We develop a general model of lending in the presence of endogenous borrowing constraints. Borrowing constraints arise because borrowers face limited liability and debt repayment cannot be perfectly enforced. In the model, the dynamics of debt are closely linked with the dynamics of borrowing constraints. In fact, borrowing constraints must satisfy a dynamic consistency requirement: the value of outstanding debt restricts current access to short-term capital, but is itself determined by future access to credit. This dynamic consistency is not guaranteed in models of exogenous borrowing constraints, where the ability to raise short-term capital is limited by some prespecified function of debt. We characterize the optimal default-free contract—which minimizes borrowing constraints at all histories—and derive implications for firm growth, survival, leverage and debt maturity. The model is qualitatively consistent with stylized facts on the growth and survival of firms. Comparative statics with respect to technology and default constraints are derived. Borrowing constraints are an important determinant of firm growth and survival. 1 Such constraints may arise in connection to the financing of investment opportunities faced by firms or temporary liquidity needs, such as those required to survive a recession. This paper develops a theory of endogenous borrowing constraints and studies its implications for firm dynamics. In our model, debt is constrained by the firm’s limited liability and option to default. A lending contract specifies an initial loan size, future financing, and a repayment schedule. The choice of these variables in turn determines future growth, the firm’s future borrowing capacity, and its ability and willingness to repay. Hence, borrowing constraints and firm dynamics are jointly determined. We study this dynamic design problem. Our model builds on Thomas and Worral’s (1994) model of foreign direct investment. At time zero a risk neutral borrower (firm or entrepreneur) has a project which requires a fixed initial set-up cost. Every period the project yields revenues that increase with the amount of 1. There is considerable evidence suggesting that financing constraints are important determinants of firm dynamics. Gertler and Gilchrist (1994) argue that liquidity constraints may explain why small manufacturing firms respond more to a tightening of monetary policy than do larger manufacturing firms. Perez-Quiros and Timmermann (2000) show that in recessions smaller firms are more sensitive to the worsening of credit market conditions as measured by higher interest rates and default premia. Evans and Jovanovic (1989) show that the liquidity constraints are essential in the decision to become an entrepreneur. Fazzari, Hubbard and Petersen (1988), among others, view financial constraints as an explanation for the dynamic behaviour of aggregate investment, and Cabral and Mata (1996) are able to fit reasonably well the size distribution of Portuguese manufacturing firms by estimating a simple model of financing constraints. For surveys see Hubbard (1998) and Stein (2003).
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