Editorial BoardXML

Seoul Journal of Economics - Vol. 27 , No. 4

[ Article ]
Seoul Journal of Economics - Vol. 27, No. 4, pp. 469-488
Abbreviation: SJE
ISSN: 1225-0279 (Print)
Print publication date 30 Nov 2014
Received 01 Jul 2014 Revised 19 Oct 2014 Accepted 20 Oct 2014

Incomplete Markets with Endogenous Portfolio Constraints and Redundant Assets
Guangsug Hahn
Professor, Division of Humanities and Social Sciences, POSTECH, 77 Cheongam-Ro, Nam-Gu, Pohang, Gyeongbuk, 790-784, Korea, Tel: 82-54-279-2032 (econhahn@postech.ac.kr)

Funding Information ▼

JEL Classification: C62, D51


Abstract

This paper shows that a competitive equilibrium exists in an exchange economy with incomplete financial markets where redundant assets are traded and the asset trading of each agent is subject to endogenous portfolio constraints. The set of budget-feasible portfolios need not be bounded in the presence of redundant assets. To address this problem, we impose the positive semi-independence condition on individual portfolio constraints.


Keywords: Incomplete markets, Competitive equilibrium, Endogenous portfolio constraints, Redundant assets, Constrained arbitrage

Acknowledgments

This work was supported by the POSTECH Basic Science Research Institute Grant. I would like to thank two referees for valuable comments and Joon Yeop Kwon for his excellent research assistance. The usual disclaimer applies.


References
1. Aouani, Z., and Cornet, B. “Existence of Financial Equilibria with Restricted Participation.” Journal of Mathematical Economics 45 (No. 12 2009): 772-86.
2. Balasko, Y., D. Cass, and P. Siconolfi. “The Structure of Financial Equilibrium with Endogenous Yields: The Case of Restricted Participation.” Journal of Mathematical Economics 19 (Nos. 1-2 1990): 195-216.
3. Carosi, L., M. Gori, and A. Villanacci. “Endogenous Restricted Participation in General Financial Equilibrium.” Journal of Mathematical Economics 45 (No. 12 2009): 787-806.
4. Cass, D., P. Siconolfi, and A. Villanacci. “Generic Regularity of Competitive Equilibria with Restricted Participation.” Journal of Mathematical Economics 36 (No. 1 2009): 61-76.
5. Cea-Echenique, S., and J. P. Torres-Martinez. “General Equilibrium with Endogenous Trading Constraints.” Mimeograph, 2014.
6. Elsinger, H., and M. Summer. “Arbitrage and Optimal Portfolio Choice with Financial Constraints.” Mimeograph, 2001.
7. Gale, D., and A. Mas-Colell. “An Equilibrium Existence Theorem for a General Model without Ordered Preferences.” Journal of Mathematical Economics 2 (No. 1 1975): 9-15.
8. Gale, D., and A. Mas-Colell. “Correction to an Equilibrium Existence Theorem for a General Model without Ordered Preferences.” Journal of Mathematical Economics 6 (No. 3 1979): 297-98.
9. Geanakoplos, J., and W. Zame. “Collateral Equilibrium I: A Basic Framework.” Economic Theory 56 (No. 3 2014): 443-92.
10. Hahn, G. “A Simple Model of Incomplete Markets with Endogenous Portfolio Constraints.'' Journal of Economic Studies 32 (2014): 19-40.
11. Hahn, G., and D. C. Won. “Survival, Arbitrage, and Equilibrium with Financial Derivatives in Constrained Asset Markets.” Seoul Journal of Economics 25 (No. 4 2012): 441-61.
12. Hahn, G., and D. C. Won. “Equilibrium Theory with Portfolio Constraints.” Mimeograph, 2014.
13. Heath, D. C., and R. A. Jarrow. “Arbitrage, Continuous Trading, and Margin Requirements.” Journal of Finance 42 (No. 5 1987): 1129-42.
14. Jouini, E., and H. Kallal. “Viability and Equilibrium in Securities Markets with Frictions.” Mathematical Finance 9 (No. 3 1999): 273-92.
15. Luttmer, E. G. J. “Asset Pricing in Economies with Frictions.” Econometrica 64 (No. 6 1996): 1439-67.
16. Page, F. H., and M. H. Wooders. “Arbitrage with Price-Dependent Preferences: Equilibrium and Market Stability.” Fields Institute Communications 23 (1999): 189-212.
17. Seghir, A., and J. P. Torres-Martinez. “On Equilibrium Existence with Endogenous Restricted Financial Participation.” Journal of Mathematical Economics 47 (No. 1 2011): 37-42.
18. Werner, J. “Equilibrium with Incomplete Markets without Ordered Preferences.” Journal of Economic Theory 49 (No. 2 1989): 379-82.
19. Won, D. C. “Limited Arbitrage Pricing and Equilibrium.” Korean Journal of Financial Studies 32 (No. 3 2003): 85-132 (in Korean).