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Realised Volatility Moments Implied by Asset Options

Author

Listed:
  • Frido Rolloos

    (Independent)

  • Kenichiro Shiraya

    (University of Tokyo - Graduate School of Economics)

Abstract

For small values of correlation a method is given to de-correlate the instantaneous volatility from the price process in stochastic volatility models. The result of the de-correlation is that the implied volatility skew is rotated into a smile. Once the implied volatility skew has been ``symmetrised", moments of realised volatility are implied from the symmetrised asset option prices. The implied moments are subsequently used in a Gram-Charlier expansion of the density of realised volatility. The Gram-Charlier density provides approximate prices for options on realised volatility and other volatility derivatives. This paper is available at https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4840162

Suggested Citation

  • Frido Rolloos & Kenichiro Shiraya, 2024. "Realised Volatility Moments Implied by Asset Options," CARF F-Series CARF-F-586, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  • Handle: RePEc:cfi:fseres:cf586
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