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A Jump-Diffusion Model for Option Pricing

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Cited by:

  1. Edward P. C. Kao & Weiwei Xie, 2017. "Pricing spread options by generalized bivariate edgeworth expansion," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 4(02n03), pages 1-30, June.
  2. Sharif Mozumder & Arafatur Rahman, 2016. "Market Risk Of Investment In Us Subprime Crisis: Comparison Of A Pure Diffusion And A Pure Jump Model," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(03), pages 1-17, September.
  3. Audrino, Francesco & Fengler, Matthias R., 2015. "Are classical option pricing models consistent with observed option second-order moments? Evidence from high-frequency data," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 46-63.
  4. Christian Walter, 2020. "Sustainable Financial Risk Modelling Fitting the SDGs: Some Reflections," Sustainability, MDPI, vol. 12(18), pages 1-28, September.
  5. Hamidreza Maleki Almani & Foad Shokrollahi & Tommi Sottinen, 2024. "Hedging in Jump Diffusion Model with Transaction Costs," Papers 2408.10785, arXiv.org.
  6. Jean-Philippe Aguilar, 2021. "The value of power-related options under spectrally negative Lévy processes," Review of Derivatives Research, Springer, vol. 24(2), pages 173-196, July.
  7. Laura Ballotta & Ioannis Kyriakou, 2015. "Convertible bond valuation in a jump diffusion setting with stochastic interest rates," Quantitative Finance, Taylor & Francis Journals, vol. 15(1), pages 115-129, January.
  8. Endres, Sylvia & Stübinger, Johannes, 2017. "Optimal trading strategies for Lévy-driven Ornstein-Uhlenbeck processes," FAU Discussion Papers in Economics 17/2017, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
  9. Lian, Yu-Min & Chen, Jun-Home & Liao, Szu-Lang, 2021. "Cojump risks and their impacts on option pricing," The Quarterly Review of Economics and Finance, Elsevier, vol. 79(C), pages 399-410.
  10. Gifty Malhotra & R. Srivastava & H. C. Taneja, 2019. "Comparative Study of Two Extensions of Heston Stochastic Volatility Model," Papers 1912.10237, arXiv.org.
  11. Jorge González Cázares & Aleksandar Mijatović, 2022. "Simulation of the drawdown and its duration in Lévy models via stick-breaking Gaussian approximation," Finance and Stochastics, Springer, vol. 26(4), pages 671-732, October.
  12. M. Gardini & P. Sabino & E. Sasso, 2021. "The Variance Gamma++ Process and Applications to Energy Markets," Papers 2106.15452, arXiv.org.
  13. Nan Chen & Yanchu Liu, 2014. "American Option Sensitivities Estimation via a Generalized Infinitesimal Perturbation Analysis Approach," Operations Research, INFORMS, vol. 62(3), pages 616-632, June.
  14. van Wijnbergen, Sweder & Olijslagers, Stan & Petersen, Annelie & de Vette, Nander, 2018. "What Option Prices tell us about the ECB's Unconventional Monetary Policies," CEPR Discussion Papers 13371, C.E.P.R. Discussion Papers.
  15. Lei Fan & Justin Sirignano, 2024. "Machine Learning Methods for Pricing Financial Derivatives," Papers 2406.00459, arXiv.org.
  16. Alberto Bueno-Guerrero & Steven P. Clark, 2023. "Option Pricing under a Generalized Black–Scholes Model with Stochastic Interest Rates, Stochastic Strings, and Lévy Jumps," Mathematics, MDPI, vol. 12(1), pages 1-39, December.
  17. Zihan Liu & Ju’e Guo & Shubin Wang & Hongtao Liu, 2018. "Government incentive strategies and private capital participation in China’s Shale gas development," Applied Economics, Taylor & Francis Journals, vol. 50(1), pages 51-64, January.
  18. Li, Zhe & Zhang, Wei-Guo & Liu, Yong-Jun & Zhang, Yue, 2019. "Pricing discrete barrier options under jump-diffusion model with liquidity risk," International Review of Economics & Finance, Elsevier, vol. 59(C), pages 347-368.
  19. Mitya Boyarchenko & Sergei Levendorskiĭ, 2015. "Ghost calibration and the pricing of barrier options and CDS in spectrally one-sided L�vy models: the parabolic Laplace inversion method," Quantitative Finance, Taylor & Francis Journals, vol. 15(3), pages 421-441, March.
  20. Jugal Mohapatra & Sudarshan Santra & Higinio Ramos, 2024. "Analytical and Numerical Solution for the Time Fractional Black-Scholes Model Under Jump-Diffusion," Computational Economics, Springer;Society for Computational Economics, vol. 63(5), pages 1853-1878, May.
  21. Benth, Fred Espen & Biegler-König, Richard & Kiesel, Rüdiger, 2013. "An empirical study of the information premium on electricity markets," Energy Economics, Elsevier, vol. 36(C), pages 55-77.
  22. Carr, Peter & Wu, Liuren, 2007. "Stochastic skew in currency options," Journal of Financial Economics, Elsevier, vol. 86(1), pages 213-247, October.
  23. Georgiev, Slavi G. & Vulkov, Lubin G., 2021. "Computation of the unknown volatility from integral option price observations in jump–diffusion models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 591-608.
  24. Ruochen Xiao & Qiaochu Feng & Ruxin Deng, 2022. "Inflexible Multi-Asset Hedging of incomplete market," Papers 2211.00948, arXiv.org, revised May 2023.
  25. N. Hilber & N. Reich & C. Schwab & C. Winter, 2009. "Numerical methods for Lévy processes," Finance and Stochastics, Springer, vol. 13(4), pages 471-500, September.
  26. van der Zwaard, Thomas & Grzelak, Lech A. & Oosterlee, Cornelis W., 2021. "A computational approach to hedging Credit Valuation Adjustment in a jump-diffusion setting," Applied Mathematics and Computation, Elsevier, vol. 391(C).
  27. Adam W. Kolkiewicz & Fangyuan Sally Lin, 2017. "Pricing Surrender Risk in Ratchet Equity-Index Annuities under Regime-Switching Lévy Processes," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(3), pages 433-457, July.
  28. Zhao, Pan & Pan, Jian & Yue, Qin & Zhang, Jinbo, 2021. "Pricing of financial derivatives based on the Tsallis statistical theory," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
  29. Jr-Wei Huang & Sharon S. Yang & Chuang-Chang Chang, 2021. "Modeling Housing Price Dynamics and their Impact on the Cost of no-Negative-Equity-Guarantees for Equity Releasing Products," The Journal of Real Estate Finance and Economics, Springer, vol. 63(2), pages 249-279, August.
  30. Xu, Weidong & Wu, Chongfeng & Li, Hongyi, 2011. "Accounting for the impact of higher order moments in foreign equity option pricing model," Economic Modelling, Elsevier, vol. 28(4), pages 1726-1729, July.
  31. Kliber, Pawel, 2008. "A Proposal of Portfolio Choice for Infinitely Divisible Distributions of Assets Returns," MPRA Paper 22541, University Library of Munich, Germany.
  32. Linjia Dong & Zhaojun Yang, 2022. "An Algorithm for the Pricing and Timing of the Option to make a Two-Stage Investment with Credit Guarantees," Computational Economics, Springer;Society for Computational Economics, vol. 60(3), pages 1175-1196, October.
  33. Kirkby, J. Lars & Nguyen, Duy, 2021. "Equity-linked Guaranteed Minimum Death Benefits with dollar cost averaging," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 408-428.
  34. Carl Chiarella & Boda Kang & Gunter H. Meyer & Andrew Ziogas, 2009. "The Evaluation Of American Option Prices Under Stochastic Volatility And Jump-Diffusion Dynamics Using The Method Of Lines," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 393-425.
  35. Cristian Homescu, 2011. "Implied Volatility Surface: Construction Methodologies and Characteristics," Papers 1107.1834, arXiv.org.
  36. Keegan Mendonca & Vasileios E. Kontosakos & Athanasios A. Pantelous & Konstantin M. Zuev, 2018. "Efficient Pricing of Barrier Options on High Volatility Assets using Subset Simulation," Papers 1803.03364, arXiv.org, revised Mar 2018.
  37. Wujiang Lou, 2017. "Haircutting Non-cash Collateral," Papers 1708.07585, arXiv.org.
  38. Gapeev, Pavel V., 2006. "Discounted optimal stopping for maxima of some jump-diffusion processes," SFB 649 Discussion Papers 2006-059, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
  39. Xindan Li & Dan Tang & Yongjin Wang & Xuewei Yang, 2014. "Optimal processing rate and buffer size of a jump-diffusion processing system," Annals of Operations Research, Springer, vol. 217(1), pages 319-335, June.
  40. Kuo-Shing Chen & Yu-Chuan Huang, 2021. "Detecting Jump Risk and Jump-Diffusion Model for Bitcoin Options Pricing and Hedging," Mathematics, MDPI, vol. 9(20), pages 1-24, October.
  41. Sharif Mozumder & Taufiq Choudhry & Michael Dempsey, 2021. "Option Pricing Model Biases: Bayesian and Markov Chain Monte Carlo Regression Analysis," Computational Economics, Springer;Society for Computational Economics, vol. 57(4), pages 1287-1305, April.
  42. Fuh, Cheng-Der & Luo, Sheng-Feng & Yen, Ju-Fang, 2013. "Pricing discrete path-dependent options under a double exponential jump–diffusion model," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 2702-2713.
  43. Mo, Henry & Wu, Liuren, 2007. "International capital asset pricing: Evidence from options," Journal of Empirical Finance, Elsevier, vol. 14(4), pages 465-498, September.
  44. Matthew Lorig & Oriol Lozano-Carbass�, 2015. "Multiscale exponential L�vy-type models," Quantitative Finance, Taylor & Francis Journals, vol. 15(1), pages 91-100, January.
  45. João Guerra & Manuel Guerra & Zachary Polaski, 2019. "Market Timing with Option-Implied Distributions in an Exponentially Tempered Stable Lévy Market," Working Papers REM 2019/74, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
  46. Britta Förster & Bernd Hayo, 2018. "Monetary and Fiscal Policy in Times of Crisis: A New Keynesian Perspective in Continuous Time," Manchester School, University of Manchester, vol. 86(1), pages 21-48, January.
  47. Kallsen, Jan & Tankov, Peter, 2006. "Characterization of dependence of multidimensional Lévy processes using Lévy copulas," Journal of Multivariate Analysis, Elsevier, vol. 97(7), pages 1551-1572, August.
  48. Anna Maria Gambaro & Nicola Secomandi, 2021. "A Discussion of Non‐Gaussian Price Processes for Energy and Commodity Operations," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 47-67, January.
  49. Kuldip Singh Patel & Mani Mehra, 2018. "Fourth-Order Compact Scheme For Option Pricing Under The Merton’S And Kou’S Jump-Diffusion Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(04), pages 1-26, June.
  50. Buckley, Winston & Long, Hongwei & Marshall, Mario, 2016. "Numerical approximations of optimal portfolios in mispriced asymmetric Lévy markets," European Journal of Operational Research, Elsevier, vol. 252(2), pages 676-686.
  51. Kim, Hyun-Gyoon & Kim, Jeong-Hoon, 2023. "A stochastic-local volatility model with Le´vy jumps for pricing derivatives," Applied Mathematics and Computation, Elsevier, vol. 451(C).
  52. Oleg Kudryavtsev & Antonino Zanette, 2013. "Efficient pricing of swing options in L�vy-driven models," Quantitative Finance, Taylor & Francis Journals, vol. 13(4), pages 627-635, March.
  53. Hamidi, Benjamin & Maillet, Bertrand & Prigent, Jean-Luc, 2014. "A dynamic autoregressive expectile for time-invariant portfolio protection strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 1-29.
  54. Daniel Sevcovic & Cyril Izuchukwu Udeani, 2021. "Multidimensional linear and nonlinear partial integro-differential equation in Bessel potential spaces with applications in option pricing," Papers 2106.10498, arXiv.org.
  55. Aase, Knut K, 2005. "Using Option Pricing Theory to Infer About Historical Equity Premiums," University of California at Los Angeles, Anderson Graduate School of Management qt3dd602j5, Anderson Graduate School of Management, UCLA.
  56. Moritz Duembgen & L. C. G. Rogers, 2014. "Estimate nothing," Quantitative Finance, Taylor & Francis Journals, vol. 14(12), pages 2065-2072, December.
  57. Belssing Taruvinga, 2019. "Solving Selected Problems on American Option Pricing with the Method of Lines," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4-2019, January-A.
  58. Chen, Ke & Vitiello, Luiz & Hyde, Stuart & Poon, Ser-Huang, 2018. "The reality of stock market jumps diversification," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 171-188.
  59. Boyi Li & Weixuan Xia, 2024. "Crypto Inverse-Power Options and Fractional Stochastic Volatility," Papers 2403.16006, arXiv.org, revised Sep 2024.
  60. Amr Abou-Senna & Boping Tian, 2022. "Almost Sure Exponential Stability of Numerical Solutions for Stochastic Pantograph Differential Equations with Poisson Jumps," Mathematics, MDPI, vol. 10(17), pages 1-18, September.
  61. Dotsis, George & Psychoyios, Dimitris & Skiadopoulos, George, 2007. "An empirical comparison of continuous-time models of implied volatility indices," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3584-3603, December.
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  63. Aase, Knut K, 2005. "The perpetual American put option for jump-diffusions with applications," University of California at Los Angeles, Anderson Graduate School of Management qt31g898nz, Anderson Graduate School of Management, UCLA.
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