Credit Availability and Capital Crunch: On the Role of the Heterogeneity of the Banking System

We analyze the impact of a credit crunch on aggregate investment via the heterogeneous structure of the banking system. We develop a model of endogenous credit allocation in which investors and two banks differ according to their level of capital and monitoring technology. In a context of moral hazard problem, we show that banks' cost advantage in the monitoring of small businesses must be compared to their relative amount of capital in order to explain firms' optimal choice of financing, the credit allocation in the economy and the asymmetric impact of a credit crunch on aggregate investment. A shock of the same magnitude on the two banks level of capital may have a different effect on total investment. We stress that the credit crunch is maximum when the shock hits the bank specialized in the financing of small businesses and when this bank is also the less capitalized. This result is supported by recent empirical studies ( Hancock and Wilcox 1998 ).     

Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications

An entrepreneur with limited liability needs to finance an infinite horizon investment project. An agency problem arises because she can divert operating cash flows before reporting them to the financiers. We first study the optimal contract in discrete time. This contract can be implemented by cash reserves, debt, and equity. The latter is split between the financiers and the entrepreneur and pays dividends when retained earnings reach a threshold. To provide appropriate incentives to the entrepreneur, the firm is downsized when it runs short of cash. We then study the continuous-time limit of the model. We prove the convergence of the discrete-time value functions and optimal contracts. Our analysis yields rich implications for the dynamics of security prices. Stock prices follow a diffusion reflected at the dividend barrier and absorbed at 0. Their volatility, as well as the leverage ratio of the firm, increase after bad performance. Stock prices and book-to-market ratios are in a non-monotonic relationship. A more severe agency problem entails lower price-earning ratios and firm liquidity and higher default risk.     

Price Formation and Equilibrium Liquidity in Fragmented and Centralized Markets

This paper compares centralized and fragmented markets, such as floor and telephone markets. Risk-averse agents compete for one market order. In centralized markets, these agents are market makers or limit order traders. They are assumed to observe the quotes of their competitors. In fragmented markets they are dealers. They can only assess the positions of their competitors. We analyze differences in bidding strategies reflecting differences in market structures. The equilibrium number of dealers is shown to be increasing in the frequency of trades and the volatility of the value of the asset. The expected spread is shown to be equal in both markets, ceteris paribus. But the spread is more volatile in centralized than in fragmented markets.     

On the Optimality of Search Matching Equilibrium When Workers Are Risk Averse

This paper revisits the normative properties of search‐matching economies when homogeneous workers have concave utility functions and wages are bargained over. The optimal allocation of resources is characterized first when information is perfect and second when search effort is not observable. In the former case, employees should be unable to extract a rent. The optimal marginal tax rate is then 100%. As search effort becomes unobservable, an appropriate positive rent is needed and the optimal marginal tax rate is lower. Moreover, the pretax wage is lower in order to boost labor demand. Finally, in both cases, nonlinear income taxation is a key complement to unemployment insurance.     

Optimal Redistributive Taxation in a Search Equilibrium Model

This paper characterizes optimal non-linear income taxation in an economy with a continuum of unobservable productivity levels and endogenous involuntary unemployment due to frictions in the labour markets. Redistributive taxation distorts labour demand and wages. Compared to their efficient values, gross wages, unemployment, and participation are lower. Average tax rates are increasing. Marginal tax rates are positive, even at the top. Finally, numerical simulations suggest that redistribution is much more important in our setting than in a comparable Mirrlees-type setting.