Option Pricing and Replication with Transaction Costs and Dividends

Stylianos Perrakis () and Jean Lefoll
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Jean Lefoll: University of Geneva

FAME Research Paper Series from International Center for Financial Asset Management and Engineering

Abstract: This paper derives optimal perfect hedging portfolios in the presence of transaction costs within the binomial model of stock returns, for a market maker that establishes bid and ask prices for American call options on stocks paying dividends prior to expiration. It is shown that, while the option holder's optimal exercise policy at the ex-dividend date varies according to the stock price, there are intervals of values for such a price where the optimal policy would depend on the holder's preferences. Nonetheless, the perfect hedging assumption still allows the derivation of optimal hedging portfolios for both long and short positions of a market maker on the option.

Keywords: Pricing; Transaction costs; American options; Dividends (search for similar items in EconPapers)
JEL-codes: G3 (search for similar items in EconPapers)
Date: 1999-07
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Citations: View citations in EconPapers (1)

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Journal Article: Option pricing and replication with transaction costs and dividends (2000)
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