The Time-Discrete Method of Lines for Options and Bonds:A PDE Approach
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Cited by:
- Len Patrick Dominic M. Garces & Gerald H. L. Cheang, 2021. "A numerical approach to pricing exchange options under stochastic volatility and jump-diffusion dynamics," Quantitative Finance, Taylor & Francis Journals, vol. 21(12), pages 2025-2054, December.
- Blessing Taruvinga & Boda Kang & Christina Sklibosios Nikitopoulos, 2018. "Pricing American Options with Jumps in Asset and Volatility," Research Paper Series 394, Quantitative Finance Research Centre, University of Technology, Sydney.
- Len Patrick Dominic M. Garces & Gerald H. L. Cheang, 2021. "A Numerical Approach to Pricing Exchange Options under Stochastic Volatility and Jump-Diffusion Dynamics," Papers 2106.07362, arXiv.org.
- Kang, Boda & Ziveyi, Jonathan, 2018. "Optimal surrender of guaranteed minimum maturity benefits under stochastic volatility and interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 79(C), pages 43-56.
- Shi, Lei & Ullah, Malik Zaka & Nashine, Hemant Kumar, 2024. "On the construction of a quartically convergent method for high-dimensional Black-Scholes time-dependent PDE," Applied Mathematics and Computation, Elsevier, vol. 463(C).
- Boda Kang & Christina Nikitopoulos Sklibosios & Erik Schlogl & Blessing Taruvinga, 2019. "The Impact of Jumps on American Option Pricing: The S&P 100 Options Case," Research Paper Series 397, Quantitative Finance Research Centre, University of Technology, Sydney.
- Carl Chiarella & Christina Nikitopoulos-Sklibosios & Erik Schlogl & Hongang Yang, 2016. "Pricing American Options under Regime Switching Using Method of Lines," Research Paper Series 368, Quantitative Finance Research Centre, University of Technology, Sydney.
- Gholamreza Farahmand & Taher Lotfi & Malik Zaka Ullah & Stanford Shateyi, 2023. "Finding an Efficient Computational Solution for the Bates Partial Integro-Differential Equation Utilizing the RBF-FD Scheme," Mathematics, MDPI, vol. 11(5), pages 1-13, February.
- Tao Liu & Malik Zaka Ullah & Stanford Shateyi & Chao Liu & Yanxiong Yang, 2023. "An Efficient Localized RBF-FD Method to Simulate the Heston–Hull–White PDE in Finance," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
Book Chapters
The following chapters of this book are listed in IDEAS- Gunter H. Meyer, 2015. "Comments on the Pricing Equations in Finance," World Scientific Book Chapters, in: THE TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS A PDE Approach, chapter 1, pages 1-56, World Scientific Publishing Co. Pte. Ltd..
- Gunter H. Meyer, 2015. "The Method of Lines (MOL) for the Diffusion Equation," World Scientific Book Chapters, in: THE TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS A PDE Approach, chapter 2, pages 57-74, World Scientific Publishing Co. Pte. Ltd..
- Gunter H. Meyer, 2015. "The Riccati Transformation Method for Linear Two Point Boundary Value Problems," World Scientific Book Chapters, in: THE TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS A PDE Approach, chapter 3, pages 75-92, World Scientific Publishing Co. Pte. Ltd..
- Gunter H. Meyer, 2015. "European Options," World Scientific Book Chapters, in: THE TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS A PDE Approach, chapter 4, pages 93-115, World Scientific Publishing Co. Pte. Ltd..
- Gunter H. Meyer, 2015. "American Puts and Calls," World Scientific Book Chapters, in: THE TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS A PDE Approach, chapter 5, pages 117-151, World Scientific Publishing Co. Pte. Ltd..
- Gunter H. Meyer, 2015. "Bonds and Options for One-Factor Interest Rate Models," World Scientific Book Chapters, in: THE TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS A PDE Approach, chapter 6, pages 153-179, World Scientific Publishing Co. Pte. Ltd..
- Gunter H. Meyer, 2015. "Two-Dimensional Diffusion Problems in Finance," World Scientific Book Chapters, in: THE TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS A PDE Approach, chapter 7, pages 181-259, World Scientific Publishing Co. Pte. Ltd..
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Keywords
Options; Bonds; PDE Formulation; Numerical Solution; Method of Lines; Stochastic Volatility; Jump Diffusion; Uncertain Parameters;All these keywords.
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