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Incomplete-Market Equilibria Solved Recursively on an Event Tree

Author

Listed:
  • Bernard DUMAS

    (University of Lausanne, Swiss Finance Institute, NBER and CEPR)

  • Andrew LYASOFF

    (Boston University)

Abstract

We develop a method that allows one to compute incomplete-market equilibria routinely for Markovian equilibria (when they exist). The main difficulty to be overcome arises from the set of state variables. There are, of course, exogenous state variables driving the economy but, in an incomplete market, there are also endogenous state variables, which introduce path dependence. We write on an event tree the system of all first-order conditions of all times and states and solve recursively for state prices, which are dual variables. We illustrate this “dual” method and show its many practical advantages by means of several examples.

Suggested Citation

  • Bernard DUMAS & Andrew LYASOFF, "undated". "Incomplete-Market Equilibria Solved Recursively on an Event Tree," Swiss Finance Institute Research Paper Series 08-49, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp0849
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    File URL: http://ssrn.com/abstract=1326298
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    Cited by:

    1. Chabakauri, Georgy, 2010. "Asset pricing with heterogeneous investors and portfolio constraints," LSE Research Online Documents on Economics 43142, London School of Economics and Political Science, LSE Library.

    More about this item

    Keywords

    incomplete market; financial-market equilibrium; computation; recursive methods;

    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
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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