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Approximate Pricing of Derivatives Under Fractional Stochastic Volatility Model

Pricing of Securities 2022-10-28 v1 Probability

Abstract

We investigate the problem of pricing derivatives under a fractional stochastic volatility model. We obtain an approximate expression of the derivative price where the stochastic volatility can be composed of deterministic functions of time and fractional Ornstein-Uhlenbeck process. Numerical simulations are given to illustrate the feasibility and operability of the approximation, and also demonstrate the effect of long-range on derivative prices.

Keywords

Cite

@article{arxiv.2210.15453,
  title  = {Approximate Pricing of Derivatives Under Fractional Stochastic Volatility Model},
  author = {Yuecai Han and Xudong Zheng},
  journal= {arXiv preprint arXiv:2210.15453},
  year   = {2022}
}