The net worth trap: investment and output dynamics in the presence of financing constraints

We study the impact of financing constraints on investment and output dynamics, in a continuous time setting with output a linear function of capital. Decline of net worth reduces investment and, if firms can rent capital to unconstrained outside investors, can create a 'net worth trap' with both investment and output falling below normal levels for long time periods. We provide a detailed account of our model solution and discuss both the economic intuition underpinning our results and the implications for macroeconomic modeling.