A financial crisis in a monetary economy

We generalize Lagos and Wright's (2005) framework for a monetary economy in a way that there exist two technologies, highʺ and low,ʺ for producing the goods in a decentralized matching market. The high technology is more productive than the low technology, while the agents who use the high technology cannot commit in advance to deliver the goods. The lack of commitment makes it infeasible to produce the goods with the high technology if trade is conducted via a simple cash payment. To use the high technology, private valuable assets, e.g., residential property, should be put up as a hostageʺ à la Williamson (1983) in the transaction. In this setting, a deterioration in the balance sheet due to a financial crisis leads to the disappearance of residential assets which are not yet put up as collateral, and hinder the usage of the high technology, leading to a decline in aggregate productivity. In this case, monetary injections cannot restore productivity after a financial crisis.