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Option Replication in Discrete Time with Transaction Costs

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Author Info
Boyle, Phelim P
Vorst, Ton

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Abstract

Option replication is discussed in a discrete-time framework with transaction costs. The model represents an extension of the Cox-Ross-Rubinstein binomial option pricing model to cover the case of proportional transaction costs. The method proceeds by constructing the appropriate replicating portfolio at each trading interval. Numerical values of these prices are presented for a range of parameter values. The paper derives a simple Black-Scholes type approximation for the option prices with transaction costs and demonstrates numerically that it is quite accurate for plausible parameter values. Copyright 1992 by American Finance Association.

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Publisher Info
Article provided by American Finance Association in its journal Journal of Finance.

Volume (Year): 47 (1992)
Issue (Month): 1 (March)
Pages: 271-93
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Handle: RePEc:bla:jfinan:v:47:y:1992:i:1:p:271-93

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  1. N. Chidambaran, 2007. "Density estimation through quasi-analytic Monte-Carlo simulation: Options arbitrage with transactions costs," Review of Quantitative Finance and Accounting, Springer, vol. 28(1), pages 101-122, January. [Downloadable!] (restricted)
  2. Elyès Jouini, 1999. "Price Functionals with Bid-Ask Spreads: An Axiomatic Approach," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-038, New York University, Leonard N. Stern School of Business-. [Downloadable!]
    Other versions:
  3. Fleten, Stein-Erik & Lindset, Snorre, 2004. "Optimal hedging strategies for multi-period guarantees in the presence of transaction costs: A stochastic programming approach," MPRA Paper 220, University Library of Munich, Germany, revised Apr 2006. [Downloadable!]
  4. Hitoshi Imai & Naoyuki Ishimura & Ikumi Mottate & Masaaki Nakamura, 2006. "On the Hoggard–Whalley–Wilmott Equation for the Pricing of Options with Transaction Costs," Asia-Pacific Financial Markets, Springer, vol. 13(4), pages 315-326, December. [Downloadable!] (restricted)
  5. Michael Monoyios & Alberto Montagnoli, 2002. "Efficient Option Pricing with Transaction Costs," Public Policy Discussion Papers 02-22, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
  6. George M. Constantinides & Stylianos Perrakis, 2002. "Stochastic Dominance Bounds on Derivative Prices in a Multiperiod Economy with Proportional Transaction Costs," NBER Working Papers 8867, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  7. Umberto Cherubini & Giovanni Della Lunga, 2001. "Liquidity and credit risk," Applied Mathematical Finance, Taylor and Francis Journals, vol. 8(2), pages 79-95, May. [Downloadable!] (restricted)
  8. Bas Peeters & Cees L. Dert & André Lucas, 2003. "Black Scholes for Portfolios of Options in Discrete Time: the Price is Right, the Hedge is wrong," Tinbergen Institute Discussion Papers 03-090/2, Tinbergen Institute. [Downloadable!]
  9. Chau, Minh, 2002. "A Dynamic equilibrium with small fixed transactions costs," ESSEC Working Papers DR 02025, ESSEC Research Center, ESSEC Business School. [Downloadable!]
  10. Ren-Raw Chen & Oded Palmon, 2005. "A Non-Parametric Option Pricing Model: Theory and Empirical Evidence," Review of Quantitative Finance and Accounting, Springer, vol. 24(2), pages 115-134, January. [Downloadable!] (restricted)
  11. Michael Monoyios & Alberto Montagnoli, 2002. "Efficient Option Pricing with Transaction Costs," Economics and Finance Discussion Papers 02-22, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
  12. Karl Friedrich Habermeier & Andrei Kirilenko, . "Securities Transaction Taxes and Financial Markets," IMF Working Papers 01/51, International Monetary Fund. [Downloadable!]
  13. David Bakstein, 2001. "The Pricing of Derivatives in Illiquid Markets," OFRC Working Papers Series 2001mf05, Oxford Financial Research Centre. [Downloadable!]
  14. Bruce Tuckman & Jean-Luc Vila, 1993. "Holding Costs and Equilibrium Arbitrage," University of California at Los Angeles, Anderson Graduate School of Management 1153, Anderson Graduate School of Management, UCLA. [Downloadable!]
  15. João Amaro de Matos & Paula Antão, 2001. "Super-replicating Bounds on European Option Prices when the Underlying Asset is Illiquid," Economics Bulletin, AccessEcon, vol. 7(1), pages 1-7. [Downloadable!]
  16. Graziella Pacelli, Maria Cristina Recchioni, Francesco Zirilli, 1999. "A hybrid method for pricing European options based on multiple assets with transaction costs," Applied Mathematical Finance, Taylor and Francis Journals, vol. 6(2), pages 61-85, June. [Downloadable!] (restricted)
  17. David Bakstein & Sam Howison, 2002. "A Risk-Neutral Parametric Liquidity Model for Derivatives," OFRC Working Papers Series 2002mf02, Oxford Financial Research Centre. [Downloadable!]
  18. Matos, Joao Amaro de & Antao, Paula, 2000. "Market Illiquidity and the Bid-Ask Spread of Derivatives," FEUNL Working Paper Series wp386, Universidade Nova de Lisboa, Faculdade de Economia. [Downloadable!]
  19. Alet Roux, 2007. "The fundamental theorem of asset pricing under proportional transaction costs," Quantitative Finance Papers 0710.2758, arXiv.org. [Downloadable!]
  20. João Amaro De Matos & Paula Antão, 2003. "Market illiquidity and bounds on European option prices," European Journal of Finance, Taylor and Francis Journals, vol. 9(5), pages 475-498, October. [Downloadable!] (restricted)
  21. John S. Ying & Joel S. Sternberg, 2005. "The Impact of Serial Correlation on Option Prices in a Non- Frictionless Environment: An Alternative Explanation for Volatility Skew," Working Papers 05-12, University of Delaware, Department of Economics. [Downloadable!]
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