We study optimal government support following a rare disaster that creates heterogeneous firm liquidity needs. Firms’ increase in debt reduces their output due to moral hazard. Banks are subject to a minimum capital requirement that limits deposit insurance costs upon bad aggregate shocks. Without government support, firms’ moral hazard and banks’ funding frictions reinforce each other amplifying output losses. Optimal support is implemented with firm-specific transfers combined with the provision of aggregate risk insurance through a capital requirement relaxation and a public preferred equity stake in banks. Our results shed light on suboptimality features in the actual policy responses to Covid-19 lockdowns.

Off-balance sheet financing of an investment is covered by limited liability, whereas on-balance sheet financing creates unlimited liability towards the bank’s asset-in-place. Off-balance sheet funding thus gives the bank flexibility to voluntarily support debt repayments when the investment fails, which allows the bank to signal information about the quality of its future projects, improving investment efficiency. Yet, limited liability reduces the bank’s effort incentives. Off-balance sheet funding with voluntary support is optimal for activities that are rapidly growing or negatively correlated with existing assets. The model yields testable predictions on the relationship between off-balance sheet debt spreads and sponsors’ characteristics.

We model the debt maturity choice of firms in the presence of fixed issuance costs in the primary market and search frictions in the secondary market for debt. In the secondary market, short maturities improve the bargaining position of sellers, which reduces the required issuance yield. Long maturities reduce reissuance costs. The optimally chosen maturity trades off both considerations. Equilibrium exhibits inefficiently short maturity choices. An individual firm does not internalize that a longer maturity increases expected gains from trade in the secondary market, which attracts more buyers and, hence, facilitates the sale of debt issued by other firms.