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Option Pricing for Pure Jump Processes with Markov Switching Compensators

Robert J. Elliott () and Carlton-James U. Osakwe ()
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Robert J. Elliott: University of Calgary
Carlton-James U. Osakwe: University of Calgary

Finance and Stochastics, 2006, vol. 10, issue 2, No 5, 250-275

Abstract: Abstract This paper proposes a model for asset prices which is the exponential of a pure jump process with an N-state Markov switching compensator. We argue that such a process has a good chance of capturing all the empirical stylized regularities of stock price dynamics and we provide a closed form representation of its characteristic function. We also provide a parsimonious representation of the (not necessarily unique) risk neutral density and show how to price and hedge a large class of options on assets whose prices follow this process.

Keywords: Jump process; Markov switching; Compensator; Characteristic function; European options; Hedging; 91B28; 60G10; 60G44; 60G51 (search for similar items in EconPapers)
JEL-codes: D52 G12 G13 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (33)

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DOI: 10.1007/s00780-006-0004-6

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