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OPTION PRICING FOR TRUNCATED LÉVY PROCESSES

Svetlana Boyarchenko and Sergei Z. Levendorskiǐ
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Sergei Z. Levendorskiǐ: Rostov State Academy of Economy, 69, B. Sadovaya, Rostov-on-Don, 344007, Russia

International Journal of Theoretical and Applied Finance (IJTAF), 2000, vol. 03, issue 03, 549-552

Abstract: A general class of truncated Lévy processes is introduced, and possible ways of fitting parameters of the constructed family of truncated Lévy processes to data are discussed. For a market of a riskless bond and a stock whose log-price follows a truncated Lévy process, TLP-analogs of the Black–Scholes equation, the Black–Scholes formula, the Dynkin derivative and the Leland's model are obtained, a locally risk-minimizing portfolio is constructed, and an optimal exercise price for a perpetual American put is computed.

Date: 2000
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DOI: 10.1142/S0219024900000541

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