Foster and Hart proposed an operational measure of riskiness for discrete random variables. We show that their defining equation has no solution for many common continuous distributions. We show how to extend consistently the definition of riskiness to continuous random variables. For many...

We show that binomial economies with financial assets are an informative and tractable model to study endogenous leverage and collateral equilibrium: endogenous leverage can be highly volatile, but it is always easy to compute. The possibility of default can have a dramatic effect on...

We show that binomial economies with financial assets are an informative and tractable model to study endogenous leverage and collateral equilibrium: endogenous leverage can be highly volatile, but it is always easy to compute. The possibility of default can have a dramatic effect on...

During the Great Recession, the collapse of consumption across the US varied greatly but systematically with house-price declines. Our message is that household financial health matters for understanding this relationship. Two facts are essential for our finding: (1) the decline in house prices...

During the Great Recession, the collapse of consumption across the U.S. varied greatly but systematically with house-price declines. We find that financial distress among U.S. households amplified the sensitivity of consumption to house-price shocks. We uncover two essential facts: (1) the...

Our paper provides a complete characterization of leverage and default in binomial economies with financial assets serving as collateral. Our Binomial No-Default Theorem states that any equilibrium is equivalent (in real allocations and prices) to another equilibrium in which there is no...

Our paper provides a complete characterization of leverage and default in binomial economies with financial assets serving as collateral. Our Binomial No-Default Theorem states that any equilibrium is equivalent (in real allocations and prices) to another equilibrium in which there is no...

Our paper provides a complete characterization of leverage and default in binomial economies with financial assets serving as collateral. First, our Binomial No-Default Theorem states that any equilibrium is equivalent (in real allocations and prices) to another equilibrium in which there is no...

The goal of this paper is to show that household-level financial distress (FD) varies greatly, meaning there is unequal exposure to macroeconomic risk, and that FD can increase macroeconomic vulnerability. To do this, we first establish three facts: (i) regions in the U.S. vary significantly in...