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Super-replicating Bounds on European Option Prices when the Underlying Asset is Illiquid

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Author Info
João Amaro de Matos () (School of Economics, Universidade Nova de Lisboa)
Paula Antão () (School of Economics, Universidade Nova de Lisboa)

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Abstract

We derive super-replicating bounds on European option prices when the underlying asset is illiquid. Illiquidity is taken as the impossibility of transacting the underlying asset at some points in time, generating market incompleteness. We conclude that option price bounds follow a Black-Scholes partial differential equation where the volatility term is adjusted to reflect different levels of illiquidity.

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Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 7 (2001)
Issue (Month): 1 ()
Pages: 1-7
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Handle: RePEc:ebl:ecbull:eb-01g10003

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G1 - Financial Economics - - General Financial Markets
G0 - Financial Economics - - General

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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. John H. Cochrane & Jesus Saa-Requejo, 1996. "Beyond Arbitrage: "Good-Deal" Asset Price Bounds in Incomplete Markets," NBER Working Papers 5489, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. 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. [Downloadable!] (restricted)
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  4. (*), Thaleia Zariphopoulou & George M. Constantinides, 1999. "Bounds on prices of contingent claims in an intertemporal economy with proportional transaction costs and general preferences," Finance and Stochastics, Springer, vol. 3(3), pages 345-369. [Downloadable!] (restricted)
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  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, 2001. "Optimal Portfolio Choice and the Valuation of Illiquid Securities," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 14(2), pages 407-31.
  7. Leland, Hayne E, 1985. " Option Pricing and Replication with Transactions Costs," Journal of Finance, American Finance Association, vol. 40(5), pages 1283-1301, December. [Downloadable!] (restricted)
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  1. Matos, Joao Amaro de & Lacerda, Ana, 2004. "Dry Markets and Superreplication Bounds of American Derivatives," FEUNL Working Paper Series wp461, Universidade Nova de Lisboa, Faculdade de Economia. [Downloadable!]
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