IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-00594367.html
   My bibliography  Save this paper

Controlling Price Volatility Through Financial Innovation

Author

Listed:
  • Alessandro Citanna

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • Karl Schmedders

Abstract

In a three-period finite competitive exchange economy with incomplete financial markets and retrading, we study the possibility of controlling asset price volatility through financial innovation. We first give sufficient conditions on preferences and endowments implying that whatever is the innovation which completes markets, it also reduces volatility, typically in this class of economies. We also numerically examine some interesting examples. Then we show the generic existence, even outside this class, of financial innovation which decreases equilibrium price volatility. The existence is obtained under conditions of sufficient market incompleteness. The financial innovation may consist of an asset which is only traded at time zero, or retraded, and with payoffs only at the terminal date. The existence is shown to be robust in the asset payoff space.

Suggested Citation

  • Alessandro Citanna & Karl Schmedders, 2002. "Controlling Price Volatility Through Financial Innovation," Working Papers hal-00594367, HAL.
    • Handle: RePEc:hal:wpaper:hal-00594367
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. Detemple, Jerome B & Selden, Larry, 1991. "A General Equilibrium Analysis of Option and Stock Market Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(2), pages 279-303, May.
    3. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    4. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 495-521.
    5. Pietra, Tito, 1992. "The Structure of the Set of Sunspot Equilibria in Economies with Incomplete Financial Markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(3), pages 321-340, July.
    6. Elul Ronel, 1995. "Welfare Effects of Financial Innovation in Incomplete Markets Economies with Several Consumption Goods," Journal of Economic Theory, Elsevier, vol. 65(1), pages 43-78, February.
    7. Cass, David, 1992. "Sunspots and Incomplete Financial Markets: The General Case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(3), pages 341-358, July.
    8. Duffie, Darrell & Shafer, Wayne, 1986. "Equilibrium in incomplete markets: II : Generic existence in stochastic economies," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 199-216, June.
    9. John Geanakoplos & Heracles M. Polemarchakis, 1985. "Existence, Regularity, and Constrained Suboptimality of Competitive Allocations When the Asset Market Is Incomplete," Cowles Foundation Discussion Papers 764, Cowles Foundation for Research in Economics, Yale University.
    10. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February.
    11. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    12. David Cass & Alessandro Citanna, 1998. "Pareto improving financial innovation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 467-494.
    13. Tito Pietra, 2001. "The set of sunspot equilibria in economies with incomplete financial markets: variable asset prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 649-659.
    14. Telmer, Chris I, 1993. "Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-1832, December.
    15. Siconolfi, P & Villanacci, A, 1991. "Real Indeterminacy in Incomplete Financial Market Economies without Aggregate Risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(3), pages 265-276, July.
    16. Kubler, Felix & Schmedders, Karl, 2000. "Computing Equilibria in Stochastic Finance Economies," Computational Economics, Springer;Society for Computational Economics, vol. 15(1-2), pages 145-172, April.
    17. Gyutaeg Oh, 1996. "Some Results in the CAPM with Nontraded Endowments," Management Science, INFORMS, vol. 42(2), pages 286-293, February.
    18. Thorsten Hens, 2000. "Do Sunspots Matter when Spot Market Equilibria Are Unique?," Econometrica, Econometric Society, vol. 68(2), pages 435-441, March.
    19. Smale, S., 1974. "Global analysis and economics III : Pareto Optima and price equilibria," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 107-117, August.
    20. Zapatero, Fernando, 1998. "Effects of financial innovations on market volatility when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 597-626, April.
    21. Piero Gottardi & Atsushi Kajii, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 713-732.
    22. Rios-Rull, Jose-Victor, 1994. "On the quantitative importance of market completeness," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 463-496, December.
    Full references (including those not matched with items on IDEAS)

    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. Alessandro, CITANNA, 1999. "Financial Innovation and Price Volatility," HEC Research Papers Series 685, HEC Paris.
    2. Calvet, Laurent & Gonzalez-Eiras, Martín & Sodini, Paolo, 2004. "Financial Innovation, Market Participation, and Asset Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(3), pages 431-459, September.
    3. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    4. Sergio Turner, 2006. "Theory of Demand in Incomplete Markets," Working Papers 2006-07, Brown University, Department of Economics.
    5. Gottardi, Piero & Kajii, Atsushi, 2003. "A note on the regularity of competitive equilibria and asset structures," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 763-776, September.
    6. Sergio Turner, 2004. "Pareto Improving Taxation in Incomplete Markets," Econometric Society 2004 Latin American Meetings 310, Econometric Society.
    7. Mario Tirelli, 2003. "Income taxation when markets are incomplete," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 26(2), pages 97-128, November.
    8. Jean-Marc Bonnisseau & Elena Mercato, 2010. "Externalities, consumption constraints and regular economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 123-147, July.
    9. Sergio Turner & Norovsambuu Tumennasan, 2006. "Pareto Improving Monetary Policy in Incomplete Markets," Working Papers 2006-04, Brown University, Department of Economics.
    10. Sergio Turner, 2004. "Pareto Improving Taxation in Incomplete Markets," Econometric Society 2004 North American Summer Meetings 614, Econometric Society.
    11. Elena L. Mercato & Vincenzo Platino, 2017. "On the regularity of smooth production economies with externalities: competitive equilibrium à la Nash," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 287-307, January.
    12. P. Jean-Jacques Herings & Herakles Polemarchakis, 2006. "Pareto Improving Price Regulation when the Asset Market is Incomplete," Studies in Economic Theory, in: Christian Schultz & Karl Vind (ed.), Institutions, Equilibria and Efficiency, chapter 12, pages 225-244, Springer.
    13. Willems, Bert & Morbee, Joris, 2010. "Market completeness: How options affect hedging and investments in the electricity sector," Energy Economics, Elsevier, vol. 32(4), pages 786-795, July.
    14. Atsushi Kajii, "undated". ""The Sequential Regularity of Competitive Equilibria and Sunspots''," CARESS Working Papres 95-11, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
    15. Atsushi Kajii, 2007. "Welfare Gains And Losses In Sunspot Equilibria," The Japanese Economic Review, Japanese Economic Association, vol. 58(3), pages 329-344, September.
    16. Herings, P.J.J. & Kubler, F., 1999. "The Robustness of the CAPM - A Computational Approach," Other publications TiSEM 06a4e5b2-f380-4d5b-a96f-8, Tilburg University, School of Economics and Management.
    17. Herings, P. Jean-Jacques & Konovalov, Alexander, 2009. "Constrained suboptimality when prices are non-competitive," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 43-58, January.
    18. Bouhtou, M. & van Hoesel, C.P.M. & van der Kraaij, A.F. & Lutton, J.L., 2002. "Linear tarification in multi-commodity telecommunications networks," Research Memorandum 012, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    19. TIRELLI, Mario, 2000. "Capital income taxation when markets are incomplete," LIDAM Discussion Papers CORE 2000011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Gori, Michele & Pireddu, Marina & Villanacci, Antonio, 2013. "Regularity and Pareto improving on financial equilibria with price-dependent borrowing restrictions," Research in Economics, Elsevier, vol. 67(1), pages 100-110.

    More about this item

    Keywords

    incomplete markets; financial innovation; volatility;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

    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:hal:wpaper:hal-00594367. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.