Volatility has to be rough

@article{Fukasawa2020VolatilityHT,
  title={Volatility has to be rough},
  author={Masaaki Fukasawa},
  journal={Quantitative Finance},
  year={2020},
  volume={21},
  pages={1 - 8}
}
  • M. Fukasawa
  • Published 21 February 2020
  • Economics
  • Quantitative Finance
Under power-law blow-up of the short ATM skew, volatility must be rough in a viable market for the underlying asset 

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