We model a stylized banking system where banks are characterized by the amount of capital, cash reserves and their exposure to the interbank loan market as borrowers as well as lenders. A network of interbank lending is established that is used as a transmission mechanism for the failure of...

We develop a model in which banks bid for liquidity provided by the central bank in fixed and variable rate auctions, considering liquidity injections and extractions as well as the impact of a subsequent interbank market. We derive the equilibrium demands of banks establishing the prevalence of...