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Numerical Valuation of High Dimensional Multivariate American Securities

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  1. Chiarella, Carl & Clewlow, Les & Musti, Silvana, 2005. "A volatility decomposition control variate technique for Monte Carlo simulations of Heath Jarrow Morton models," European Journal of Operational Research, Elsevier, vol. 161(2), pages 325-336, March.
  2. Didier Cossin & Benoît Leleux & Entela Saliasi, 2002. "Understanding the Economic Value of Legal Covenants in Investment Contracts: A Real-Options Approach to Venture Equity Contracts," Swiss Finance Institute Research Paper Series rp63, Swiss Finance Institute.
  3. Ernst, Philip A. & Rogers, L.C.G. & Zhou, Quan, 2017. "The value of foresight," Stochastic Processes and their Applications, Elsevier, vol. 127(12), pages 3913-3927.
  4. Zbigniew Palmowski & Tomasz Serafin, 2020. "A Note on Simulation Pricing of π -Options," Risks, MDPI, vol. 8(3), pages 1-19, August.
  5. R. Mark Reesor & T. James Marshall, 2020. "Forest of Stochastic Trees: A Method for Valuing Multiple Exercise Options," JRFM, MDPI, vol. 13(5), pages 1-31, May.
  6. Jin, Xing & Li, Xun & Tan, Hwee Huat & Wu, Zhenyu, 2013. "A computationally efficient state-space partitioning approach to pricing high-dimensional American options via dimension reduction," European Journal of Operational Research, Elsevier, vol. 231(2), pages 362-370.
  7. Berridge, S.J. & Schumacher, J.M., 2002. "An Irregular Grid Approach for Pricing High Dimensional American Options," Discussion Paper 2002-99, Tilburg University, Center for Economic Research.
  8. Tsyplakov, Sergey, 2008. "Investment frictions and leverage dynamics," Journal of Financial Economics, Elsevier, vol. 89(3), pages 423-443, September.
  9. Cortazar, Gonzalo & Schwartz, Eduardo S., 1998. "Monte Carlo evaluation model of an undeveloped oil field," Journal of Energy Finance & Development, Elsevier, vol. 3(1), pages 73-84.
  10. Georges Dionne & Geneviève Gauthier & Nadia Ouertani, 2009. "Basket Options on Heterogeneous Underlying Assets," Cahiers de recherche 0918, CIRPEE.
  11. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2008. "Simulation-based pricing of convertible bonds," Journal of Empirical Finance, Elsevier, vol. 15(2), pages 310-331, March.
  12. Jérôme Detemple, 2014. "Optimal Exercise for Derivative Securities," Annual Review of Financial Economics, Annual Reviews, vol. 6(1), pages 459-487, December.
  13. Martzoukos, Spiros H., 2001. "The option on n assets with exchange rate and exercise price risk," Journal of Multinational Financial Management, Elsevier, vol. 11(1), pages 1-15, February.
  14. Vladislav Kargin, 2005. "Lattice Option Pricing By Multidimensional Interpolation," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 635-647, October.
  15. Jin, Xing & Yang, Cheng-Yu, 2016. "Efficient estimation of lower and upper bounds for pricing higher-dimensional American arithmetic average options by approximating their payoff functions," International Review of Financial Analysis, Elsevier, vol. 44(C), pages 65-77.
  16. Calypso Herrera & Louis Paulot, 2014. "Parallel American Monte Carlo," Papers 1404.1180, arXiv.org.
  17. Bally Vlad & Caramellino Lucia & Zanette Antonino, 2005. "Pricing and hedging American options by Monte Carlo methods using a Malliavin calculus approach," Monte Carlo Methods and Applications, De Gruyter, vol. 11(2), pages 97-133, June.
  18. Rombouts, Jeroen V.K. & Stentoft, Lars, 2011. "Multivariate option pricing with time varying volatility and correlations," Journal of Banking & Finance, Elsevier, vol. 35(9), pages 2267-2281, September.
  19. Pizzi Claudio & Pellizzari Paolo, 2002. "Monte Carlo Pricing of American Options Using Nonparametric Regression," Finance 0207007, University Library of Munich, Germany, revised 04 Mar 2003.
  20. Georges Dionne & Genevieve Gauthier & Nadia Ouertani & Nabil Tahani, 2011. "Heterogeneous Basket Options Pricing Using Analytical Approximations," Multinational Finance Journal, Multinational Finance Journal, vol. 15(1-2), pages 47-85, March - J.
  21. Calypso Herrera & Florian Krach & Pierre Ruyssen & Josef Teichmann, 2021. "Optimal Stopping via Randomized Neural Networks," Papers 2104.13669, arXiv.org, revised Dec 2023.
  22. Hazra, Tanmoy & Samanta, Biswajit & Dey, Kaushik, 2019. "Real option valuation of an Indian iron ore deposit through system dynamics model," Resources Policy, Elsevier, vol. 60(C), pages 288-299.
  23. Flavia Cortelezzi & Giovanni Villani, 2009. "Valuation of R&D Sequential Exchange Options Using Monte Carlo Approach," Computational Economics, Springer;Society for Computational Economics, vol. 33(3), pages 209-236, April.
  24. San-Lin Chung & Mark Shackleton, 2005. "On the use and improvement of Hull and White's control variate technique," Applied Financial Economics, Taylor & Francis Journals, vol. 15(16), pages 1171-1179.
  25. Christian Bayer & Juho Happola & Ra'ul Tempone, 2017. "Implied Stopping Rules for American Basket Options from Markovian Projection," Papers 1705.00558, arXiv.org, revised Jun 2017.
  26. Ben-Ameur, Hatem & Breton, Michele & Karoui, Lotfi & L'Ecuyer, Pierre, 2007. "A dynamic programming approach for pricing options embedded in bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2212-2233, July.
  27. Jin-Chuan Duan & Geneviève Gauthier & Jean-Guy Simonato, 2001. "Asymptotic Distribution of the EMS Option Price Estimator," Management Science, INFORMS, vol. 47(8), pages 1122-1132, August.
  28. Chen Liu & Henry Schellhorn & Qidi Peng, 2019. "American Option Pricing With Regression: Convergence Analysis," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(08), pages 1-31, December.
  29. Zbigniew Palmowski & Tomasz Serafin, 2020. "Note on simulation pricing of $\pi$-options," Papers 2007.02076, arXiv.org, revised Aug 2020.
  30. Peter Christoffersen & Kris Jacobs & Chayawat Ornthanalai, 2012. "GARCH Option Valuation: Theory and Evidence," CREATES Research Papers 2012-50, Department of Economics and Business Economics, Aarhus University.
  31. Jiawei Huo, 2023. "Finite Difference Solution Ansatz approach in Least-Squares Monte Carlo," Papers 2305.09166, arXiv.org, revised Nov 2023.
  32. JC Ndogmo, 2008. "Some Control Variates for exotic options," Papers 0806.4675, arXiv.org.
  33. Garcia, Diego, 2003. "Convergence and Biases of Monte Carlo estimates of American option prices using a parametric exercise rule," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1855-1879, August.
  34. Duan, Jin-Chuan & Simonato, Jean-Guy, 2001. "American option pricing under GARCH by a Markov chain approximation," Journal of Economic Dynamics and Control, Elsevier, vol. 25(11), pages 1689-1718, November.
  35. Tommaso Paletta & Arturo Leccadito & Radu Tunaru, 2013. "Pricing and Hedging Basket Options with Exact Moment Matching," Papers 1312.4443, arXiv.org.
  36. 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.
  37. Berridge, S.J. & Schumacher, J.M., 2004. "Pricing High-Dimensional American Options Using Local Consistency Conditions," Discussion Paper 2004-19, Tilburg University, Center for Economic Research.
  38. 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.
  39. Zhu, Lei & Zhang, ZhongXiang & Fan, Ying, 2015. "Overseas oil investment projects under uncertainty: How to make informed decisions?," Journal of Policy Modeling, Elsevier, vol. 37(5), pages 742-762.
  40. Daniel Wei-Chung Miao & Yung-Hsin Lee & Jr-Yan Wang, 2018. "Using forward Monte-Carlo simulation for the valuation of American barrier options," Annals of Operations Research, Springer, vol. 264(1), pages 339-366, May.
  41. Augusto Castillo, 2004. "Firm and Corporate Bond Valuation: A Simulation Dynamic Programming Approach," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 41(124), pages 345-360.
  42. Sebastian Becker & Patrick Cheridito & Arnulf Jentzen, 2020. "Pricing and Hedging American-Style Options with Deep Learning," JRFM, MDPI, vol. 13(7), pages 1-12, July.
  43. Ivan Guo & Nicolas Langren'e & Jiahao Wu, 2023. "Simultaneous upper and lower bounds of American option prices with hedging via neural networks," Papers 2302.12439, arXiv.org.
  44. Tomáš Tichý, 2008. "Posouzení vybraných možností zefektivnění simulace Monte Carlo při opčním oceňování [Examination of selected improvement approaches to Monte Carlo simulation in option pricing]," Politická ekonomie, Prague University of Economics and Business, vol. 2008(6), pages 772-794.
  45. Jin-Chuan Duan & Jean-Guy Simonato, 1998. "Empirical Martingale Simulation for Asset Prices," Management Science, INFORMS, vol. 44(9), pages 1218-1233, September.
  46. Chuang-Chang Chang & Chueh-Yung Tsao, 2011. "Efficient and accurate quadratic approximation methods for pricing Asian strike options," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 729-748.
  47. A. -S. Chen & P. -F. Shen, 2003. "Computational complexity analysis of least-squares Monte Carlo (LSM) for pricing US derivatives," Applied Economics Letters, Taylor & Francis Journals, vol. 10(4), pages 223-229.
  48. Giacomo Bormetti & Giorgia Callegaro & Giulia Livieri & Andrea Pallavicini, 2015. "A backward Monte Carlo approach to exotic option pricing," Papers 1511.00848, arXiv.org.
  49. Jain, Shashi & Oosterlee, Cornelis W., 2015. "The Stochastic Grid Bundling Method: Efficient pricing of Bermudan options and their Greeks," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 412-431.
  50. Anne Laure Bronstein & Gilles Pagès & Jacques Portès, 2013. "Multi-asset American Options and Parallel Quantization," Methodology and Computing in Applied Probability, Springer, vol. 15(3), pages 547-561, September.
  51. Phelim P. Boyle & Adam W. Kolkiewicz & Ken Seng Tan, 2013. "Pricing Bermudan options using low-discrepancy mesh methods," Quantitative Finance, Taylor & Francis Journals, vol. 13(6), pages 841-860, May.
  52. Leif Andersen & Mark Broadie, 2004. "Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options," Management Science, INFORMS, vol. 50(9), pages 1222-1234, September.
  53. Huicong Zhong & Xiaobing Feng, 2023. "An Efficient and Fast Sparse Grid Algorithm for High-Dimensional Numerical Integration," Mathematics, MDPI, vol. 11(19), pages 1-26, October.
  54. E Saliby & R J Paul, 2009. "A farewell to the use of antithetic variates in Monte Carlo simulation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(7), pages 1026-1035, July.
  55. Boyle, Phelim & Broadie, Mark & Glasserman, Paul, 1997. "Monte Carlo methods for security pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1267-1321, June.
  56. Olivier Aj Bardou & Sandrine Bouthemy & Gilles Pag`es, 2007. "Optimal quantization for the pricing of swing options," Papers 0705.2110, arXiv.org.
  57. 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.
  58. Fehle, Frank & Tsyplakov, Sergey, 2005. "Dynamic risk management: Theory and evidence," Journal of Financial Economics, Elsevier, vol. 78(1), pages 3-47, October.
  59. Ng, Andrew C.Y. & Li, Johnny Siu-Hang & Chan, Wai-Sum, 2013. "Pricing options on stocks denominated in different currencies: Theory and illustrations," The North American Journal of Economics and Finance, Elsevier, vol. 26(C), pages 339-354.
  60. Ravi Kashyap, 2022. "Options as Silver Bullets: Valuation of Term Loans, Inventory Management, Emissions Trading and Insurance Risk Mitigation using Option Theory," Annals of Operations Research, Springer, vol. 315(2), pages 1175-1215, August.
  61. Andr�s Garc�a Mirantes & Javier Población & Gregorio Serna, 2012. "Analyzing the dynamics of the refining margin: implications for valuation and hedging," Quantitative Finance, Taylor & Francis Journals, vol. 12(12), pages 1839-1855, December.
  62. Ingo Beyna, 2013. "Interest Rate Derivatives," Lecture Notes in Economics and Mathematical Systems, Springer, edition 127, number 978-3-642-34925-6, December.
  63. Jian Liang & Zhe Xu & Peter Li, 2019. "Deep Learning-Based Least Square Forward-Backward Stochastic Differential Equation Solver for High-Dimensional Derivative Pricing," Papers 1907.10578, arXiv.org, revised Oct 2020.
  64. Mark Broadie & Jerome B. Detemple, 2004. "ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications," Management Science, INFORMS, vol. 50(9), pages 1145-1177, September.
  65. Sebastian Maier, 2021. "Re-evaluating natural resource investments under uncertainty: An alternative to limited traditional approaches," Annals of Operations Research, Springer, vol. 299(1), pages 907-937, April.
  66. Pringles, Rolando & Olsina, Fernando & Garcés, Francisco, 2015. "Real option valuation of power transmission investments by stochastic simulation," Energy Economics, Elsevier, vol. 47(C), pages 215-226.
  67. Yijuan Liang & Xiuchuan Xu, 2019. "Variance and Dimension Reduction Monte Carlo Method for Pricing European Multi-Asset Options with Stochastic Volatilities," Sustainability, MDPI, vol. 11(3), pages 1-21, February.
  68. Wei, Wei & Zhu, Dan, 2022. "Generic improvements to least squares monte carlo methods with applications to optimal stopping problems," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1132-1144.
  69. Marat Kramin & Saikat Nandi & Alexander Shulman, 2008. "A multi-factor Markovian HJM model for pricing American interest rate derivatives," Review of Quantitative Finance and Accounting, Springer, vol. 31(4), pages 359-378, November.
  70. Lukito Adi Nugroho, 2017. "Real options valuation of franchise territorial exclusivity," Cogent Business & Management, Taylor & Francis Journals, vol. 4(1), pages 1262490-126, January.
  71. Lars Stentoft, 2013. "American option pricing using simulation with an application to the GARCH model," Chapters, in: Adrian R. Bell & Chris Brooks & Marcel Prokopczuk (ed.), Handbook of Research Methods and Applications in Empirical Finance, chapter 5, pages 114-147, Edward Elgar Publishing.
  72. 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.
  73. Peter W. Duck & Chao Yang & David P. Newton & Martin Widdicks, 2009. "Singular Perturbation Techniques Applied To Multiasset Option Pricing," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 457-486, July.
  74. Robert H. Keeley & Sanjeev Punjabi & Lassaad Turki, 1996. "Valuation of Early-Stage Ventures: Option Valuation Models vs. Traditional Approaches," Journal of Entrepreneurial Finance, Pepperdine University, Graziadio School of Business and Management, vol. 5(2), pages 115-138, Summer.
  75. Mohammad Rahman Ardhiansyah & Tsuyoshi Adachi & Junichiro Oda, 2023. "Stratified state aggregation (SSA) approach in real option valuation: combining price and grade uncertainties in tin mining projects," Mineral Economics, Springer;Raw Materials Group (RMG);Luleå University of Technology, vol. 36(3), pages 371-381, September.
  76. Hatem Ben-Ameur & Michèle Breton, 2004. "A Dynamic Programming Approach for Pricing Options Embedded in Bonds," Computing in Economics and Finance 2004 237, Society for Computational Economics.
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  92. Ravi Kashyap, 2016. "Options as Silver Bullets: Valuation of Term Loans, Inventory Management, Emissions Trading and Insurance Risk Mitigation using Option Theory," Papers 1609.01274, arXiv.org, revised Mar 2022.
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