A partial rough path space for rough volatility
From MaRDI portal
Publication:6126968
DOI10.1214/24-ejp1080arXiv2205.09958OpenAlexW4391777327MaRDI QIDQ6126968
Ryoji Takano, Masaaki Fukasawa
Publication date: 10 April 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.09958
Fractional processes, including fractional Brownian motion (60G22) Applications of stochastic analysis (to PDEs, etc.) (60H30) Large deviations (60F10) Rough paths (60L20) Applications of rough analysis (60L90)
Cites Work
- Unnamed Item
- Unnamed Item
- Large deviations and asymptotic methods in finance
- Small-time asymptotics for Gaussian self-similar stochastic volatility models
- Ramification of rough paths
- A large deviation principle for stochastic integrals
- On rough differential equations
- Application of large deviation methods to the pricing of index options in finance.
- Controlling rough paths
- Large deviation analysis of the single server queue
- Large and moderate deviations for stochastic Volterra systems
- A rough SABR formula
- Precise asymptotics: robust stochastic volatility models
- Extreme-strike asymptotics for general Gaussian stochastic volatility models
- Approximations of the Brownian rough path with applications to stochastic analysis
- Asymptotics for Rough Stochastic Volatility Models
- Multidimensional Stochastic Processes as Rough Paths
- Large Deviation Principle for Volterra Type Fractional Stochastic Volatility Models
- Volatility is rough
- Pathwise large deviations for the rough Bergomi model
- Asymptotics and calibration of local volatility models
- Pricing under rough volatility
- Volatility has to be rough
- Pathwise large deviations for the rough Bergomi model: Corrigendum
- Short-time near-the-money skew in rough fractional volatility models
- Some Applications and Methods of Large Deviations in Finance and Insurance
- A regularity structure for rough volatility
- Weak approximations and VIX option price expansions in forward variance curve models
- Consistent estimation for fractional stochastic volatility model under high‐frequency asymptotics
- Small‐time, large‐time, and asymptotics for the Rough Heston model
- Wiener Spiral for Volatility Modeling
- On asymptotically arbitrage-free approximations of the implied volatility