English

Forward start volatility swaps in rough volatility models

Mathematical Finance 2022-07-22 v1

Abstract

This paper shows the relationship between the forward start volatility swap price and the forward start zero vanna implied volatility of forward start options in rough volatility models. It is shown that in the short time-to-maturity limit the approximation error in the leading term of the correlated case with H(0,12)H\in(0,\frac12) does not depend on the time to forward start date, but only on the difference between the maturity date and forward start date and on the Hurst parameter HH.

Cite

@article{arxiv.2207.10370,
  title  = {Forward start volatility swaps in rough volatility models},
  author = {Elisa Alòs and Frido Rolloos and Kenichiro Shiraya},
  journal= {arXiv preprint arXiv:2207.10370},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:1912.05383

R2 v1 2026-06-25T01:06:35.837Z