Economic Theory

, Volume 18, Issue 1, pp 127–157

Asymptotic methods for asset market equilibrium analysis

  • Kenneth L. Judd
  • Sy-Ming Guu
Symposium Articles


General equilibrium analysis is difficult when asset markets are incomplete. We make the simplifying assumption that uncertainty is small and use bifurcation methods to compute Taylor series approximations for asset demand and asset market equilibrium. A computer must be used to derive these approximations since they involve large amounts of algebraic manipulation. We use this method to analyze the allocative and welfare effects of introducing a new security. We find that adding any nontrivial derivative security will raise the price of the risky security relative to the bond when risks are small.

Keywords and Phrases: General equilibrium, Incomplete asset markets, Perturbation methods, Bifurcation methods. 
JEL Classification Numbers: C63, D52, G12. 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Kenneth L. Judd
    • 1
  • Sy-Ming Guu
    • 2
  1. 1.Hoover Institution, Stanford, CA 94305, USA (e-mail: US
  2. 2.Department of Industrial Engineering, Yuan-Ze University, Nei-Li, Taoyuan, Taiwan 32026, R.O.C. TW

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