A Gamma Ornstein-Uhlenbeck model driven by a Hawkes process
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Publication:2230761
DOI10.1007/s11579-021-00295-0zbMath1471.91560OpenAlexW3138447687MaRDI QIDQ2230761
Carlo Sgarra, Guillaume Bernis, Riccardo Brignone, Simone Scotti
Publication date: 28 September 2021
Published in: Mathematics and Financial Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11579-021-00295-0
stochastic volatilityleverage effectHawkes processesVIXexponential affine processesimplied volatility for VIX optionsjump clusters
Diffusion processes (60J60) Derivative securities (option pricing, hedging, etc.) (91G20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
- Unnamed Item
- A Novel Pricing Method for European Options Based on Fourier-Cosine Series Expansions
- A Jump-Diffusion Model for Option Pricing
- Stochastic equations, flows and measure-valued processes
- Stochastic volatility and stochastic leverage
- Exact simulation of Hawkes process with exponentially decaying intensity
- Catalytic discrete state branching models and related limit theorems
- The cumulant process and Esscher's change of measure
- Sensitivity analysis for marked Hawkes processes: application to CLO pricing
- Optimal investment in markets with over and under-reaction to information
- The microstructural foundations of leverage effect and rough volatility
- Exact simulation of the Ornstein-Uhlenbeck driven stochastic volatility model
- Asian options pricing in Hawkes-type jump-diffusion models
- Exponentially affine martingales, affine measure changes and exponential moments of affine processes
- Affine Volterra processes
- Alpha-CIR model with branching processes in sovereign interest rate modeling
- On the Esscher transforms and other equivalent martingale measures for Barndorff-Nielsen and Shephard stochastic volatility models with jumps
- Moment explosions in stochastic volatility models
- Skew convolution semigroups and affine Markov processes
- Contingent Claims and Market Completeness in a Stochastic Volatility Model
- Non-Gaussian Ornstein–Uhlenbeck-based Models and Some of Their Uses in Financial Economics
- Modeling the Variance Risk Premium of Equity Indices: The Role of Dependence and Contagion
- A Theory of the Term Structure of Interest Rates
- Modelling Bid and Ask Prices Using Constrained Hawkes Processes: Ergodicity and Scaling Limit
- The Impact of Jump Distributions on the Implied Volatility of Variance
- Affine Point Processes and Portfolio Credit Risk
- Measure-Valued Branching Markov Processes
- MOMENT EXPLOSIONS AND LONG-TERM BEHAVIOR OF AFFINE STOCHASTIC VOLATILITY MODELS
- PRICING OPTIONS ON VARIANCE IN AFFINE STOCHASTIC VOLATILITY MODELS
- STATISTICS OF VIX FUTURES AND APPLICATIONS TO TRADING VOLATILITY EXCHANGE-TRADED PRODUCTS
- Exact Simulation of Stochastic Volatility and Other Affine Jump Diffusion Processes
- Long-Time Behavior of a Hawkes Process--Based Limit Order Book
- Transform Analysis and Asset Pricing for Affine Jump-diffusions
- A model for interest rates with clustering effects
- Option Pricing in Stochastic Volatility Models of the Ornstein‐Uhlenbeck type
- Option Pricing in Multivariate Stochastic Volatility Models of OU Type
- Stochastic Volatility With an Ornstein–Uhlenbeck Process: An Extension
- Pricing under rough volatility
- A Scaling Limit for Limit Order Books Driven by Hawkes Processes
- Exact Simulation of the SABR Model
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- Pricing Interest-Rate-Derivative Securities
- Spectra of some self-exciting and mutually exciting point processes
- The characteristic function of rough Heston models