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Market illiquidity and bounds on European option prices

Author

Listed:
  • Joao Amaro De Matos
  • Paula Antao

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.

Suggested Citation

  • Joao Amaro De Matos & Paula Antao, 2003. "Market illiquidity and bounds on European option prices," The European Journal of Finance, Taylor & Francis Journals, vol. 9(5), pages 475-498.
  • Handle: RePEc:taf:eurjfi:v:9:y:2003:i:5:p:475-498
    DOI: 10.1080/1351847032000087777
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    References listed on IDEAS

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    1. 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(1), pages 117-138, March.
    2. Young-Hye Cho & Robert F. Engle, 1999. "Modeling the Impacts of Market Activity on Bid-Ask Spreads in the Option Market," NBER Working Papers 7331, National Bureau of Economic Research, Inc.
    3. Lippman, Steven A & McCall, John J, 1986. "An Operational Measure of Liquidity," American Economic Review, American Economic Association, vol. 76(1), pages 43-55, March.
    4. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
    5. Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short‐Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232, July.
    6. Bossaerts, Peter & Hillion, Pierre, 1997. "Local parametric analysis of hedging in discrete time," Journal of Econometrics, Elsevier, vol. 81(1), pages 243-272, November.
    7. Harrison Hong & Jiang Wang, 2000. "Trading and Returns under Periodic Market Closures," Journal of Finance, American Finance Association, vol. 55(1), pages 297-354, February.
    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 271-293, March.
    9. 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 637-654, May-June.
    10. repec:dau:papers:123456789/5647 is not listed on IDEAS
    11. 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.
    12. 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.
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