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Properties of option prices in models with jumps
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.
2007 (English)In: Mathematical Finance, ISSN 0960-1627, E-ISSN 1467-9965, Vol. 17, no 3, 381-397 p.Article in journal (Refereed) Published
Abstract [en]

We study convexity and monotonicity properties of option prices in a model with jumps using the fact that these prices satisfy certain parabolic integro–differential equations. Conditions are provided under which preservation of convexity holds, i.e., under which the value, calculated under a chosen martingale measure, of an option with a convex contract function is convex as a function of the underlying stock price. The preservation of convexity is then used to derive monotonicity properties of the option value with respect to the different parameters of the model, such as the volatility, the jump size, and the jump intensity.

Place, publisher, year, edition, pages
2007. Vol. 17, no 3, 381-397 p.
Keyword [en]
preservation of convexity, partial integro–differential equations, jump–diffusions, price comparisons
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-22506DOI: 10.1111/j.1467-9965.2007.00308.xISI: 000247608600003OAI: oai:DiVA.org:uu-22506DiVA: diva2:50279
Available from: 2007-01-22 Created: 2007-01-22 Last updated: 2017-12-07Bibliographically approved

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Ekström, ErikTysk, Johan

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