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The Optimal Price of Default

Author

Listed:
  • Wei Ma

    (Deptartment of manufacturing Engineering & Engineering Management, City University of Hong Kong)

  • Chuangyin Dang

    (Deptartment of manufacturing Engineering & Engineering Management, City University of Hong Kong)

Abstract

With assets taken to be pools, rational expectations on their delivery rates are, as default is permissible in an economy and its penalty prescribed in terms of utility, indispensable to the existence of equilibrium. And the resulting equilibrium relies heavily on the prevailing penalty level. We propose, in this paper, a path-following algorithm for calculating the level of penalty that leads to a Pareto efficient equilibrium—Pareto efficient among the set of equilibria of the economies with distinct penalty levels. This algorithm brings off those rational expectations by identifying their upper and lower bounds iteratively until the discrepancies between them are admissible.

Suggested Citation

  • Wei Ma & Chuangyin Dang, 2013. "The Optimal Price of Default," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 145-167, May.
    • Handle: RePEc:cuf:journl:y:2013:v:14:i:1:ma:dang
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    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    2. Oliver Hart & John Moore, 1998. "Default and Renegotiation: A Dynamic Model of Debt," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(1), pages 1-41.
    3. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    4. Brown, Donald J & DeMarzo, Peter M & Eaves, B Curtis, 1996. "Computing Equilibria When Asset Markets Are Incomplete," Econometrica, Econometric Society, vol. 64(1), pages 1-27, January.
    5. Douglas W. Diamond, 1984. "Financial Intermediation and Delegated Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 393-414.
    6. Junfeng Qiu, 2011. "Bank money, aggregate liquidity, and asset prices," Annals of Economics and Finance, Society for AEF, vol. 12(2), pages 295-346, November.
    7. Smale, Steve, 1976. "A convergent process of price adjustment and global newton methods," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 107-120, July.
    8. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    9. Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September.
    10. Cheng-si Zhang & Da-yin Zhang & Jeffery Breece, 2011. "Financial Crisis, Monetary Policy, and Stock Market Volatility in China," Annals of Economics and Finance, Society for AEF, vol. 12(2), pages 371-388, November.
    11. 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.
    12. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 647-663.
    13. John Geanakoplos, 2001. "Liquidity, Default and Crashes: Endogenous Contracts in General Equilibrium," Cowles Foundation Discussion Papers 1316R2, Cowles Foundation for Research in Economics, Yale University, revised Jun 2002.
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    More about this item

    Keywords

    Default; Penalty; Path-following; Pareto efficiency; Rational expectation;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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