Economic Theory

, Volume 18, Issue 1, pp 127–157

Asymptotic methods for asset market equilibrium analysis


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

DOI: 10.1007/PL00004130

Cite this article as:
Judd, K. & Guu, S. Econ Theory (2001) 18: 127. doi:10.1007/PL00004130


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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001