This paper presents a dynamic general equilibrium model of banking where asymmetric information about asset quality leads to illiquidity of real assets, liquidity transformation by banks, and bank capital requirements endogenously. The model provides explanations as to why banks can issue liquid liabilities while other assets are illiquid, and why part of bank liabilities must be outside equity, i.e., bank capital. Using this model, this paper analyzes the long-run effects of banking on economic growth as well as business-cycle dynamics of asset prices, asset illiquidity and bank capital requirements in response to productivity shocks and changes in the degree of asymmetric information. This paper also discusses the implications of the model for dynamic bank capital requirements recently discussed in policy forums.
The model is a version of the AK model, where goods are produced from productive real assets (physical capital) and new real assets are produced from goods. In the model, the fraction of agents who can produce new real assets, which is determined by idiosyncratic shocks, is so small that income from these agents’ real assets is not enough to achieve the efficient level of aggregate investment in new real assets. Agents who can produce new real assets can obtain goods from other agents by selling their existing real assets in a competitive secondary market. However, because the productivity of each real asset is private information for the seller in the secondary market, the secondary market price of real assets becomes identical for every real asset sold, undervaluing high-quality real assets. The market’s undervaluation discourages agents who can produce new real assets from selling the high-quality fraction of their real assets, resulting in a decline in the transfer of goods to these agents, which reduces aggregate investment in new real assets. The market’s undervaluation is the definition of illiquidity in this paper.