Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral
We consider an infinite-horizon exchange economy with incomplete markets and collateral constraints. As in the two-period model of Geanakoplos and Zame (2002), households can default on their liabilities at any time, and financial securities are only traded if the promises associated with these securities are backed by collateral. We examine an economy with a single perishable consumption good, where the only collateral available consists of productive assets. In this model, competitive equilibria always exist and we show that, under the assumption that all exogenous variables follow a Markov chain, there also exist stationary equilibria. These equilibria can be characterized by a mapping from the exogenous shock and the current distribution of financial wealth to prices and portfolio choices. We develop an algorithm to approximate this mapping numerically and discuss ways to implement the algorithm in practice. A computational example demonstrates the performance of the algorithm and shows some quantitative features of equilibria in a model with collateral and default. Copyright The Econometric Society 2003.
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- Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
- Shleifer, Andrei & Vishny, Robert W, 1992.
" Liquidation Values and Debt Capacity: A Market Equilibrium Approach,"
Journal of Finance,
American Finance Association, vol. 47(4), pages 1343-1366, September.
- Shleifer, Andrei & Vishny, Robert W., 1992. "Liquidation Values and Debt Capacity: A Market Equilibrium Approach," Scholarly Articles 27692663, Harvard University Department of Economics.
- Kubler, Felix & Schmedders, Karl, 2002. "Recursive Equilibria In Economies With Incomplete Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 6(02), pages 284-306, April.
- Aloisio Araujo & Mário Rui Páscoa & Juan Pablo Torres-Martínez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
- Pascoa, Mario Rui & Araújo, Aloísio Pessoa de & Torres-Martínez, Juan Pablo, 2001. "Collateral avoids Ponzi schemes in incomplete markets," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 419, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Magill, Michael & Quinzii, Martine, 1996. "Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 133-170.
- Magill, M. & Quinzii, M., 1993. "Icomplete Markets Over an Infinite Horizon: Long-Lived Securities and Speculative Bubbles," Papers 9321, Southern California - Department of Economics.
- Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
- David K. Levine & William R. Zame, 1992. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," UCLA Economics Working Papers 666, UCLA Department of Economics.
- David K. Levine & William R. Zame, 1993. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," UCLA Economics Working Papers 703, UCLA Department of Economics.
- David K. Levine & William Zame, 1996. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," Levine's Working Paper Archive 1954, David K. Levine.
- Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Oxford University Press, vol. 60(4), pages 865-888.
- Timothy J. Kehoe & David K. Levine, 1992. "Debt constrained asset markets," Working Papers 445, Federal Reserve Bank of Minneapolis.
- Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
- Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-487, June.
- John Heaton & Deborah Lucas, 1993. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," NBER Working Papers 4249, National Bureau of Economic Research, Inc.
- Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
- Pradeep Dubey & John Geanakoplos & Martin Shubik, 2000. "Default in a General Equilibrium Model with Incomplete Markets," Cowles Foundation Discussion Papers 1247, Cowles Foundation for Research in Economics, Yale University.
- Fernández-Villaverde, Jesús & Krueger, Dirk, 2011. "Consumption And Saving Over The Life Cycle: How Important Are Consumer Durables?," Macroeconomic Dynamics, Cambridge University Press, vol. 15(05), pages 725-770, November.
- Jesus Fernandez-Villaverde & Dirk Krueger, 2004. "Consumption and Saving over the Life Cycle: How Important are Consumer Durables?," 2004 Meeting Papers 357b, Society for Economic Dynamics.
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