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On The American Option Problem

Citations

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Cited by:

  1. Felix Dammann & Giorgio Ferrari, 2023. "Optimal execution with multiplicative price impact and incomplete information on the return," Finance and Stochastics, Springer, vol. 27(3), pages 713-768, July.
  2. Basei, Matteo & Ferrari, Giorgio & Rodosthenous, Neofytos, 2023. "Uncertainty over Uncertainty in Environmental Policy Adoption: Bayesian Learning of Unpredictable Socioeconomic Costs," Center for Mathematical Economics Working Papers 677, Center for Mathematical Economics, Bielefeld University.
  3. Trutnau, Gerald, 2011. "Pathwise uniqueness of the squared Bessel and CIR processes with skew reflection on a deterministic time dependent curve," Stochastic Processes and their Applications, Elsevier, vol. 121(8), pages 1845-1863, August.
  4. Eisenbaum, Nathalie, 2006. "Local time-space stochastic calculus for Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 116(5), pages 757-778, May.
  5. Lempa, Jukka & Mordecki, Ernesto & Salminen, Paavo, 2024. "Diffusion spiders: Green kernel, excessive functions and optimal stopping," Stochastic Processes and their Applications, Elsevier, vol. 167(C).
  6. Dammann, Felix & Ferrari, Giorgio, 2021. "On an Irreversible Investment Problem with Two-Factor Uncertainty," Center for Mathematical Economics Working Papers 646, Center for Mathematical Economics, Bielefeld University.
  7. Felix Dammann & Giorgio Ferrari, 2022. "Optimal Execution with Multiplicative Price Impact and Incomplete Information on the Return," Papers 2202.10414, arXiv.org, revised Nov 2022.
  8. Minqiang Li, 2010. "A quasi-analytical interpolation method for pricing American options under general multi-dimensional diffusion processes," Review of Derivatives Research, Springer, vol. 13(2), pages 177-217, July.
  9. Basei, Matteo & Ferrari, Giorgio & Rodosthenous, Neofytos, 2024. "Uncertainty over uncertainty in environmental policy adoption: Bayesian learning of unpredictable socioeconomic costs," Journal of Economic Dynamics and Control, Elsevier, vol. 161(C).
  10. Yerkin Kitapbayev, 2019. "Closed form optimal exercise boundary of the American put option," Papers 1912.05438, arXiv.org, revised Jan 2021.
  11. Matteo Basei & Giorgio Ferrari & Neofytos Rodosthenous, 2023. "Uncertainty over Uncertainty in Environmental Policy Adoption: Bayesian Learning of Unpredictable Socioeconomic Costs," Papers 2304.10344, arXiv.org, revised Feb 2024.
  12. Buonaguidi, B., 2023. "An optimal sequential procedure for determining the drift of a Brownian motion among three values," Stochastic Processes and their Applications, Elsevier, vol. 159(C), pages 320-349.
  13. Duistermaat, J.J. & Kyprianou, A.E. & van Schaik, K., 2005. "Finite expiry Russian options," Stochastic Processes and their Applications, Elsevier, vol. 115(4), pages 609-638, April.
  14. Abel Azze & Bernardo D'Auria & Eduardo Garc'ia-Portugu'es, 2022. "Optimal stopping of Gauss-Markov bridges," Papers 2211.05835, arXiv.org, revised Jul 2024.
  15. Damir Filipovic & Yerkin Kitapbayev, 2016. "On the American swaption in the linear-rational framework," Papers 1607.02067, arXiv.org, revised Feb 2018.
  16. D'Auria, Bernardo & Guada, Abel, 2021. "Some results on optimally exercising American put options for time-inhomogeneous processes," DES - Working Papers. Statistics and Econometrics. WS 33130, Universidad Carlos III de Madrid. Departamento de Estadística.
  17. Gerald H. L. Cheang & Carl Chiarella & Andrew Ziogas, 2013. "The representation of American options prices under stochastic volatility and jump-diffusion dynamics," Quantitative Finance, Taylor & Francis Journals, vol. 13(2), pages 241-253, January.
  18. Ferrari, Giorgio & Zhu, Shihao, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Center for Mathematical Economics Working Papers 683, Center for Mathematical Economics, Bielefeld University.
  19. repec:hum:wpaper:sfb649dp2006-057 is not listed on IDEAS
  20. Yerkin Kitapbayev, 2015. "The British Lookback Option with Fixed Strike," Applied Mathematical Finance, Taylor & Francis Journals, vol. 22(3), pages 238-260, July.
  21. Tiziano De Angelis & Alessandro Milazzo & Gabriele Stabile, 2024. "On variable annuities with surrender charges," Papers 2405.02115, arXiv.org.
  22. Giorgio Ferrari & Shihao Zhu, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Papers 2311.12169, arXiv.org.
  23. Bruno Buonaguidi, 2023. "Finite Horizon Sequential Detection with Exponential Penalty for the Delay," Journal of Optimization Theory and Applications, Springer, vol. 198(1), pages 224-238, July.
  24. Aricson Cruz & José Carlos Dias, 2020. "Valuing American-style options under the CEV model: an integral representation based method," Review of Derivatives Research, Springer, vol. 23(1), pages 63-83, April.
  25. repec:hum:wpaper:sfb649dp2006-043 is not listed on IDEAS
  26. Tiziano De Angelis & Yerkin Kitapbayev, 2014. "On the optimal exercise boundaries of swing put options," Papers 1407.6860, arXiv.org, revised Jan 2017.
  27. Gapeev, Pavel V., 2006. "Discounted optimal stopping for maxima in diffusion models with finite horizon," SFB 649 Discussion Papers 2006-057, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
  28. Jeon, Junkee & Koo, Hyeng Keun & Shin, Yong Hyun, 2018. "Portfolio selection with consumption ratcheting," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 153-182.
  29. Cheng Cai & Tiziano De Angelis & Jan Palczewski, 2021. "The American put with finite-time maturity and stochastic interest rate," Papers 2104.08502, arXiv.org, revised Feb 2024.
  30. Azze, A. & D’Auria, B. & García-Portugués, E., 2024. "Optimal stopping of an Ornstein–Uhlenbeck bridge," Stochastic Processes and their Applications, Elsevier, vol. 172(C).
  31. de Angelis, Tiziano & Ferrari, Giorgio, 2014. "A Stochastic Reversible Investment Problem on a Finite-Time Horizon: Free Boundary Analysis," Center for Mathematical Economics Working Papers 477, Center for Mathematical Economics, Bielefeld University.
  32. Abel Azze & Bernardo D'Auria & Eduardo Garc'ia-Portugu'es, 2022. "Optimal exercise of American options under time-dependent Ornstein-Uhlenbeck processes," Papers 2211.04095, arXiv.org, revised Jun 2024.
  33. Tiziano Angelis & Gabriele Stabile, 2019. "On the free boundary of an annuity purchase," Finance and Stochastics, Springer, vol. 23(1), pages 97-137, January.
  34. Dammann, Felix & Ferrari, Giorgio, 2022. "Optimal Execution with Multiplicative Price Impact and Incomplete Information on the Return," Center for Mathematical Economics Working Papers 663, Center for Mathematical Economics, Bielefeld University.
  35. Felix Dammann & Giorgio Ferrari, 2021. "On an Irreversible Investment Problem with Two-Factor Uncertainty," Papers 2103.08258, arXiv.org, revised Jul 2021.
  36. Johnson, P. & Pedersen, J.L. & Peskir, G. & Zucca, C., 2022. "Detecting the presence of a random drift in Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 1068-1090.
  37. Zbigniew Palmowski & Budhi Surya, 2019. "Optimal valuation of American callable credit default swaps under drawdown of L\'evy insurance risk process," Papers 1904.10063, arXiv.org, revised Apr 2020.
  38. Gapeev, Pavel V., 2022. "Discounted optimal stopping problems in continuous hidden Markov models," LSE Research Online Documents on Economics 110493, London School of Economics and Political Science, LSE Library.
  39. Tiziano De Angelis & Yerkin Kitapbayev, 2018. "On the Optimal Exercise Boundaries of Swing Put Options," Mathematics of Operations Research, INFORMS, vol. 43(1), pages 252-274, February.
  40. De Angelis, Tiziano & Kitapbayev, Yerkin, 2017. "Integral equations for Rost’s reversed barriers: Existence and uniqueness results," Stochastic Processes and their Applications, Elsevier, vol. 127(10), pages 3447-3464.
  41. Cheng Cai & Tiziano De Angelis & Jan Palczewski, 2022. "The American put with finite‐time maturity and stochastic interest rate," Mathematical Finance, Wiley Blackwell, vol. 32(4), pages 1170-1213, October.
  42. Christensen, Sören & Crocce, Fabián & Mordecki, Ernesto & Salminen, Paavo, 2019. "On optimal stopping of multidimensional diffusions," Stochastic Processes and their Applications, Elsevier, vol. 129(7), pages 2561-2581.
  43. Tiziano De Angelis & Alessandro Milazzo, 2019. "Optimal stopping for the exponential of a Brownian bridge," Papers 1904.00075, arXiv.org, revised Nov 2019.
  44. Giorgio Ferrari & Shihao Zhu, 2022. "On a Merton Problem with Irreversible Healthcare Investment," Papers 2212.05317, arXiv.org, revised Dec 2023.
  45. Belomestny, Denis & Gapeev, Pavel V., 2006. "An iteration procedure for solving integral equations related to optimal stopping problems," SFB 649 Discussion Papers 2006-043, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
  46. Deswal, Komal & Kumar, Devendra, 2022. "Rannacher time-marching with orthogonal spline collocation method for retrieving the discontinuous behavior of hedging parameters," Applied Mathematics and Computation, Elsevier, vol. 427(C).
  47. Palmowski, Z. & Surya, B.A., 2020. "Optimal valuation of American callable credit default swaps under drawdown of Lévy insurance risk process," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 168-177.
  48. Thomas Kruse & Philipp Strack, 2019. "An Inverse Optimal Stopping Problem for Diffusion Processes," Mathematics of Operations Research, INFORMS, vol. 44(2), pages 423-439, May.
  49. Weiping Li & Su Chen, 2018. "The Early Exercise Premium In American Options By Using Nonparametric Regressions," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(07), pages 1-29, November.
  50. Hyun Jin Jang & Zuo Quan Xu & Harry Zheng, 2020. "Optimal Investment, Heterogeneous Consumption and Best Time for Retirement," Papers 2008.00392, arXiv.org, revised Jun 2022.
  51. Wei, Jiaqin & Wang, Rongming & Yang, Hailiang, 2012. "Optimal surrender strategies for equity-indexed annuity investors with partial information," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1251-1258.
  52. Nazym Azimbayev & Yerkin Kitapbayev, 2021. "On the valuation of multiple reset options: integral equation approach," Papers 2109.09302, arXiv.org.
  53. Erik Ekstrom & Juozas Vaicenavicius, 2015. "Optimal liquidation of an asset under drift uncertainty," Papers 1509.00686, arXiv.org.
  54. D'Auria, Bernardo & Guada Azze, Abel, 2021. "Optimal stopping of an Ornstein-Uhlenbeck bridge," DES - Working Papers. Statistics and Econometrics. WS 33508, Universidad Carlos III de Madrid. Departamento de Estadística.
  55. Ferrari, Giorgio & Zhu, Shihao, 2022. "Consumption Descision, Portfolio Choice and Healthcare Irreversible Investment," Center for Mathematical Economics Working Papers 671, Center for Mathematical Economics, Bielefeld University.
  56. Christensen, Sören & Fischer, Simon, 2023. "A new integral equation for Brownian stopping problems with finite time horizon," Stochastic Processes and their Applications, Elsevier, vol. 162(C), pages 338-360.
  57. Bernardo D’Auria & Eduardo García-Portugués & Abel Guada, 2020. "Discounted Optimal Stopping of a Brownian Bridge, with Application to American Options under Pinning," Mathematics, MDPI, vol. 8(7), pages 1-27, July.
  58. Gapeev, P.V. & Peskir, G., 2006. "The Wiener disorder problem with finite horizon," Stochastic Processes and their Applications, Elsevier, vol. 116(12), pages 1770-1791, December.
  59. Rolando Cavazos-Cadena & Mario Cantú-Sifuentes & Imelda Cerda-Delgado, 2021. "Nash equilibria in a class of Markov stopping games with total reward criterion," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(2), pages 319-340, October.
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