We present a flexible and scalable method for computing global solutions of high-dimensional stochastic dynamic models. Within a time iteration or value function iteration setup, we interpolate functions using an adaptive sparse grid algorithm. With increasing dimensions, sparse grids grow much...

Solving dynamic economic models that capture salient real-world heterogeneity and non-linearity requires the approximation of high-dimensional functions. As their dimensionality increases, compute time and storage requirements grow exponentially. Sparse grids alleviate this curse of...

In this paper we examine the effect of collateral requirements on the prices of long-lived assets. We consider a Lucas-style infinite-horizon exchange economy with heterogeneous agents and collateral constraints. There are two trees in the economy which can be used as collateral for short-term...

Many assets derive their value not only from future cash flows but also from their ability to serve as collateral. In this paper, we investigate this collateral value and its impact on asset returns in an infinite-horizon general equilibrium model with heterogeneous agents facing collateral...

In this paper we examine the quantitative effects of margin regulation on volatility in asset markets. We consider a general equilibrium in finite-horizon economy with heterogeneous agents and collateral constraints. There are two assets in the economy which can be used as collateral for...