Agency costs in dynamic economic models

We consider an overlapping generations economy where capital is produced from bank loans under stochastic constant returns to scale, and subject to idiosyncratic shocks whose realisations are costly to verify. Our formulation differs from earlier work in permitting investment projects to be infinitely divisible and private agency costs to be convex. If there are external economies to financial intermediation, then deviations from steady-state output are negatively correlated with the spread between loan and deposit rates. Moreover, the capital stock correspondence is set-valued, a result consistent with poverty traps, growth cycles, and humpshaped impulse response functions.