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Analysis of Fourier Transform Valuation Formulas and Applications

Citations

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Cited by:

  1. St'ephane Goutte & Nadia Oudjane & Francesco Russo, 2013. "Variance optimal hedging for continuous time additive processes and applications," Papers 1302.1965, arXiv.org.
  2. Giorgia Callegaro & Lucio Fiorin & Martino Grasselli, 2019. "Quantization meets Fourier: a new technology for pricing options," Annals of Operations Research, Springer, vol. 282(1), pages 59-86, November.
  3. Alessandro Ramponi, 2012. "Fourier Transform Methods For Regime-Switching Jump-Diffusions And The Pricing Of Forward Starting Options," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1-26.
  4. Asai, Manabu & McAleer, Michael, 2015. "Leverage and feedback effects on multifactor Wishart stochastic volatility for option pricing," Journal of Econometrics, Elsevier, vol. 187(2), pages 436-446.
  5. Alessandro Gnoatto, 2017. "Coherent Foreign Exchange Market Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-29, February.
  6. Christian Bayer & Chiheb Ben Hammouda & Antonis Papapantoleon & Michael Samet & Ra'ul Tempone, 2024. "Quasi-Monte Carlo with Domain Transformation for Efficient Fourier Pricing of Multi-Asset Options," Papers 2403.02832, arXiv.org, revised Apr 2025.
  7. Martijn Pistorius & Johannes Stolte, 2012. "Fast computation of vanilla prices in time-changed models and implied volatilities using rational approximations," Papers 1203.6899, arXiv.org.
  8. Fontana, Claudio & Gnoatto, Alessandro & Szulda, Guillaume, 2023. "CBI-time-changed Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 163(C), pages 323-349.
  9. José Fajardo, 2018. "Barrier style contracts under Lévy processes once again," Annals of Finance, Springer, vol. 14(1), pages 93-103, February.
  10. Yannis G. Yatracos, 2013. "Option pricing, Bayes risks and Applications," Papers 1304.5156, arXiv.org.
  11. Holger Fink & Stefan Mittnik, 2021. "Quanto Pricing beyond Black–Scholes," JRFM, MDPI, vol. 14(3), pages 1-27, March.
  12. Federico De Olivera & Ernesto Mordecki, 2014. "Computing Greeks for L\'evy Models: The Fourier Transform Approach," Papers 1407.1343, arXiv.org.
  13. Kurt, Kevin & Frey, Rüdiger, 2022. "Markov-modulated affine processes," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 391-422.
  14. Mesias Alfeus & Erik Schlögl, 2019. "On Spread Option Pricing Using Two-Dimensional Fourier Transform," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-20, August.
  15. Rihito Sakurai & Koichi Miyamoto & Tsuyoshi Okubo, 2025. "Tensor train representations of Greeks for Fourier-based pricing of multi-asset options," Papers 2507.08482, arXiv.org.
  16. Glau, Kathrin & Wunderlich, Linus, 2022. "The deep parametric PDE method and applications to option pricing," Applied Mathematics and Computation, Elsevier, vol. 432(C).
  17. Antje Mahayni & Matthias Muck, 2017. "The benefit of life insurance contracts with capped index participation when stock prices are subject to jump risk," Review of Derivatives Research, Springer, vol. 20(3), pages 281-308, October.
  18. Mesias Alfeus & Erik Schlögl, 2018. "On Numerical Methods for Spread Options," Research Paper Series 388, Quantitative Finance Research Centre, University of Technology, Sydney.
  19. Zorana Grbac & Antonis Papapantoleon, 2012. "A tractable LIBOR model with default risk," Papers 1202.0587, arXiv.org, revised Oct 2012.
  20. Maximilian Gaß & Kathrin Glau & Mirco Mahlstedt & Maximilian Mair, 2018. "Chebyshev interpolation for parametric option pricing," Finance and Stochastics, Springer, vol. 22(3), pages 701-731, July.
  21. repec:uts:finphd:41 is not listed on IDEAS
  22. Rihito Sakurai & Haruto Takahashi & Koichi Miyamoto, 2024. "Learning parameter dependence for Fourier-based option pricing with tensor trains," Papers 2405.00701, arXiv.org, revised Apr 2025.
  23. Yannick Armenti & Stephane Crepey & Samuel Drapeau & Antonis Papapantoleon, 2015. "Multivariate Shortfall Risk Allocation and Systemic Risk," Papers 1507.05351, arXiv.org, revised Mar 2017.
  24. Kevin Kurt & Rudiger Frey, 2021. "Markov-Modulated Affine Processes," Papers 2106.16240, arXiv.org, revised Aug 2022.
  25. Stephane Crepey & Andrea Macrina & Tuyet Mai Nguyen & David Skovmand, 2015. "Rational Multi-Curve Models with Counterparty-Risk Valuation Adjustments," Papers 1502.07397, arXiv.org.
  26. Christian Bayer & Simon Breneis, 2023. "Weak Markovian Approximations of Rough Heston," Papers 2309.07023, arXiv.org.
  27. Eduardo Abi Jaber & Shaun Xiaoyuan Li & Xuyang Lin, 2025. "Fourier-Laplace transforms in polynomial Ornstein-Uhlenbeck volatility models," Post-Print hal-04567783, HAL.
  28. Flavio Angelini & Katia Colaneri & Stefano Herzel & Marco Nicolosi, 2021. "Implicit incentives for fund managers with partial information," Computational Management Science, Springer, vol. 18(4), pages 539-561, October.
  29. Eduardo Abi Jaber & Shaun & Li & Xuyang Lin, 2024. "Fourier-Laplace transforms in polynomial Ornstein-Uhlenbeck volatility models," Papers 2405.02170, arXiv.org.
  30. Fred Espen Benth & Hanna Zdanowicz, 2016. "Pricing And Hedging Of Energy Spread Options And Volatility Modulated Volterra Processes," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 1-22, February.
  31. Samuel Drapeau & Michael Kupper & Antonis Papapantoleon, 2012. "A Fourier Approach to the Computation of CV@R and Optimized Certainty Equivalents," Papers 1212.6732, arXiv.org, revised Dec 2013.
  32. Serena Della Corte & Laurens Van Mieghem & Antonis Papapantoleon & Jonas Papazoglou-Hennig, 2023. "Machine learning for option pricing: an empirical investigation of network architectures," Papers 2307.07657, arXiv.org, revised Jan 2026.
  33. Abdou Kélani & François Quittard-Pinon, 2017. "Pricing and Hedging Variable Annuities in a Lévy Market: A Risk Management Perspective," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(1), pages 209-238, March.
  34. Kathrin Glau & Linus Wunderlich, 2020. "The Deep Parametric PDE Method: Application to Option Pricing," Papers 2012.06211, arXiv.org.
  35. Hieber, Peter, 2017. "Cliquet-style return guarantees in a regime switching Lévy model," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 138-147.
  36. Robert Stelzer & Jovana Zaviv{s}in, 2014. "Derivative pricing under the possibility of long memory in the supOU stochastic volatility model," Papers 1404.1773, arXiv.org.
  37. F. Antonelli & A. Ramponi & S. Scarlatti, 2016. "Random Time Forward-Starting Options," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1-25, December.
  38. Emmanuil H. Georgoulis & Antonis Papapantoleon & Costas Smaragdakis, 2024. "A deep implicit-explicit minimizing movement method for option pricing in jump-diffusion models," Papers 2401.06740, arXiv.org, revised Mar 2025.
  39. Yannick Armenti & Stéphane Crépey & Samuel Drapeau & Antonis Papapantoleon, 2018. "Multivariate Shortfall Risk Allocation and Systemic Risk," Working Papers hal-01764398, HAL.
  40. Michael Schmutz & Thomas Zurcher, 2010. "Static replications with traffic light options," Papers 1011.4795, arXiv.org.
  41. Zorana Grbac & Antonis Papapantoleon & John Schoenmakers & David Skovmand, 2014. "Affine LIBOR models with multiple curves: theory, examples and calibration," Papers 1405.2450, arXiv.org, revised Aug 2015.
  42. Stefan Waldenberger, 2015. "The affine inflation market models," Papers 1503.04979, arXiv.org.
  43. Fred Espen Benth & Giulia Di Nunno & Asma Khedher & Maren Diane Schmeck, 2015. "Pricing of Spread Options on a Bivariate Jump Market and Stability to Model Risk," Applied Mathematical Finance, Taylor & Francis Journals, vol. 22(1), pages 28-62, March.
  44. Mesias Alfeus, 2019. "Stochastic Modelling of New Phenomena in Financial Markets," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2019, January-A.
  45. Michael Schmutz & Thomas Zürcher, 2014. "Static Hedging with Traffic Light Options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(7), pages 690-702, July.
  46. Alfeus, Mesias & Grasselli, Martino & Schlögl, Erik, 2020. "A consistent stochastic model of the term structure of interest rates for multiple tenors," Journal of Economic Dynamics and Control, Elsevier, vol. 114(C).
  47. Ernst Eberlein & Christoph Gerhart & Zorana Grbac, 2019. "Multiple curve Lévy forward price model allowing for negative interest rates," Post-Print hal-03898912, HAL.
  48. Ballotta, Laura & Eberlein, Ernst & Schmidt, Thorsten & Zeineddine, Raghid, 2021. "Fourier based methods for the management of complex life insurance products," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 320-341.
  49. Amici, Giovanni & Ballotta, Laura & Semeraro, Patrizia, 2025. "Multivariate additive subordination with applications in finance," European Journal of Operational Research, Elsevier, vol. 321(3), pages 1004-1020.
  50. Jian He & Sven Karbach & Asma Khedher, 2025. "Pricing Options on Forwards in Function-Valued Affine Stochastic Volatility Models," Papers 2508.14813, arXiv.org.
  51. Belomestny, Denis & Iosipoi, Leonid, 2021. "Fourier transform MCMC, heavy-tailed distributions, and geometric ergodicity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 351-363.
  52. Christian Bayer & John Schoenmakers, 2015. "Option pricing in affine generalized Merton models," Papers 1512.03677, arXiv.org.
  53. Fajardo, José, 2015. "Barrier style contracts under Lévy processes: An alternative approach," Journal of Banking & Finance, Elsevier, vol. 53(C), pages 179-187.
  54. Ismail Laachir & Francesco Russo, 2016. "BSDEs, càdlàg martingale problems and orthogonalisation under basis risk," Post-Print hal-01086227, HAL.
  55. Tim Leung & Kevin W. Lu, 2025. "Pricing energy spread options with variance gamma-driven Ornstein-Uhlenbeck dynamics," Papers 2507.11480, arXiv.org, revised Aug 2025.
  56. Mesias Alfeus & James Collins, 2023. "A novel stochastic modeling framework for coal production and logistics through options pricing analysis," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-19, December.
  57. Marco Nicolosi & Flavio Angelini & Stefano Herzel, 2018. "Portfolio management with benchmark related incentives under mean reverting processes," Annals of Operations Research, Springer, vol. 266(1), pages 373-394, July.
  58. Ballotta, Laura & Rayée, Grégory, 2022. "Smiles & smirks: Volatility and leverage by jumps," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1145-1161.
  59. Chunfa Wang, 2017. "Pricing European Options by Stable Fourier-Cosine Series Expansions," Papers 1701.00886, arXiv.org, revised Jan 2017.
  60. Antonis Papapantoleon, 2011. "Computation of copulas by Fourier methods," Papers 1108.1216, arXiv.org, revised Jun 2014.
  61. Michael Samet & Christian Bayer & Chiheb Ben Hammouda & Antonis Papapantoleon & Ra'ul Tempone, 2022. "Optimal Damping with Hierarchical Adaptive Quadrature for Efficient Fourier Pricing of Multi-Asset Options in L\'evy Models," Papers 2203.08196, arXiv.org, revised Oct 2023.
  62. Maximilian Ga{ss} & Kathrin Glau & Maximilian Mair, 2015. "Magic points in finance: Empirical integration for parametric option pricing," Papers 1511.00884, arXiv.org, revised Nov 2016.
  63. Fred Espen Benth & Hanna Zdanowicz, 2014. "Pricing and hedging of energy spread options and volatility modulated Volterra processes," Papers 1409.5801, arXiv.org.
  64. Fajardo, José, 2016. "Power Style Contracts Under Asymmetric Lévy Processes," MPRA Paper 71813, University Library of Munich, Germany.
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