TY - JOUR AU - Judd,Kenneth L. AU - Guu,Sy-Ming TI - Asymptotic Methods for Asset Market Equilibrium Analysis JF - National Bureau of Economic Research Working Paper Series VL - No. 8135 PY - 2001 Y2 - February 2001 UR - http://www.nber.org/papers/w8135 L1 - http://www.nber.org/papers/w8135.pdf N1 - Author contact info: Kenneth L. Judd Hoover Institution Stanford University Stanford, CA 94305-6010 Tel: 650/723-5866 Fax: 650/723-1687 E-Mail: kennethjudd@mac.com AB - 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. ER -