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Valuing American Options by Simulation: A Simple Least-Squares Approach

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Cited by:

  1. Christian Hilpert, 2020. "The Effect of Risk Aversion and Loss Aversion on Equity‐Linked Life Insurance With Surrender Guarantees," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 87(3), pages 665-687, September.
  2. Kathrin Glau & Ricardo Pachon & Christian Potz, 2019. "Fast Calculation of Credit Exposures for Barrier and Bermudan options using Chebyshev interpolation," Papers 1905.00238, arXiv.org.
  3. Kathrin Glau & Mirco Mahlstedt & Christian Potz, 2018. "A new approach for American option pricing: The Dynamic Chebyshev method," Papers 1806.05579, arXiv.org.
  4. Xiao,Tim, 2018. "Pricing Financial Derivatives Subject to Multilateral Credit Risk and Collateralization," EconStor Preprints 202075, ZBW - Leibniz Information Centre for Economics.
  5. Christopher Beveridge & Mark Joshi, 2011. "Monte Carlo Bounds for Game Options Including Convertible Bonds," Management Science, INFORMS, vol. 57(5), pages 960-974, May.
  6. Eickholt, Mathias & Entrop, Oliver & Wilkens, Marco, 2014. "What makes individual investors exercise early? Empirical evidence from the fixed-income market," Passauer Diskussionspapiere, Betriebswirtschaftliche Reihe 15, University of Passau, Faculty of Business and Economics.
  7. M. Briani & L. Caramellino & A. Zanette, 2015. "A hybrid tree/finite-difference approach for Heston-Hull-White type models," Papers 1503.03705, arXiv.org, revised Dec 2017.
  8. Zhou, Zhengqing & Wang, Guanyang & Blanchet, Jose H. & Glynn, Peter W., 2023. "Unbiased Optimal Stopping via the MUSE," Stochastic Processes and their Applications, Elsevier, vol. 166(C).
  9. Julien Vedani & Laurent Devineau, 2012. "Solvency assessment within the ORSA framework: issues and quantitative methodologies," Working Papers hal-00744351, HAL.
  10. Kyungcheol Shin & Jinyeong Lee, 2024. "Investment Decision for Long-Term Battery Energy Storage System Using Least Squares Monte Carlo," Energies, MDPI, vol. 17(9), pages 1-15, April.
  11. Bertrand Tavin & Lorenz Schneider, 2018. "From the Samuelson volatility effect to a Samuelson correlation effect : An analysis of crude oil calendar spread options," Post-Print hal-02311970, HAL.
  12. Francisco G'omez Casanova & 'Alvaro Leitao & Fernando de Lope Contreras & Carlos V'azquez, 2024. "Deep Joint Learning valuation of Bermudan Swaptions," Papers 2404.11257, arXiv.org.
  13. Zineb El Filali Ech-Chafiq & Pierre Henry Labordère & Jérôme Lelong, 2023. "Pricing Bermudan options using regression trees/random forests," Post-Print hal-03436046, HAL.
  14. Ihli, Hanna Julia & Maart, Syster Christin & Musshoff, Oliver, 2012. "Investment and Disinvestment in Irrigation Technology – An Experimental Analysis of Farmers’ Decision Behavior –," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124532, Agricultural and Applied Economics Association.
  15. Andrés Mirantes & Javier Población & Gregorio Serna, 2015. "Commodity derivative valuation under a factor model with time-varying market prices of risk," Review of Derivatives Research, Springer, vol. 18(1), pages 75-93, April.
  16. Pedro Godinho, 2006. "Monte Carlo Estimation of Project Volatility for Real Options Analysis," GEMF Working Papers 2006-01, GEMF, Faculty of Economics, University of Coimbra.
  17. Raoul Pietersz & Antoon Pelsser, 2010. "A comparison of single factor Markov-functional and multi factor market models," Review of Derivatives Research, Springer, vol. 13(3), pages 245-272, October.
  18. Beliaeva, Natalia & Nawalkha, Sanjay, 2012. "Pricing American interest rate options under the jump-extended constant-elasticity-of-variance short rate models," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 151-163.
  19. Yingming Ge & Lingfei Li & Gongqiu Zhang, 2022. "A Fourier Transform Method for Solving Backward Stochastic Differential Equations," Methodology and Computing in Applied Probability, Springer, vol. 24(1), pages 385-412, March.
  20. Roger J. A. Laeven & John G. M. Schoenmakers & Nikolaus F. F. Schweizer & Mitja Stadje, 2020. "Robust Multiple Stopping -- A Pathwise Duality Approach," Papers 2006.01802, arXiv.org, revised Sep 2021.
  21. Denis Belomestny & Fabian Dickmann & Tigran Nagapetyan, 2013. "Pricing American options via multi-level approximation methods," Papers 1303.1334, arXiv.org, revised Dec 2013.
  22. Nicola Cantarutti & Jo~ao Guerra, 2016. "Multinomial method for option pricing under Variance Gamma," Papers 1701.00112, arXiv.org, revised Feb 2018.
  23. Zbigniew Palmowski & Tomasz Serafin, 2020. "A Note on Simulation Pricing of π -Options," Risks, MDPI, vol. 8(3), pages 1-19, August.
  24. Ioannis Exarchos & Evangelos Theodorou & Panagiotis Tsiotras, 2019. "Stochastic Differential Games: A Sampling Approach via FBSDEs," Dynamic Games and Applications, Springer, vol. 9(2), pages 486-505, June.
  25. 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.
  26. Michael W. Brandt & Amit Goyal & Pedro Santa-Clara & Jonathan R. Stroud, 2005. "A Simulation Approach to Dynamic Portfolio Choice with an Application to Learning About Return Predictability," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 831-873.
  27. Azimi, Yousuf & Osanloo, Morteza & Esfahanipour, Akbar, 2013. "An uncertainty based multi-criteria ranking system for open pit mining cut-off grade strategy selection," Resources Policy, Elsevier, vol. 38(2), pages 212-223.
  28. Assereto, Martina & Byrne, Julie, 2021. "No real option for solar in Ireland: A real option valuation of utility scale solar investment in Ireland," Renewable and Sustainable Energy Reviews, Elsevier, vol. 143(C).
  29. Anders B. Trolle & Eduardo S. Schwartz, 2009. "Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4423-4461, November.
  30. Juri Hinz & Tanya Tarnopolskaya & Jeremy Yee, 2020. "Efficient algorithms of pathwise dynamic programming for decision optimization in mining operations," Annals of Operations Research, Springer, vol. 286(1), pages 583-615, March.
  31. 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.
  32. Michael Kohler, 2008. "A regression-based smoothing spline Monte Carlo algorithm for pricing American options in discrete time," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 92(2), pages 153-178, May.
  33. Claus Baumgart & Johannes Krebs & Robert Lempertseder & Oliver Pfaffel, 2019. "Quantifying Life Insurance Risk using Least-Squares Monte Carlo," Papers 1910.03951, arXiv.org.
  34. Schachter, J.A. & Mancarella, P., 2016. "A critical review of Real Options thinking for valuing investment flexibility in Smart Grids and low carbon energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 261-271.
  35. Djerry C. Tandja M. & Gabriel J. Power & Josée Bastien, 2018. "Real Option Valuation in a Gollier/Weitzman World: The Effect of Long-Run Discount Rate Uncertainty," The Energy Journal, , vol. 39(5), pages 21-54, September.
  36. Gilles Pages & Olivier Pironneau & Guillaume Sall, 2015. "Vibrato and Automatic Differentiation for High Order Derivatives and Sensitivities of Financial Options," Working Papers hal-01234637, HAL.
  37. Leonardo Kanashiro Felizardo & Elia Matsumoto & Emilio Del-Moral-Hernandez, 2022. "Solving the optimal stopping problem with reinforcement learning: an application in financial option exercise," Papers 2208.00765, arXiv.org.
  38. 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.
  39. Ihli, Hanna Julia & Musshoff, Oliver, 2013. "Understanding the Investment Behavior of Ugandan Smallholder Farmers: An Experimental Analysis," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150331, Agricultural and Applied Economics Association.
  40. 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.
  41. Rongju Zhang & Nicolas Langren'e & Yu Tian & Zili Zhu & Fima Klebaner & Kais Hamza, 2017. "Skewed target range strategy for multiperiod portfolio optimization using a two-stage least squares Monte Carlo method," Papers 1704.00416, arXiv.org, revised Jun 2019.
  42. Rojas-Bernal, Alejandro & Villamizar-Villegas, Mauricio, 2021. "Pricing the exotic: Path-dependent American options with stochastic barriers," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 2(1).
  43. Young Shin Kim, 2021. "Sample Path Generation of the Stochastic Volatility CGMY Process and Its Application to Path-Dependent Option Pricing," JRFM, MDPI, vol. 14(2), pages 1-18, February.
  44. Seiji Harikae & James S. Dyer & Tianyang Wang, 2021. "Valuing Real Options in the Volatile Real World," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 171-189, January.
  45. Marie Bernhart & Peter Tankov & Xavier Warin, 2010. "A finite dimensional approximation for pricing moving average options," Papers 1011.3599, arXiv.org.
  46. Bastian Felix & Oliver Woll & Christoph Weber, 2013. "Gas storage valuation under limited market liquidity: an application in Germany," The European Journal of Finance, Taylor & Francis Journals, vol. 19(7-8), pages 715-733, September.
  47. Mike Ludkovski, 2022. "Regression Monte Carlo for Impulse Control," Papers 2203.06539, arXiv.org.
  48. Michael A. Kouritzin, 2016. "Explicit Heston Solutions and Stochastic Approximation for Path-dependent Option Pricing," Papers 1608.02028, arXiv.org, revised Apr 2018.
  49. Farid AitSahlia & Manisha Goswami & Suchandan Guha, 2010. "American option pricing under stochastic volatility: an empirical evaluation," Computational Management Science, Springer, vol. 7(2), pages 189-206, April.
  50. Weihan Li & Jin E. Zhang & Xinfeng Ruan & Pakorn Aschakulporn, 2024. "An empirical study on the early exercise premium of American options: Evidence from OEX and XEO options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(7), pages 1117-1153, July.
  51. Shun Chen & Shiyuan Zheng & Qiang Zhang, 2018. "Investment decisions under uncertainty on LNG-powered vessels for environmental compliance," Journal of Shipping and Trade, Springer, vol. 3(1), pages 1-19, December.
  52. T. van der Zwaard & L. A. Grzelak & C. W. Oosterlee, 2024. "On the Hull-White model with volatility smile for Valuation Adjustments," Papers 2403.14841, arXiv.org.
  53. Denis Belomestny & Maxim Kaledin & John Schoenmakers, 2020. "Semitractability of optimal stopping problems via a weighted stochastic mesh algorithm," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1591-1616, October.
  54. Dmitry Lesnik, 2015. "Intrinsic Storage Valuation by Variational Analysis," Papers 1506.06979, arXiv.org.
  55. Abadie, Luis M. & Goicoechea, Nestor, 2022. "Optimal management of a mega pumped hydro storage system under stochastic hourly electricity prices in the Iberian Peninsula," Energy, Elsevier, vol. 252(C).
  56. Jiarui Han & Tze Lai & Viktor Spivakovsky, 2006. "Approximate Policy Optimization and Adaptive Control in Regression Models," Computational Economics, Springer;Society for Computational Economics, vol. 27(4), pages 433-452, June.
  57. Luis M. Abadie & José M. Chamorro, 2009. "Monte Carlo valuation of natural gas investments," Review of Financial Economics, John Wiley & Sons, vol. 18(1), pages 10-22, January.
  58. Jacek Białek, 2014. "Proposition of Stochastic Postulates for Chain Indices," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(4), pages 545-558, September.
  59. Giovanni Villani, 2022. "A Neural Network Approach to Value R&D Compound American Exchange Option," Computational Economics, Springer;Society for Computational Economics, vol. 60(1), pages 305-324, June.
  60. Zhen, Zaili & Lou, Liyun & Tian, Lixin & Gao, Qibing, 2018. "Investment optimization path of NG power generation in China based on carbon value realization and market linkage," Applied Energy, Elsevier, vol. 210(C), pages 241-255.
  61. Chen, Ze & Chen, Bingzheng & Dhaene, Jan & Yang, Tianyu, 2021. "Fair dynamic valuation of insurance liabilities via convex hedging," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 1-13.
  62. Magnus Grønnegaard Frandsen & Tobias Cramer Pedersen & Rolf Poulsen, 2022. "Delta force: option pricing with differential machine learning," Digital Finance, Springer, vol. 4(1), pages 1-15, March.
  63. Chen, Ding & Härkönen, Hannu J. & Newton, David P., 2014. "Advancing the universality of quadrature methods to any underlying process for option pricing," Journal of Financial Economics, Elsevier, vol. 114(3), pages 600-612.
  64. Jian-Lei Mo & Lei Zhu, 2014. "Using Floor Price Mechanisms to Promote Carbon Capture and Storage (Ccs) Investment and Co2 Abatement," Energy & Environment, , vol. 25(3-4), pages 687-707, April.
  65. Samuel N. Cohen & Derek Snow & Lukasz Szpruch, 2021. "Black-box model risk in finance," Papers 2102.04757, arXiv.org.
  66. Thompson, Matt, 2016. "Natural gas storage valuation, optimization, market and credit risk management," Journal of Commodity Markets, Elsevier, vol. 2(1), pages 26-44.
  67. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Other publications TiSEM fe8a8df6-455f-4624-af10-9, Tilburg University, School of Economics and Management.
  68. Xu Guo & Yutian Li, 2016. "Valuation of American options under the CGMY model," Quantitative Finance, Taylor & Francis Journals, vol. 16(10), pages 1529-1539, October.
  69. Maier, Sebastian & Pflug, Georg C. & Polak, John W., 2020. "Valuing portfolios of interdependent real options under exogenous and endogenous uncertainties," European Journal of Operational Research, Elsevier, vol. 285(1), pages 133-147.
  70. Lung-Fu Chang & Mao-Wei Hung, 2006. "Valuation of vulnerable American options with correlated credit risk," Review of Derivatives Research, Springer, vol. 9(2), pages 137-165, September.
  71. Svenstrup, Mikkel, 2003. "On the Suboptimality of Single-Factor Exercise Strategies for Bermudan Swaptions," Finance Working Papers 02-24, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  72. Jain, Shashi & Roelofs, Ferry & Oosterlee, Cornelis W., 2013. "Valuing modular nuclear power plants in finite time decision horizon," Energy Economics, Elsevier, vol. 36(C), pages 625-636.
  73. Seyed Amir Hejazi & Kenneth R. Jackson, 2016. "A Neural Network Approach to Efficient Valuation of Large Portfolios of Variable Annuities," Papers 1606.07831, arXiv.org.
  74. Gamba, Andrea & Rigon, Riccardo, 2008. "The value of embedded real options: Evidence from consumer automobile lease contracts--A note," Finance Research Letters, Elsevier, vol. 5(4), pages 213-220, December.
  75. Kevin Aretz & Ming-Tsung Lin & Ser-Huang Poon, 2023. "Moneyness, Underlying Asset Volatility, and the Cross-Section of Option Returns," Review of Finance, European Finance Association, vol. 27(1), pages 289-323.
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  78. Carmona, Julio & León, Angel & Vaello-Sebastià, Antoni, 2011. "Pricing executive stock options under employment shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 97-114, January.
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