Asymptotic Methods for Asset Market Equilibrium Analysis
Kenneth L. Judd, Sy-Ming Guu
NBER Working Paper No. 8135
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. To illustrate this method, we apply it to analyzing the allocative, price, and welfare effects of introducing a new derivative security. We find that the introduction of any derivative will raise the value of the risky asset relative to bonds.
Published: Judd, Kenneth L. and Sy-Ming Guu. “Asymptotic Methods for Asset Market Equilibrium Analysis." Economic Theory 18 (2001): 127-157.