American Options in the Volterra Heston Model
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Publication:5080128
DOI10.1137/21M140674XzbMath1491.91140arXiv2103.11734OpenAlexW3138189471MaRDI QIDQ5080128
Elizabeth Zúñiga, Sergio Pulido, Etienne Chevalier
Publication date: 31 May 2022
Published in: SIAM Journal on Financial Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.11734
Fourier-Laplace transformAmerican optionsrough volatilityRiccati-Volterra equationsVolterra Heston modelforward variance
Stopping times; optimal stopping problems; gambling theory (60G40) Derivative securities (option pricing, hedging, etc.) (91G20) Laplace transform (44A10)
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Cites Work
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- Rough fractional diffusions as scaling limits of nearly unstable heavy tailed Hawkes processes
- Affine fractional stochastic volatility models
- Fractional Brownian motion and the Markov property
- Perfect hedging in rough Heston models
- The microstructural foundations of leverage effect and rough volatility
- Affine forward variance models
- Generalized Feller processes and Markovian lifts of stochastic Volterra processes: the affine case
- Mean-variance portfolio selection under Volterra Heston model
- A weak solution theory for stochastic Volterra equations of convolution type
- Neural network regression for Bermudan option pricing
- Linear-quadratic control for a class of stochastic Volterra equations: solvability and approximation
- Affine Volterra processes
- Markovian structure of the Volterra Heston model
- Affine representations of fractional processes with applications in mathematical finance
- On the short-time behavior of the implied volatility for jump-diffusion models with stochastic volatility
- Asymptotic Behavior of the Fractional Heston Model
- Volatility is rough
- Short-time at-the-money skew and rough fractional volatility
- Pricing American options by exercise rate optimization
- Markowitz Portfolio Selection for Multivariate Affine and Quadratic Volterra Models
- Machine learning for pricing American options in high-dimensional Markovian and non-Markovian models
- Fast Hybrid Schemes for Fractional Riccati Equations (Rough Is Not So Tough)
- Pricing under rough volatility
- Pricing Options under Rough Volatility with Backward SPDEs
- Lifting the Heston model
- Hierarchical adaptive sparse grids and quasi-Monte Carlo for option pricing under the rough Bergomi model
- Multifactor Approximation of Rough Volatility Models
- Optimal portfolio under fractional stochastic environment
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- Valuing American Options by Simulation: A Simple Least-Squares Approach
- Deep optimal stopping
- The characteristic function of rough Heston models
- Approximation of some processes
- Hybrid scheme for Brownian semistationary processes