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Option pricing and replication with transaction costs and dividends

✍ Scribed by Stylianos Perrakis; Jean Lefoll

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
325 KB
Volume
24
Category
Article
ISSN
0165-1889

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✦ Synopsis

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.

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