Singular risk-neutral valuation equations
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Publication:1761441
DOI10.1007/s00780-011-0166-8zbMath1256.35175OpenAlexW1995074597MaRDI QIDQ1761441
Marco Papi, Fernanda D'ippoliti, Cristina Costantini
Publication date: 15 November 2012
Published in: Finance and Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00780-011-0166-8
stochastic volatilityviscosity solutionsAsian optionsjump-diffusiondegenerate integro-differential equations
PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
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- On Cox processes and credit risky securities
- Free boundary and optimal stopping problems for American Asian options
- Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form
- The Black-Scholes equation in stochastic volatility models
- Obstacle problem for arithmetic Asian options
- On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition
- Affine processes and applications in finance
- Continuous dependence estimates for viscosity solutions of integro-PDEs
- Viscosity solutions of nonlinear integro-differential equations
- A ``maximum principle for semicontinuous functions applicable to integro-partial differential equations
- Existence, uniqueness and regularity for nonlinear parabolic equations with nonlocal terms
- Uniqueness and comparison properties of the viscosity solution to some singular HJB equations
- Numerical Methods for Viscosity Solutions and Applications
- On the complete model with stochastic volatility by Hobson and Rogers
- User’s guide to viscosity solutions of second order partial differential equations
- Complete Models with Stochastic Volatility
- Transform Analysis and Asset Pricing for Affine Jump-diffusions
- SOME RESULTS ON PARTIAL DIFFERENTIAL EQUATIONS AND ASIAN OPTIONS
- The value of an Asian option
- FEYNMAN–KAC FORMULAS FOR BLACK–SCHOLES-TYPE OPERATORS
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations