Reconstructing Volatility: Pricing of Index Options under Rough Volatility

Abstract

In previous works Avellaneda et al. pioneered the pricing and hedging of index options - products highly sensitive to implied volatility and correlation assumptions - with large deviations methods, assuming local volatility dynamics for all components of the index. We here present an extension applicable to non-Markovian dynamics and in particular the case of rough volatility dynamics.

arXiv comment22 pages, This version to appear in Mathematical Finance