Default and bankruptcy in an entrepreneurial economy with incomplete markets

We build a general equilibrium model with incomplete markets, production, default, and bankruptcy. The existence of equilibrium is proved. Theoretically, under appropriate conditions, we show that the reduced-form entrepreneurial equilibrium and profit-maximization entrepreneurial equilibrium, as defined by Magill and Quinzii (1996), are equivalent. In addition, we find an inverse relationship between the economy real interest rate and the probability of default. This result is empirically tested by applying the Cox proportional hazards model with time-dependent covariates for a sample of sole proprietorships’ unsecured credit operations in the Brazilian economy. The estimates confirm the findings from the theoretical model.