IDEAS home Printed from https://ideas.repec.org/p/kud/kuiedp/0912.html
   My bibliography  Save this paper

Incomplete Financial Markets and Jumps in Asset Prices

Author

Listed:
  • Hervé Crès

    (Sciences Po, Paris)

  • Tobias Markeprand

    (Department of Economics, University of Copenhagen)

  • Mich Tvede

    (Department of Economics, University of Copenhagen)

Abstract

A dynamic pure-exchange general equilibrium model with uncertainty is studied. Fundamentals are supposed to depend continuously on states of nature. It is shown that: 1. if financial markets are complete, then asset prices vary continuously with states of nature, and; 2. if financial markets are incomplete, jumps in asset prices may be unavoidable. Consequently incomplete financial markets may increase volatility in asset prices significantly.

Suggested Citation

  • Hervé Crès & Tobias Markeprand & Mich Tvede, 2009. "Incomplete Financial Markets and Jumps in Asset Prices," Discussion Papers 09-12, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:0912
    as

    Download full text from publisher

    File URL: http://www.econ.ku.dk/english/research/publications/wp/dp_2009/0912.pdf/
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    2. Covarrubias Enrique, 2010. "Regular Infinite Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-21, July.
    3. Ghiglino, Christian & Tvede, Mich, 1997. "Multiplicity of Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 1-15, July.
    4. Mas-Colell, Andreu, 1991. "Indeterminacy in Incomplete Market Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 45-61, January.
    5. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    6. Lucas, Deborah J., 1994. "Asset pricing with undiversifiable income risk and short sales constraints: Deepening the equity premium puzzle," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 325-341, December.
    7. Ravi Bansal & Ivan Shaliastovich, 2011. "Learning and Asset-price Jumps," The Review of Financial Studies, Society for Financial Studies, vol. 24(8), pages 2738-2780.
    8. Calvet, Laurent E. & Fisher, Adlai J., 2008. "Multifrequency jump-diffusions: An equilibrium approach," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 207-226, January.
    9. Torben G. Andersen & Luca Benzoni & Jesper Lund, 2002. "An Empirical Investigation of Continuous‐Time Equity Return Models," Journal of Finance, American Finance Association, vol. 57(3), pages 1239-1284, June.
    10. Alessandro Citanna & Karl Schmedders, 2005. "Excess price volatility and financial innovation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 559-587, October.
    11. Mas-Colell, Andreu & Monteiro, Paulo K., 1996. "Self-fulfilling equilibria: An existence theorem for a general state space," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 51-62.
    12. Felix Kubler & Karl Schmedders, 2003. "Generic inefficiency of equilibria in the general equilibrium model with incomplete asset markets and infinite time," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 1-15, August.
    13. Covarrubias Enrique, 2010. "Regular Infinite Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-21, July.
    14. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-487, June.
    15. Balduzzi, Pierluigi & Foresi, Silverio & Hait, David J., 1997. "Price Barriers and the Dynamics of Asset Prices in Equilibrium," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(2), pages 137-159, June.
    16. Beker, Pablo & Chattopadhyay, Subir, 2010. "Consumption dynamics in general equilibrium: A characterisation when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2133-2185, November.
    17. Mas-Colell, Andreu & Zame, William R., 1996. "The existence of security market equilibrium with a non-atomic state space," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 63-84.
    18. Bjørn Eraker & Michael Johannes & Nicholas Polson, 2003. "The Impact of Jumps in Volatility and Returns," Journal of Finance, American Finance Association, vol. 58(3), pages 1269-1300, June.
    19. Telmer, Chris I, 1993. "Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-1832, December.
    20. Elul, Ronel, 1999. "Effectively complete equilibria--A note," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 113-119, August.
    21. Lim, G. C. & Martin, Vance L. & Teo, Leslie E., 1998. "Endogenous Jumping And Asset Price Dynamics," Macroeconomic Dynamics, Cambridge University Press, vol. 2(2), pages 213-237, June.
    22. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    23. Chichilnisky, Graciela & Zhou, Yuqing, 1998. "Smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 27-42, January.
    24. Huang, Chi-Fu, 1985. "Information structure and equilibrium asset prices," Journal of Economic Theory, Elsevier, vol. 35(1), pages 33-71, February.
    25. Aloisio Araujo & Paulo K. Monteiro & M´rio Rui P´ascoa, 1996. "Infinite Horizon Incomplete Markets With A Continuum Of States," Mathematical Finance, Wiley Blackwell, vol. 6(2), pages 119-132, April.
    26. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    27. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Covarrubias, Enrique, 2013. "The number of equilibria of smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 263-265.
    2. Covarrubias, Enrique, 2011. "The equilibrium set of economies with a continuous consumption space," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 137-142, March.
    3. Covarrubias, Enrique, 2013. "The number of equilibria of smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 263-265.
    4. Covarrubias Enrique, 2010. "Regular Infinite Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-21, July.
    5. Covarrubias Enrique, 2010. "Regular Infinite Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-21, July.
    6. Zaier Aouani & Bernard Cornet, 2017. "Eliminating useless portfolios in constrained financial economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 159-190, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Calvet, Laurent E. & Fisher, Adlai J., 2008. "Multifrequency jump-diffusions: An equilibrium approach," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 207-226, January.
    2. Christensen, Peter Ove & Larsen, Kasper & Munk, Claus, 2012. "Equilibrium in securities markets with heterogeneous investors and unspanned income risk," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1035-1063.
    3. Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 2001. "Hedging Derivative Securities and Incomplete Markets: An (epsilon)-Arbitrage Approach," Operations Research, INFORMS, vol. 49(3), pages 372-397, June.
    4. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    5. Accinelli, Elvio & Covarrubias, Enrique, 2014. "Smooth economic analysis for general spaces of commodities," MPRA Paper 53222, University Library of Munich, Germany.
    6. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    7. Saito, Makoto, 1998. "A simple model of incomplete insurance the case of permanent shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 763-777, May.
    8. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    9. Cogley, Timothy, 2002. "Idiosyncratic risk and the equity premium: evidence from the consumer expenditure survey," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 309-334, March.
    10. Kris Jacobs, 2002. "The Rate of Risk Aversion May Be Lower Than You Think," CIRANO Working Papers 2002s-08, CIRANO.
    11. Covarrubias, Enrique, 2011. "The equilibrium set of economies with a continuous consumption space," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 137-142, March.
    12. Covarrubias, Enrique, 2013. "The number of equilibria of smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 263-265.
    13. Monteiro, Paulo Klinger & Pascoa, Mario R., 2000. "Discreteness of equilibria in incomplete markets with a continuum of states," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 229-237, March.
    14. Alon Brav & George M. Constantinides & Christopher C. Geczy, 2002. "Asset Pricing with Heterogeneous Consumers and Limited Participation: Empirical Evidence," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 793-824, August.
    15. George-Marios Angeletos & Laurent E. Calvet, 2001. "Incomplete Markets, Growth, and the Business Cycle," Harvard Institute of Economic Research Working Papers 1910, Harvard - Institute of Economic Research.
    16. Andrei Semenov, 2003. "High-Order Consumption Moments and Asset Pricing," Working Papers 2003_4, York University, Department of Economics, revised Jan 2005.
    17. Peter Woehrmann & Willi Semmler & Martin Lettau, "undated". "Nonparametric Estimation of the Time-varying Sharpe Ratio in Dynamic Asset Pricing Models," IEW - Working Papers 225, Institute for Empirical Research in Economics - University of Zurich.
    18. Telmer, Chris I. & Zin, Stanley E., 2002. "Prices as factors: Approximate aggregation with incomplete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1127-1157, July.
    19. Accinelli, E. & Covarrubias, E., 2014. "An extension of the Sard–Smale Theorem to convex domains with an empty interior," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 123-128.
    20. Kazufumi Yamana, 2016. "Structural Household Finance," Discussion papers ron279, Policy Research Institute, Ministry of Finance Japan.

    More about this item

    Keywords

    general equilibrium; financial markets; jumps in asset prices;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kud:kuiedp:0912. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thomas Hoffmann (email available below). General contact details of provider: https://edirc.repec.org/data/okokudk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.