The Merton Problem with a Drawdown Constraint on Consumption
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- Vila, Jean-Luc & Zariphopoulou, Thaleia, 1997. "Optimal Consumption and Portfolio Choice with Borrowing Constraints," Journal of Economic Theory, Elsevier, vol. 77(2), pages 402-431, December.
- Romuald Elie & Nizar Touzi, 2008. "Optimal lifetime consumption and investment under a drawdown constraint," Finance and Stochastics, Springer, vol. 12(3), pages 299-330, July.
- Laurent Carraro & Nicole El Karoui & Jan Ob{l}'oj, 2009. "On Az\'ema-Yor processes, their optimal properties and the Bachelier-drawdown equation," Papers 0902.1328, arXiv.org, revised Sep 2012.
- Philip H. Dybvig, 1995. "Dusenberry's Ratcheting of Consumption: Optimal Dynamic Consumption and Investment Given Intolerance for any Decline in Standard of Living," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(2), pages 287-313.
- Ingersoll, Jonathan Jr., 1992. "Optimal consumption and portfolio rules with intertemporally dependent utility of consumption," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 681-712.
- Munk, Claus, 2008. "Portfolio and consumption choice with stochastic investment opportunities and habit formation in preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3560-3589, November.
- M. H. A. Davis & A. R. Norman, 1990. "Portfolio Selection with Transaction Costs," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 676-713, November.
- Constantinides, George M, 1990.
"Habit Formation: A Resolution of the Equity Premium Puzzle,"
Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
- G. Constantinides, 1990. "Habit formation: a resolution of the equity premium puzzle," Levine's Working Paper Archive 1397, David K. Levine.
- Dumas, Bernard & Luciano, Elisa, 1991. "An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs," Journal of Finance, American Finance Association, vol. 46(2), pages 577-595, June.
- Sanford J. Grossman & Zhongquan Zhou, 1993. "Optimal Investment Strategies For Controlling Drawdowns," Mathematical Finance, Wiley Blackwell, vol. 3(3), pages 241-276, July.
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Cited by:
- Song, Jingjing & Bi, Xiuchun & Li, Rong & Zhang, Shuguang, 2017. "Optimal consumption and portfolio selection problems under loss aversion with downside consumption constraints," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 80-94.
- Shuoqing Deng & Xun Li & Huyên Pham & Xiang Yu, 2022. "Optimal consumption with reference to past spending maximum," Finance and Stochastics, Springer, vol. 26(2), pages 217-266, April.
- Zongxia Liang & Xiaodong Luo & Fengyi Yuan, 2022. "Consumption-investment decisions with endogenous reference point and drawdown constraint," Papers 2204.00530, arXiv.org, revised Nov 2022.
- Mork, Knut Anton & Harang, Fabian Andsem & Trønnes, Haakon Andreas & Bjerketvedt, Vegard Skonseng, 2023. "Dynamic spending and portfolio decisions with a soft social norm," Journal of Economic Dynamics and Control, Elsevier, vol. 151(C).
- Knut Anton Mork & Fabian Andsem Harang & Haakon Andreas Tr{o}nnes & Vegard Skonseng Bjerketvedt, 2022. "Dynamic spending and portfolio decisions with a soft social norm," Papers 2212.10053, arXiv.org.
- Xiaoshan Chen & Xun Li & Fahuai Yi & Xiang Yu, 2022. "Optimal consumption under a drawdown constraint over a finite horizon," Papers 2207.07848, arXiv.org, revised Nov 2024.
- Chonghu Guan & Jiacheng Fan & Zuo Quan Xu, 2023. "Optimal dividend payout with path-dependent drawdown constraint," Papers 2312.01668, arXiv.org.
- Chonghu Guan & Zuo Quan Xu, 2023. "Optimal ratcheting of dividend payout under Brownian motion surplus," Papers 2308.15048, arXiv.org, revised Jul 2024.
- Xun Li & Xiang Yu & Qinyi Zhang, 2021. "Optimal consumption with loss aversion and reference to past spending maximum," Papers 2108.02648, arXiv.org, revised Mar 2024.
- Shuoqing Deng & Xun Li & Huyen Pham & Xiang Yu, 2020. "Optimal Consumption with Reference to Past Spending Maximum," Papers 2006.07223, arXiv.org, revised Mar 2022.
- Bahman Angoshtari & Erhan Bayraktar & Virginia R. Young, 2021. "Optimal Investment and Consumption under a Habit-Formation Constraint," Papers 2102.03414, arXiv.org, revised Nov 2021.
- Bahman Angoshtari & Erhan Bayraktar & Virginia R. Young, 2018. "Optimal Dividend Distribution Under Drawdown and Ratcheting Constraints on Dividend Rates," Papers 1806.07499, arXiv.org, revised Mar 2019.
- Zongxia Liang & Xiaodong Luo & Fengyi Yuan, 2023. "Consumption-investment decisions with endogenous reference point and drawdown constraint," Mathematics and Financial Economics, Springer, volume 17, number 6, December.
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