We study investment options in a dynamic agency model. Moral hazard creates an option to wait and agency conflicts affect the timing of investment. The model sheds light, theoretically and quantitatively, on the evolution of firms' dynamics, in particular the decline of the failure rate and the...

We consider a principal-agent model in which the agent needs to raise capital from the principal to finance a project. Our model is based on DeMarzo and Fishman (2003), except that the agent's cash flows are given by a Brownian motion with drift in continuous time. The difficulty in writing an...

This paper puts forward a teaching manual for how to set up and solve a continuous time model that allows one to analyze endogenous (1) level and risk dynamics. The latter includes (2) tail risk and crisis probability as well as (3) the Volatility Paradox. Concepts such as (4) illiquidity and...

In our incomplete markets economy financial frictions affect the optimal inflation target. Households choose portfolios consisting of risky (uninsurable) capital and money. Money is a bubbly store of value. The market outcome is constrained Pareto inefficient due to a pecuniary externality. Each...

This paper develops a dynamic two-country neoclassical stochastic growth model with incomplete markets. Short-term credit flows can be excessive and reverse suddenly. The equilibrium outcome is constrained inefficient due to pecuniary externalities. First, an undercapitalized country borrows too...

A theory of money needs a proper place for financial intermediaries. Intermediaries diversify risks and create inside money. In downturns, micro-prudent intermediaries shrink their lending activity, fire-sell assets and supply less inside money, exactly when money demand rises. The resulting...

This article surveys the macroeconomic implications of financial frictions. Financial frictions lead to persistence and when combined with illiquidity to non-linear amplification effects. Risk is endogenous and liquidity spirals cause financial instability. Increasing margins further restrict...

Contracts in a dynamic model must address a number of issues absent from static frameworks. Shocks to firm value may weaken the incentive effects of securities (e.g. cause options to fall out of the money), and the impact of some CEO actions may not be felt until far in the future. We derive the...

This paper incorporates a bubble term in the standard Fiscal Theory of the Price Level equation to explain why countries with persistently negative primary surpluses can have a positively valued currency and low inflation. It also provides two illustrative models with closed-form solutions in...