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The Pricing of Derivatives in Illiquid Markets

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Author Info
David Bakstein
Abstract

This paper develops a parametric model for liquidity effects due to trading. The liquidity parameterisation is defined to consist of a transaction cost effect and a price slippage effect, the latter felt by all participants in the market. The model is based on the CRR binomial trees and is applied to the pricing and hedging of options. It can be used to derive natural bid-ask spreads for an option given the liquidity in the underlying. The paper also mentions further applications to portfolio trading, liquidity options and strike detection.

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Paper provided by Oxford Financial Research Centre in its series OFRC Working Papers Series with number 2001mf05.

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Date of creation: 2001
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Handle: RePEc:sbs:wpsefe:2001mf05

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Web page: http://www.finance.ox.ac.uk
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  1. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September. [Downloadable!] (restricted)
  2. Lo, Andrew W & Wang, Jiang, 1995. " Implementing Option Pricing Models When Asset Returns Are Predictable," Journal of Finance, American Finance Association, vol. 50(1), pages 87-129, March. [Downloadable!] (restricted)
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  3. Frey, RĂ¼diger & Alexander Stremme, 1995. "Market Volatility and Feedback Effects from Dynamic Hedging," Discussion Paper Serie B 310, University of Bonn, Germany. [Downloadable!]
  4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
  5. Boyle, Phelim P & Vorst, Ton, 1992. " Option Replication in Discrete Time with Transaction Costs," Journal of Finance, American Finance Association, vol. 47(1), pages 271-93, March. [Downloadable!] (restricted)
  6. Longstaff, Francis A, 1995. "Option Pricing and the Martingale Restriction," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 8(4), pages 1091-1124. [Downloadable!] (restricted)
  7. Werner Stanzl & Gur Huberman, 2000. "Optimal Liquidity Trading," Yale School of Management Working Papers ysm165, Yale School of Management. [Downloadable!]
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  8. Frey, RĂ¼diger, 1996. "The Pricing and Hedging of Options in Finitely Elastic Markets," Discussion Paper Serie B 372, University of Bonn, Germany. [Downloadable!]
  9. Edirisinghe, Chanaka & Naik, Vasanttilak & Uppal, Raman, 1993. "Optimal Replication of Options with Transactions Costs and Trading Restrictions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(01), pages 117-138, March. [Downloadable!]
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