Some remarks on mean-variance hedging for discontinuous asset price processes

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Abstract

Mean-variance hedging for the discontinuous semimartingale case is obtained under some assumptions related to the variance-optimal martingale measure. In the present paper, two remarks on it are discussed. One is an extension of Hou-Karatzas' duality approach from the continuous case to discontinuous. Another is to prove that there is the consistency with the case where the mean-variance trade-off process is continuous and deterministic. In particular, one-dimensional jump diffusion models are discussed as simple examples.

Original languageEnglish
Pages (from-to)425-443
Number of pages19
JournalInternational Journal of Theoretical and Applied Finance
Volume8
Issue number4
DOIs
Publication statusPublished - 2005 Jun 1

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Keywords

  • Jump diffusion
  • Mean-variance hedging
  • Variance-optimal martingale measure

ASJC Scopus subject areas

  • Finance
  • Economics, Econometrics and Finance(all)

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