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The Importance Of The Number Of Different Agents In A Heterogeneous Asset-Pricing Model

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  • Wouter J. Denhaan

    (UCSD)

Abstract

In this paper, I compare a two-agent asset-pricing model with the corresponding model with a continuum of agents. In a two-agent economy, interest rates respond to idiosyncratic income shocks because each agent represents half of the population. These interest rate effects facilitate consumption smoothing. An agent in a two-agent economy, however, can never lend more than the other agent is allowed to borrow, which prevents him from building a buffer stock of assets. For most parameter values, the first effect is more important. For some parameter values, the interest rate effects in the two-agent economy are so strong that a relaxation of the borrowing constraint reduces an agent's utility.In contrast to these differences, I find that for most parameter values there are no large differences in average interest rates across the two types of economies. In addition, I analyze the business cycle behavior of interest rates in an incomplete markets economy with a continuum of agents. The dynamic response of interest rates to aggregate shocks is a lot more complicated than the response in a complete markets economy and the magnitude of the response is bigger.

Suggested Citation

  • Wouter J. Denhaan, 2000. "The Importance Of The Number Of Different Agents In A Heterogeneous Asset-Pricing Model," Computing in Economics and Finance 2000 349, Society for Computational Economics.
  • Handle: RePEc:sce:scecf0:349
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    References listed on IDEAS

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    2. Fanti, Luciano, 2014. "The dynamics of a banking duopoly with capital regulations," Economic Modelling, Elsevier, vol. 37(C), pages 340-349.
    3. Santiago Mira-Navarro, 2002. "Equilibria of heterogeneous economies with a continuum of agents," Documentos de trabajo conjunto ULL-ULPGC 2002-08, Facultad de Ciencias Económicas de la ULPGC.
    4. Brumm, Johannes & Grill, Michael, 2014. "Computing equilibria in dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 142-160.
    5. Fanti, Luciano & Gori, Luca, 2012. "The codetermined firm in a Cournot duopoly: A stability analysis," Economic Modelling, Elsevier, vol. 29(4), pages 1242-1247.
    6. Luciano Fanti, 2015. "Environmental Standards and Cournot Duopoly: A Stability Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(4), pages 577-593, August.
    7. Christensen, Peter Ove & Larsen, Kasper & Munk, Claus, 2012. "Equilibrium in securities markets with heterogeneous investors and unspanned income risk," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1035-1063.
    8. Finocchiaro, Daria, 2011. "Inattention, wealth inequality and equilibrium asset prices," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 146-155, March.
    9. Felix Kubler & Karl Schmedders, 2001. "Incomplete Markets, Transitory Shocks, and Welfare," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 747-766, October.
    10. Michael Grill & Johannes Brumm, 2010. "Computing Equilibria in Dynamic Models with Occasionally Binding Constraints," 2010 Meeting Papers 695, Society for Economic Dynamics.
    11. Tomasz Dubiel-Teleszyński, 2010. "Complex Dynamics in a Bertrand Duopoly Game with Heterogeneous Players," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 2(2), pages 95-116, March.
    12. Fanti, Luciano & Gori, Luca, 2012. "The dynamics of a differentiated duopoly with quantity competition," Economic Modelling, Elsevier, vol. 29(2), pages 421-427.
    13. Anagnostopoulos Alexis & Tang Xin, 2015. "Evaluating linear approximations in a two-country model with occasionally binding borrowing constraints," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(1), pages 1-49, January.
    14. Polkovnichenko, Valery, 2004. "Limited stock market participation and the equity premium," Finance Research Letters, Elsevier, vol. 1(1), pages 24-34, March.
    15. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.

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