no code implementations • 1 Feb 2024 • Takuji Arai, Yuto Imai
This paper aims to develop a supervised deep-learning scheme to compute call option prices for the Barndorff-Nielsen and Shephard model with a non-martingale asset price process having infinite active jumps.
no code implementations • 9 Jun 2023 • Takuji Arai, Yuto Imai
The Barndorff-Nielsen and Shephard model is a representative jump-type stochastic volatility model.
no code implementations • 22 Apr 2021 • Takuji Arai
For the Barndorff-Nielsen and Shephard model, we present approximate expressions of call option prices based on the decomposition formula developed by Arai (2021).
no code implementations • 15 May 2020 • Takuji Arai
The objective is to provide an Al\`os type decomposition formula of call option prices for the Barndorff-Nielsen and Shephard model: an Ornstein-Uhlenbeck type stochastic volatility model driven by a subordinator without drift.