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On Leland's Strategy of Option Pricing with Transaction Costs

Author

Listed:
  • Y. M. KABANOV
  • M. SAFARIAN

Abstract

We compute the limiting hedging error of the Leland strategy for the approximate pricing of the European call option in a market with transactions costs. It is not equal to zero in the case when the level of transactions costs is a constant, in contradiction with the claim in Leland (1985).
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Suggested Citation

  • Y. M. Kabanov & M. Safarian, 1995. "On Leland's Strategy of Option Pricing with Transaction Costs," SFB 373 Discussion Papers 1995,65, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  • Handle: RePEc:zbw:sfb373:199565
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    References listed on IDEAS

    as
    1. Wolfgang HÄRDLE & O. LINTON, 1995. "Nonparametric Regression," SFB 373 Discussion Papers 1995,29, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    2. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics,in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339 Elsevier.
    3. Wolfgang HÄRDLE & A. B. TSYBAKOV, 1994. "Additive Nonparametric Regression on Principal Components," SFB 373 Discussion Papers 1994,39, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    4. Hardle, W. & Marron, J., 1989. "Bootstrap Simultaneous Error Bars For Nonparametric Regression," CORE Discussion Papers 1989023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Citations

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    Cited by:

    1. Thai Huu Nguyen & Serguei Pergamenschchikov, 2015. "Approximate hedging with proportional transaction costs in stochastic volatility models with jumps," Papers 1505.02627, arXiv.org.
    2. C. Atkinson & C. A. Alexandropoulos, 2006. "Pricing a European Basket Option in the Presence of Proportional Transaction Costs," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(3), pages 191-214.
    3. Erindi Allaj, 2013. "Implicit transaction costs and the fundamental theorems of asset pricing," Papers 1310.1882, arXiv.org, revised Jul 2017.
    4. repec:dau:papers:123456789/5374 is not listed on IDEAS
    5. Romuald Elie & Emmanuel Lépinette, 2015. "Approximate hedging for nonlinear transaction costs on the volume of traded assets," Finance and Stochastics, Springer, vol. 19(3), pages 541-581, July.
    6. Sebastien Darses & Emmanuel Denis, 2010. "Limit Theorem for a Modified Leland Hedging Strategy under Constant Transaction Costs rate," Working Papers hal-00467704, HAL.
    7. repec:wsi:ijtafx:v:20:y:2017:i:04:n:s0219024917500248 is not listed on IDEAS
    8. Elettra Agliardi & Rainer Andergassen, 2007. "(S,S)-Adjustment Strategies And Dynamic Hedging," Working Paper series 09_07, Rimini Centre for Economic Analysis.
    9. Pellizzari, P., 2005. "Static hedging of multivariate derivatives by simulation," European Journal of Operational Research, Elsevier, vol. 166(2), pages 507-519, October.
    10. Thai Huu Nguyen & Serguei Pergamenshchikov, 2015. "Approximate hedging problem with transaction costs in stochastic volatility markets," Papers 1505.02546, arXiv.org.
    11. Joel Vanden, 2006. "Exact Superreplication Strategies for a Class of Derivative Assets," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(1), pages 61-87.
    12. repec:dau:papers:123456789/4654 is not listed on IDEAS
    13. Ehsan Azmoodeh, 2010. "On the fractional Black-Scholes market with transaction costs," Papers 1005.0211, arXiv.org.
    14. Zhao, Yonggan & Ziemba, William T., 2007. "Hedging errors with Leland's option model in the presence of transaction costs," Finance Research Letters, Elsevier, vol. 4(1), pages 49-58, March.
    15. Ostermark, Ralf, 1998. "Call option pricing and replication under economic friction," European Journal of Operational Research, Elsevier, vol. 108(1), pages 184-195, July.
    16. Melnikov, Alexander & Tong, Shuo, 2014. "Quantile hedging on equity-linked life insurance contracts with transaction costs," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 77-88.
    17. Huu Thai Nguyen & Serguei Pergamenchtchikov, 2012. "Approximate hedging problem with transaction costs in stochastic volatility markets," Working Papers hal-00747689, HAL.
    18. Elettra Agliardi & Rainer Andergassen, 2011. "(S,s)-adjustment Strategies and Hedging under Markovian Dynamics," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 36(2), pages 112-131, December.
    19. Huu Thai Nguyen & Serguei Pergamenchtchikov, 2014. "Approximate hedging with proportional transaction costs in stochastic volatility models with jumps," Working Papers hal-00979199, HAL.

    More about this item

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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