Endogenous borrowing constraints and default when markets are incomplete

Incomplete markets and non-default borrowing constraints increase the volatility of pricing kernels and are helpful when addressing assetpricing puzzles. However, ruling out default when markets are in complete is suboptimal. This paper endogenizes borrowing constraints as an intertemporal incentive structure to default. It modeIs an infinitehorizon economy, where agents are allowed not to pay their liabilities and face borrowing constraints that depend on the individual history of default. Those constraints trade off the economy's risk-sharing possibilities and incentives to prevent default. The equilibrium presents stationary properties, such as an invariant distribution for the assets' solvency rate.

Wealth composition, endogenous fertility and the dynamics of income inequality

This paper analyzes how differences in the composition of wealth between human and physical capital among families affect fertility choices. These in tum influence the dynamics of wealth and income inequality across generations through a tradeoffbetween quantity and quality of children. Wealth composition affects fertility because physical capital has only a wealth effect on number of children, whereas human capital increases the time cost of child-rearing in addition to the wealth effect. I construct a model combining endogenous fertility with borrowing constraints in human capital investments, in which weaIth composition is determined endogenously. The model is calibrated to the PNAD, a Brazilian household survey, and the main findings of the paper can be summarized as follows. First, the model implies that the crosssection relationship between fertility and wealth typically displays a U-shaped pattem, reflecting differences in wealth composition between poor and rich families. Also, the quantity-quality tradeoff implies a concave cross-section relationship between investments per child and wealth. Second, as the economy develops and families overcome their bOlTowing constraints, the negative effect of weaIth on fertility becomes smaller, and persistence of inequality declines accordingly. The empirical evidence presented in this paper is consistent with both implications .