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Simultaneous Calibration of European Option Volatility and Fractional Order under the Time Fractional Vasicek Model.
- Source :
-
Algorithms . Feb2024, Vol. 17 Issue 2, p54. 14p. - Publication Year :
- 2024
-
Abstract
- In this paper, we recover the European option volatility function σ (t) of the underlying asset and the fractional order α of the time fractional derivatives under the time fractional Vasicek model. To address the ill-posed nature of the inverse problem, we employ Tikhonov regularization. The Alternating Direction Multiplier Method (ADMM) is utilized for the simultaneous recovery of the parameter α and the volatility function σ (t) . In addition, the existence of a solution to the minimization problem has been demonstrated. Finally, the effectiveness of the proposed approach is verified through numerical simulation and empirical analysis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TIKHONOV regularization
*INVERSE problems
*COMPUTER simulation
*CALIBRATION
Subjects
Details
- Language :
- English
- ISSN :
- 19994893
- Volume :
- 17
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 175650291
- Full Text :
- https://doi.org/10.3390/a17020054