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Risk-minimizing hedging strategies under restricted information: The case of stochastic volatility models observable only at discrete random times

  • Rüdiger Frey*
  • , Wolfgang J. Runggaldier
  • *Corresponding author for this work

Publication: Scientific journalJournal articlepeer-review

Abstract

We consider a market where the price of the risky asset follows a stochastic volatility model, but can be observed only at discrete random time points. We determine a local risk minimizing hedging strategy, assuming that the information of the agent is restricted to the observations of the price at its random jump times. Stochastic filtering also comes into play when computing the hedging strategy in the given situation of restricted information.

Original languageEnglish
Pages (from-to)339-350
Number of pages12
JournalMathematical Methods of Operations Research
Volume50
Issue number2
DOIs
Publication statusPublished - Oct 1999
Externally publishedYes

Keywords

  • Discontinuous prices
  • Hedging under restricted information
  • Marked point processes
  • Risk minimizing hedging strategies
  • Stochastic filtering
  • Stochastic volatility

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