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Multiplicity and Sunspots in General Financial Equilibrium with Portfolio Constraints

  • Suleyman Basak

    ()

    (London Business School and CEPR)

  • David Cass

    ()

    (Department of Economics, University of Pennsylvania)

  • Juan Manuel Licari

    ()

    (Department of Economics, University of Pennsylvania)

  • Anna Pavlova

    ()

    (London Business School and CEPR)

This paper explores the role of portfolio constraints in generating multiplicity of equilibrium. We present a simple asset market economy with two goods and two households, households who face constraints on their ability to take unbounded positions in risky stocks. Absent such constraints, equilibrium allocation is unique and is Pareto efficient. With a single portfolio constraint in place, the efficient equilibrium is still possible; however, additional inefficient equilibria in which the constraint is binding may emerge. We show further that with sunspots, there may be a continuum of equilibria; sunspots may lead to real indeterminacy. Extending our analysis of sunspot phenomena to three periods, we show that our model is also capable of generating moves in stock prices unrelated to so-called fundamentals; such movements are triggered purely by sunspots which only affect investors'(rational) expectations about future market behavior. This provides a simple, coherent explanation for the apparent inability of empirical studies to link many sharp price movements in stock markets to news about economic fundamentals.

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File URL: http://economics.sas.upenn.edu/system/files/working-papers/06-012.pdf
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Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 06-012.

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Length: 46 pages
Date of creation: 01 Jun 2006
Date of revision:
Handle: RePEc:pen:papers:06-012
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  1. Anna Pavlova & Roberto Rigobon, 2005. "Wealth Transfers, Contagion, and Portfolio Constraints," NBER Working Papers 11440, National Bureau of Economic Research, Inc.
  2. Geanakoplos, J. & Magill, M. & Quinzii, M. & Dreze, J., . "Generic inefficiency of stock market equilibrium when markets are incomplete," CORE Discussion Papers RP -916, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
  4. Cass, David & Pavlova, Anna, 2004. "On trees and logs," Journal of Economic Theory, Elsevier, vol. 116(1), pages 41-83, May.
  5. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-41.
  6. Roll, Richard, 1984. "Orange Juice and Weather," American Economic Review, American Economic Association, vol. 74(5), pages 861-80, December.
  7. Detemple, Jerome & Murthy, Shashidhar, 1997. "Equilibrium Asset Prices and No-Arbitrage with Portfolio Constraints," Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 1133-74.
  8. Harrison Hong & Jeremy C. Stein, 2003. "Differences of Opinion, Short-Sales Constraints, and Market Crashes," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 487-525.
  9. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
  10. Cass, David & Siconolfi, Paolo & Villanacci, Antonio, 2001. "Generic regularity of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 61-76, September.
  11. Barlevy, Gadi & Veronesi, Pietro, 2003. "Rational panics and stock market crashes," Journal of Economic Theory, Elsevier, vol. 110(2), pages 234-263, June.
  12. Jérôme B. Detemple & Shashidhar Murthy, 1997. "Equilibrium Asset Prices and No-Arbitrage with Portfolio Constraints," CIRANO Working Papers 97s-12, CIRANO.
  13. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
  14. French, Kenneth R. & Roll, Richard, 1986. "Stock return variances : The arrival of information and the reaction of traders," Journal of Financial Economics, Elsevier, vol. 17(1), pages 5-26, September.
  15. David M. Cutler & James M. Poterba & Lawrence H. Summers, 1988. "What Moves Stock Prices?," NBER Working Papers 2538, National Bureau of Economic Research, Inc.
  16. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
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