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Asset Pricing and Hedging in Financial Markets with Transaction Costs: An Approach Based on the Von Neumann–Gale Model

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Author Info

  • M. Dempster

    ()

  • I. Evstigneev

    ()

  • M. Taksar

    ()

Abstract

The paper develops a general discrete-time framework for asset pricing and hedging in financial markets with proportional transaction costs and trading constraints. The framework is suggested by analogies between dynamic models of financial markets and (stochastic versions of) the von Neumann-Gale model of economic growth. The main results are hedging criteria stated in terms of "dual variables" -- consistent prices and consistent discount factors. It is shown how these results can be applied to a number of specialized models involving transaction costs and portfolio restrictions.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s10436-006-0042-2
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Bibliographic Info

Article provided by Springer in its journal Annals of Finance.

Volume (Year): 2 (2006)
Issue (Month): 4 (October)
Pages: 327-355

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Handle: RePEc:kap:annfin:v:2:y:2006:i:4:p:327-355

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Web page: http://www.springerlink.com/link.asp?id=112370

Related research

Keywords: Asset pricing; Hedging; Transaction costs; Trading constraints; Von Neumann–Gale model; Consistent valuation systems; G12; G13; C61; C67;

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References

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  1. Kabanov, Yu. M. & Stricker, Ch., 2001. "The Harrison-Pliska arbitrage pricing theorem under transaction costs," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 185-196, April.
  2. Elyès Jouini, 2001. "Arbitrage and investment opportunities," Finance and Stochastics, Springer, vol. 5(3), pages 305-325.
  3. Jouini, Elyes, 2000. "Price functionals with bid-ask spreads: an axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 547-558, December.
  4. Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short-Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232.
  5. Jouini, Elyès, 2001. "Arbitrage and control problems in finance: A presentation," Economics Papers from University Paris Dauphine 123456789/5590, Paris Dauphine University.
  6. Elyès Jouini & Hédi Kallal, 1999. "Viability and Equilibrium in Securities Markets with Frictions," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 275-292.
  7. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
  8. Igor V. Evstigneev & Klaus Schürger & Michael I. Taksar, 2002. "On the fundamental theorem of asset pricing: random constraints and bang-bang no-arbitrage criteria," Bonn Econ Discussion Papers bgse24_2002, University of Bonn, Germany.
  9. Jouini, Elyès & Kallal, Hedi, 1995. "Arbitrage in securities markets with short-sales constraints," Economics Papers from University Paris Dauphine 123456789/5647, Paris Dauphine University.
  10. repec:fth:inseep:9514 is not listed on IDEAS
  11. Bernard Bensaid & Jean-Philippe Lesne & Henri Pagès & José Scheinkman, 1992. "Derivative Asset Pricing With Transaction Costs," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 63-86.
  12. Jouini, Elyès & Napp, Clotilde, 2001. "Arbitrage and investment opportunities," Economics Papers from University Paris Dauphine 123456789/5591, Paris Dauphine University.
  13. Jouini Elyes & Kallal Hedi, 1995. "Martingales and Arbitrage in Securities Markets with Transaction Costs," Journal of Economic Theory, Elsevier, vol. 66(1), pages 178-197, June.
  14. Y.M. Kabanov, 1999. "Hedging and liquidation under transaction costs in currency markets," Finance and Stochastics, Springer, vol. 3(2), pages 237-248.
  15. Kallal, Hedi & Jouini, Elyès, 1995. "Martingales and arbitrage in securities markets with transaction costs," Economics Papers from University Paris Dauphine 123456789/5630, Paris Dauphine University.
  16. repec:fth:inseep:9513 is not listed on IDEAS
  17. 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.
  18. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
  19. Jouini, Elyès & Kallal, Hedi, 1999. "Viability and equilibrium in securities markets with frictions," Economics Papers from University Paris Dauphine 123456789/5603, Paris Dauphine University.
  20. Napp, Clotilde, 2001. "Pricing issues with investment flows Applications to market models with frictions," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 383-408, June.
  21. Jouini, Elyes, 2001. "Arbitrage and control problems in finance: A presentation," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 167-183, April.
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Citations

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Cited by:
  1. Evstigneev, Igor V. & Schenk-Hoppe, Klaus Reiner, 2007. "Pure and randomized equilibria in the stochastic von Neumann-Gale model," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 871-887, September.
  2. Wael Bahsoun & Igor V. Evstigneev & Michael I. Taksar, 2009. "Growth-optimal investments and numeraire portfolios under transaction costs: An analysis based on the von Neumann-Gale model," Papers 0909.4730, arXiv.org.
  3. Li, Wu, 2008. "A multi-agent growth model based on the von Neumann-Leontief framework," MPRA Paper 11302, University Library of Munich, Germany.
  4. Roux, Alet, 2011. "The fundamental theorem of asset pricing in the presence of bid-ask and interest rate spreads," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 159-163, March.
  5. Wael Bahsoun & Igor Evstigneev & Michael Taksar, 2007. "Capital growth theory and von Neumann-Gale dynamics," The School of Economics Discussion Paper Series 0720, Economics, The University of Manchester.
  6. Ha-Young Kim & Frederi Viens, 2012. "Portfolio optimization in discrete time with proportional transaction costs under stochastic volatility," Annals of Finance, Springer, vol. 8(2), pages 405-425, May.
  7. Wael Bahsoun & Igor Evstigneev & Michael Taksar, 2007. "Rapid paths in von Neumann-Gale dynamical systems," The School of Economics Discussion Paper Series 0718, Economics, The University of Manchester.
  8. Alet Roux, 2007. "The fundamental theorem of asset pricing under proportional transaction costs," Papers 0710.2758, arXiv.org.

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