Collateral premia and risk sharing under limited commitment
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A competitive general equilibrium model with complete collateralized contracts under limited commitment is proposed and analyzed. With limited aggregate collateral, risk sharing is imperfect. There exists a minimal spanning set of finite collateralized contracts that generates the feasible space and that contains more than the complete set of collateralized Arrow securities. Examples show that exogenously restricting feasible contracts has a significant impact on agents’ welfare. I prove that constrained optimal allocations can be decentralized as a general equilibrium with collateral constraints, and vice versa. Because a capital good serves as collateral, it has an additional value, called collateral premium. The collateral premium is zero if and only if risk sharing is perfect. This is a testable implication of the model.
KeywordsCollateral premium Complete collateralized contracts General equilibrium Limited commitment Endogenous incomplete markets
JEL ClassificationD52 D53
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- Geanakoplos, J.: Promises promises. In: Santa Fe Institute Studies in the Sciences of Complexity, vol. 27, pp. 285–320. Addison-Wesley, Reading (1997)Google Scholar
- Geanakoplos, J.: Liquidity, default, and crashes. In: Advances in Economics and Econometrics: Theory and Applications. Eighth World Congress (2003)Google Scholar
- Geanakoplos, J., Zame, W.: Collateralized asset markets. Technical report, UCLA Working Paper (2007)Google Scholar
- Kilenthong, W.T.: Essays on general equilibrium with limited commitment. PhD Dissertation, University of Chicago (2006, June)Google Scholar
- Kilenthong, W.T., Townsend, R.M.: Market based, segregated exchanges in securities with default risk. UCSB Working Paper (2009)Google Scholar
- Lustig, H.: The market price of aggregate risk and the wealth distribution. UCLA Working Paper (2007)Google Scholar
- Magill M., Quinzii M.: Theory of Incomplete Markets. MIT Press, USA (1996)Google Scholar
- Ray D.: Development Economics. Princeton University Press, Princeton (1998)Google Scholar
- Sundaram R.: A First Course in Optimization Theory. Cambridge University Press, Cambridge (1996)Google Scholar