Variational Analysis for Options with Stochastic Volatility and Multiple Factors
From MaRDI portal
Publication:4579831
DOI10.1137/17M1130836zbMath1397.35118MaRDI QIDQ4579831
Axel Kröner, Joseph Frédéric Bonnans
Publication date: 10 August 2018
Published in: SIAM Journal on Financial Mathematics (Search for Journal in Brave)
optionsvariational formulationpartial differential equationsfinanceparabolic variational inequalities
Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Initial-boundary value problems for second-order parabolic equations (35K20) Financial applications of other theories (91G80) Derivative securities (option pricing, hedging, etc.) (91G20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Correlations and bounds for stochastic volatility models
- Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations
- Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations
- Equivalence de deux inéquations variationnelles et applications
- Problèmes unilateraux
- A Theory of the Term Structure of Interest Rates
- The Shape and Term Structure of the Index Option Smirk: Why Multifactor Stochastic Volatility Models Work So Well
- Partial Differential Equations for Option Pricing
- Variational Analysis for the Black and Scholes Equation with Stochastic Volatility
- A partial differential equation connected to option pricing with stochastic volatility: Regularity results and discretization
- Computational Methods for Option Pricing
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options