Calibrating local volatility in inverse option pricing using the Levenberg–Marquardt method
DOI10.1515/jiip.2010.023zbMath1279.91161OpenAlexW2018523891MaRDI QIDQ2874459
Mohamed Majdi Lakhal, Alfred K. Louis, Aref Lakhal
Publication date: 30 January 2014
Published in: jiip (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.2010.023
Numerical methods (including Monte Carlo methods) (91G60) Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Inverse problems for PDEs (35R30) Derivative securities (option pricing, hedging, etc.) (91G20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Related Items (2)
Cites Work
- The Pricing of Options and Corporate Liabilities
- On the regularization of projection methods for solving ill-posed problems
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- Iteration methods for convexly constrained ill-posed problems in hilbert space
- Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets
- Some Newton-type methods for the regularization of nonlinear ill-posed problems
- Calibration of the Local Volatility in a Generalized Black--Scholes Model Using Tikhonov Regularization
- On the nature of ill-posedness of an inverse problem arising in option pricing
- Calibration of the local volatility in a trinomial tree using Tikhonov regularization
- A Second Degree Method for Nonlinear Inverse Problems
- Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates
- On decoupling of volatility smile and term structure in inverse option pricing
- Inexact Newton Regularization Using Conjugate Gradients as Inner Iteration
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