Bank holding companies (BHCs) invest in risky projects through bank entities or sell projects for a fee, thus engaging in shadow banking. BHCs can increase their fee income by guaranteeing sold projects with a recourse to the bank's balance sheet. When the expected guarantee repayments depend on...

We investigate actual capital chosen by banks in presence of capital minimum requirements and ex-post penalties for violating them. The model yields excess capital that is always positive and increases during times of distress in the economy, which is in line with empirical evidence. Next, we...