Recovery of the time-dependent implied volatility of time fractional Black-Scholes equation using linearization technique
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Publication:2048231
DOI10.1515/jiip-2020-0105zbMath1470.35432OpenAlexW3123407107MaRDI QIDQ2048231
Publication date: 5 August 2021
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2020-0105
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Fractional partial differential equations (35R11)
Uses Software
Cites Work
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- The Pricing of Options and Corporate Liabilities
- Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio
- Reconstruction of the time-dependent volatility function using the Black-Scholes model
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Analytically pricing double barrier options based on a time-fractional Black-Scholes equation
- Recovery of time dependent volatility coefficient by linearization
- An inverse problem of determining the implied volatility in option pricing
- Recovery of time-dependent volatility in option pricing model
- Recovery of volatility coefficient by linearization
- A new well-posed algorithm to recover implied local volatility
- On Maximum Entropy Regularization for a Specific Inverse Problem of Option Pricing
- On implied volatility recovery of a time-fractional Black-Scholes equation for double barrier options
- The tangential cone condition for the iterative calibration of local volatility surfaces
- A tutorial on inverse problems for anomalous diffusion processes
- On decoupling of volatility smile and term structure in inverse option pricing
- Use of the regularization method in non-linear problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach