Search Results for author: Takuji Arai

Found 4 papers, 0 papers with code

Option pricing for Barndorff-Nielsen and Shephard model by supervised deep learning

no code implementations1 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.

Monte Carlo simulation for Barndorff-Nielsen and Shephard model under change of measure

no code implementations9 Jun 2023 Takuji Arai, Yuto Imai

The Barndorff-Nielsen and Shephard model is a representative jump-type stochastic volatility model.

Approximate option pricing formula for Barndorff-Nielsen and Shephard model

no code implementations22 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).

Alòs type decomposition formula for Barndorff-Nielsen and Shephard model

no code implementations15 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.

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