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Pricing Options With Curved Boundaries1

Citations

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Cited by:

  1. Jun, Doobae & Ku, Hyejin, 2015. "Static hedging of chained-type barrier options," The North American Journal of Economics and Finance, Elsevier, vol. 33(C), pages 317-327.
  2. Taiga Saito, 2016. "Pricing Foreign Exchange Options Under Intervention by Absorption Modeling," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 23(1), pages 85-106, March.
  3. Lu, Yu-Ming & Lyuu, Yuh-Dauh, 2023. "Very fast algorithms for implied barriers and moving-barrier options pricing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 251-271.
  4. Andrew Ming-Long Wang & Yu-Hong Liu & Yi-Long Hsiao, 2009. "Barrier option pricing: a hybrid method approach," Quantitative Finance, Taylor & Francis Journals, vol. 9(3), pages 341-352.
  5. Tristan Guillaume, 2011. "Some sequential boundary crossing results for geometric Brownian motion and their applications in financial engineering," Post-Print hal-00924277, HAL.
  6. C. Atkinson & S. Kazantzaki, 2009. "Double knock-out Asian barrier options which widen or contract as they approach maturity," Quantitative Finance, Taylor & Francis Journals, vol. 9(3), pages 329-340.
  7. Norland, Erik & Wilford, D. Sykes, 2002. "Leverage, liquidity, volatility, time horizon, and the risk of ruin: A barrier option approach," Review of Financial Economics, Elsevier, vol. 11(3), pages 225-239.
  8. Antoon Pelsser, "undated". "Pricing Double Barrier Options: An Analytical Approach," Computing in Economics and Finance 1997 130, Society for Computational Economics.
  9. Dmitry Davydov & Vadim Linetsky, 2003. "Pricing Options on Scalar Diffusions: An Eigenfunction Expansion Approach," Operations Research, INFORMS, vol. 51(2), pages 185-209, April.
  10. André Catalão & Rogério Rosenfeld, 2020. "Analytical Path-Integral Pricing Of Deterministic Moving-Barrier Options Under Non-Gaussian Distributions," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 23(01), pages 1-52, February.
  11. repec:dau:papers:123456789/5374 is not listed on IDEAS
  12. Hsu, Yu-Sheng & Chen, Pei-Chun & Wu, Cheng-Hsun, 2022. "Double-barrier option pricing equations under extended geometric Brownian motion with bankruptcy risk," Statistics & Probability Letters, Elsevier, vol. 184(C).
  13. Amirhossein Sobhani & Mariyan Milev, 2017. "A Numerical Method for Pricing Discrete Double Barrier Option by Lagrange Interpolation on Jacobi Node," Papers 1712.01060, arXiv.org, revised Feb 2018.
  14. Andre Catalao & Rogerio Rosenfeld, 2018. "Analytical Path-Integral Pricing of Moving-Barrier Options under non-Gaussian Distributions," Papers 1804.07852, arXiv.org.
  15. Hangsuck Lee & Hongjun Ha & Minha Lee, 2022. "Piecewise linear double barrier options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(1), pages 125-151, January.
  16. Zvan, R. & Vetzal, K. R. & Forsyth, P. A., 2000. "PDE methods for pricing barrier options," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1563-1590, October.
  17. M. Krivko & M. V. Tretyakov, 2012. "Application of simplest random walk algorithms for pricing barrier options," Papers 1211.5726, arXiv.org.
  18. Yuh‐Dauh Lyuu & Yu‐Quan Zhang, 2023. "Pricing multiasset time‐varying double‐barrier options with time‐dependent parameters," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(3), pages 404-434, March.
  19. Zhang, Xiaoyuan & Zhang, Tianqi, 2023. "On pricing double-barrier options with Markov regime switching," Finance Research Letters, Elsevier, vol. 51(C).
  20. J. Mart'in Ovejero, 2022. "Vanna-Volga pricing for single and double barrier FX options," Papers 2211.12652, arXiv.org, revised Nov 2022.
  21. Dmitry Davydov & Vadim Linetsky, 2001. "Pricing and Hedging Path-Dependent Options Under the CEV Process," Management Science, INFORMS, vol. 47(7), pages 949-965, July.
  22. Igor V. Kravchenko & Vladislav V. Kravchenko & Sergii M. Torba & José Carlos Dias, 2019. "Pricing Double Barrier Options On Homogeneous Diffusions: A Neumann Series Of Bessel Functions Representation," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(06), pages 1-24, September.
  23. Choe, Geon Ho & Koo, Ki Hwan, 2014. "Probability of multiple crossings and pricing of double barrier options," The North American Journal of Economics and Finance, Elsevier, vol. 29(C), pages 156-184.
  24. Lee, Hangsuck & Ko, Bangwon & Lee, Minha, 2023. "The pricing and static hedging of multi-step double barrier options," Finance Research Letters, Elsevier, vol. 55(PA).
  25. Fusai, Gianluca & Recchioni, Maria Cristina, 2007. "Analysis of quadrature methods for pricing discrete barrier options," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 826-860, March.
  26. Lee, Hangsuck & Lee, Gaeun & Song, Seongjoo, 2023. "Min–max multi-step barrier options and their variants," The North American Journal of Economics and Finance, Elsevier, vol. 67(C).
  27. Doobae Jun & Hyejin Ku, 2013. "Valuation of American partial barrier options," Review of Derivatives Research, Springer, vol. 16(2), pages 167-191, July.
  28. Prigent, Jean-Luc & Renault, Olivier & Scaillet, Olivier, 2004. "Option pricing with discrete rebalancing," Journal of Empirical Finance, Elsevier, vol. 11(1), pages 133-161, January.
  29. Bekiros, Stelios & Kouloumpou, Dimitra, 2019. "On the pricing of exotic options: A new closed-form valuation approach," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 153-162.
  30. Lee, Hangsuck & Ha, Hongjun & Lee, Minha, 2021. "Valuation of piecewise linear barrier options," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
  31. Gerardo Hernández-del-Valle & Wincy A. Guerra-Polania, 2023. "On the heat equation with a moving boundary and applications to hitting times for Brownian motion," CEMLA Working Paper Series 05/2023, CEMLA.
  32. Kim, Jerim & Kim, Jeongsim & Joo Yoo, Hyun & Kim, Bara, 2015. "Pricing external barrier options in a regime-switching model," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 123-143.
  33. Li, Minqiang & Pearson, Neil D. & Poteshman, Allen M., 2004. "Conditional estimation of diffusion processes," Journal of Financial Economics, Elsevier, vol. 74(1), pages 31-66, October.
  34. Paul Glasserman & Jeremy Staum, 2001. "Conditioning on One-Step Survival for Barrier Option Simulations," Operations Research, INFORMS, vol. 49(6), pages 923-937, December.
  35. Pavel V. Shevchenko & Pierre Del Moral, 2014. "Valuation of Barrier Options using Sequential Monte Carlo," Papers 1405.5294, arXiv.org, revised Jul 2015.
  36. Wai Man Tse & Leong Kwan Li & Kai Wang Ng, 2001. "Pricing Discrete Barrier and Hindsight Options with the Tridiagonal Probability Algorithm," Management Science, INFORMS, vol. 47(3), pages 383-393, March.
  37. Sheng-Feng Luo & Hsin-Chieh Wong, 2023. "Continuity correction: on the pricing of discrete double barrier options," Review of Derivatives Research, Springer, vol. 26(1), pages 51-90, April.
  38. U Hou Lok & Yuh‐Dauh Lyuu, 2020. "Efficient trinomial trees for local‐volatility models in pricing double‐barrier options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(4), pages 556-574, April.
  39. Farid MKAOUAR & Jean-luc PRIGENT, 2014. "Constant Proportion Portfolio Insurance under Tolerance and Transaction Costs," Working Papers 2014-303, Department of Research, Ipag Business School.
  40. Erik Norland & D.Sykes Wilford, 2002. "Leverage, liquidity, volatility, time horizon, and the risk of ruin," Review of Financial Economics, John Wiley & Sons, vol. 11(3), pages 225-239.
  41. Arianna Agosto & Enrico Moretto, 2012. "Exploiting default probabilities in a structural model with nonconstant barrier," Applied Financial Economics, Taylor & Francis Journals, vol. 22(8), pages 667-679, April.
  42. Lian, Guanghua & Zhu, Song-Ping & Elliott, Robert J. & Cui, Zhenyu, 2017. "Semi-analytical valuation for discrete barrier options under time-dependent Lévy processes," Journal of Banking & Finance, Elsevier, vol. 75(C), pages 167-183.
  43. Igor V. Kravchenko & Vladislav V. Kravchenko & Sergii M. Torba & Jos'e Carlos Dias, 2017. "Pricing double barrier options on homogeneous diffusions: a Neumann series of Bessel functions representation," Papers 1712.08247, arXiv.org.
  44. Massimo Costabile, 2001. "A discrete-time algorithm for pricing double barrier options," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 24(1), pages 49-58, May.
  45. Zura Kakushadze, 2020. "Option Pricing: Channels, Target Zones and Sideways Markets," Papers 2006.14121, arXiv.org.
  46. Yuh-Dauh Lyuu & Huei-Wen Teng, 2011. "Unbiased and efficient Greeks of financial options," Finance and Stochastics, Springer, vol. 15(1), pages 141-181, January.
  47. Zhang, Jiayi & Zhou, Ke, 2024. "Analytical valuation of vulnerable chained options," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).
  48. Fernández Lexuri & Hieber Peter & Scherer Matthias, 2013. "Double-barrier first-passage times of jump-diffusion processes," Monte Carlo Methods and Applications, De Gruyter, vol. 19(2), pages 107-141, July.
  49. Wang, Heqian & Zhang, Jiayi & Zhou, Ke, 2022. "On pricing of vulnerable barrier options and vulnerable double barrier options," Finance Research Letters, Elsevier, vol. 44(C).
  50. Hieber, Peter & Scherer, Matthias, 2012. "A note on first-passage times of continuously time-changed Brownian motion," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 165-172.
  51. Youngchul Han & Geonwoo Kim, 2016. "Efficient Lattice Method for Valuing of Options with Barrier in a Regime Switching Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-14, October.
  52. Hangsuck Lee & Gaeun Lee & Seongjoo Song, 2022. "Multi‐step reflection principle and barrier options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(4), pages 692-721, April.
  53. Bradley Sturt, 2021. "A nonparametric algorithm for optimal stopping based on robust optimization," Papers 2103.03300, arXiv.org, revised Mar 2023.
  54. Jos� Carlos Dias & João Pedro Vidal Nunes & João Pedro Ruas, 2015. "Pricing and static hedging of European-style double barrier options under the jump to default extended CEV model," Quantitative Finance, Taylor & Francis Journals, vol. 15(12), pages 1995-2010, December.
  55. Gregor Dorfleitner & Paul Schneider & Kurt Hawlitschek & Arne Buch, 2008. "Pricing options with Green's functions when volatility, interest rate and barriers depend on time," Quantitative Finance, Taylor & Francis Journals, vol. 8(2), pages 119-133.
  56. Rahman Farnoosh & Hamidreza Rezazadeh & Amirhossein Sobhani & M. Hossein Beheshti, 2016. "A Numerical Method for Discrete Single Barrier Option Pricing with Time-Dependent Parameters," Computational Economics, Springer;Society for Computational Economics, vol. 48(1), pages 131-145, June.
  57. Zura Kakushadze, 2020. "Option Pricing: Channels, Target Zones and Sideways Markets," Bulletin of Applied Economics, Risk Market Journals, vol. 7(2), pages 25-33.
  58. Caramellino Lucia & Pacchiarotti Barbara, 2002. "Sharp estimates for the hitting probability on time-dependent barriers for a Brownian Motion. Weak approximation of a Brownian motion killed on time-dependent barriers," Monte Carlo Methods and Applications, De Gruyter, vol. 8(3), pages 221-236, December.
  59. Lee, Hangsuck & Jeong, Himchan & Lee, Minha, 2022. "Multi-step double barrier options," Finance Research Letters, Elsevier, vol. 47(PA).
  60. Lee, Hangsuck & Ha, Hongjun & Kong, Byungdoo & Lee, Minha, 2023. "Pricing multi-step double barrier options by the efficient non-crossing probability," Finance Research Letters, Elsevier, vol. 54(C).
  61. Kensuke Ishitani, 2016. "Computation of first-order Greeks for barrier options using chain rules for Wiener path integrals," Papers 1611.05194, arXiv.org, revised Dec 2016.
  62. Yongsik Kim & Hyeong-Ohk Bae & Hyeng Keun Koo, 2014. "Option pricing and Greeks via a moving least square meshfree method," Quantitative Finance, Taylor & Francis Journals, vol. 14(10), pages 1753-1764, October.
  63. Lee, Hangsuck & Kim, Eunchae & Ko, Bangwon, 2022. "Valuing lookback options with barrier," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
  64. Hangsuck Lee & Gaeun Lee & Seongjoo Song, 2021. "Multi-step Reflection Principle and Barrier Options," Papers 2105.15008, arXiv.org.
  65. Marianito R. Rodrigo, 2020. "Pricing of Barrier Options on Underlying Assets with Jump-Diffusion Dynamics: A Mellin Transform Approach," Mathematics, MDPI, vol. 8(8), pages 1-20, August.
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