English

Hedging in fractional Black-Scholes model with transaction costs

Pricing of Securities 2017-09-20 v2 Statistics Theory Statistics Theory

Abstract

We consider conditional-mean hedging in a fractional Black-Scholes pricing model in the presence of proportional transaction costs. We develop an explicit formula for the conditional-mean hedging portfolio in terms of the recently discovered explicit conditional law of the fractional Brownian motion.

Keywords

Cite

@article{arxiv.1706.01534,
  title  = {Hedging in fractional Black-Scholes model with transaction costs},
  author = {Foad Shokrollahi and Tommi Sottinen},
  journal= {arXiv preprint arXiv:1706.01534},
  year   = {2017}
}