We develop an envelope condition method (ECM) for dynamic programming problems -- a tractable alternative to expensive conventional value function iteration. ECM has two novel features: First, to reduce the cost, ECM replaces expensive backward iteration on Bellman equation with relatively cheap...

Simulating a realistic-sized equity premium in macroeconomic models has proved a daunting challenge, hence the "equity premium puzzle." "Resolving'' the puzzle requires heavy lifting. Precise choices of particular preferences, shocks, technologies, and hard borrowing constraints can do the...

We use simulation-based techniques to compare and contrast two methods for solving state-dependent pricing models: discretization, which solves and simulates the model on a grid; and collocation, which relies on Chebyshev polynomials. While both methods produce qualitatively similar results,...

This paper presents a new approach to solve dynamic decision models in economics. The proposed procedure, called Nonlinear Model Predictive Control (NMPC), relies on the iterative solution of optimal control problems on finite time horizons and is well established in engineering applications for...

Extreme natural hazards represent, together with crises and wars, the most disruptive phenomena for economic activity. Their economic impact has been shown to be remarkable, long-lasting, and growing over time, though the exact mechanisms at stake are challenging to isolate and quantify. As...

To help first- or second-year graduate students in economics apply their theoretical training, this paper shows how to solve a simple and intuitive computable general equilibrium (CGE) model using a calculator. Because this simplified Harberger model uses Cobb Douglas functional forms for...

Throughout our history we have demonstrated the relationship between the decisions of energetic character, economy and the environment. For this reason is that they begin to develop and implement energetic modeling techniques as alternative tools for both the development of energy policies, and...

How wrong could policymakers be when using linearized solutions to their macroeconomic models instead of nonlinear global solutions? This question became of much practical interest during the Great Recession and the recent zero lower bound crisis. We assess the importance of nonlinearities in a...