This paper provides formulae for computing perturbation method approximations of unconditional variances of variables in nonlinear DSGE models. Spurious higher order terms that creep into multi-step ahead forecasts can produce explosive time paths frustrating traditional approaches to estimating...

This paper details some of the results of a student/teacher collaboration to develop computer algebra materials for use by students in an intermediate macroeconomics course. Many years ago the teacher required students solve macro models using a pencil and paper. For the most part these models...

We provide an overview of automatic differentiation (AD), a technique for the efficient computation of derivatives of functions defined in some programming language. We give a short explanation of how AD works, indicate the anticipated cost of derivatives computed using AD, and survey what AD...

When crossing the boundary of stability of a given dynamical system only indicates a bifurcation point and the type of the bifurcating solutions. But it doesn't tell us how and how many new solutions bifurcate or disappear in a bifurcation point. To answer this question one has to take into...

Generally, in the financial literature, the notion of quadratic VaR is implicitly confused with the Delta-Gamma VaR, because more authors dealt with portfolios that contained derivatives instruments. In this paper, we postpone to estimate both the expected shortfall and Value-at-Risk of a...

Dans un precedent article (Bender et Hoesli, 1996), les auteurs ont discute les raisons pour lesquelles il est necessaire d'evaluer periodiquement a la valeur de marche les portefeuilles immobiliers des investisseurs institutionnels. Il ressort des recherches recentes que la meilleure solution...

WE analyze the multiple cut generation scheme in the analytic center cutting plane method. We propose an optimal primal and dual updating direction when the cuts are central. The dircetion is optimal in the sense that it maximizes the product of the new dual slacks and of the new primal...