On a PDE Arising in One-Dimensional Stochastic Control Problems
Author
Abstract
Suggested Citation
DOI: 10.1007/s10957-010-9712-3
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Merton, Robert C., 1971.
"Optimum consumption and portfolio rules in a continuous-time model,"
Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
- R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
- Alexander Schied & Torsten Schöneborn, 2009.
"Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets,"
Finance and Stochastics, Springer, vol. 13(2), pages 181-204, April.
- Schied, Alexander & Schoeneborn, Torsten, 2008. "Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets," MPRA Paper 7105, University Library of Munich, Germany.
- Ioannis Karatzas & John P. Lehoczky & Suresh P. Sethi & Steven E. Shreve, 1986. "Explicit Solution of a General Consumption/Investment Problem," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 261-294, May.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Alain Bensoussan & Jussi Keppo & Suresh P. Sethi, 2009. "Optimal Consumption And Portfolio Decisions With Partially Observed Real Prices," Mathematical Finance, Wiley Blackwell, vol. 19(2), pages 215-236, April.
- Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2012.
"Saving Rates and Portfolio Choice with Subsistence Consumption,"
Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 108-126, January.
- Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2011. "Online Appendix to "Saving Rates and Portfolio Choice with Subsistence Consumption"," Online Appendices 10-11, Review of Economic Dynamics.
- 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.
- Jouini, Elyes, 2001.
"Arbitrage and control problems in finance: A presentation,"
Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 167-183, April.
- Elyès Jouini, 2001. "Arbitrage and Control Problems in Finance. Presentation," Post-Print halshs-00167152, HAL.
- Martin Herdegen & David Hobson & Joseph Jerome, 2021. "An elementary approach to the Merton problem," Mathematical Finance, Wiley Blackwell, vol. 31(4), pages 1218-1239, October.
- Marina Di Giacinto & Salvatore Federico & Fausto Gozzi, 2011. "Pension funds with a minimum guarantee: a stochastic control approach," Finance and Stochastics, Springer, vol. 15(2), pages 297-342, June.
- Sanjiv Ranjan Das & Rangarajan K. Sundaram, 2002. "An approximation algorithm for optimal consumption/investment problems," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 11(2), pages 55-69, April.
- Nikolay A. Andreev, 2015. "Worst-Case Approach To Strategic Optimal Portfolio Selection Under Transaction Costs And Trading Limits," HSE Working papers WP BRP 45/FE/2015, National Research University Higher School of Economics.
- Svensson, L.E.O., 1988.
"Portfolio Choice And Asset Pricing With Nontraded Assets,"
Papers
417, Stockholm - International Economic Studies.
- Lars E.O. Svensson, 1988. "Portfolio Choice and Asset Pricing With Nontraded Assets," NBER Working Papers 2774, National Bureau of Economic Research, Inc.
- Tina Engler & Alfons Balmann, 2015. "On Investment Consumption Modeling with Jump Process Extensions for Productive Sectors," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 949-958, December.
- Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2012.
"Saving Rates and Portfolio Choice with Subsistence Consumption,"
Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 108-126, January.
- Carolina Achury & Sylwia Hubar & Christos Koulovatianos, 2010. "Saving Rates and Portfolio Choice with Subsistence Consumption," Discussion Papers 10/01, University of Nottingham, Centre for Finance, Credit and Macroeconomics (CFCM).
- Achury, Carolina & Hubar, Sylwia & Koulovatianos, Christos, 2011. "Saving rates and portfolio choice with subsistence consumption," CFS Working Paper Series 2011/06, Center for Financial Studies (CFS).
- Kyoung Jin Choi & Gyoocheol Shim & Yong Hyun Shin, 2008. "Optimal Portfolio, Consumption‐Leisure And Retirement Choice Problem With Ces Utility," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 445-472, July.
- Juan M. Romero & Jorge Bautista, 2016. "Exact solutions for optimal execution of portfolios transactions and the Riccati equation," Papers 1601.07961, arXiv.org.
- Bensoussan, Alain & Chutani, Anshuman & Sethi, Suresh, 2009. "Optimal Cash Management Under Uncertainty," MPRA Paper 19896, University Library of Munich, Germany.
- Kenneth C. Lichtendahl & Raul O. Chao & Samuel E. Bodily, 2012. "Habit Formation from Correlation Aversion," Operations Research, INFORMS, vol. 60(3), pages 625-637, June.
- Mariani, Francesca & Recchioni, Maria Cristina & Ciommi, Mariateresa, 2019. "Merton’s portfolio problem including market frictions: A closed-form formula supporting the shadow price approach," European Journal of Operational Research, Elsevier, vol. 275(3), pages 1178-1189.
- Takashi Kato, 2014. "An optimal execution problem with market impact," Finance and Stochastics, Springer, vol. 18(3), pages 695-732, July.
- Sona Kilianova & Daniel Sevcovic, 2013. "Transformation Method for Solving Hamilton-Jacobi-Bellman Equation for Constrained Dynamic Stochastic Optimal Allocation Problem," Papers 1307.3672, arXiv.org, revised Jul 2013.
- Josa-Fombellida, Ricardo & Rincón-Zapatero, Juan Pablo, 2008. "On one-dimensional stochastic control problems: applications to investment models," UC3M Working papers. Economics we086630, Universidad Carlos III de Madrid. Departamento de EconomÃa.
- Katarzyna Romaniuk, 2013. "Pension fund taxation and risk-taking: should we switch from the EET to the TEE regime?," Annals of Finance, Springer, vol. 9(4), pages 573-588, November.
More about this item
Keywords
Dynamic programming; Stochastic control; Quasilinear parabolic equation; Investment problems;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:147:y:2010:i:1:d:10.1007_s10957-010-9712-3. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.