A counter-example to an option pricing formula under transaction costs

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JournalFinance and Stochastics
DatePublished - 2006
Issue number4
Volume10
Number of pages3
Pages (from-to)575-578
Original languageEnglish

Abstract

In the paper by Melnikov and Petrachenko (Finance Stoch. 9: 141–149, 2005), a procedure is put forward for pricing and replicating an arbitrary European contingent claim in the binomial model with bid-ask spreads. We present a counter-example to show that the option pricing formula stated in that paper can in fact lead to arbitrage. This is related to the fact that under transaction costs a superreplicating strategy may be less expensive to set up than a strictly replicating one.

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