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Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis

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Cited by:

  1. Ben Abdallah, Skander & Lasserre, Pierre, 2016. "Asset retirement with infinitely repeated alternative replacements: Harvest age and species choice in forestry," Journal of Economic Dynamics and Control, Elsevier, vol. 70(C), pages 144-164.
  2. Beatriz Mota Aragón, 2011. "Capital Investments and Real Options: New Proposals," Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics), Tecnológico de Monterrey, Campus Ciudad de México, vol. 5(1), pages 65-76.
  3. Zbigniew Palmowski & Tomasz Serafin, 2020. "A Note on Simulation Pricing of π -Options," Risks, MDPI, vol. 8(3), pages 1-19, August.
  4. Jin, Ting & Yang, Xiangfeng, 2021. "Monotonicity theorem for the uncertain fractional differential equation and application to uncertain financial market," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 203-221.
  5. Jonathan A. Batten & Karren Lee-Hwei Khaw & Martin R. Young, 2014. "Convertible Bond Pricing Models," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 775-803, December.
  6. Majd, Saman & Pindyck, Robert S., 1987. "Time to build, option value, and investment decisions," Journal of Financial Economics, Elsevier, vol. 18(1), pages 7-27, March.
  7. Izvorski, Ivailo, 1998. "A nonuniform grid method for solving PDE's," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1445-1452, August.
  8. Ekvall, Niklas, 1996. "A lattice approach for pricing of multivariate contingent claims," European Journal of Operational Research, Elsevier, vol. 91(2), pages 214-228, June.
  9. Kristensen, Dennis & Mele, Antonio, 2011. "Adding and subtracting Black-Scholes: A new approach to approximating derivative prices in continuous-time models," Journal of Financial Economics, Elsevier, vol. 102(2), pages 390-415.
  10. Patrik Karlsson, 2018. "Finite element based Monte Carlo simulation of options on Lévy driven assets," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 1-23, March.
  11. Werry Febrianti & Kuntjoro Adji Sidarto & Novriana Sumarti, 2023. "The Combinational Mutation Strategy of Differential Evolution Algorithm for Pricing Vanilla Options and Its Implementation on Data during Covid-19 Pandemic," Papers 2301.09261, arXiv.org.
  12. Yu-Fu Chen & Michael Funke & Nicole Glanemann, 2011. "Time is Running Out: The 2°C Target and Optimal Climate Policies," Dundee Discussion Papers in Economics 262, Economic Studies, University of Dundee.
  13. Don M. Chance, 1994. "The Pricing And Hedging Of Limited Exercise Caps And Spreads," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 17(4), pages 561-584, December.
  14. Bengtsson, Jens & Olhager, Jan, 2002. "Valuation of product-mix flexibility using real options," International Journal of Production Economics, Elsevier, vol. 78(1), pages 13-28, July.
  15. Dilip B. Madan & Frank Milne, 1991. "Option Pricing With V. G. Martingale Components," Working Paper 1159, Economics Department, Queen's University.
  16. Xubiao He & Pu Gong, 2020. "A Radial Basis Function-Generated Finite Difference Method to Evaluate Real Estate Index Options," Computational Economics, Springer;Society for Computational Economics, vol. 55(3), pages 999-1019, March.
  17. Carl Chiarella & Nadima El-Hassan, 1997. "Evaluation of Derivative Security Prices in the Heath-Jarrow-Morton Framework as Path Integrals Using Fast Fourier Transform Techniques," Working Paper Series 72, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  18. 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.
  19. Eric Benhamou & Alexandre Duguet, 2000. "A 2 Dimensional Pde For Discrete Asian Options," Computing in Economics and Finance 2000 33, Society for Computational Economics.
  20. Carpenter, Jennifer N. & Stanton, Richard & Wallace, Nancy, 2010. "Optimal exercise of executive stock options and implications for firm cost," Journal of Financial Economics, Elsevier, vol. 98(2), pages 315-337, November.
  21. Jamal Amani Rad & Kourosh Parand & Saeid Abbasbandy, 2014. "Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options," Papers 1412.6063, arXiv.org.
  22. Riadh Belhaj, 2006. "The Valuation of Options on Bonds with Default Risk," Multinational Finance Journal, Multinational Finance Journal, vol. 10(3-4), pages 277-306, September.
  23. Massimo Costabile & Arturo Leccadito & Ivar Massabó, 2009. "Computationally simple lattice methods for option and bond pricing," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(2), pages 161-181, November.
  24. Yuan Hu & W. Brent Lindquist & Svetlozar T. Rachev & Frank J. Fabozzi, 2023. "Option pricing using a skew random walk pricing tree," Papers 2303.17014, arXiv.org.
  25. Barone-Adesi, Giovanni, 2005. "The saga of the American put," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2909-2918, November.
  26. Ben-Ameur, Hatem & de Frutos, Javier & Fakhfakh, Tarek & Diaby, Vacaba, 2013. "Upper and lower bounds for convex value functions of derivative contracts," Economic Modelling, Elsevier, vol. 34(C), pages 69-75.
  27. Jou, Jyh-Bang, 2018. "R&D investment and patent renewal decisions," The Quarterly Review of Economics and Finance, Elsevier, vol. 69(C), pages 144-154.
  28. Yu-Fu Chen & Michael Funke & Nicole Glanemann, 2011. "Dark Clouds or Silver Linings? Knightian Uncertainty and Climate Change," CESifo Working Paper Series 3516, CESifo.
  29. Hongshan Li & Zhongyi Huang, 2020. "An iterative splitting method for pricing European options under the Heston model," Papers 2003.12934, arXiv.org.
  30. Jinqiang Yang & Zhaojun Yang, 2012. "Arbitrage-free interval and dynamic hedging in an illiquid market," Quantitative Finance, Taylor & Francis Journals, vol. 13(7), pages 1029-1039, May.
  31. Collan, Mikael, 2004. "Giga-Investments: Modelling the Valuation of Very Large Industrial Real Investments," MPRA Paper 4328, University Library of Munich, Germany.
  32. Myers, Stewart C. & Majd, Saman., 1983. "Calculating abandonment value using option pricing theory," Working papers 1462-83., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  33. Mark Rubinstein., 2000. "On the Relation Between Binomial and Trinomial Option Pricing Models," Research Program in Finance Working Papers RPF-292, University of California at Berkeley.
  34. 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.
  35. Grant, Dwight & Vora, Gautam, 2003. "Analytical implementation of the Ho and Lee model for the short interest rate," Global Finance Journal, Elsevier, vol. 14(1), pages 19-47, May.
  36. Chen, Yu-Fu & Zoega, Gylfi, 2010. "An essay on the generational effect of employment protection," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 349-359, May.
  37. Gong, Pu & Zou, Dong & Wang, Jiayue, 2018. "Pricing and simulation for real estate index options: Radial basis point interpolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 177-188.
  38. Schmeiser, H. & Wagner, J., 2011. "A joint valuation of premium payment and surrender options in participating life insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 580-596.
  39. Stylianos Perrakis & Rui Zhong, 2017. "Liquidity Risk and Volatility Risk in Credit Spread Models: A Unified Approach," European Financial Management, European Financial Management Association, vol. 23(5), pages 873-901, October.
  40. Lander, Diane M. & Pinches, George E., 1998. "Challenges to the Practical Implementation of Modeling and Valuing Real Options," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 537-567.
  41. repec:dun:dpaper:96 is not listed on IDEAS
  42. A. Golbabai & E. Mohebianfar, 2017. "A New Stable Local Radial Basis Function Approach for Option Pricing," Computational Economics, Springer;Society for Computational Economics, vol. 49(2), pages 271-288, February.
  43. Nigel Clarke & Kevin Parrott, 1999. "Multigrid for American option pricing with stochastic volatility," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(3), pages 177-195.
  44. Golbabai, Ahmad & Mohebianfar, Ehsan, 2017. "A new method for evaluating options based on multiquadric RBF-FD method," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 130-141.
  45. Huimin Yao & Frederik Pretorius, 2014. "Demand Uncertainty, Development Timing and Leasehold Land Valuation: Empirical Testing of Real Options in Residential Real Estate Development," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 42(4), pages 829-868, December.
  46. Yu-Fu Chen & Gylfi Zoega, 1999. "Firing The Young Or The Old: A Non-perpetual Real Options Analysis," Dundee Discussion Papers in Economics 096, Economic Studies, University of Dundee.
  47. Andras Prekopa & Tam�s Sz�ntai, 2010. "On the analytical-numerical valuation of the Bermudan and American options," Quantitative Finance, Taylor & Francis Journals, vol. 10(1), pages 59-74.
  48. Cassimon, D. & Engelen, P.J. & Thomassen, L. & Van Wouwe, M., 2007. "Closed-form valuation of American call options on stocks paying multiple dividends," Finance Research Letters, Elsevier, vol. 4(1), pages 33-48, March.
  49. McGoun, Elton G., 2003. "Finance models as metaphors," International Review of Financial Analysis, Elsevier, vol. 12(4), pages 421-433.
  50. Philipp N. Baecker, 2007. "Real Options and Intellectual Property," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-48264-2, October.
  51. Murillas Maza, Arantza, 2000. "Uncertainty and Real Options. Investment and Development of Fishing Resources (II)," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
  52. Chung-Gee Lin & Yu-Shan Wang, 2012. "Evaluating natural resource projects with embedded options and limited reserves," Applied Economics, Taylor & Francis Journals, vol. 44(12), pages 1471-1482, April.
  53. Saman Majd & Robert S. Pindyck, 1989. "The Learning Curve and Optimal Production under Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 20(3), pages 331-343, Autumn.
  54. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
  55. S. Dyrting, 2004. "Pricing equity options everywhere," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 663-676.
  56. Ghulam Sorwar, 2005. "Implied derivative security prices based two-factor interest model: a UK application," Applied Financial Economics, Taylor & Francis Journals, vol. 15(10), pages 739-744.
  57. Dimitrakopoulos, Roussos G. & Abdel Sabour, Sabry A., 2007. "Evaluating mine plans under uncertainty: Can the real options make a difference?," Resources Policy, Elsevier, vol. 32(3), pages 116-125, September.
  58. Benhamou, Eric & Duguet, Alexandre, 2003. "Small dimension PDE for discrete Asian options," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2095-2114.
  59. Junkee Jeon & Geonwoo Kim, 2022. "Analytic Valuation Formula for American Strangle Option in the Mean-Reversion Environment," Mathematics, MDPI, vol. 10(15), pages 1-19, July.
  60. Li, Nan & Wang, Song & Zhang, Kai, 2022. "Price options on investment project expansion under commodity price and volatility uncertainties using a novel finite difference method," Applied Mathematics and Computation, Elsevier, vol. 421(C).
  61. Chen, Andrew H., 2002. "A new perspective on infrastructure financing in Asia," Pacific-Basin Finance Journal, Elsevier, vol. 10(3), pages 227-242, June.
  62. Frimpong, Samuel & Whiting, Jerry M, 1997. "Derivative mine valuation: strategic investment decisions in competitive markets," Resources Policy, Elsevier, vol. 23(4), pages 163-171, December.
  63. Lin, Chung-Gee & Yang, Wei-Ning & Chen, Shu-Chuan, 2014. "Analyses of retirement benefits with options," Economic Modelling, Elsevier, vol. 36(C), pages 130-135.
  64. Jeffrey MacKie-Mason, 1988. "Nonlinear Taxation of Risky Assets and Investment, With Application to Mining," NBER Working Papers 2631, National Bureau of Economic Research, Inc.
  65. E. Philip Jones & Scott P. Mason & Eric Rosenfeld, 1983. "Contingent Claims Valuation of Corporate Liabilities: Theory and Empirical Tests," NBER Working Papers 1143, National Bureau of Economic Research, Inc.
  66. Manuel Moreno & Javier Navas, 2003. "On the Robustness of Least-Squares Monte Carlo (LSM) for Pricing American Derivatives," Review of Derivatives Research, Springer, vol. 6(2), pages 107-128, May.
  67. Dangl, Thomas & Wirl, Franz, 2004. "Investment under uncertainty: calculating the value function when the Bellman equation cannot be solved analytically," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1437-1460, April.
  68. Mahmoud A. Eissa & Boping Tian, 2017. "Lobatto-Milstein Numerical Method in Application of Uncertainty Investment of Solar Power Projects," Energies, MDPI, vol. 10(1), pages 1-19, January.
  69. Frontczak, Robert & Schöbel, Rainer, 2009. "On modified Mellin transforms, Gauss-Laguerre quadrature, and the valuation of American call options," Tübinger Diskussionsbeiträge 320, University of Tübingen, School of Business and Economics.
  70. 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.
  71. Rad, Jamal Amani & Parand, Kourosh & Ballestra, Luca Vincenzo, 2015. "Pricing European and American options by radial basis point interpolation," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 363-377.
  72. Song-Ping Zhu & Xin-Jiang He, 2018. "A hybrid computational approach for option pricing," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 1-16, September.
  73. Takami, Marcelo Yoshio & Tabak, Benjamin Miranda, 2008. "Interest rate option pricing and volatility forecasting: An application to Brazil," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 755-763.
  74. Li, Hongshan & Huang, Zhongyi, 2020. "An iterative splitting method for pricing European options under the Heston model☆," Applied Mathematics and Computation, Elsevier, vol. 387(C).
  75. Kyungwon Kim & Jae Wook Song, 2020. "Detecting Possible Reduction of the Housing Bubble in Korea for Different Residential Types and Regions," Sustainability, MDPI, vol. 12(3), pages 1-31, February.
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