On Ito's formula for semimartingales with jumps and non-<i>C</i><SUP>2</SUP> functions



Eisenberg, Julia and Kruehner, Paul
(2022) On Ito's formula for semimartingales with jumps and non-<i>C</i><SUP>2</SUP> functions. STATISTICS & PROBABILITY LETTERS, 184. p. 109369.

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Abstract

This paper considers a variant of Itô’s formula for discontinuous semimartingales and non-C2 functions. This result is particularly helpful for insurance control problems with Markov-modulated components. An example of a dividend barrier strategy for a Brownian risk model with Markov-switching illustrates the result.

Item Type: Article
Uncontrolled Keywords: Jump semimartingales, Itos formula, Non-C-2 functions
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 12 May 2022 14:22
Last Modified: 19 Oct 2023 09:33
DOI: 10.1016/j.spl.2022.109369
Open Access URL: https://www.sciencedirect.com/science/article/pii/...
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3154672