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Spanning the State Space with Options


  • Arditti, Fred D.
  • John, Kose


In the Arrow-Debreu approach to uncertainty it has been recognized that an inadequate number of markets in contingent claims would be a source of inefficiency. Several researchers have studied the allocative inefficiencies resulting from incomplete markets, i.e., when the number of independent securities is less than the number of states and therefore the state-space cannot be “spanned†by those securities. In a situation where the number of primitive assets is inadequate to span the state-space, the new spanning opportunities opened up by derived assets written on the primitives is an interesting question.

Suggested Citation

  • Arditti, Fred D. & John, Kose, 1980. "Spanning the State Space with Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 1-9, March.
  • Handle: RePEc:cup:jfinqa:v:15:y:1980:i:01:p:1-9_00

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    Cited by:

    1. Tian, Weidong, 2014. "Spanning with indexes," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 111-118.
    2. Wi Saeng Kim & Colin M. Young, 1991. "The Effect Of Traded Option Introduction On Shareholder Wealth," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 14(2), pages 141-151, June.
    3. Bertrand, Philippe & Prigent, Jean-luc, 2016. "Equilibrium of financial derivative markets under portfolio insurance constraints," Economic Modelling, Elsevier, vol. 52(PA), pages 278-291.
    4. Ioannis Polyrakis & Foivos Xanthos, 2011. "Maximal submarkets that replicate any option," Annals of Finance, Springer, vol. 7(3), pages 407-423, August.
    5. Alexandre M. Baptista, 2005. "Options And Efficiency In Multidate Security Markets," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 569-587, October.
    6. Alexandre Baptista, 2000. "Options and Efficiency in Multiperiod Security Markets," Econometric Society World Congress 2000 Contributed Papers 0299, Econometric Society.
    7. Christos Kountzakis & Ioannis Polyrakis, 2006. "The completion of security markets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 29(1), pages 1-21, May.
    8. repec:ipg:wpaper:2014-330 is not listed on IDEAS
    9. Galvani, Valentina & Troitsky, Vladimir G., 2010. "Options and efficiency in spaces of bounded claims," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 616-619, July.
    10. Martin, Ian, 2018. "Options and the Gamma Knife," LSE Research Online Documents on Economics 88077, London School of Economics and Political Science, LSE Library.
    11. repec:wyi:journl:002169 is not listed on IDEAS
    12. Galvani, Valentina, 2009. "Option spanning with exogenous information structure," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 73-79, January.
    13. Liu, Jun & Pan, Jun, 2003. "Dynamic derivative strategies," Journal of Financial Economics, Elsevier, vol. 69(3), pages 401-430, September.
    14. Sahlstrom, Petri, 2001. "Impact of stock option listings on return and risk characteristics in Finland," International Review of Financial Analysis, Elsevier, vol. 10(1), pages 19-36.
    15. Patrick Roger, 1991. "Options et complétude des marchés," Revue Économique, Programme National Persée, vol. 42(5), pages 787-800.
    16. Vohra, Suprita & Fabozzi, Frank J., 2019. "Effectiveness of developed and emerging market FX options in active currency risk management," Journal of International Money and Finance, Elsevier, vol. 96(C), pages 130-146.
    17. Yang Gao & Bianxia Sun, 2018. "Impacts of Introducing Index Futures on Stock Market Volatilities: New Evidences from China," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 21(04), pages 1-23, December.
    18. Mark D. Flood, 1991. "An introduction to complete markets," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 32-57.
    19. Asli Ascioglu & Murat Aydogdu & Lynn Phillips Kugele, 2013. "The Impact of Option Listing on the Trading Activity of Turkcell’s American Depository Receipt (ADR)," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 27(1), pages 1-18.
    20. Wang, Xiandong & He, Jianmin, 2017. "A simple method for generalized sequential compound options pricing," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 85-91.
    21. Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2020. "Integrated dynamic models for hedging international portfolio risks," European Journal of Operational Research, Elsevier, vol. 285(1), pages 48-65.

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