The Fourier Cosine Method for Discrete Probability Distributions
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- Junike, Gero & Pankrashkin, Konstantin, 2022. "Precise option pricing by the COS method—How to choose the truncation range," Applied Mathematics and Computation, Elsevier, vol. 421(C).
- Eduardo Abi Jaber, 2019. "Lifting the Heston model," Quantitative Finance, Taylor & Francis Journals, vol. 19(12), pages 1995-2013, December.
- Kang, Boda & Shen, Yang & Zhu, Dan & Ziveyi, Jonathan, 2022. "Valuation of guaranteed minimum maturity benefits under generalised regime-switching models using the Fourier Cosine method," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 96-127.
- Gero Junike & Konstantin Pankrashkin, 2021. "Precise option pricing by the COS method--How to choose the truncation range," Papers 2109.01030, arXiv.org, revised Jan 2022.
- Gero Junike, 2023. "On the number of terms in the COS method for European option pricing," Papers 2303.16012, arXiv.org, revised Mar 2024.
- Torben G. Andersen & Nicola Fusari & Viktor Todorov, 2017.
"Short-Term Market Risks Implied by Weekly Options,"
Journal of Finance, American Finance Association, vol. 72(3), pages 1335-1386, June.
- Torben G. Andersen & Nicola Fusari & Viktor Todorov, 2018. "Short-Term Market Risks Implied by Weekly Options," CREATES Research Papers 2018-08, Department of Economics and Business Economics, Aarhus University.
- Biscarri, William & Zhao, Sihai Dave & Brunner, Robert J., 2018. "A simple and fast method for computing the Poisson binomial distribution function," Computational Statistics & Data Analysis, Elsevier, vol. 122(C), pages 92-100.
- Hong, Yili, 2013. "On computing the distribution function for the Poisson binomial distribution," Computational Statistics & Data Analysis, Elsevier, vol. 59(C), pages 41-51.
- Shuaiqiang Liu & Cornelis W. Oosterlee & Sander M. Bohte, 2019.
"Pricing Options and Computing Implied Volatilities using Neural Networks,"
Risks, MDPI, vol. 7(1), pages 1-22, February.
- Shuaiqiang Liu & Cornelis W. Oosterlee & Sander M. Bohte, 2019. "Pricing options and computing implied volatilities using neural networks," Papers 1901.08943, arXiv.org, revised Apr 2019.
- Eduardo Abi Jaber, 2018. "Lifting the Heston model," Papers 1810.04868, arXiv.org, revised Nov 2019.
- Eduardo Abi Jaber & Nathan De Carvalho, 2023. "Reconciling rough volatility with jumps," Papers 2303.07222, arXiv.org, revised Sep 2024.
- Eduardo Abi Jaber & Nathan de Carvalho, 2024. "Reconciling rough volatility with jumps," Post-Print hal-04295416, HAL.
- Marjon Ruijter & Kees Oosterlee, 2012. "Two-dimensional Fourier cosine series expansion method for pricing financial options," CPB Discussion Paper 225, CPB Netherlands Bureau for Economic Policy Analysis.
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This paper has been announced in the following NEP Reports:- NEP-DCM-2024-10-28 (Discrete Choice Models)
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