IDEAS home Printed from https://ideas.repec.org/r/bla/mathfi/v7y1997i1p1-71.html
   My bibliography  Save this item

Backward Stochastic Differential Equations in Finance

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as


Cited by:

  1. Andrew Lesniewski, 2020. "Epidemic control via stochastic optimal control," Papers 2004.06680, arXiv.org, revised May 2020.
  2. Masaaki Fujii & Akihiko Takahashi, 2016. "Solving Backward Stochastic Differential Equations with quadratic-growth drivers by Connecting the Short-term Expansions," Papers 1606.04285, arXiv.org, revised May 2018.
  3. Jiequn Han & Ruimeng Hu & Jihao Long, 2020. "Convergence of Deep Fictitious Play for Stochastic Differential Games," Papers 2008.05519, arXiv.org, revised Mar 2021.
  4. Tie Wang & Siyu Cui, 2022. "Anticipated Backward Doubly Stochastic Differential Equations with Non-Lipschitz Coefficients," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
  5. Shaolin Ji & Xiaomin Shi, 2016. "Explicit solutions for continuous time mean-variance portfolio selection with nonlinear wealth equations," Papers 1606.05488, arXiv.org.
  6. Teng, Long, 2022. "Gradient boosting-based numerical methods for high-dimensional backward stochastic differential equations," Applied Mathematics and Computation, Elsevier, vol. 426(C).
  7. 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.
  8. Kamma, Thijs & Pelsser, Antoon, 2022. "Near-optimal asset allocation in financial markets with trading constraints," European Journal of Operational Research, Elsevier, vol. 297(2), pages 766-781.
  9. Thibaut Mastrolia, 2017. "Moral hazard in welfare economics: on the advantage of Planner's advices to manage employees' actions," Working Papers hal-01504473, HAL.
  10. Julia Eisenberg & Stefan Kremsner & Alexander Steinicke, 2021. "Two Approaches for a Dividend Maximization Problem under an Ornstein-Uhlenbeck Interest Rate," Papers 2108.00234, arXiv.org.
  11. Wang, Tianxiao & Yong, Jiongmin, 2015. "Comparison theorems for some backward stochastic Volterra integral equations," Stochastic Processes and their Applications, Elsevier, vol. 125(5), pages 1756-1798.
  12. Kraft, Holger & Seiferling, Thomas & Seifried, Frank Thomas, 2016. "Optimal consumption and investment with Epstein-Zin recursive utility," SAFE Working Paper Series 52, Leibniz Institute for Financial Research SAFE, revised 2016.
  13. 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.
  14. Gregory Gagnon, 2019. "Vanishing central bank intervention in stochastic impulse control," Annals of Finance, Springer, vol. 15(1), pages 125-153, March.
  15. Yueyang Zheng & Jingtao Shi, 2020. "A Stackelberg Game of Backward Stochastic Differential Equations with Applications," Dynamic Games and Applications, Springer, vol. 10(4), pages 968-992, December.
  16. Richter, Anja, 2014. "Explicit solutions to quadratic BSDEs and applications to utility maximization in multivariate affine stochastic volatility models," Stochastic Processes and their Applications, Elsevier, vol. 124(11), pages 3578-3611.
  17. Antonelli, Fabio & Mancini, Carlo, 2016. "Solutions of BSDE’s with jumps and quadratic/locally Lipschitz generator," Stochastic Processes and their Applications, Elsevier, vol. 126(10), pages 3124-3144.
  18. Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
  19. Hyndman, Cody Blaine, 2007. "Forward-backward SDEs and the CIR model," Statistics & Probability Letters, Elsevier, vol. 77(17), pages 1676-1682, November.
  20. Kenichiro Shiraya & Akihiko Takahashi, 2016. "Price impacts of imperfect collateralization," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-31, March.
  21. Patrick Beissner & Qian Lin & Frank Riedel, 2020. "Dynamically consistent alpha‐maxmin expected utility," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 1073-1102, July.
  22. Fujii, Masaaki & Takahashi, Akihiko, 2018. "Quadratic–exponential growth BSDEs with jumps and their Malliavin’s differentiability," Stochastic Processes and their Applications, Elsevier, vol. 128(6), pages 2083-2130.
  23. Shengqiu Sun, 2024. "Doubly Reflected Backward Stochastic Differential Equations Driven by G-Brownian Motion with Uniformly Continuous Coefficients," Journal of Theoretical Probability, Springer, vol. 37(4), pages 2886-2911, November.
  24. Beissner, Patrick & Rosazza Gianin, Emanuela, 2018. "The Term Structure of Sharpe Ratios and Arbitrage-Free Asset Pricing in Continuous Time," Rationality and Competition Discussion Paper Series 72, CRC TRR 190 Rationality and Competition.
  25. Cohen, Samuel N. & Ji, Shaolin & Yang, Shuzhen, 2014. "A generalized Girsanov transformation of finite state stochastic processes in discrete time," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 33-39.
  26. Chong, Wing Fung, 2019. "Pricing and hedging equity-linked life insurance contracts beyond the classical paradigm: The principle of equivalent forward preferences," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 93-107.
  27. Suzuki, Masataka, 2016. "A representative agent asset pricing model with heterogeneous beliefs and recursive utility," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 298-315.
  28. Alessandro Gnoatto & Athena Picarelli & Christoph Reisinger, 2020. "Deep xVA solver -- A neural network based counterparty credit risk management framework," Papers 2005.02633, arXiv.org, revised Dec 2022.
  29. Shuhui Liu, 2024. "The Maximal and Minimal Distributions of Wealth Processes in Black–Scholes Markets," Mathematics, MDPI, vol. 12(10), pages 1-18, May.
  30. Soner, H. Mete & Touzi, Nizar & Zhang, Jianfeng, 2011. "Martingale representation theorem for the G-expectation," Stochastic Processes and their Applications, Elsevier, vol. 121(2), pages 265-287, February.
  31. Henry-Labordère, Pierre & Tan, Xiaolu & Touzi, Nizar, 2014. "A numerical algorithm for a class of BSDEs via the branching process," Stochastic Processes and their Applications, Elsevier, vol. 124(2), pages 1112-1140.
  32. Ling Wang & Mei Choi Chiu & Hoi Ying Wong, 2021. "Time-consistent mean-variance reinsurance-investment problem with long-range dependent mortality rate," Papers 2112.06602, arXiv.org.
  33. Suleyman Basak & Michael Gallmeyer, 1999. "Currency Prices, the Nominal Exchange Rate, and Security Prices in a Two‐Country Dynamic Monetary Equilibrium," Mathematical Finance, Wiley Blackwell, vol. 9(1), pages 1-30, January.
  34. Jakša Cvitanić & Dylan Possamaï & Nizar Touzi, 2017. "Moral Hazard in Dynamic Risk Management," Management Science, INFORMS, vol. 63(10), pages 3328-3346, October.
  35. Wu, Zhen & Zhuang, Yi, 2018. "Linear-quadratic partially observed forward–backward stochastic differential games and its application in finance," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 577-592.
  36. Jianjun Gao & Ke Zhou & Duan Li & Xiren Cao, 2014. "Dynamic Mean-LPM and Mean-CVaR Portfolio Optimization in Continuous-time," Papers 1402.3464, arXiv.org.
  37. Fan, Shengjun & Hu, Ying, 2021. "Well-posedness of scalar BSDEs with sub-quadratic generators and related PDEs," Stochastic Processes and their Applications, Elsevier, vol. 131(C), pages 21-50.
  38. Øksendal, Bernt & Sandal, Leif & Ubøe, Jan, 2013. "Stochastic Stackelberg equilibria with applications to time-dependent newsvendor models," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1284-1299.
  39. Ewald, Christian Oliver & Taub, Bart, 2022. "Real options, risk aversion and markets: A corporate finance perspective," Journal of Corporate Finance, Elsevier, vol. 72(C).
  40. Bouchard, Bruno & Chassagneux, Jean-François, 2008. "Discrete-time approximation for continuously and discretely reflected BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 118(12), pages 2269-2293, December.
  41. Luis Escauriaza & Daniel C. Schwarz & Hao Xing, 2020. "Radner equilibrium and systems of quadratic BSDEs with discontinuous generators," Papers 2008.03500, arXiv.org, revised May 2021.
  42. Marzougue, Mohamed, 2021. "Monotonic limit theorem for BSDEs with regulated trajectories," Statistics & Probability Letters, Elsevier, vol. 176(C).
  43. Cyril B'en'ezet & Jean-Franc{c}ois Chassagneux & Mohan Yang, 2023. "An optimal transport approach for the multiple quantile hedging problem," Papers 2308.01121, arXiv.org.
  44. Bayraktar, Erhan & Yao, Song, 2012. "Quadratic reflected BSDEs with unbounded obstacles," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1155-1203.
  45. Luo, Peng & Menoukeu-Pamen, Olivier & Tangpi, Ludovic, 2022. "Strong solutions of forward–backward stochastic differential equations with measurable coefficients," Stochastic Processes and their Applications, Elsevier, vol. 144(C), pages 1-22.
  46. Huiwen Yan & Gechun Liang & Zhou Yang, 2015. "Indifference Pricing and Hedging in a Multiple-Priors Model with Trading Constraints," Papers 1503.08969, arXiv.org.
  47. Stefan Ankirchner & Gregor Heyne, 2012. "Cross hedging with stochastic correlation," Finance and Stochastics, Springer, vol. 16(1), pages 17-43, January.
  48. Maxim Bichuch & Agostino Capponi & Stephan Sturm, 2020. "Robust XVA," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 738-781, July.
  49. Heyne, Gregor & Kupper, Michael & Mainberger, Christoph, 2011. "Minimal supersolutions of BSDEs with lower semicontinuous generations," SFB 649 Discussion Papers 2011-067, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
  50. Yaghobipour, S. & Yarahmadi, M., 2018. "Optimal control design for a class of quantum stochastic systems with financial applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 507-522.
  51. Bayraktar, Erhan & Yao, Song, 2015. "Doubly reflected BSDEs with integrable parameters and related Dynkin games," Stochastic Processes and their Applications, Elsevier, vol. 125(12), pages 4489-4542.
  52. Chen, Zengjing & Kulperger, Reg, 2005. "Inequalities for upper and lower probabilities," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 233-241, July.
  53. El-Karoui, N. & Hamadène, S., 2003. "BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations," Stochastic Processes and their Applications, Elsevier, vol. 107(1), pages 145-169, September.
  54. De Scheemaekere, Xavier, 2011. "A converse comparison theorem for backward stochastic differential equations with jumps," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 298-301, February.
  55. Cheridito, Patrick & Stadje, Mitja, 2012. "Existence, minimality and approximation of solutions to BSDEs with convex drivers," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1540-1565.
  56. Debussche, Arnaud & Hu, Ying & Tessitore, Gianmario, 2011. "Ergodic BSDEs under weak dissipative assumptions," Stochastic Processes and their Applications, Elsevier, vol. 121(3), pages 407-426, March.
  57. Dai, Yin & Li, Ruinan, 2021. "Transportation cost inequality for backward stochastic differential equations with mean reflection," Statistics & Probability Letters, Elsevier, vol. 177(C).
  58. Hu, Mingshang & Ji, Shaolin, 2017. "Dynamic programming principle for stochastic recursive optimal control problem driven by a G-Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 127(1), pages 107-134.
  59. Hafida Bouanani & Omar Kebiri & Carsten Hartmann & Amel Redjil, 2024. "Optimal Relaxed Control for a Decoupled G-FBSDE," Journal of Optimization Theory and Applications, Springer, vol. 202(3), pages 1027-1059, September.
  60. Cordoni, Francesco & Di Persio, Luca & Maticiuc, Lucian & Zălinescu, Adrian, 2020. "A stochastic approach to path-dependent nonlinear Kolmogorov equations via BSDEs with time-delayed generators and applications to finance," Stochastic Processes and their Applications, Elsevier, vol. 130(3), pages 1669-1712.
  61. Lepeltier, J.-P. & Xu, M., 2005. "Penalization method for reflected backward stochastic differential equations with one r.c.l.l. barrier," Statistics & Probability Letters, Elsevier, vol. 75(1), pages 58-66, November.
  62. Bender, Christian & Denk, Robert, 2007. "A forward scheme for backward SDEs," Stochastic Processes and their Applications, Elsevier, vol. 117(12), pages 1793-1812, December.
  63. Fujii, Masaaki & Takahashi, Akihiko, 2019. "Solving backward stochastic differential equations with quadratic-growth drivers by connecting the short-term expansions," Stochastic Processes and their Applications, Elsevier, vol. 129(5), pages 1492-1532.
  64. Ye, Jinchun, 2019. "Stochastic utilities with subsistence and satiation: Optimal life insurance purchase, consumption and investment," Insurance: Mathematics and Economics, Elsevier, vol. 89(C), pages 193-212.
  65. Briand, Philippe & Elie, Romuald, 2013. "A simple constructive approach to quadratic BSDEs with or without delay," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 2921-2939.
  66. Alexander Cherny, 2007. "Pricing and hedging European options with discrete-time coherent risk," Finance and Stochastics, Springer, vol. 11(4), pages 537-569, October.
  67. Pelsser Antoon & Gnameho Kossi, 2019. "A Monte Carlo method for backward stochastic differential equations with Hermite martingales," Monte Carlo Methods and Applications, De Gruyter, vol. 25(1), pages 37-60, March.
  68. Kruse, T. & Popier, A., 2016. "Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting," Stochastic Processes and their Applications, Elsevier, vol. 126(9), pages 2554-2592.
  69. Jia, Guangyan & Zhang, Na, 2015. "Quadratic g-convexity, C-convexity and their relationships," Stochastic Processes and their Applications, Elsevier, vol. 125(6), pages 2272-2294.
  70. Xiangdong Liu & Yu Gu, 2023. "Study of Pricing of High-Dimensional Financial Derivatives Based on Deep Learning," Mathematics, MDPI, vol. 11(12), pages 1-16, June.
  71. Jakša Cvitanić & Dylan Possamaï & Nizar Touzi, 2018. "Dynamic programming approach to principal–agent problems," Finance and Stochastics, Springer, vol. 22(1), pages 1-37, January.
  72. Bouchard Bruno & Tan Xiaolu & Warin Xavier & Zou Yiyi, 2017. "Numerical approximation of BSDEs using local polynomial drivers and branching processes," Monte Carlo Methods and Applications, De Gruyter, vol. 23(4), pages 241-263, December.
  73. Jia, Guangyan, 2008. "A class of backward stochastic differential equations with discontinuous coefficients," Statistics & Probability Letters, Elsevier, vol. 78(3), pages 231-237, February.
  74. Miryana Grigorova & Marie-Claire Quenez, 2017. "Optimal stopping and a non-zero-sum Dynkin game in discrete time with risk measures induced by BSDEs," Papers 1705.03724, arXiv.org.
  75. Christian Bayer & Jinniao Qiu & Yao Yao, 2020. "Pricing Options Under Rough Volatility with Backward SPDEs," Papers 2008.01241, arXiv.org.
  76. Hamadène, S. & Wang, H., 2009. "BSDEs with two RCLL reflecting obstacles driven by Brownian motion and Poisson measure and a related mixed zero-sum game," Stochastic Processes and their Applications, Elsevier, vol. 119(9), pages 2881-2912, September.
  77. Dirk Becherer & Plamen Turkedjiev, 2014. "Multilevel approximation of backward stochastic differential equations," Papers 1412.3140, arXiv.org.
  78. Łukasz Delong, 2019. "Optimal investment for insurance company with exponential utility and wealth-dependent risk aversion coefficient," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 89(1), pages 73-113, February.
  79. Leippold, Markus & Schärer, Steven, 2017. "Discrete-time option pricing with stochastic liquidity," Journal of Banking & Finance, Elsevier, vol. 75(C), pages 1-16.
  80. Li, Juan & Tang, Shanjian, 2007. "A local strict comparison theorem and converse comparison theorems for reflected backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 117(9), pages 1234-1250, September.
  81. Jiang, Long, 2005. "Converse comparison theorems for backward stochastic differential equations," Statistics & Probability Letters, Elsevier, vol. 71(2), pages 173-183, February.
  82. Said Hamadène & Rui Mu, 2021. "Risk-Sensitive Nonzero-Sum Stochastic Differential Game with Unbounded Coefficients," Dynamic Games and Applications, Springer, vol. 11(1), pages 84-108, March.
  83. Shuxia Guo & Zhe Meng, 2023. "The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences under Sublinear Expectation," Mathematics, MDPI, vol. 11(23), pages 1-21, November.
  84. Johannes Muhle-Karbe & Marcel Nutz & Xiaowei Tan, 2019. "Asset Pricing with Heterogeneous Beliefs and Illiquidity," Papers 1905.05730, arXiv.org, revised Mar 2020.
  85. N'zi, Modeste & Owo, Jean-Marc, 2009. "Backward doubly stochastic differential equations with discontinuous coefficients," Statistics & Probability Letters, Elsevier, vol. 79(7), pages 920-926, April.
  86. Chen, Zengjing & Peng, Shige, 2000. "A general downcrossing inequality for g-martingales," Statistics & Probability Letters, Elsevier, vol. 46(2), pages 169-175, January.
  87. Riedel, Frank, 2010. "Optimal Stopping under Ambiguity in Continuous Time," Center for Mathematical Economics Working Papers 429, Center for Mathematical Economics, Bielefeld University.
  88. Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1253-1288, May.
  89. Mohamed Otmani, 2009. "Reflected BSDE Driven by a Lévy Process," Journal of Theoretical Probability, Springer, vol. 22(3), pages 601-619, September.
  90. Antoon Pelsser & Mitja Stadje, 2014. "Time-Consistent And Market-Consistent Evaluations," Mathematical Finance, Wiley Blackwell, vol. 24(1), pages 25-65, January.
  91. Pagès, Gilles & Sagna, Abass, 2018. "Improved error bounds for quantization based numerical schemes for BSDE and nonlinear filtering," Stochastic Processes and their Applications, Elsevier, vol. 128(3), pages 847-883.
  92. Samuel N. Cohen & Tanut Treetanthiploet, 2019. "Gittins' theorem under uncertainty," Papers 1907.05689, arXiv.org, revised Jun 2021.
  93. G. Liang & T. Lyons & Z. Qian, 2010. "A Functional Approach to FBSDEs and Its Application in Optimal Portfolios," Papers 1011.4499, arXiv.org.
  94. Polynice Oyono Ngou & Cody Hyndman, 2014. "A Fourier interpolation method for numerical solution of FBSDEs: Global convergence, stability, and higher order discretizations," Papers 1410.8595, arXiv.org, revised May 2022.
  95. Wu, Zhen & Xu, Mingyu, 2009. "Comparison theorems for forward backward SDEs," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 426-435, February.
  96. Albrecht, E & Baum, Günter & Birsa, R & Bradamante, F & Bressan, A & Chapiro, A & Cicuttin, A & Ciliberti, P & Colavita, A & Costa, S & Crespo, M & Cristaudo, P & Dalla Torre, S & Diaz, V & Duic, V &, 2010. "Results from COMPASS RICH-1," Center for Mathematical Economics Working Papers 535, Center for Mathematical Economics, Bielefeld University.
  97. Bahlali, Khaled & Hamadène, SaI¨d & Mezerdi, Brahim, 2005. "Backward stochastic differential equations with two reflecting barriers and continuous with quadratic growth coefficient," Stochastic Processes and their Applications, Elsevier, vol. 115(7), pages 1107-1129, July.
  98. Stefan Kremsner & Alexander Steinicke, 2022. "$${{\varvec{L}}}^{{\varvec{p}}}$$ L p -Solutions and Comparison Results for Lévy-Driven Backward Stochastic Differential Equations in a Monotonic, General Growth Setting," Journal of Theoretical Probability, Springer, vol. 35(1), pages 231-281, March.
  99. Chenguang Liu & Antonis Papapantoleon & Alexandros Saplaouras, 2024. "Convergence rates for Backward SDEs driven by L\'evy processes," Papers 2402.01337, arXiv.org.
  100. Lu, Wen & Ren, Yong & Hu, Lanying, 2015. "Mean-field backward stochastic differential equations in general probability spaces," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 1-11.
  101. Shaolin Ji & Xiaomin Shi, 2016. "Recursive utility optimization with concave coefficients," Papers 1607.00721, arXiv.org.
  102. Kurt, Kevin & Frey, Rüdiger, 2022. "Markov-modulated affine processes," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 391-422.
  103. Lazrak, Ali & Zapatero, Fernando, 2004. "Efficient consumption set under recursive utility and unknown beliefs," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 207-226, February.
  104. Ali Lazrak & Marie Claire Quenez, 2003. "A Generalized Stochastic Differential Utility," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 154-180, February.
  105. Bi, Junna & Liang, Zhibin & Xu, Fangjun, 2016. "Optimal mean–variance investment and reinsurance problems for the risk model with common shock dependence," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 245-258.
  106. Bahlali Khaled & Mezerdi Brahim & Ouknine Youssef, 2001. "Some generic properties in backward stochastic differential equations with continuous coefficient," Monte Carlo Methods and Applications, De Gruyter, vol. 7(1-2), pages 15-20, December.
  107. Michael Mania & Revaz Tevzadze, 2008. "Backward Stochastic PDEs Related to the Utility Maximization Problem," ICER Working Papers - Applied Mathematics Series 07-2008, ICER - International Centre for Economic Research.
  108. Tangpi, Ludovic, 2019. "Concentration of dynamic risk measures in a Brownian filtration," Stochastic Processes and their Applications, Elsevier, vol. 129(5), pages 1477-1491.
  109. Monique Jeanblanc & Thibaut Mastrolia & Dylan Possamaï & Anthony Réveillac, 2015. "Utility Maximization With Random Horizon: A Bsde Approach," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1-43, November.
  110. R. Buckdahn & P. Cardaliaguet & M. Quincampoix, 2011. "Some Recent Aspects of Differential Game Theory," Dynamic Games and Applications, Springer, vol. 1(1), pages 74-114, March.
  111. Leo Shen & Robert J. Elliott, 2012. "Backward Stochastic Difference Equations for a Single Jump Process," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 955-971, December.
  112. Lukasz Szpruch & Marc Sabat'e Vidales & Tanut Treetanthiploet & Yufei Zhang, 2024. "Pricing and hedging of decentralised lending contracts," Papers 2409.04233, arXiv.org.
  113. Pei Zhang & Adriana Irawati Nur Ibrahim & Nur Anisah Mohamed, 2023. "Anticipated BSDEs Driven by Fractional Brownian Motion with a Time-Delayed Generator," Mathematics, MDPI, vol. 11(23), pages 1-13, December.
  114. Djehiche, Boualem & Löfdahl, Björn, 2016. "Nonlinear reserving in life insurance: Aggregation and mean-field approximation," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 1-13.
  115. {L}ukasz Delong, 2010. "BSDEs with time-delayed generators of a moving average type with applications to non-monotone preferences," Papers 1008.3722, arXiv.org, revised Jul 2011.
  116. Eduard Kromer & Ludger Overbeck, 2017. "DIFFERENTIABILITY OF BSVIEs AND DYNAMIC CAPITAL ALLOCATIONS," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(07), pages 1-26, November.
  117. Luca Di Persio & Emanuele Lavagnoli & Marco Patacca, 2022. "Calibrating FBSDEs Driven Models in Finance via NNs," Risks, MDPI, vol. 10(12), pages 1-19, November.
  118. Idris Kharroubi & Thomas Lim & Xavier Warin, 2020. "Discretization and Machine Learning Approximation of BSDEs with a Constraint on the Gains-Process," Papers 2002.02675, arXiv.org.
  119. Cuoco, Domenico & Cvitanic, Jaksa, 1998. "Optimal consumption choices for a 'large' investor," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 401-436, March.
  120. Bender, Christian, 2014. "Backward SDEs driven by Gaussian processes," Stochastic Processes and their Applications, Elsevier, vol. 124(9), pages 2892-2916.
  121. Samuel N. Cohen & Martin Tegn'er, 2018. "European Option Pricing with Stochastic Volatility models under Parameter Uncertainty," Papers 1807.03882, arXiv.org.
  122. Liangxue Li & Xiaoqian Zheng & Haiwu Huang & Xuejun Wang, 2024. "Strong Convergence Properties for Weighted Sums of Extended Negatively Dependent Random Variables Under Sub-linear Expectations with Statistical Applications," Methodology and Computing in Applied Probability, Springer, vol. 26(3), pages 1-36, September.
  123. Yangang Chen & Justin W. L. Wan, 2019. "Deep Neural Network Framework Based on Backward Stochastic Differential Equations for Pricing and Hedging American Options in High Dimensions," Papers 1909.11532, arXiv.org.
  124. Miryana Grigorova & Marie-Claire Quenez, 2017. "Optimal stopping and a non-zero-sum Dynkin game in discrete time with risk measures induced by BSDEs," Post-Print hal-01519215, HAL.
  125. Cetemen, Doruk & Feng, Felix Zhiyu & Urgun, Can, 2023. "Renegotiation and dynamic inconsistency: Contracting with non-exponential discounting," Journal of Economic Theory, Elsevier, vol. 208(C).
  126. Johannes Leitner, 2008. "Convex pricing by a generalized entropy penalty," Papers 0804.0127, arXiv.org.
  127. Wu, Zhen, 1999. "The comparison theorem of FBSDE," Statistics & Probability Letters, Elsevier, vol. 44(1), pages 1-6, August.
  128. Imkeller, Peter & Dos Reis, Gonçalo, 2010. "Path regularity and explicit convergence rate for BSDE with truncated quadratic growth," Stochastic Processes and their Applications, Elsevier, vol. 120(3), pages 348-379, March.
  129. Qiang Han & Shaolin Ji, 2022. "A Multi-Step Algorithm for BSDEs Based On a Predictor-Corrector Scheme and Least-Squares Monte Carlo," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2403-2426, December.
  130. Mastrolia, Thibaut, 2018. "Density analysis of non-Markovian BSDEs and applications to biology and finance," Stochastic Processes and their Applications, Elsevier, vol. 128(3), pages 897-938.
  131. Hardy Hulley & Thomas A. McWalter, 2015. "Quadratic Hedging of Basis Risk," JRFM, MDPI, vol. 8(1), pages 1-20, February.
  132. Li, Hanwu & Riedel, Frank, 2024. "Optimal Consumption for Recursive Preferences with Local Substitution under Risk," Center for Mathematical Economics Working Papers 693, Center for Mathematical Economics, Bielefeld University.
  133. Matoussi, A. & Piozin, L. & Popier, A., 2017. "Stochastic partial differential equations with singular terminal condition," Stochastic Processes and their Applications, Elsevier, vol. 127(3), pages 831-876.
  134. Andrew E. B. Lim, 2004. "Quadratic Hedging and Mean-Variance Portfolio Selection with Random Parameters in an Incomplete Market," Mathematics of Operations Research, INFORMS, vol. 29(1), pages 132-161, February.
  135. Briand, Philippe & Hibon, Hélène, 2021. "Particles Systems for mean reflected BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 131(C), pages 253-275.
  136. Pei Zhang & Nur Anisah Mohamed & Adriana Irawati Nur Ibrahim, 2023. "Mean-Field and Anticipated BSDEs with Time-Delayed Generator," Mathematics, MDPI, vol. 11(4), pages 1-13, February.
  137. Chen, Zengjing & Kulperger, Reg, 2006. "Minimax pricing and Choquet pricing," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 518-528, June.
  138. Bi, Junna & Jin, Hanqing & Meng, Qingbin, 2018. "Behavioral mean-variance portfolio selection," European Journal of Operational Research, Elsevier, vol. 271(2), pages 644-663.
  139. Shen, Yang & Zeng, Yan, 2015. "Optimal investment–reinsurance strategy for mean–variance insurers with square-root factor process," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 118-137.
  140. Alexander Aurell, 2018. "Mean-Field Type Games between Two Players Driven by Backward Stochastic Differential Equations," Games, MDPI, vol. 9(4), pages 1-26, November.
  141. Auguste Aman, 2012. "Reflected Generalized Backward Doubly SDEs Driven by Lévy Processes and Applications," Journal of Theoretical Probability, Springer, vol. 25(4), pages 1153-1172, December.
  142. Chassagneux, Jean-François & Richou, Adrien, 2019. "Rate of convergence for the discrete-time approximation of reflected BSDEs arising in switching problems," Stochastic Processes and their Applications, Elsevier, vol. 129(11), pages 4597-4637.
  143. Ferland, René & Watier, François, 2008. "FBSDE approach to utility portfolio selection in a market with random parameters," Statistics & Probability Letters, Elsevier, vol. 78(4), pages 426-434, March.
  144. Riu Naito & Toshihiro Yamada, 2024. "Deep high-order splitting method for semilinear degenerate PDEs and application to high-dimensional nonlinear pricing models," Digital Finance, Springer, vol. 6(4), pages 693-725, December.
  145. repec:hal:wpaper:hal-01761234 is not listed on IDEAS
  146. Christophette Blanchet-Scalliet & Anne Eyraud-Loisel & Manuela Royer-Carenzi, 2008. "Hedging of Defaultable Contingent Claims using BSDE with uncertain time horizon," Papers 0811.4039, arXiv.org, revised Sep 2009.
  147. Chen, Xin & Yuan, Yue & Yuan, Dongmei & Ge, Xiao, 2024. "Optimal control for both forward and backward discrete-time systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 298-314.
  148. Yao, Song, 2017. "Lp solutions of backward stochastic differential equations with jumps," Stochastic Processes and their Applications, Elsevier, vol. 127(11), pages 3465-3511.
  149. Gobet, Emmanuel & Makhlouf, Azmi, 2010. "-time regularity of BSDEs with irregular terminal functions," Stochastic Processes and their Applications, Elsevier, vol. 120(7), pages 1105-1132, July.
  150. Thomas Lim & Marie-Claire Quenez, 2010. "Portfolio optimization in a default model under full/partial information," Papers 1003.6002, arXiv.org, revised Nov 2013.
  151. Popier, A., 2006. "Backward stochastic differential equations with singular terminal condition," Stochastic Processes and their Applications, Elsevier, vol. 116(12), pages 2014-2056, December.
  152. Stadje, M.A. & Pelsser, A., 2014. "Time-Consistent and Market-Consistent Evaluations (Revised version of 2012-086)," Discussion Paper 2014-002, Tilburg University, Center for Economic Research.
  153. Claudia Ceci & Anna Gerardi, 2011. "Utility indifference valuation for jump risky assets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 34(2), pages 85-120, November.
  154. A. Jobert & L. C. G. Rogers, 2008. "Valuations And Dynamic Convex Risk Measures," Mathematical Finance, Wiley Blackwell, vol. 18(1), pages 1-22, January.
  155. Jana Bielagk & Arnaud Lionnet & Goncalo Dos Reis, 2015. "Equilibrium pricing under relative performance concerns," Papers 1511.04218, arXiv.org, revised Feb 2017.
  156. Lionnet, Arnaud, 2014. "Some results on general quadratic reflected BSDEs driven by a continuous martingale," Stochastic Processes and their Applications, Elsevier, vol. 124(3), pages 1275-1302.
  157. Leitner Johannes, 2007. "Pricing and hedging with globally and instantaneously vanishing risk," Statistics & Risk Modeling, De Gruyter, vol. 25(4), pages 311-332, October.
  158. Rafael Serrano, 2014. "Ecuaciones Diferenciales Estocásticas con Condición Final y Soluciones de Viscosidad de EDPS Semilineales de Segundo Orden," Documentos de Trabajo 12231, Universidad del Rosario.
  159. Marie-Amelie Morlais, 2006. "Quadratic BSDEs driven by a continuous martingale and application to utility maximization problem," Papers math/0610749, arXiv.org, revised Mar 2008.
  160. Hu, Yaozhong & Nualart, David & Song, Xiaoming, 2020. "An implicit numerical scheme for a class of backward doubly stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 130(6), pages 3295-3324.
  161. Dumas, Bernard & Uppal, Raman & Wang, Tan, 2000. "Efficient Intertemporal Allocations with Recursive Utility," Journal of Economic Theory, Elsevier, vol. 93(2), pages 240-259, August.
  162. Bénézet, Cyril & Chassagneux, Jean-François & Richou, Adrien, 2022. "Switching problems with controlled randomisation and associated obliquely reflected BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 144(C), pages 23-71.
  163. Lukasz Delong, 2010. "Applications of time-delayed backward stochastic differential equations to pricing, hedging and portfolio management," Papers 1005.4417, arXiv.org, revised Jan 2011.
  164. Wang, Guangchen & Wang, Wencan & Yan, Zhiguo, 2021. "Linear quadratic control of backward stochastic differential equation with partial information," Applied Mathematics and Computation, Elsevier, vol. 403(C).
  165. Kaitong Hu & Zhenjie Ren & Junjian Yang, 2019. "Principal-agent problem with multiple principals," Working Papers hal-02088486, HAL.
  166. Dejian Tian, 2022. "Pricing principle via Tsallis relative entropy in incomplete market," Papers 2201.05316, arXiv.org, revised Oct 2022.
  167. Gassiat, Paul & Oberhauser, Harald & dos Reis, Gonçalo, 2015. "Root’s barrier, viscosity solutions of obstacle problems and reflected FBSDEs," Stochastic Processes and their Applications, Elsevier, vol. 125(12), pages 4601-4631.
  168. Li, Danping & Shen, Yang & Zeng, Yan, 2018. "Dynamic derivative-based investment strategy for mean–variance asset–liability management with stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 72-86.
  169. Stephane Crepey & Andrea Macrina & Tuyet Mai Nguyen & David Skovmand, 2015. "Rational Multi-Curve Models with Counterparty-Risk Valuation Adjustments," Papers 1502.07397, arXiv.org.
  170. M. Mania & R. Tevzadze, 2008. "Backward Stochastic PDEs related to the utility maximization problem," Papers 0806.0240, arXiv.org.
  171. Ulrich Horst & Evgueni Kivman, 2021. "Optimal trade execution under small market impact and portfolio liquidation with semimartingale strategies," Papers 2103.05957, arXiv.org, revised Jul 2023.
  172. Peng, Xingchun & Wei, Linxiao & Hu, Yijun, 2014. "Optimal investment, consumption and proportional reinsurance for an insurer with option type payoff," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 78-86.
  173. Elliott, Robert J. & Siu, Tak Kuen & Badescu, Alex, 2010. "On mean-variance portfolio selection under a hidden Markovian regime-switching model," Economic Modelling, Elsevier, vol. 27(3), pages 678-686, May.
  174. Andrew E. B. Lim & Xun Yu Zhou, 2002. "Mean-Variance Portfolio Selection with Random Parameters in a Complete Market," Mathematics of Operations Research, INFORMS, vol. 27(1), pages 101-120, February.
  175. Fan, ShengJun, 2016. "Existence of solutions to one-dimensional BSDEs with semi-linear growth and general growth generators," Statistics & Probability Letters, Elsevier, vol. 109(C), pages 7-15.
  176. Wanyang Dai, 2014. "Mean-variance hedging based on an incomplete market with external risk factors of non-Gaussian OU processes," Papers 1410.0991, arXiv.org, revised Aug 2015.
  177. Tianyang Nie & Marek Rutkowski, 2014. "Fair bilateral prices in Bergman's model," Papers 1410.0673, arXiv.org, revised Dec 2014.
  178. Junbeom Lee & Chao Zhou, 2021. "Binary funding impacts in derivative valuation," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 242-278, January.
  179. Briand, Philippe & Confortola, Fulvia, 2008. "BSDEs with stochastic Lipschitz condition and quadratic PDEs in Hilbert spaces," Stochastic Processes and their Applications, Elsevier, vol. 118(5), pages 818-838, May.
  180. Tian, Dejian & Jiang, Long & Davison, Matt, 2010. "On the existence of solutions to BSDEs with generalized uniformly continuous generators," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 903-909, May.
  181. Yong, Jiongmin, 2006. "Backward stochastic Volterra integral equations and some related problems," Stochastic Processes and their Applications, Elsevier, vol. 116(5), pages 779-795, May.
  182. Hamadène, Said & Mu, Rui, 2020. "Discontinuous Nash equilibrium points for nonzero-sum stochastic differential games," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 6901-6926.
  183. Brigo, Damiano & Francischello, Marco & Pallavicini, Andrea, 2019. "Nonlinear valuation under credit, funding, and margins: Existence, uniqueness, invariance, and disentanglement," European Journal of Operational Research, Elsevier, vol. 274(2), pages 788-805.
  184. Ceci, Claudia & Cretarola, Alessandra & Russo, Francesco, 2014. "BSDEs under partial information and financial applications," Stochastic Processes and their Applications, Elsevier, vol. 124(8), pages 2628-2653.
  185. Vorbrink, Jörg, 2014. "Financial markets with volatility uncertainty," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 64-78.
  186. Doruk Cetemen & Felix Zhiyu Feng & Can Urgun, 2019. "Contracting with Non-Exponential Discounting: Moral Hazard and Dynamic Inconsistency," Working Papers 2019-17, Princeton University. Economics Department..
  187. Jean-Paul Laurent & Philippe Amzelek & Joe Bonnaud, 2014. "An overview of the valuation of collateralized derivative contracts," Review of Derivatives Research, Springer, vol. 17(3), pages 261-286, October.
  188. Masaaki Fujii & Akihiko Takahashi, 2015. "Perturbative Expansion Technique for Non-linear FBSDEs with Interacting Particle Method," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 22(3), pages 283-304, September.
  189. Xing, Hao, 2012. "On backward stochastic differential equations and strict local martingales," Stochastic Processes and their Applications, Elsevier, vol. 122(6), pages 2265-2291.
  190. Stefan Geiss & Emmanuel Gobet, 2010. "Fractional smoothness and applications in finance," Papers 1004.3577, arXiv.org.
  191. Bartosz Jaroszkowski & Max Jensen, 2021. "Valuation of European Options under an Uncertain Market Price of Volatility Risk," Papers 2105.09581, arXiv.org.
  192. Wang, Wei, 2009. "Maximal inequalities for g-martingales," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1169-1174, May.
  193. Giorgia Callegaro & Alessandro Gnoatto & Martino Grasselli, 2021. "A Fully Quantization-based Scheme for FBSDEs," Papers 2105.09276, arXiv.org.
  194. Shigeta, Yuki, 2020. "Gain/loss asymmetric stochastic differential utility," Journal of Economic Dynamics and Control, Elsevier, vol. 118(C).
  195. Hui Zhang & Wenyu Meng & Xiaojie Wang & Jianwei Zhang, 2017. "Application of BSDE in Standard Inventory Financing Loan," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-6, June.
  196. Zengwu Wang, 2010. "Irreversible Investment of the Risk- and Uncertainty-averse DM under k-Ignorance: The Role of BSDE," Annals of Economics and Finance, Society for AEF, vol. 11(2), pages 313-335, November.
  197. Rozkosz, Andrzej & Słomiński, Leszek, 2012. "Lp solutions of reflected BSDEs under monotonicity condition," Stochastic Processes and their Applications, Elsevier, vol. 122(12), pages 3875-3900.
  198. Akihiko Takahashi & Yoshifumi Tsuchida & Toshihiro Yamada, 2021. "A new efficient approximation scheme for solving high-dimensional semilinear PDEs: control variate method for Deep BSDE solver," Papers 2101.09890, arXiv.org, revised Jan 2021.
  199. Yanwei Jia & Xun Yu Zhou, 2021. "Policy Evaluation and Temporal-Difference Learning in Continuous Time and Space: A Martingale Approach," Papers 2108.06655, arXiv.org, revised Feb 2022.
  200. Wang, Bo & Song, Ruili, 2009. "The Application of backward stochastic differential equation with stopping time in hedging American contingent claims," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2629-2634.
  201. Claudia Ceci & Alessandra Cretarola, 2024. "Optimal reinsurance in a dynamic contagion model: comparing self-exciting and externally-exciting risks," Papers 2404.11482, arXiv.org, revised Sep 2024.
  202. Tianyang Nie & Marek Rutkowski, 2016. "A BSDE approach to fair bilateral pricing under endogenous collateralization," Finance and Stochastics, Springer, vol. 20(4), pages 855-900, October.
  203. Shigeta, Yuki, 2022. "Quasi-hyperbolic discounting under recursive utility and consumption–investment decisions," Journal of Economic Theory, Elsevier, vol. 204(C).
  204. Arnaud Porchet & Nizar Touzi & Xavier Warin, 2009. "Valuation of power plants by utility indifference and numerical computation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 70(1), pages 47-75, August.
  205. Qian Lei & Chi Seng Pun, 2024. "A Malliavin Calculus Approach to Backward Stochastic Volterra Integral Equations," Papers 2412.19236, arXiv.org, revised Jan 2025.
  206. Idris Kharroubi & Thomas Lim & Xavier Warin, 2020. "Discretization and Machine Learning Approximation of BSDEs with a Constraint on the Gains-Process," Working Papers hal-02468354, HAL.
  207. Hao, Tao & Wen, Jiaqiang & Xiong, Jie, 2022. "Solvability of a class of mean-field BSDEs with quadratic growth," Statistics & Probability Letters, Elsevier, vol. 191(C).
  208. de Angelis, Tiziano & Ferrari, Giorgio & Hamadène, Saïd, 2018. "A Note on a New Existence Result for Reflected BSDES with Interconnected Obstacles," Center for Mathematical Economics Working Papers 591, Center for Mathematical Economics, Bielefeld University.
  209. Hanwu Li & Guomin Liu, 2024. "Multi-dimensional Reflected Backward Stochastic Differential Equations Driven by G-Brownian Motion with Diagonal Generators," Journal of Theoretical Probability, Springer, vol. 37(3), pages 2615-2645, September.
  210. V. Bally & A. Matoussi, 2001. "Weak Solutions for SPDEs and Backward Doubly Stochastic Differential Equations," Journal of Theoretical Probability, Springer, vol. 14(1), pages 125-164, January.
  211. El Otmani, Mohamed, 2008. "BSDE driven by a simple Lévy process with continuous coefficient," Statistics & Probability Letters, Elsevier, vol. 78(11), pages 1259-1265, August.
  212. Sheng-Jun Fan & Long Jiang, 2012. "A Generalized Comparison Theorem for BSDEs and Its Applications," Journal of Theoretical Probability, Springer, vol. 25(1), pages 50-61, March.
  213. Emmanuel Gobet & Isaque Pimentel & Xavier Warin, 2020. "Option valuation and hedging using asymmetric risk function: asymptotic optimality through fully nonlinear Partial Differential Equations," Post-Print hal-01761234, HAL.
  214. Hanwu Li & Yongsheng Song, 2021. "Backward Stochastic Differential Equations Driven by G-Brownian Motion with Double Reflections," Journal of Theoretical Probability, Springer, vol. 34(4), pages 2285-2314, December.
  215. Rolf Poulsen & Klaus Reiner Schenk-Hoppe & Christian-Oliver Ewald, 2009. "Risk minimization in stochastic volatility models: model risk and empirical performance," Quantitative Finance, Taylor & Francis Journals, vol. 9(6), pages 693-704.
  216. Thomas Lim & Marie-Claire Quenez, 2008. "Utility maximization in incomplete markets with default," Papers 0811.4715, arXiv.org, revised Jul 2010.
  217. Tian, Dejian & Jiang, Long & Shi, Xuejun, 2013. "Lp solutions to backward stochastic differential equations with discontinuous generators," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 503-510.
  218. Ali Lazrak, 2005. "Generalized stochastic differential utility and preference for information," Papers math/0503579, arXiv.org.
  219. Chol-Kyu Pak & Mun-Chol Kim & O Hun, 2018. "A generalized scheme for BSDEs based on derivative approximation and its error estimates," Papers 1808.02478, arXiv.org.
  220. Ankirchner, Stefan & Imkeller, Peter & Popier, Alexandre, 2009. "On measure solutions of backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 119(9), pages 2744-2772, September.
  221. Christophette Blanchet-Scalliet & Anne Eyraud-Loisel & Manuela Royer-Carenzi, 2010. "Hedging of Defaultable Contingent Claims using BSDE with uncertain time horizon," Post-Print hal-00341431, HAL.
  222. Cody B. Hyndman & Polynice Oyono Ngou, 2017. "A Convolution Method for Numerical Solution of Backward Stochastic Differential Equations," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 1-29, March.
  223. Pascal J. Maenhout & Andrea Vedolin & Hao Xing, 2020. "Generalized Robustness and Dynamic Pessimism," NBER Working Papers 26970, National Bureau of Economic Research, Inc.
  224. Yumo Zhang, 2022. "Dynamic optimal mean-variance portfolio selection with stochastic volatility and stochastic interest rate," Annals of Finance, Springer, vol. 18(4), pages 511-544, December.
  225. Mingcan Wang & Xiangjun Wang, 2024. "Hybrid Neural Networks for Solving Fully Coupled, High-Dimensional Forward–Backward Stochastic Differential Equations," Mathematics, MDPI, vol. 12(7), pages 1-22, April.
  226. Anis Matoussi & Michael Scheutzow, 2002. "Stochastic PDEs Driven by Nonlinear Noise and Backward Doubly SDEs," Journal of Theoretical Probability, Springer, vol. 15(1), pages 1-39, January.
  227. Madan, Dilip & Pistorius, Martijn & Stadje, Mitja, 2016. "Convergence of BSΔEs driven by random walks to BSDEs: The case of (in)finite activity jumps with general driver," Stochastic Processes and their Applications, Elsevier, vol. 126(5), pages 1553-1584.
  228. Kim Weston, 2022. "Existence of an equilibrium with limited participation," Papers 2206.12399, arXiv.org.
  229. Kohlmann, Michael & Zhou, Xun Yu, 1999. "Backward Stochastic Differential Equations and Stochastic Controls: A New Perspective," CoFE Discussion Papers 99/09, University of Konstanz, Center of Finance and Econometrics (CoFE).
  230. Kupper, Michael & Luo, Peng & Tangpi, Ludovic, 2019. "Multidimensional Markovian FBSDEs with super-quadratic growth," Stochastic Processes and their Applications, Elsevier, vol. 129(3), pages 902-923.
  231. Y. Ren, 2010. "On Solutions of Backward Stochastic Volterra Integral Equations with Jumps in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 144(2), pages 319-333, February.
  232. Zhao, Guoqing, 2009. "Lenglart domination inequalities for g-expectations," Statistics & Probability Letters, Elsevier, vol. 79(22), pages 2338-2342, November.
  233. Nobuhiro Nakamura, 2004. "Numerical Approach to Asset Pricing Models with Stochastic Differential Utility," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 11(3), pages 267-300, September.
  234. Christophe Denis & Charlotte Dion & Miguel Martinez, 2020. "Consistent procedures for multiclass classification of discrete diffusion paths," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 47(2), pages 516-554, June.
  235. El Otmani, Mohamed, 2009. "BSDEs driven by Lévy process with enlarged filtration and applications in finance," Statistics & Probability Letters, Elsevier, vol. 79(1), pages 44-49, January.
  236. Weijie Pang & Stephan Sturm, 2020. "XVA Valuation under Market Illiquidity," Papers 2011.03543, arXiv.org.
  237. Mingyu Xu, 2007. "Reflected Backward SDEs with Two Barriers Under Monotonicity and General Increasing Conditions," Journal of Theoretical Probability, Springer, vol. 20(4), pages 1005-1039, December.
  238. Akihiro Kaneko, 2023. "Multi-stage Euler-Maruyama methods for backward stochastic differential equations driven by continuous-time Markov chains," Papers 2311.08826, arXiv.org, revised Nov 2023.
  239. Shaolin Ji & Hanqing Jin & Xiaomin Shi, 2017. "Mean-variance portfolio selection with nonlinear wealth dynamics and random coefficients," Papers 1705.06141, arXiv.org, revised Nov 2022.
  240. Eyraud-Loisel, Anne, 2005. "Backward stochastic differential equations with enlarged filtration: Option hedging of an insider trader in a financial market with jumps," Stochastic Processes and their Applications, Elsevier, vol. 115(11), pages 1745-1763, November.
  241. Jianjun Miao, 2009. "Ambiguity, Risk and Portfolio Choice under Incomplete Information," Annals of Economics and Finance, Society for AEF, vol. 10(2), pages 257-279, November.
  242. Delong, Łukasz & Dhaene, Jan & Barigou, Karim, 2019. "Fair valuation of insurance liability cash-flow streams in continuous time: Theory," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 196-208.
  243. Brachetta, M. & Ceci, C., 2020. "A BSDE-based approach for the optimal reinsurance problem under partial information," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 1-16.
  244. Jiang, Long, 2009. "A necessary and sufficient condition for probability measures dominated by g-expectation," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 196-201, January.
  245. Masaaki Fujii & Seisho Sato & Akihiko Takahashi, 2015. "An FBSDE Approach to American Option Pricing with an Interacting Particle Method," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 22(3), pages 239-260, September.
  246. Hu, Ying & Tang, Shanjian & Wang, Falei, 2022. "Quadratic G-BSDEs with convex generators and unbounded terminal conditions," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 363-390.
  247. Réveillac, Anthony, 2012. "On the orthogonal component of BSDEs in a Markovian setting," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 151-157.
  248. Fan, ShengJun & Jiang, Long & Tian, DeJian, 2011. "One-dimensional BSDEs with finite and infinite time horizons," Stochastic Processes and their Applications, Elsevier, vol. 121(3), pages 427-440, March.
  249. Tomasz R. Bielecki & Igor Cialenco & Marek Rutkowski, 2017. "Arbitrage-Free Pricing Of Derivatives In Nonlinear Market Models," Papers 1701.08399, arXiv.org, revised Apr 2018.
  250. Roxana Dumitrescu & Marie-Claire Quenez & Agn`es Sulem, 2016. "BSDEs with default jump," Papers 1612.05681, arXiv.org, revised Sep 2017.
  251. Xu, Xiaoming, 2012. "Reflected solutions of generalized anticipated BSDEs and application to reflected BSDEs with functional barrier," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1185-1192.
  252. Hu, Feng & Chen, Zengjing, 2010. "Generalized Peng's g-expectations and related properties," Statistics & Probability Letters, Elsevier, vol. 80(3-4), pages 191-195, February.
  253. Jiang, Long, 2006. "A note on g-expectation with comonotonic additivity," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1895-1903, November.
  254. Gobet, Emmanuel & Labart, Céline, 2007. "Error expansion for the discretization of backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 117(7), pages 803-829, July.
  255. repec:dau:papers:123456789/5374 is not listed on IDEAS
  256. Jia, Guangyan, 2009. "Some uniqueness results for one-dimensional BSDEs with uniformly continuous coefficients," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 436-441, February.
  257. Fuhrmann, Sven & Kupper, Michael & Nendel, Max, 2021. "Wasserstein Perturbations of Markovian Transition Semigroups," Center for Mathematical Economics Working Papers 649, Center for Mathematical Economics, Bielefeld University.
  258. Chen, Zengjing & Kulperger, Reg & Wei, Gang, 2005. "A comonotonic theorem for BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 115(1), pages 41-54, January.
  259. Matteo Brachetta & Claudia Ceci, 2019. "A BSDE-based approach for the optimal reinsurance problem under partial information," Papers 1910.05999, arXiv.org, revised May 2020.
  260. Julia Eisenberg & Stefan Kremsner & Alexander Steinicke, 2021. "Two Approaches for a Dividend Maximization Problem under an Ornstein-Uhlenbeck Interest Rate," Mathematics, MDPI, vol. 9(18), pages 1-20, September.
  261. Han, Xingyu, 2018. "Pricing and hedging vulnerable option with funding costs and collateral," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 103-115.
  262. Shaolin Ji & Xiaomin Shi, 2016. "Recursive utility maximization under partial information," Papers 1605.05802, arXiv.org.
  263. Bandini, Elena & Fuhrman, Marco, 2017. "Constrained BSDEs representation of the value function in optimal control of pure jump Markov processes," Stochastic Processes and their Applications, Elsevier, vol. 127(5), pages 1441-1474.
  264. Martin Dumav, 2021. "Moral Hazard, Dynamic Incentives, and Ambiguous Perceptions," Papers 2110.15229, arXiv.org.
  265. Camilo Hernández & Dylan Possamaï, 2024. "Time‐inconsistent contract theory," Mathematical Finance, Wiley Blackwell, vol. 34(3), pages 1022-1085, July.
  266. Wayne King Ming Chan, 2015. "RAROC-Based Contingent Claim Valuation," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2015, January-A.
  267. Yuki Shigeta, 2016. "Optimal Switching under Ambiguity and Its Applications in Finance," Discussion papers e-16-005, Graduate School of Economics , Kyoto University.
  268. Wei Chen, 2013. "Fractional G-White Noise Theory, Wavelet Decomposition for Fractional G-Brownian Motion, and Bid-Ask Pricing Application to Finance Under Uncertainty," Papers 1306.4070, arXiv.org.
  269. Yan, Tingjin & Chiu, Mei Choi & Wong, Hoi Ying, 2023. "Portfolio liquidation with delayed information," Economic Modelling, Elsevier, vol. 126(C).
  270. Zhen-Qing Chen & Xinwei Feng, 2021. "Reflected Backward Stochastic Differential Equation with Rank-Based Data," Journal of Theoretical Probability, Springer, vol. 34(3), pages 1213-1247, September.
  271. Christian Olivera & Evelina Shamarova, 2020. "Gaussian density estimates for solutions of fully coupled forward‐backward SDEs," Mathematische Nachrichten, Wiley Blackwell, vol. 293(8), pages 1554-1564, August.
  272. Min Dai & Yuchao Dong & Yanwei Jia & Xun Yu Zhou, 2023. "Learning Merton's Strategies in an Incomplete Market: Recursive Entropy Regularization and Biased Gaussian Exploration," Papers 2312.11797, arXiv.org.
  273. Francesca Biagini & Alessandro Gnoatto & Immacolata Oliva, 2019. "Pricing of counterparty risk and funding with CSA discounting, portfolio effects and initial margin," Working Papers 04/2019, University of Verona, Department of Economics.
  274. Fan, Shengjun & Hu, Ying & Tang, Shanjian, 2023. "Existence, uniqueness and comparison theorem on unbounded solutions of scalar super-linear BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 157(C), pages 335-375.
  275. Mingyu Xu & Zuo Quan Xu & Xun Yu Zhou, 2022. "$g$-Expectation of Distributions," Papers 2208.06535, arXiv.org.
  276. Tomasz R. Bielecki & Stéphane Crépey & Monique Jeanblanc & Marek Rutkowski, 2008. "Defaultable Options In A Markovian Intensity Model Of Credit Risk," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 493-518, October.
  277. Nikolai Dokuchaev, 2015. "Optimal portfolio with unobservable market parameters and certainty equivalence principle," Papers 1502.02352, arXiv.org.
  278. Ulrich Horst & Matthias Müller, 2007. "On the Spanning Property of Risk Bonds Priced by Equilibrium," Mathematics of Operations Research, INFORMS, vol. 32(4), pages 784-807, November.
  279. Bally, Vlad & Pagès, Gilles, 2003. "Error analysis of the optimal quantization algorithm for obstacle problems," Stochastic Processes and their Applications, Elsevier, vol. 106(1), pages 1-40, July.
  280. Delong, Lukasz, 2010. "An optimal investment strategy for a stream of liabilities generated by a step process in a financial market driven by a Lévy process," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 278-293, December.
  281. Boufoussi, B. & van Casteren, J., 2004. "An approximation result for a nonlinear Neumann boundary value problem via BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 114(2), pages 331-350, December.
  282. Damiano Brigo & Cristin Buescu & Marco Francischello & Andrea Pallavicini & Marek Rutkowski, 2022. "Nonlinear Valuation with XVAs: Two Converging Approaches," Mathematics, MDPI, vol. 10(5), pages 1-31, March.
  283. Shige Peng & Mingyu Xu, 2006. "Reflected BSDE with a Constraint and a New Doob-Meyer Nonlinear Decomposition," Papers math/0611869, arXiv.org, revised Jul 2008.
  284. Douissi, Soukaina & Wen, Jiaqiang & Shi, Yufeng, 2019. "Mean-field anticipated BSDEs driven by fractional Brownian motion and related stochastic control problem," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 282-298.
  285. Nam, Kihun, 2021. "Locally Lipschitz BSDE driven by a continuous martingale a path-derivative approach," Stochastic Processes and their Applications, Elsevier, vol. 141(C), pages 376-411.
  286. Bayraktar, Erhan & Yao, Song, 2011. "Optimal stopping for non-linear expectations--Part I," Stochastic Processes and their Applications, Elsevier, vol. 121(2), pages 185-211, February.
  287. Blessing, Jonas & Kupper, Michael & Nendel, Max, 2023. "Convergence of Infintesimal Generators and Stability of Convex Montone Semigroups," Center for Mathematical Economics Working Papers 680, Center for Mathematical Economics, Bielefeld University.
  288. Sheng Jun Fan, 2018. "Existence, Uniqueness and Stability of $$L^1$$ L 1 Solutions for Multidimensional Backward Stochastic Differential Equations with Generators of One-Sided Osgood Type," Journal of Theoretical Probability, Springer, vol. 31(3), pages 1860-1899, September.
  289. Wei Zhang & Hui Min, 2021. "Weak Convergence Analysis and Improved Error Estimates for Decoupled Forward-Backward Stochastic Differential Equations," Mathematics, MDPI, vol. 9(8), pages 1-15, April.
  290. Lüders, Erik & Peisl, Bernhard, 2001. "How do investors' expectations drive asset prices?," ZEW Discussion Papers 01-15, ZEW - Leibniz Centre for European Economic Research.
  291. Thibaut Mastrolia, 2016. "Density analysis of non-Markovian BSDEs and applications to biology and finance," Papers 1602.06101, arXiv.org.
  292. Zhao, Qian & Shen, Yang & Wei, Jiaqin, 2014. "Consumption–investment strategies with non-exponential discounting and logarithmic utility," European Journal of Operational Research, Elsevier, vol. 238(3), pages 824-835.
  293. Geiss, Stefan & Ylinen, Juha, 2020. "Weighted bounded mean oscillation applied to backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 130(6), pages 3711-3752.
  294. Bo, Wang & Qingxin, Meng, 2007. "Hedging American contingent claims with arbitrage costs," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 598-603.
  295. Sascha Desmettre & Sebastian Merkel & Annalena Mickel & Alexander Steinicke, 2023. "Worst-Case Optimal Investment in Incomplete Markets," Papers 2311.10021, arXiv.org, revised Dec 2024.
  296. Dirk Becherer & Wilfried Kuissi-Kamdem & Olivier Menoukeu-Pamen, 2023. "Optimal consumption with labor income and borrowing constraints for recursive preferences," Working Papers hal-04017143, HAL.
  297. Marcel Nutz & José A. Scheinkman, 2020. "Shorting in Speculative Markets," Journal of Finance, American Finance Association, vol. 75(2), pages 995-1036, April.
  298. Haiyang Wang & Zhen Wu, 2014. "Partially Observed Time-Inconsistency Recursive Optimization Problem and Application," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 664-687, May.
  299. Cao, Guilan & He, Kai, 2007. "Successive approximation of infinite dimensional semilinear backward stochastic evolution equations with jumps," Stochastic Processes and their Applications, Elsevier, vol. 117(9), pages 1251-1264, September.
  300. Ferrari, Giorgio & Li, Hanwu & Riedel, Frank, 2020. "Optimal Consumption with Intertemporal Substitution under Knightian Uncertainty," Center for Mathematical Economics Working Papers 641, Center for Mathematical Economics, Bielefeld University.
  301. Minjie Yu & Qiang Zhang & Dennis Yang, 2008. "Bankruptcy in long-term investments," Quantitative Finance, Taylor & Francis Journals, vol. 8(8), pages 777-794.
  302. Beißner, Patrick, 2015. "Existence of Arrow-Debreu Equilibrium with Generalized Stochastic Differential Utility," Center for Mathematical Economics Working Papers 447, Center for Mathematical Economics, Bielefeld University.
  303. Dilip B. Madan, 2016. "Benchmarking in two price financial markets," Annals of Finance, Springer, vol. 12(2), pages 201-219, May.
  304. Fan, ShengJun, 2016. "Bounded solutions, Lp(p>1) solutions and L1 solutions for one dimensional BSDEs under general assumptions," Stochastic Processes and their Applications, Elsevier, vol. 126(5), pages 1511-1552.
  305. Situ, Rong, 2002. "On solutions of backward stochastic differential equations with jumps and with non-Lipschitzian coefficients in Hilbert spaces and stochastic control," Statistics & Probability Letters, Elsevier, vol. 60(3), pages 279-288, December.
  306. Lu, Wen & Ren, Yong & Hu, Lanying, 2015. "Mean-field backward stochastic differential equations with subdifferential operator and its applications," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 73-81.
  307. Masaaki Fujii & Seisho Sato & Akihiko Takahashi, 2014. "An FBSDE Approach to American Option Pricing with an Interacting Particle Method," CARF F-Series CARF-F-352, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  308. Bouchard, Bruno & Elie, Romuald, 2008. "Discrete-time approximation of decoupled Forward-Backward SDE with jumps," Stochastic Processes and their Applications, Elsevier, vol. 118(1), pages 53-75, January.
  309. Wang, Ling & Wong, Hoi Ying, 2021. "Time-consistent longevity hedging with long-range dependence," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 25-41.
  310. Jaekel, Uwe, 2005. "Pricing of American style options with an adjoint process correction method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 584-600.
  311. Masaaki Fujii & Akihiko Takahashi, 2015. "Asymptotic Expansion for Forward-Backward SDEs with Jumps," Papers 1510.03220, arXiv.org, revised Sep 2018.
  312. Charlotte Dion & Sarah Lemler, 2020. "Nonparametric drift estimation for diffusions with jumps driven by a Hawkes process," Statistical Inference for Stochastic Processes, Springer, vol. 23(3), pages 489-515, October.
  313. Yoshifumi Tsuchida, 2023. "Control Variate Method for Deep BSDE Solver Using Weak Approximation," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 30(2), pages 273-296, June.
  314. Stéphane Crépey & Shiqi Song, 2014. "BSDEs of Counterparty Risk," Working Papers hal-01088941, HAL.
  315. Confortola, Fulvia, 2007. "Dissipative backward stochastic differential equations with locally Lipschitz nonlinearity," Stochastic Processes and their Applications, Elsevier, vol. 117(5), pages 613-628, May.
  316. BALLY Vlad & PAGÈS Gilles & PRINTEMS Jacques, 2001. "A stochastic quantization method for nonlinear problems," Monte Carlo Methods and Applications, De Gruyter, vol. 7(1-2), pages 21-34, December.
  317. Hu, Ying & Wen, Jiaqiang & Xiong, Jie, 2024. "Backward doubly stochastic differential equations and SPDEs with quadratic growth," Stochastic Processes and their Applications, Elsevier, vol. 175(C).
  318. Stefan Geiss & Emmanuel Gobet, 2011. "Fractional smoothness and applications in Finance," Post-Print hal-00474803, HAL.
  319. Christophe Denis & Charlotte Dion‐Blanc & Eddy Ella‐Mintsa & Viet Chi Tran, 2024. "Nonparametric plug‐in classifier for multiclass classification of S.D.E. paths," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 51(3), pages 1103-1160, September.
  320. Tianyang Nie & Marek Rutkowski, 2015. "Fair Bilateral Prices In Bergman’S Model With Exogenous Collateralization," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1-26, November.
  321. Yumo Zhang, 2023. "Utility maximization in a stochastic affine interest rate and CIR risk premium framework: a BSDE approach," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 97-128, June.
  322. Daniel Bartl & Ariel Neufeld & Kyunghyun Park, 2023. "Sensitivity of robust optimization problems under drift and volatility uncertainty," Papers 2311.11248, arXiv.org, revised Feb 2025.
  323. Yang, Zhe & Elliott, Robert J., 2013. "A converse comparison theorem for anticipated BSDEs and related non-linear expectations," Stochastic Processes and their Applications, Elsevier, vol. 123(2), pages 275-299.
  324. Elliott, Robert & Qiu, Jinniao & Wei, Wenning, 2022. "Neumann problem for backward SPDEs with singular terminal conditions and application in constrained stochastic control under target zone," Stochastic Processes and their Applications, Elsevier, vol. 148(C), pages 68-97.
  325. Badescu, Alexandru & Elliott, Robert J. & Ortega, Juan-Pablo, 2014. "Quadratic hedging schemes for non-Gaussian GARCH models," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 13-32.
  326. Akira Kashiwabara & Nobuhiro Nakamura, 2011. "Dynamic Investment Strategies to Reaction–Diffusion Systems Based upon Stochastic Differential Utilities," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 18(2), pages 131-150, May.
  327. Lucio Fiorin & Gilles Pagès & Abass Sagna, 2019. "Product Markovian Quantization of a Diffusion Process with Applications to Finance," Methodology and Computing in Applied Probability, Springer, vol. 21(4), pages 1087-1118, December.
  328. Grigorova, Miryana & Quenez, Marie-Claire & Sulem, Agnès, 2019. "Superhedging prices of European and American options in a non-linear incomplete market with default," Center for Mathematical Economics Working Papers 607, Center for Mathematical Economics, Bielefeld University.
  329. Xu, Jing & Zhang, Bo, 2009. "Martingale characterization of G-Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 119(1), pages 232-248, January.
  330. Min Li & Tianyang Nie & Shujun Wang & Ke Yan, 2024. "Incomplete Information Mean-Field Games and Related Riccati Equations," Journal of Optimization Theory and Applications, Springer, vol. 203(3), pages 2487-2508, December.
  331. Yushi Hamaguchi, 2018. "BSDEs driven by cylindrical martingales with application to approximate hedging in bond markets," Papers 1806.04025, arXiv.org.
  332. Dilip Madan, 2015. "Asset pricing theory for two price economies," Annals of Finance, Springer, vol. 11(1), pages 1-35, February.
  333. Tahir Choulli & Safa’ Alsheyab, 2024. "The Optimal Stopping Problem under a Random Horizon," Mathematics, MDPI, vol. 12(9), pages 1-15, April.
  334. Ji, Shaolin & Peng, Shige, 2008. "Terminal perturbation method for the backward approach to continuous time mean-variance portfolio selection," Stochastic Processes and their Applications, Elsevier, vol. 118(6), pages 952-967, June.
  335. Callegaro, Giorgia & Gnoatto, Alessandro & Grasselli, Martino, 2023. "A fully quantization-based scheme for FBSDEs," Applied Mathematics and Computation, Elsevier, vol. 441(C).
  336. Gong, Benxue & Rui, Hongxing, 2015. "One order numerical scheme for forward–backward stochastic differential equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 220-231.
  337. Junna Bi & Qingbin Meng & Yongji Zhang, 2014. "Dynamic mean-variance and optimal reinsurance problems under the no-bankruptcy constraint for an insurer," Annals of Operations Research, Springer, vol. 212(1), pages 43-59, January.
  338. T Kruse & A Popier, 2015. "Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting," Working Papers hal-01139364, HAL.
  339. Issoglio, Elena & Jing, Shuai, 2020. "Forward–backward SDEs with distributional coefficients," Stochastic Processes and their Applications, Elsevier, vol. 130(1), pages 47-78.
  340. Wang, Tianxiao & Yong, Jiongmin, 2019. "Backward stochastic Volterra integral equations—Representation of adapted solutions," Stochastic Processes and their Applications, Elsevier, vol. 129(12), pages 4926-4964.
  341. Dela Vega, Engel John C. & Elliott, Robert J., 2022. "Backward stochastic differential equations with regime-switching and sublinear expectations," Stochastic Processes and their Applications, Elsevier, vol. 148(C), pages 278-298.
  342. Marie-Amelie Morlais, 2006. "Utility Maximization in a jump market model," Papers math/0612181, arXiv.org, revised May 2008.
  343. Tianyang Nie & Edward Kim & Marek Rutkowski, 2018. "Arbitrage-Free Pricing of Game Options in Nonlinear Markets," Papers 1807.05448, arXiv.org.
  344. Vorbrink, Jörg, 2016. "American options with multiple priors in continuous time," Center for Mathematical Economics Working Papers 448, Center for Mathematical Economics, Bielefeld University.
  345. Eddy Ella-Mintsa, 2024. "Nonparametric estimation of the diffusion coefficient from i.i.d. S.D.E. paths," Statistical Inference for Stochastic Processes, Springer, vol. 27(3), pages 585-640, October.
  346. Olivier Menoukeu Pamen, 2015. "Optimal Control for Stochastic Delay Systems Under Model Uncertainty: A Stochastic Differential Game Approach," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 998-1031, December.
  347. Ryan Donnelly & Sebastian Jaimungal, 2022. "Exploratory Control with Tsallis Entropy for Latent Factor Models," Papers 2211.07622, arXiv.org, revised Jan 2024.
  348. A. Agarwal & S. De Marco & E. Gobet & J. G. Lopez-Salas & F. Noubiagain & A. Zhou, 2024. "Numerical approximations of McKean Anticipative Backward Stochastic Differential Equations arising in Initial Margin requirements," Papers 2408.01185, arXiv.org.
  349. Stéphane Crépey & Shiqi Song, 2016. "Counterparty risk and funding: immersion and beyond," Finance and Stochastics, Springer, vol. 20(4), pages 901-930, October.
  350. Jakša Cvitanić & Jin Ma & Jianfeng Zhang, 2003. "Efficient Computation of Hedging Portfolios for Options with Discontinuous Payoffs," Mathematical Finance, Wiley Blackwell, vol. 13(1), pages 135-151, January.
  351. Yiqing Lin & Zhenjie Ren & Nizar Touzi & Junjian Yang, 2020. "Random horizon principal-agent problems," Papers 2002.10982, arXiv.org, revised Feb 2022.
  352. dos Reis, Gonçalo & Réveillac, Anthony & Zhang, Jianing, 2011. "FBSDEs with time delayed generators: Lp-solutions, differentiability, representation formulas and path regularity," Stochastic Processes and their Applications, Elsevier, vol. 121(9), pages 2114-2150, September.
  353. Zhang, Huanjun & Yan, Zhiguo, 2020. "Backward stochastic optimal control with mixed deterministic controller and random controller and its applications in linear-quadratic control," Applied Mathematics and Computation, Elsevier, vol. 369(C).
  354. Barrasso, Adrien & Russo, Francesco, 2021. "Martingale driven BSDEs, PDEs and other related deterministic problems," Stochastic Processes and their Applications, Elsevier, vol. 133(C), pages 193-228.
  355. Peng, Xingchun & Chen, Fenge & Wang, Wenyuan, 2021. "Robust optimal investment and reinsurance for an insurer with inside information," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 15-30.
  356. Lorenc Kapllani & Long Teng, 2020. "Deep learning algorithms for solving high dimensional nonlinear backward stochastic differential equations," Papers 2010.01319, arXiv.org, revised Jun 2022.
  357. Narayan Ganesan & Yajie Yu & Bernhard Hientzsch, 2020. "Pricing Barrier Options with DeepBSDEs," Papers 2005.10966, arXiv.org, revised Sep 2024.
  358. Thibaut Mastrolia & Zhenjie Ren, 2017. "Principal-Agent Problem with Common Agency without Communication," Papers 1706.02936, arXiv.org, revised Jan 2018.
  359. Antonelli, Fabio & Hamadène, SaI¨d, 2006. "Existence of the solutions of backward-forward SDE's with continuous monotone coefficients," Statistics & Probability Letters, Elsevier, vol. 76(14), pages 1559-1569, August.
  360. Masaaki Fujii & Akihiko Takahashi, 2015. "Quadratic-exponential growth BSDEs with Jumps and their Malliavin's Differentiability," Papers 1512.05924, arXiv.org, revised Sep 2017.
  361. Bensoussan, Alain & Li, Yiqun & Yam, Sheung Chi Phillip, 2018. "Backward stochastic dynamics with a subdifferential operator and non-local parabolic variational inequalities," Stochastic Processes and their Applications, Elsevier, vol. 128(2), pages 644-688.
  362. Briand, Ph. & Delyon, B. & Hu, Y. & Pardoux, E. & Stoica, L., 2003. "Lp solutions of backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 108(1), pages 109-129, November.
  363. Haojie Wang & Han Chen & Agus Sudjianto & Richard Liu & Qi Shen, 2018. "Deep Learning-Based BSDE Solver for Libor Market Model with Application to Bermudan Swaption Pricing and Hedging," Papers 1807.06622, arXiv.org, revised Sep 2018.
  364. Kim, Kon-Gun & Kim, Mun-Chol & Hwang, Ho-Jin, 2024. "Representation of solutions to quadratic 2BSDEs with unbounded terminal values," Statistics & Probability Letters, Elsevier, vol. 213(C).
  365. Owo, Jean-Marc, 2015. "Backward doubly stochastic differential equations with stochastic Lipschitz condition," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 75-84.
  366. Liu, Yang & Liang, Yanzi & Lan, Xinchen & Lu, Zheng, 2024. "Nonparametric statistical inference for stochastic optimal control problems and its applications for financial investment," Finance Research Letters, Elsevier, vol. 64(C).
  367. Qi Zhang & Huaizhong Zhao, 2012. "Probabilistic Representation of Weak Solutions of Partial Differential Equations with Polynomial Growth Coefficients," Journal of Theoretical Probability, Springer, vol. 25(2), pages 396-423, June.
  368. Teppei Ogihara & Mitja Stadje, 2024. "Efficient drift parameter estimation for ergodic solutions of backward SDEs," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 51(3), pages 1181-1205, September.
  369. Cyril B'en'ezet & Jean-Franc{c}ois Chassagneux & Christoph Reisinger, 2019. "A numerical scheme for the quantile hedging problem," Papers 1902.11228, arXiv.org.
  370. Max Nendel, 2021. "Markov chains under nonlinear expectation," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 474-507, January.
  371. Roger J. A. Laeven & Mitja Stadje, 2014. "Robust Portfolio Choice and Indifference Valuation," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1109-1141, November.
  372. Chen, Yingshan & Dai, Min & Xu, Jing & Xu, Mingyu, 2015. "Superhedging under ratio constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 250-264.
  373. Nicole EL KAROUI & Claudia RAVANELLI, 2008. "Cash Sub-additive Risk Measures and Interest Rate Ambiguity," Swiss Finance Institute Research Paper Series 08-09, Swiss Finance Institute.
  374. Wen, Jiaqiang & Shi, Yufeng, 2017. "Anticipative backward stochastic differential equations driven by fractional Brownian motion," Statistics & Probability Letters, Elsevier, vol. 122(C), pages 118-127.
  375. Wang, Hao & Wang, Rongming & Wei, Jiaqin, 2019. "Time-consistent investment-proportional reinsurance strategy with random coefficients for mean–variance insurers," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 104-114.
  376. Yushi Hamaguchi, 2019. "Time-inconsistent consumption-investment problems in incomplete markets under general discount functions," Papers 1912.01281, arXiv.org, revised Mar 2021.
  377. Hu, Ying & Lemonnier, Florian, 2019. "Ergodic BSDE with unbounded and multiplicative underlying diffusion and application to large time behaviour of viscosity solution of HJB equation," Stochastic Processes and their Applications, Elsevier, vol. 129(10), pages 4009-4050.
  378. Etienne Chevalier & Thomas Lim & Ricardo Romo Roméro, 2014. "Indifference fee rate for variable annuities," Working Papers hal-01017157, HAL.
  379. Romuald Elie & Thibaut Mastrolia & Dylan Possamaï, 2019. "A Tale of a Principal and Many, Many Agents," Mathematics of Operations Research, INFORMS, vol. 44(2), pages 440-467, May.
  380. Wayne King Ming Chan, 2015. "RAROC-Based Contingent Claim Valuation," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 21, July-Dece.
  381. Christian Bender & Christian Gaertner & Nikolaus Schweizer, 2016. "Pathwise Iteration for Backward SDEs," Papers 1605.07500, arXiv.org, revised Jun 2016.
  382. Hu, Ying & Yong, Jiongmin, 2000. "Forward-backward stochastic differential equations with nonsmooth coefficients," Stochastic Processes and their Applications, Elsevier, vol. 87(1), pages 93-106, May.
  383. Li, Juan & Wei, Qingmeng, 2014. "Lp estimates for fully coupled FBSDEs with jumps," Stochastic Processes and their Applications, Elsevier, vol. 124(4), pages 1582-1611.
  384. Jean-François Chassagneux & Romuald Elie & Idris Kharroubi, 2015. "When terminal facelift enforces delta constraints," Finance and Stochastics, Springer, vol. 19(2), pages 329-362, April.
  385. Song, Wenjie & Wu, Panyu & Zhang, Guodong, 2021. "Jensen’s inequality for g-expectations in general filtration spaces," Statistics & Probability Letters, Elsevier, vol. 169(C).
  386. Abdelkarim Oualaid & Khaled Bahlali & Youssef Ouknine, 2023. "Reflected Backward Stochastic Differential Equations Associated to Jump Markov Processes and Application to Partial Differential Equations," Journal of Theoretical Probability, Springer, vol. 36(3), pages 1400-1436, September.
  387. Delong, Łukasz, 2014. "Pricing and hedging of variable annuities with state-dependent fees," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 24-33.
  388. Chol-Kyu Pak & Mun-Chol Kim & Chang-Ho Rim, 2018. "Adapted $\theta$-Scheme and Its Error Estimates for Backward Stochastic Differential Equations," Papers 1808.02173, arXiv.org.
  389. Labart Céline & Lelong Jérôme, 2013. "A parallel algorithm for solving BSDEs," Monte Carlo Methods and Applications, De Gruyter, vol. 19(1), pages 11-39, March.
  390. Reda Chhaibi & Ibrahim Ekren & Eunjung Noh & Lu Vy, 2022. "A unified approach to informed trading via Monge-Kantorovich duality," Papers 2210.17384, arXiv.org.
  391. Lijun Bo & Agostino Capponi, 2017. "Optimal Credit Investment with Borrowing Costs," Mathematics of Operations Research, INFORMS, vol. 42(2), pages 546-575, May.
  392. Claudia Ceci & Katia Colaneri & Alessandra Cretarola, 2018. "Indifference pricing of pure endowments via BSDEs under partial information," Papers 1804.00223, arXiv.org, revised Jul 2020.
  393. Jia, Guangyan, 2010. "Backward stochastic differential equations with a uniformly continuous generator and related g-expectation," Stochastic Processes and their Applications, Elsevier, vol. 120(11), pages 2241-2257, November.
  394. Kyoung Jin Choi & Hyeng Keun Koo & Do Young Kwak, 2004. "Optimal Stopping of Active Portfolio Management," Annals of Economics and Finance, Society for AEF, vol. 5(1), pages 93-126, May.
  395. Mustafa Akan & Barış Ata, 2009. "Bid-Price Controls for Network Revenue Management: Martingale Characterization of Optimal Bid Prices," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 912-936, November.
  396. Freddy Delbaen & Shige Peng & Emanuela Rosazza Gianin, 2010. "Representation of the penalty term of dynamic concave utilities," Finance and Stochastics, Springer, vol. 14(3), pages 449-472, September.
  397. T Kruse & A Popier, 2015. "Minimal supersolutions for BSDEs with singular terminal condition and application to optimal position targeting," Papers 1504.01150, arXiv.org, revised Dec 2015.
  398. Ricardo Josa-Fombellida & Juan Rincón-Zapatero, 2015. "Euler–Lagrange equations of stochastic differential games: application to a game of a productive asset," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 61-108, May.
  399. Jaroslav Borovicka, 2009. "Heterogeneous beliefs under recursive preferences," 2009 Meeting Papers 892, Society for Economic Dynamics.
  400. Zhongyang Sun & Junyi Guo & Xin Zhang, 2018. "Maximum Principle for Markov Regime-Switching Forward–Backward Stochastic Control System with Jumps and Relation to Dynamic Programming," Journal of Optimization Theory and Applications, Springer, vol. 176(2), pages 319-350, February.
  401. Hu, Ying & Ma, JinJin, 2004. "Nonlinear Feynman-Kac formula and discrete-functional-type BSDEs with continuous coefficients," Stochastic Processes and their Applications, Elsevier, vol. 112(1), pages 23-51, July.
  402. Ankush Agarwal & Stefano de Marco & Emmanuel Gobet & José G López-Salas & Fanny Noubiagain & Alexandre Zhou, 2019. "Numerical approximations of McKean Anticipative Backward Stochastic Differential Equations arising in Initial Margin requirements," Post-Print hal-01686952, HAL.
  403. Damiano Brigo & Cristin Buescu & Marco Francischello & Andrea Pallavicini & Marek Rutkowski, 2018. "Risk-neutral valuation under differential funding costs, defaults and collateralization," Papers 1802.10228, arXiv.org.
  404. Tianyang Nie & Marek Rutkowski, 2014. "Fair and profitable bilateral prices under funding costs and collateralization," Papers 1410.0448, arXiv.org, revised Dec 2014.
  405. Jana Bielagk & Arnaud Lionnet & Gonçalo dos Reis, 2015. "Equilibrium pricing under relative performance concerns," Working Papers hal-01245812, HAL.
  406. Roxana Dumitrescu & Marie-Claire Quenez & Agn`es Sulem, 2015. "Game options in an imperfect market with default," Papers 1511.09041, arXiv.org, revised Jul 2017.
  407. Cody Hyndman & Xinghua Zhou, 2014. "Explicit solutions of quadratic FBSDEs arising from quadratic term structure models," Papers 1410.1220, arXiv.org, revised Dec 2014.
  408. Andrew Lesniewski & Anja Richter, 2016. "Managing counterparty credit risk via BSDEs," Papers 1608.03237, arXiv.org, revised Aug 2016.
  409. Thibaut Mastrolia, 2017. "Moral hazard in welfare economics: on the advantage of Planner's advices to manage employees' actions," Papers 1706.01254, arXiv.org.
  410. Bouchard, Bruno & Touzi, Nizar, 2004. "Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 111(2), pages 175-206, June.
  411. Li, Min & Shi, Yufeng, 2016. "Solving the double barrier reflected BSDEs via penalization method," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 74-83.
  412. Christian Bender & Christian Gärtner & Nikolaus Schweizer, 2018. "Pathwise Dynamic Programming," Mathematics of Operations Research, INFORMS, vol. 43(3), pages 965-965, August.
  413. Qi Zeng & Hae Won (Henny) Jung, 2014. "Optimal Contract, Ownership Structure and Asset Pricing," 2014 Meeting Papers 911, Society for Economic Dynamics.
  414. Sigrid Källblad & Jan Obłój & Thaleia Zariphopoulou, 2018. "Dynamically consistent investment under model uncertainty: the robust forward criteria," Finance and Stochastics, Springer, vol. 22(4), pages 879-918, October.
  415. Zhou, Qing & Wu, Weixing & Wang, Zengwu, 2008. "Cooperative hedging with a higher interest rate for borrowing," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 609-616, April.
  416. Attaoui, Sami & Cao, Wenbin & Duan, Xiaoman & Liu, Hening, 2021. "Optimal capital structure, ambiguity aversion, and leverage puzzles," Journal of Economic Dynamics and Control, Elsevier, vol. 129(C).
  417. Kihun Nam, 2019. "Global Well-posedness of Non-Markovian Multidimensional Superquadratic BSDE," Papers 1912.03692, arXiv.org, revised Jan 2022.
  418. Thibaut Mastrolia & Zhenjie Ren, 2018. "Principal-Agent Problem with Common Agency without Communication," Working Papers hal-01534611, HAL.
  419. Dirk Becherer & Klebert Kentia, 2017. "Hedging under generalized good-deal bounds and model uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 171-214, August.
  420. Miryana Grigorova & Marie-Claire Quenez & Agnès Sulem, 2019. "European options in a non-linear incomplete market model with default," Working Papers hal-02025833, HAL.
  421. Grün, Christine, 2012. "A BSDE approach to stochastic differential games with incomplete information," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1917-1946.
  422. Zhou, Qing & Ren, Yong, 2012. "Reflected backward stochastic differential equations with time delayed generators," Statistics & Probability Letters, Elsevier, vol. 82(5), pages 979-990.
  423. Emmanuel Gobet & Isaque Pimentel & Xavier Warin, 2020. "Option valuation and hedging using an asymmetric risk function: asymptotic optimality through fully nonlinear partial differential equations," Finance and Stochastics, Springer, vol. 24(3), pages 633-675, July.
  424. Graewe, Paulwin & Popier, Alexandre, 2021. "Asymptotic approach for backward stochastic differential equation with singular terminal condition," Stochastic Processes and their Applications, Elsevier, vol. 133(C), pages 247-277.
  425. Zheng, Shiqiu, 2024. "On g-expectations and filtration-consistent nonlinear expectations," Stochastic Processes and their Applications, Elsevier, vol. 178(C).
  426. Roger J. A. Laeven & Emanuela Rosazza Gianin & Marco Zullino, 2024. "Geometric BSDEs," Papers 2405.09260, arXiv.org, revised Jul 2024.
  427. Junbeom Lee & Chao Zhou, 2017. "Binary Funding Impacts in Derivative Valuation," Papers 1703.00259, arXiv.org, revised Aug 2020.
  428. Fuhrman, Marco, 2003. "A class of stochastic optimal control problems in Hilbert spaces: BSDEs and optimal control laws, state constraints, conditioned processes," Stochastic Processes and their Applications, Elsevier, vol. 108(2), pages 263-298, December.
  429. Carole Bernard & Shaolin Ji & Weidong Tian, 2013. "An optimal insurance design problem under Knightian uncertainty," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 36(2), pages 99-124, November.
  430. Kraft, Holger & Seifried, Frank Thomas, 2014. "Stochastic differential utility as the continuous-time limit of recursive utility," Journal of Economic Theory, Elsevier, vol. 151(C), pages 528-550.
  431. Lin, Qian, 2009. "A class of backward doubly stochastic differential equations with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2223-2229, October.
  432. Holger Kraft & Thomas Seiferling & Frank Thomas Seifried, 2017. "Optimal consumption and investment with Epstein–Zin recursive utility," Finance and Stochastics, Springer, vol. 21(1), pages 187-226, January.
  433. Jonas Blessing & Michael Kupper & Alessandro Sgarabottolo, 2024. "Discrete approximation of risk-based prices under volatility uncertainty," Papers 2411.00713, arXiv.org.
  434. Yan, Tingjin & Wong, Hoi Ying, 2020. "Open-loop equilibrium reinsurance-investment strategy under mean–variance criterion with stochastic volatility," Insurance: Mathematics and Economics, Elsevier, vol. 90(C), pages 105-119.
  435. Masaaki Fujii & Akihiko Takahashi & Masayuki Takahashi, 2019. "Asymptotic Expansion as Prior Knowledge in Deep Learning Method for High dimensional BSDEs," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 26(3), pages 391-408, September.
  436. Jian-Huang She & Dan Grecu, 2018. "Neural Network for CVA: Learning Future Values," Papers 1811.08726, arXiv.org.
  437. Yang Shen & Tak Kuen Siu, 2018. "A Risk-Based Approach for Asset Allocation with A Defaultable Share," Risks, MDPI, vol. 6(1), pages 1-27, February.
  438. Eduard Rotenstein, 2008. "Pricing financial derivatives by a minimizing method," Papers 0811.4613, arXiv.org, revised Oct 2013.
  439. Peng, Xingchun & Chen, Fenge & Hu, Yijun, 2014. "Optimal investment, consumption and proportional reinsurance under model uncertainty," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 222-234.
  440. Hernández, Camilo, 2023. "On quadratic multidimensional type-I BSVIEs, infinite families of BSDEs and their applications," Stochastic Processes and their Applications, Elsevier, vol. 162(C), pages 249-298.
  441. Roger J. A. Laeven & Emanuela Rosazza Gianin & Marco Zullino, 2023. "Dynamic Return and Star-Shaped Risk Measures via BSDEs," Papers 2307.03447, arXiv.org, revised Jul 2023.
  442. Guangbao Guo, 2018. "Finite Difference Methods for the BSDEs in Finance," IJFS, MDPI, vol. 6(1), pages 1-15, March.
  443. Antonis Papapantoleon & Dylan Possamai & Alexandros Saplaouras, 2016. "Existence and uniqueness results for BSDEs with jumps: the whole nine yards," Papers 1607.04214, arXiv.org, revised Nov 2018.
  444. Gnameho Kossi & Stadje Mitja & Pelsser Antoon, 2024. "A gradient method for high-dimensional BSDEs," Monte Carlo Methods and Applications, De Gruyter, vol. 30(2), pages 183-203.
  445. Adrien Barrasso & Francesco Russo, 2021. "Backward Stochastic Differential Equations with No Driving Martingale, Markov Processes and Associated Pseudo-Partial Differential Equations: Part II—Decoupled Mild Solutions and Examples," Journal of Theoretical Probability, Springer, vol. 34(3), pages 1110-1148, September.
  446. Damiano Brigo & Federico Graceffa & Alexander Kalinin, 2021. "Mild to classical solutions for XVA equations under stochastic volatility," Papers 2112.11808, arXiv.org.
  447. Akihiko Takahashi & Toshihiro Yamada, 2016. "An Asymptotic Expansion for Forward–Backward SDEs: A Malliavin Calculus Approach," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 23(4), pages 337-373, December.
  448. Delong, Lukasz & Imkeller, Peter, 2010. "On Malliavin's differentiability of BSDEs with time delayed generators driven by Brownian motions and Poisson random measures," Stochastic Processes and their Applications, Elsevier, vol. 120(9), pages 1748-1775, August.
  449. Ulrich Horst & Xiaonyu Xia & Chao Zhou, 2019. "Portfolio liquidation under factor uncertainty," Papers 1909.00748, arXiv.org.
  450. Izumi, Yuki, 2013. "The Lp Cauchy sequence for one-dimensional BSDEs with linear growth generators," Statistics & Probability Letters, Elsevier, vol. 83(6), pages 1588-1594.
  451. Chaofan Sun & Ken Seng Tan & Wei Wei, 2022. "Credit Valuation Adjustment with Replacement Closeout: Theory and Algorithms," Papers 2201.09105, arXiv.org, revised Jan 2022.
  452. Qian Lei & Chi Seng Pun, 2023. "On the Well-posedness of Hamilton-Jacobi-Bellman Equations of the Equilibrium Type," Papers 2307.01986, arXiv.org.
  453. Safa Alsheyab & Tahir Choulli, 2021. "Reflected backward stochastic differential equations under stopping with an arbitrary random time," Papers 2107.11896, arXiv.org.
  454. Wei, Jiaqin & Wang, Tianxiao, 2017. "Time-consistent mean–variance asset–liability management with random coefficients," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 84-96.
  455. Bernhard Hientzsch, 2019. "Introduction to Solving Quant Finance Problems with Time-Stepped FBSDE and Deep Learning," Papers 1911.12231, arXiv.org.
  456. Fan, ShengJun & Jiang, Long, 2012. "One-dimensional BSDEs with left-continuous, lower semi-continuous and linear-growth generators," Statistics & Probability Letters, Elsevier, vol. 82(10), pages 1792-1798.
  457. Jiang, Long, 2005. "Representation theorems for generators of backward stochastic differential equations and their applications," Stochastic Processes and their Applications, Elsevier, vol. 115(12), pages 1883-1903, December.
  458. Stoica, I. L., 2003. "A probabilistic interpretation of the divergence and BSDE's," Stochastic Processes and their Applications, Elsevier, vol. 103(1), pages 31-55, January.
  459. Briand, Philippe & Delyon, Bernard & Mémin, Jean, 2002. "On the robustness of backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 97(2), pages 229-253, February.
  460. Kharroubi Idris & Lim Thomas & Warin Xavier, 2021. "Discretization and machine learning approximation of BSDEs with a constraint on the Gains-process," Monte Carlo Methods and Applications, De Gruyter, vol. 27(1), pages 27-55, March.
  461. Delbaen, Freddy & Qiu, Jinniao & Tang, Shanjian, 2015. "Forward–backward stochastic differential systems associated to Navier–Stokes equations in the whole space," Stochastic Processes and their Applications, Elsevier, vol. 125(7), pages 2516-2561.
  462. Samuel N. Cohen & Robert J. Elliott, 2008. "Comparisons for backward stochastic differential equations on Markov chains and related no-arbitrage conditions," Papers 0810.0055, arXiv.org, revised Jan 2010.
  463. Stéphane Crépey & Shiqi Song, 2014. "Counterparty risk and funding: Immersion and beyond," Working Papers hal-00989062, HAL.
  464. Krätschmer, Volker & Schoenmakers, John G. M., 2009. "Representations for optimal stopping under dynamic monetary utility functionals," SFB 649 Discussion Papers 2009-055, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
  465. Tianyang Nie & Marek Rutkowski, 2014. "A BSDE approach to fair bilateral pricing under endogenous collateralization," Papers 1412.2453, arXiv.org.
  466. Lu, Wen & Ren, Yong, 2013. "Anticipated backward stochastic differential equations on Markov chains," Statistics & Probability Letters, Elsevier, vol. 83(7), pages 1711-1719.
  467. Masaaki Fujii & Akihiko Takahashi, 2011. "Analytical Approximation for Non-linear FBSDEs with Perturbation Scheme," Papers 1106.0123, arXiv.org, revised Jan 2012.
  468. Shengqiu Sun, 2022. "Backward Stochastic Differential Equations Driven by G-Brownian Motion with Uniformly Continuous Coefficients in (y, z)," Journal of Theoretical Probability, Springer, vol. 35(1), pages 370-409, March.
  469. Liu, Haodong & Yang, Shuzhen, 2017. "Representation and converse comparison theorems for multidimensional BSDEs," Statistics & Probability Letters, Elsevier, vol. 127(C), pages 67-74.
  470. Tomasz R. Bielecki & Igor Cialenco & Tao Chen, 2014. "Dynamic Conic Finance via Backward Stochastic Difference Equations," Papers 1412.6459, arXiv.org, revised Dec 2014.
  471. Buckdahn, Rainer & Li, Juan & Peng, Shige, 2009. "Mean-field backward stochastic differential equations and related partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3133-3154, October.
  472. Fan, Xiliang & Ren, Yong & Zhu, Dongjin, 2010. "A note on the doubly reflected backward stochastic differential equations driven by a Lévy process," Statistics & Probability Letters, Elsevier, vol. 80(7-8), pages 690-696, April.
  473. Erhan Bayraktar & Song Yao, 2009. "Optimal Stopping for Non-linear Expectations," Papers 0905.3601, arXiv.org, revised Jan 2011.
  474. Schroder, Mark & Skiadas, Costis, 1999. "Optimal Consumption and Portfolio Selection with Stochastic Differential Utility," Journal of Economic Theory, Elsevier, vol. 89(1), pages 68-126, November.
  475. Chen, Zengjing & Epstein, Larry G., 2022. "A central limit theorem for sets of probability measures," Stochastic Processes and their Applications, Elsevier, vol. 152(C), pages 424-451.
  476. Alberto Gennaro & Thibaut Mastrolia, 2024. "Delegated portfolio management with random default," Papers 2410.13103, arXiv.org.
  477. Matoussi, Anis & Xing, Hao, 2018. "Convex duality for Epstein-Zin stochastic differential utility," LSE Research Online Documents on Economics 82519, London School of Economics and Political Science, LSE Library.
  478. Shujun Wang, 2025. "Backward Anticipated Social Optima: Input Constraints and Partial Information," Mathematics, MDPI, vol. 13(2), pages 1-27, January.
  479. Rosazza Gianin, Emanuela, 2006. "Risk measures via g-expectations," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 19-34, August.
  480. Giorgio Fabbri & Fausto Gozzi & Andrzej Swiech, 2017. "Stochastic Optimal Control in Infinite Dimensions - Dynamic Programming and HJB Equations," Post-Print hal-01505767, HAL.
  481. Zhongyang Sun & Junyi Guo, 2018. "Optimal mean–variance investment and reinsurance problem for an insurer with stochastic volatility," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(1), pages 59-79, August.
  482. Peng, Shige & Shi, Yufeng, 2000. "Infinite horizon forward-backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 85(1), pages 75-92, January.
  483. Xing, Hao & Žitković, Gordan, 2018. "A class of globally solvable Markovian quadratic BSDE systems and applications," LSE Research Online Documents on Economics 73440, London School of Economics and Political Science, LSE Library.
  484. Peng, Shige, 2000. "Problem of eigenvalues of stochastic Hamiltonian systems with boundary conditions," Stochastic Processes and their Applications, Elsevier, vol. 88(2), pages 259-290, August.
  485. Jackson, Joe, 2023. "The reverse Hölder inequality for matrix-valued stochastic exponentials and applications to quadratic BSDE systems," Stochastic Processes and their Applications, Elsevier, vol. 160(C), pages 1-32.
  486. Du, Kai & Meng, Qingxin, 2010. "A revisit to -theory of super-parabolic backward stochastic partial differential equations in," Stochastic Processes and their Applications, Elsevier, vol. 120(10), pages 1996-2015, September.
  487. Quenez, Marie-Claire & Sulem, Agnès, 2013. "BSDEs with jumps, optimization and applications to dynamic risk measures," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 3328-3357.
  488. Tak Siu, 2012. "A BSDE approach to risk-based asset allocation of pension funds with regime switching," Annals of Operations Research, Springer, vol. 201(1), pages 449-473, December.
  489. Yang Shen, 2020. "Effect of Variance Swap in Hedging Volatility Risk," Risks, MDPI, vol. 8(3), pages 1-34, July.
  490. Sai Hung Marten Ting & Christian-Oliver Ewald, 2013. "On the performance of asymptotic locally risk minimising hedges in the Heston stochastic volatility model," Quantitative Finance, Taylor & Francis Journals, vol. 13(6), pages 939-954, May.
  491. Miryana Grigorova & Marie-Claire Quenez & Agnès Sulem, 2020. "European options in a non-linear incomplete market model with default," Post-Print hal-02025833, HAL.
  492. Samuel N. Cohen & Victor Fedyashov, 2015. "Nash equilibria for non zero-sum ergodic stochastic differential games," Papers 1511.02716, arXiv.org, revised Jun 2017.
  493. Djordjević, Jasmina & Janković, Svetlana, 2015. "Backward stochastic Volterra integral equations with additive perturbations," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 903-910.
  494. Alessandro Calvia & Emanuela Rosazza Gianin, 2019. "Risk measures and progressive enlargement of filtration: a BSDE approach," Papers 1904.13257, arXiv.org, revised Mar 2020.
  495. Nie, Tianyang & Rutkowski, Marek, 2014. "Multi-player stopping games with redistribution of payoffs and BSDEs with oblique reflection," Stochastic Processes and their Applications, Elsevier, vol. 124(8), pages 2672-2698.
  496. Royer, Manuela, 2006. "Backward stochastic differential equations with jumps and related non-linear expectations," Stochastic Processes and their Applications, Elsevier, vol. 116(10), pages 1358-1376, October.
  497. Yannacopoulos, Athanasios N., 2008. "Rational expectations models: An approach using forward-backward stochastic differential equations," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 251-276, February.
  498. Ludovic Tangpi, 2018. "Concentration of dynamic risk measures in a Brownian filtration," Papers 1805.09014, arXiv.org.
  499. Samuel N. Cohen & Victor Fedyashov, 2014. "Ergodic BSDEs with jumps and time dependence," Papers 1406.4329, arXiv.org, revised Nov 2015.
  500. repec:hal:wpaper:hal-01686952 is not listed on IDEAS
  501. Dirk Becherer, 2007. "Bounded solutions to backward SDE's with jumps for utility optimization and indifference hedging," Papers math/0702405, arXiv.org.
  502. Bendera, Christian & Moseler, Thilo, 2008. "Importance sampling for backward SDEs," CoFE Discussion Papers 08/11, University of Konstanz, Center of Finance and Econometrics (CoFE).
  503. Johannes Muhle‐Karbe & Marcel Nutz & Xiaowei Tan, 2020. "Asset pricing with heterogeneous beliefs and illiquidity," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1392-1421, October.
  504. Zhang, HengMin & Fan, ShengJun, 2013. "A representation theorem for generators of BSDEs with finite or infinite time intervals and linear-growth generators," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 724-734.
  505. Crisan, D. & Manolarakis, K. & Touzi, N., 2010. "On the Monte Carlo simulation of BSDEs: An improvement on the Malliavin weights," Stochastic Processes and their Applications, Elsevier, vol. 120(7), pages 1133-1158, July.
IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.