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Market illiquidity and bounds on European option prices

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Author Info
João Amaro De Matos
Paula Antão

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Abstract

The paper analyses the impact of illiquidity of a stock paying no dividends on the pricing of European options written on that stock. In particular, it is shown how illiquidity generates price bounds on an option on this stock, even in the absence of other imperfections, such as transaction costs and trading constraints, or the assumption of stochastic volatility. Moreover, price bounds are shown to be asymmetric with respect to the option price under perfect liquidity. This fact explains, under some conditions, the appearance of a smile effect when the implied volatility is estimated from the mid-quote.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal The European Journal of Finance.

Volume (Year): 9 (2003)
Issue (Month): 5 (October)
Pages: 475-498
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Handle: RePEc:taf:eurjfi:v:9:y:2003:i:5:p:475-498

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Related research
Keywords: Illiquidity; Stock; Dividends; European Options; Price Bounds; Smile Effect;

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References listed on IDEAS
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  1. Bossaerts, Peter & Hillion, Pierre, 1997. "Local parametric analysis of hedging in discrete time," Journal of Econometrics, Elsevier, vol. 81(1), pages 243-272, November. [Downloadable!] (restricted)
    Other versions:
  2. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December. [Downloadable!] (restricted)
  3. Young-Hye Cho & Robert F. Engle, 1999. "Modeling the Impacts of Market Activity on Bid-Ask Spreads in the Option Market," University of California at San Diego, Economics Working Paper Series 99-05, Department of Economics, UC San Diego. [Downloadable!]
    Other versions:
  4. 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!]
  5. 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)
  6. Hull, John C & White, Alan D, 1987. " The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June. [Downloadable!] (restricted)
  7. 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)
  8. 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)
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