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Stability of Equilibrium Asset Pricing Models: A Necessary and Sufficient Condition

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  • Jaroslav Borovicka
  • John Stachurski

Abstract

We obtain an exact necessary and sufficient condition for the existence and uniqueness of equilibrium asset prices in infinite horizon, discrete-time, arbitrage free environments. Through several applications we show how the condition sharpens and improves on previous results. We connect the condition, and hence the problem of existence and uniqueness of asset prices, with the recent literature on stochastic discount factor decompositions. Finally, we discuss computation of the test value associated with our condition, providing a Monte Carlo method that is naturally parallelizable.

Suggested Citation

  • Jaroslav Borovicka & John Stachurski, 2019. "Stability of Equilibrium Asset Pricing Models: A Necessary and Sufficient Condition," Papers 1910.00778, arXiv.org.
  • Handle: RePEc:arx:papers:1910.00778
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    File URL: http://arxiv.org/pdf/1910.00778
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    References listed on IDEAS

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    1. Ross, Stephen A, 1978. "A Simple Approach to the Valuation of Risky Streams," The Journal of Business, University of Chicago Press, vol. 51(3), pages 453-475, July.
    2. Kreps, David M., 1981. "Arbitrage and equilibrium in economies with infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 15-35, March.
    3. João Brogueira & Fabian Schütze, 2017. "Existence and uniqueness of equilibrium in Lucas’ asset pricing model when utility is unbounded," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 179-190, October.
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