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Path Dependent Options: "Buy at the Low, Sell at the High"

Citations

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Cited by:

  1. Rahul R. Marathe & Sarah M. Ryan, 2009. "Capacity expansion under a service‐level constraint for uncertain demand with lead times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 250-263, April.
  2. San‐Lin Chung & Yi‐Ta Huang & Pai‐Ta Shih & Jr‐Yan Wang, 2019. "Semistatic hedging and pricing American floating strike lookback options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(4), pages 418-434, April.
  3. Boyle, Phelim & Draviam, Thangaraj, 2007. "Pricing exotic options under regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 267-282, March.
  4. Libor Pospisil & Jan Vecer, 2010. "Portfolio sensitivity to changes in the maximum and the maximum drawdown," Quantitative Finance, Taylor & Francis Journals, vol. 10(6), pages 617-627.
  5. Jeon, Junkee & Kwak, Minsuk, 2018. "Optimal surrender strategies and valuations of path-dependent guarantees in variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 93-109.
  6. Marcos Escobar-Anel & Matt Davison & Yichen Zhu, 2022. "Derivatives-based portfolio decisions: an expected utility insight," Annals of Finance, Springer, vol. 18(2), pages 217-246, June.
  7. D. Andricopoulos, Ari & Widdicks, Martin & Newton, David P. & Duck, Peter W., 2007. "Extending quadrature methods to value multi-asset and complex path dependent options," Journal of Financial Economics, Elsevier, vol. 83(2), pages 471-499, February.
  8. Ha, Mijin & Kim, Donghyun & Yoon, Ji-Hun, 2024. "Valuing of timer path-dependent options," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 208-227.
  9. Gao, Yin & Jia, Lifen, 2021. "Pricing formulas of barrier-lookback option in uncertain financial markets," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
  10. Sun-Yong Choi & Ji-Hun Yoon & Junkee Jeon, 2019. "Pricing of Fixed-Strike Lookback Options on Assets with Default Risk," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-10, January.
  11. Karl Grosse-Erdmann & Fabien Heuwelyckx, 2015. "The pricing of lookback options and binomial approximation," Papers 1502.02819, arXiv.org.
  12. Antoon Pelsser, "undated". "Pricing Double Barrier Options: An Analytical Approach," Computing in Economics and Finance 1997 130, Society for Computational Economics.
  13. Agarwal, Vikas & Arisoy, Y. Eser & Naik, Narayan Y., 2017. "Volatility of aggregate volatility and hedge fund returns," Journal of Financial Economics, Elsevier, vol. 125(3), pages 491-510.
  14. Jérôme Detemple, 1999. "American Options: Symmetry Properties," CIRANO Working Papers 99s-45, CIRANO.
  15. Estelle Sterrett & Waylon Jepsen & Evan Kim, 2022. "Replicating Portfolios: Constructing Permissionless Derivatives," Papers 2205.09890, arXiv.org, revised Jun 2022.
  16. Leonardo Perotti & Lech A. Grzelak, 2022. "On Pricing of Discrete Asian and Lookback Options under the Heston Model," Papers 2211.03638, arXiv.org, revised Feb 2024.
  17. Babbs, Simon, 2000. "Binomial valuation of lookback options," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1499-1525, October.
  18. Miura, Ryozo, 1992. "A Note on Look-Back Options Based on Order Statistics," Hitotsubashi Journal of commerce and management, Hitotsubashi University, vol. 27(1), pages 15-28, November.
  19. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
  20. Jonathan B. Berk & Richard Stanton & Josef Zechner, 2010. "Human Capital, Bankruptcy, and Capital Structure," Journal of Finance, American Finance Association, vol. 65(3), pages 891-926, June.
  21. Carlos Veiga & Uwe Wystup & Manuel Esquível, 2012. "Unifying exotic option closed formulas," Review of Derivatives Research, Springer, vol. 15(2), pages 99-128, July.
  22. Deng, Guohe, 2020. "Pricing perpetual American floating strike lookback option under multiscale stochastic volatility model," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
  23. Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 2001. "Hedging Derivative Securities and Incomplete Markets: An (epsilon)-Arbitrage Approach," Operations Research, INFORMS, vol. 49(3), pages 372-397, June.
  24. Kim, Geonwoo & Jeon, Junkee, 2018. "Closed-form solutions for valuing partial lookback options with random initiation," Finance Research Letters, Elsevier, vol. 24(C), pages 321-327.
  25. 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).
  26. Funga, William & Hsiehb, David A., 2013. "Hedge Funds," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1063-1125, Elsevier.
  27. Kristoffer Glover & Hardy Hulley & Goran Peskir, 2011. "Three-Dimensional Brownian Motion and the Golden Ratio Rule," Research Paper Series 295, Quantitative Finance Research Centre, University of Technology, Sydney.
  28. Jun, Doobae & Ku, Hyejin, 2017. "Closed-form solutions for options with random initiation under asset price monitoring," Finance Research Letters, Elsevier, vol. 20(C), pages 68-74.
  29. Austin, Chelsea Rae & Bobek, Donna D. & Harris, Ling L., 2021. "Does information about gender pay matter to investors? An experimental investigation," Accounting, Organizations and Society, Elsevier, vol. 90(C).
  30. Wong, Hoi Ying & Chan, Chun Man, 2007. "Lookback options and dynamic fund protection under multiscale stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 40(3), pages 357-385, May.
  31. Frehen, Rik G.P. & Hoevenaars, Roy P.M.M. & Palm, Franz C. & Schotman, Peter C., 2008. "Regret aversion and annuity risk in defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1050-1061, June.
  32. Pierre Collin Dufresne William Keirstead and Michael P. Ross., 1998. "Pricing Derivatives the Martingale Way," Research Program in Finance Working Papers RPF-279, University of California at Berkeley.
  33. Ewa Dziawgo, 2006. "Sensitivity Model Analysis of the Floating-strike Lookback Call Option Pricing," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 7, pages 125-132.
  34. Ulm, Eric R., 2014. "Analytic solution for ratchet guaranteed minimum death benefit options under a variety of mortality laws," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 14-23.
  35. Hans-Peter Bermin, 2000. "Hedging lookback and partial lookback options using Malliavin calculus," Applied Mathematical Finance, Taylor & Francis Journals, vol. 7(2), pages 75-100.
  36. Solibakke, Per Bjarte, 2001. "A stochastic volatility model specification with diagnostics for thinly traded equity markets," Journal of Multinational Financial Management, Elsevier, vol. 11(4-5), pages 385-406, December.
  37. Lee, Hangsuck, 2003. "Pricing equity-indexed annuities with path-dependent options," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 677-690, December.
  38. Luca De Gennaro Aquino & Carole Bernard, 2019. "Semi-analytical prices for lookback and barrier options under the Heston model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(2), pages 715-741, December.
  39. Detlef Seese & Christof Weinhardt & Frank Schlottmann (ed.), 2008. "Handbook on Information Technology in Finance," International Handbooks on Information Systems, Springer, number 978-3-540-49487-4, September.
  40. P. A. Forsyth & K. R. Vetzal & R. Zvan, 1999. "A finite element approach to the pricing of discrete lookbacks with stochastic volatility," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(2), pages 87-106.
  41. Daehwan Kim & Jin-Yeong Kim, 2011. "Valuing Income-Contingent Loans as Path-Dependent Options," Korean Economic Review, Korean Economic Association, vol. 27, pages 273-291.
  42. Leunglung Chan & Song-Ping Zhu, 2014. "An exact and explicit formula for pricing lookback options with regime switching," Papers 1407.4864, arXiv.org.
  43. Lee, Hangsuck & Ha, Hongjun & Lee, Minha, 2023. "Partial quanto lookback options," The North American Journal of Economics and Finance, Elsevier, vol. 64(C).
  44. Hoi Wong & Yue Kwok, 2003. "Sub-Replication and Replenishing Premium: Efficient Pricing of Multi-State Lookbacks," Review of Derivatives Research, Springer, vol. 6(2), pages 83-106, May.
  45. Li, Zeguang & Hou, Keqiang & Zhang, Chao, 2021. "The impacts of circuit breakers on China's stock market," Pacific-Basin Finance Journal, Elsevier, vol. 68(C).
  46. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
  47. Abel, Andrew B. & Eberly, Janice C., 1999. "The effects of irreversibility and uncertainty on capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 339-377, December.
  48. Hans-Peter Bermin & Peter Buchen & Otto Konstandatos, 2008. "Two Exotic Lookback Options," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(4), pages 387-402.
  49. Gongqiu Zhang & Lingfei Li, 2021. "A General Approach for Lookback Option Pricing under Markov Models," Papers 2112.00439, arXiv.org.
  50. Benjamin Marcus & Chris K. Anderson, 2006. "Online Low-Price Guarantees---A Real Options Analysis," Operations Research, INFORMS, vol. 54(6), pages 1041-1050, December.
  51. Jiri Hoogland & Dimitri Neumann, 1999. "Scale invariance and contingent claim pricing II: Path-dependent contingent claims," Finance 9907003, University Library of Munich, Germany.
  52. Garry de Jager & Joseph Winsen, 1992. "Curved Option Payoffs," Working Paper Series 19, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  53. Peter Buchen & Otto Konstandatos, 2009. "A New Approach to Pricing Double-Barrier Options with Arbitrary Payoffs and Exponential Boundaries," Applied Mathematical Finance, Taylor & Francis Journals, vol. 16(6), pages 497-515.
  54. Yang, Zhaoqiang, 2020. "Default probability of American lookback option in a mixed jump-diffusion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
  55. Jacques, Michel, 1997. "The Istanbul option: Where the standard European option becomes Asian," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 139-152, November.
  56. Jiling Cao & Jeong-Hoon Kim & Xi Li & Wenjun Zhang, 2022. "Pricing Path-dependent Options under Stochastic Volatility via Mellin Transform," Papers 2205.00573, arXiv.org.
  57. Fabien Heuwelyckx, 2013. "Convergence of European Lookback Options with Floating Strike in the Binomial Model," Papers 1302.2312, arXiv.org, revised Oct 2013.
  58. Cheuk, Terry H. F. & Vorst, Ton C. F., 1997. "Currency lookback options and observation frequency: A binomial approach," Journal of International Money and Finance, Elsevier, vol. 16(2), pages 173-187, April.
  59. Liming Feng & Vadim Linetsky, 2009. "Computing exponential moments of the discrete maximum of a Lévy process and lookback options," Finance and Stochastics, Springer, vol. 13(4), pages 501-529, September.
  60. 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).
  61. M. Broadie & Y. Yamamoto, 2005. "A Double-Exponential Fast Gauss Transform Algorithm for Pricing Discrete Path-Dependent Options," Operations Research, INFORMS, vol. 53(5), pages 764-779, October.
  62. Jordà, Òscar & Knüppel, Malte & Marcellino, Massimiliano, 2013. "Empirical simultaneous prediction regions for path-forecasts," International Journal of Forecasting, Elsevier, vol. 29(3), pages 456-468.
  63. Protter, Philip, 2001. "A partial introduction to financial asset pricing theory," Stochastic Processes and their Applications, Elsevier, vol. 91(2), pages 169-203, February.
  64. Ballestra, Luca Vincenzo & Pacelli, Graziella & Zirilli, Francesco, 2007. "A numerical method to price exotic path-dependent options on an underlying described by the Heston stochastic volatility model," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3420-3437, November.
  65. Easley, David & Hendershott, Terrence & Ramadorai, Tarun, 2014. "Leveling the trading field," Journal of Financial Markets, Elsevier, vol. 17(C), pages 65-93.
  66. R. Guy Thomas, 2023. "Long-term option pricing with a lower reflecting barrier," Papers 2302.05808, arXiv.org.
  67. Stoll, Hans R. & Schenzler, Christoph, 2006. "Trades outside the quotes: Reporting delay, trading option, or trade size?," Journal of Financial Economics, Elsevier, vol. 79(3), pages 615-653, March.
  68. Sheldon Lin, X., 1998. "Double barrier hitting time distributions with applications to exotic options," Insurance: Mathematics and Economics, Elsevier, vol. 23(1), pages 45-58, October.
  69. Abudy, Menachem Meni & Raviv, Alon, 2016. "How much can illiquidity affect corporate debt yield spread?," Journal of Financial Stability, Elsevier, vol. 25(C), pages 58-69.
  70. Mihnea-Stefan Mihai, 2003. "Stochastics for the worst case: distributions and risk measures for minimal returns," Risk and Insurance 0305001, University Library of Munich, Germany.
  71. Karl Grosse-Erdmann & Fabien Heuwelyckx, 2016. "The pricing of lookback options and binomial approximation," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(1), pages 33-67, April.
  72. Ju, Nengjiu & Leland, Hayne & Senbet, Lemma W., 2014. "Options, option repricing in managerial compensation: Their effects on corporate investment risk," Journal of Corporate Finance, Elsevier, vol. 29(C), pages 628-643.
  73. S. G. Kou & Hui Wang, 2004. "Option Pricing Under a Double Exponential Jump Diffusion Model," Management Science, INFORMS, vol. 50(9), pages 1178-1192, September.
  74. Peter Buchen & Hamish Malloch, 2014. "CLA's, PLA's and a new method for pricing general passport options," Quantitative Finance, Taylor & Francis Journals, vol. 14(7), pages 1201-1209, July.
  75. Gerber, Hans U. & Shiu, Elias S.W. & Yang, Hailiang, 2012. "Valuing equity-linked death benefits and other contingent options: A discounted density approach," Insurance: Mathematics and Economics, Elsevier, vol. 51(1), pages 73-92.
  76. Vicky Henderson & David Hobson, 2001. "Passport options with stochastic volatility," Applied Mathematical Finance, Taylor & Francis Journals, vol. 8(2), pages 97-118.
  77. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
  78. Lee, Hangsuck & Kim, Eunchae & Ko, Bangwon, 2022. "Valuing lookback options with barrier," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
  79. Naoki Kishimoto, 2004. "Pricing Path-Dependent Securities by the Extended Tree Method," Management Science, INFORMS, vol. 50(9), pages 1235-1248, September.
  80. Mark Broadie & Jérôme Detemple, 1996. "Recent Advances in Numerical Methods for Pricing Derivative Securities," CIRANO Working Papers 96s-17, CIRANO.
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