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Quadratic BSDEs driven by a continuous martingale and applications to the utility maximization problem

Citations

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Cited by:

  1. 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.
  2. 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.
  3. Joshua Aurand & Yu‐Jui Huang, 2023. "Epstein‐Zin utility maximization on a random horizon," Mathematical Finance, Wiley Blackwell, vol. 33(4), pages 1370-1411, October.
  4. Michael Mania & Marina Santacroce, 2008. "Exponential Utility Maximization under Partial Information," ICER Working Papers - Applied Mathematics Series 24-2008, ICER - International Centre for Economic Research.
  5. Ying Hu & Hanqing Jin & Xun Yu Zhou, 2011. "Time-Inconsistent Stochastic Linear--Quadratic Control," Papers 1111.0818, arXiv.org.
  6. Markus Mocha & Nicholas Westray, 2011. "The Stability of the Constrained Utility Maximization Problem - A BSDE Approach," Papers 1107.0190, arXiv.org.
  7. Horst, Ulrich & Hu, Ying & Imkeller, Peter & Réveillac, Anthony & Zhang, Jianing, 2014. "Forward–backward systems for expected utility maximization," Stochastic Processes and their Applications, Elsevier, vol. 124(5), pages 1813-1848.
  8. Dingqian Sun, 2020. "The convergence rate from discrete to continuous optimal investment stopping problem," Papers 2004.14627, arXiv.org.
  9. Hao Xing, 2017. "Consumption–investment optimization with Epstein–Zin utility in incomplete markets," Finance and Stochastics, Springer, vol. 21(1), pages 227-262, January.
  10. 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.
  11. Réveillac, Anthony, 2012. "On the orthogonal component of BSDEs in a Markovian setting," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 151-157.
  12. Hanqing Jin & Yimin Yang, 2014. "Time-Inconsistent Mean-Utility Portfolio Selection with Moving Target," Papers 1402.6760, arXiv.org.
  13. 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.
  14. Zixin Feng & Dejian Tian, 2021. "Optimal consumption and portfolio selection with Epstein-Zin utility under general constraints," Papers 2111.09032, arXiv.org, revised May 2023.
  15. Ali Al-Aradi & Sebastian Jaimungal, 2020. "A Variational Analysis Approach to Solving the Merton Problem," Papers 2003.08450, arXiv.org.
  16. Julia Ackermann & Thomas Kruse & Mikhail Urusov, 2021. "Càdlàg semimartingale strategies for optimal trade execution in stochastic order book models," Finance and Stochastics, Springer, vol. 25(4), pages 757-810, October.
  17. Masaaki Fujii & Akihiko Takahashi, 2016. "Quadratic-exponential growth BSDEs with Jumps and their Malliavin’s Differentiability (revised version of CARF-F-376)," CARF F-Series CARF-F-395, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  18. Wahid Faidi, 2022. "Optimal investment and consumption under logarithmic utility and uncertainty model," Papers 2211.05367, arXiv.org, revised Jun 2024.
  19. Thai Nguyen & Mitja Stadje, 2020. "Utility maximization under endogenous pricing," Papers 2005.04312, arXiv.org, revised Mar 2024.
  20. repec:hum:wpaper:sfb649dp2011-061 is not listed on IDEAS
  21. Masaaki Fujii & Akihiko Takahashi, 2017. "Quadratic-exponential growth BSDEs with Jumps and their Malliavin's Differentiability (Forthcoming in Stochastic Processes and their Applications)(revised version of CARF-F-395)," CARF F-Series CARF-F-420, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  22. Michael Mania & Marina Santacroce, 2010. "Exponential utility maximization under partial information," Finance and Stochastics, Springer, vol. 14(3), pages 419-448, September.
  23. Bayraktar, Erhan & Kravitz, Ross, 2013. "Stability of exponential utility maximization with respect to market perturbations," Stochastic Processes and their Applications, Elsevier, vol. 123(5), pages 1671-1690.
  24. Frei, Christoph & Mocha, Markus & Westray, Nicholas, 2012. "BSDEs in utility maximization with BMO market price of risk," Stochastic Processes and their Applications, Elsevier, vol. 122(6), pages 2486-2519.
  25. 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.
  26. Ying Hu & Gechun Liang & Shanjian Tang, 2018. "Systems of ergodic BSDEs arising in regime switching forward performance processes," Papers 1807.01816, arXiv.org, revised Jun 2020.
  27. Joshua Aurand & Yu-Jui Huang, 2019. "Epstein-Zin Utility Maximization on a Random Horizon," Papers 1903.08782, arXiv.org, revised May 2023.
  28. Zhao, Qian & Wang, Rongming & Wei, Jiaqin, 2016. "Exponential utility maximization for an insurer with time-inconsistent preferences," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 89-104.
  29. Gechun Liang & Thaleia Zariphopoulou, 2015. "Representation of homothetic forward performance processes in stochastic factor models via ergodic and infinite horizon BSDE," Papers 1511.04863, arXiv.org, revised Nov 2016.
  30. Thorsten Rheinländer & Jenny Sexton, 2011. "Hedging Derivatives," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8062, August.
  31. Kim, Kon-Gun & Kim, Mun-Chol & O, Hun, 2022. "Local existence and uniqueness of solutions to quadratic BSDEs with weak monotonicity and general growth generators," Statistics & Probability Letters, Elsevier, vol. 186(C).
  32. Masaaki Fujii & Akihiko Takahashi, 2015. "Quadratic-exponential Growth BSDEs with Jumps and their Malliavin's Differentiability," CIRJE F-Series CIRJE-F-997, CIRJE, Faculty of Economics, University of Tokyo.
  33. Marina Santacroce & Paola Siri & Barbara Trivellato, 2023. "Forward Backward SDEs Systems for Utility Maximization in Jump Diffusion Models," Papers 2302.08253, arXiv.org.
  34. 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.
  35. 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.
  36. 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.
  37. Covello, D. & Santacroce, M., 2010. "Power utility maximization under partial information: Some convergence results," Stochastic Processes and their Applications, Elsevier, vol. 120(10), pages 2016-2036, September.
  38. Hu, Ying & Lin, Yiqing & Soumana Hima, Abdoulaye, 2018. "Quadratic backward stochastic differential equations driven by G-Brownian motion: Discrete solutions and approximation," Stochastic Processes and their Applications, Elsevier, vol. 128(11), pages 3724-3750.
  39. 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.
  40. B. Chikvinidze & M. Mania, 2014. "New Proofs of Some Results on Bounded Mean Oscillation Martingales Using Backward Stochastic Differential Equations," Journal of Theoretical Probability, Springer, vol. 27(4), pages 1213-1228, December.
  41. 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.
  42. 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.
  43. 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.
  44. repec:dau:papers:123456789/7101 is not listed on IDEAS
  45. 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).
  46. Christoph Frei & Markus Mocha & Nicholas Westray, 2011. "BSDEs in Utility Maximization with BMO Market Price of Risk," Papers 1107.0183, arXiv.org, revised Feb 2012.
  47. Hao Xing, 2015. "Consumption investment optimization with Epstein-Zin utility in incomplete markets," Papers 1501.04747, arXiv.org, revised Nov 2015.
  48. Vicky Henderson & Gechun Liang, 2014. "Pseudo linear pricing rule for utility indifference valuation," Finance and Stochastics, Springer, vol. 18(3), pages 593-615, July.
  49. Masaaki Fujii & Akihiko Takahashi, 2015. "Quadratic-exponential growth BSDEs with Jumps and their Malliavin's Differentiability," Papers 1512.05924, arXiv.org, revised Sep 2017.
  50. 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.
  51. Julia Ackermann & Thomas Kruse & Mikhail Urusov, 2020. "C\`adl\`ag semimartingale strategies for optimal trade execution in stochastic order book models," Papers 2006.05863, arXiv.org, revised Jul 2021.
  52. 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.
  53. 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.
  54. Masaaki Fujii & Akihiko Takahashi, 2015. "Quadratic-exponential growth BSDEs with Jumps and their Malliavin’s Differentiability," CARF F-Series CARF-F-376, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
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