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...

This practical review assesses several approaches to solving medium- and large-scale dynamic stochastic general equilibrium (DSGE) models featuring occasionally binding constraints. In such models, global solution methods are not possible because of the curse of dimensionality. This causes the...

This paper examines the relationship between volatility shocks and preference shocks in an analytically tractable endogenous growth model with recursive preferences and stochastic volatility. I show that there exists an explicit mapping between volatility shocks and preference shocks, and a rise...

This paper examines the effects of time-varying volatility on welfare. I construct a tractable endogenous growth model with recursive preferences, stochastic volatility, and capital adjustment costs. The model shows that a rise in volatility can decelerate growth in the absence of any level...

I study how unsecured credit affects the extent to which unemployment insurance (UI) policies smooth cyclical fluctuations in aggregate consumption. To do so, I develop a real business cycle model with incomplete asset markets, frictional labor markets, and defaultable debt. Using empirically...

Presented here is the mathematical model with one commodity that describes the acceleration of commodity production as a linear function of commodity's deficit on market. The solution of derived differential equation gives the required fluctuations of the commodity's production