Yacine Aït-Sahalia & Jonathan A. Parker & Motohiro Yogo, 2004. "Luxury Goods and the Equity Premium," Journal of Finance, American Finance Association, vol. 59(6), pages 2959-3004, December.
    8. Kandel, Shmuel & Stambaugh, Robert F., 1991. "Asset returns and intertemporal preferences," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 39-71, February.
    9. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    10. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    11. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
    12. Alberto Giovannini & Philippe Weil, 1989. "Risk Aversion and Intertemporal Substitution in the Capital Asset Pricing Model," NBER Working Papers 2824, National Bureau of Economic Research, Inc.
    13. Longstaff, Francis A., 1989. "A nonlinear general equilibrium model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 23(2), pages 195-224, August.
    14. Bhamra, Harjoat S. & Uppal, Raman, 2006. "The role of risk aversion and intertemporal substitution in dynamic consumption-portfolio choice with recursive utility," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 967-991, June.
    15. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 157-188.
    16. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    17. Orazio P. Attanasio & James Banks & Sarah Tanner, 2002. "Asset Holding and Consumption Volatility," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 771-792, August.
    18. Dumas, Bernard & Uppal, Raman & Wang, Tan, 2000. "Efficient Intertemporal Allocations with Recursive Utility," Journal of Economic Theory, Elsevier, vol. 93(2), pages 240-259, August.
    19. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
    20. Schroder, Mark & Skiadas, Costis, 1999. "Optimal Consumption and Portfolio Selection with Stochastic Differential Utility," Journal of Economic Theory, Elsevier, vol. 89(1), pages 68-126, November.
    21. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    22. Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-436.
    23. Longstaff, Francis A & Schwartz, Eduardo S, 1992. "Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-1282, September.
    24. Sun, Tong-sheng, 1992. "Real and Nominal Interest Rates: A Discrete-Time Model and Its Continuous-Time Limit," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 581-611.
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    1. Roche, Hervé, 2011. "Asset prices in an exchange economy when agents have heterogeneous homothetic recursive preferences and no risk free bond is available," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 80-96, January.
    2. Chabakauri, Georgy & Rytchkov, Oleg, 2021. "Asset pricing with index investing," Journal of Financial Economics, Elsevier, vol. 141(1), pages 195-216.
    3. Eric Aldrich, 2012. "Trading Volume in General Equilibrium with Complete Markets," 2012 Meeting Papers 36, Society for Economic Dynamics.
    4. Harjoat S. Bhamra & Raman Uppal, 2014. "Asset Prices with Heterogeneity in Preferences and Beliefs," Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 519-580.
    5. Chabakauri, Georgy, 2015. "Dynamic equilibrium with rare events and heterogeneous Epstein-Zin investors," LSE Research Online Documents on Economics 60737, London School of Economics and Political Science, LSE Library.
    6. Chabakauri, Georgy, 2015. "Dynamic equilibrium with rare events and heterogeneous epstein-zin investors," LSE Research Online Documents on Economics 62003, London School of Economics and Political Science, LSE Library.
    7. Jaroslav Borovicka, 2009. "Heterogeneous beliefs under recursive preferences," 2009 Meeting Papers 892, Society for Economic Dynamics.
    8. Richard Wallick, 2012. "Agent-based modeling, public choice, and the legacy of Gordon Tullock," Public Choice, Springer, vol. 152(1), pages 223-244, July.

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