IDEAS home Printed from https://ideas.repec.org/p/cte/werepe/we086630.html
   My bibliography  Save this paper

On one-dimensional stochastic control problems: applications to investment models

Author

Listed:
  • Josa-Fombellida, Ricardo
  • Rincón-Zapatero, Juan Pablo

Abstract

The paper provides a systematic way for finding a partial differential equation that characterize directly the optimal control, in the framework of one?dimensional stochastic control problems of Mayer, with no constraints on the controls. The results obtained are applied to some significative models in financial economics.

Suggested Citation

  • 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 Economía.
    • Handle: RePEc:cte:werepe:we086630
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/rest/api/core/bitstreams/6a631628-2c06-4b45-a1ab-04aab7908825/content
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    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.
    1. Juan M. Romero & Jorge Bautista, 2016. "Exact solutions for optimal execution of portfolios transactions and the Riccati equation," Papers 1601.07961, arXiv.org.
    2. Ricardo Josa-Fombellida & Juan Pablo Rincón-Zapatero, 2010. "On a PDE Arising in One-Dimensional Stochastic Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 1-26, October.
    3. Takashi Kato, 2014. "An optimal execution problem with market impact," Finance and Stochastics, Springer, vol. 18(3), pages 695-732, July.
    4. An, Jongbong & Jeon, Junkee & Kim, Takwon, 2025. "Optimal portfolio and retirement decisions with costly job switching options," Applied Mathematics and Computation, Elsevier, vol. 491(C).
    5. Auffret, Philippe, 2001. "An alternative unifying measure of welfare gains from risk-sharing," Policy Research Working Paper Series 2676, The World Bank.
    6. Chen, An & Hieber, Peter & Sureth, Caren, 2022. "Pay for tax certainty? Advance tax rulings for risky investment under multi-dimensional tax uncertainty," arqus Discussion Papers in Quantitative Tax Research 273, arqus - Arbeitskreis Quantitative Steuerlehre.
    7. Andreas Fagereng & Luigi Guiso & Davide Malacrino & Luigi Pistaferri, 2020. "Heterogeneity and Persistence in Returns to Wealth," Econometrica, Econometric Society, vol. 88(1), pages 115-170, January.
    8. Luca Di Persio & Luca Prezioso & Kai Wallbaum, 2019. "Closed-End Formula for options linked to Target Volatility Strategies," Papers 1902.08821, arXiv.org.
    9. John H. Cochrane, 1999. "New facts in finance," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 23(Q III), pages 36-58.
    10. Olivier Guéant & Charles-Albert Lehalle, 2015. "General Intensity Shapes In Optimal Liquidation," Mathematical Finance, Wiley Blackwell, vol. 25(3), pages 457-495, July.
    11. Song, Dandan & Wang, Huamao & Yang, Zhaojun, 2014. "Learning, pricing, timing and hedging of the option to invest for perpetual cash flows with idiosyncratic risk," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 1-11.
    12. Devereux, Michael B. & Saito, Makoto, 1997. "Growth and risk-sharing with incomplete international assets markets," Journal of International Economics, Elsevier, vol. 42(3-4), pages 453-481, May.
    13. John Y. Campbell & Luis M. Viceira & Joshua S. White, 2003. "Foreign Currency for Long-Term Investors," Economic Journal, Royal Economic Society, vol. 113(486), pages 1-25, March.
    14. repec:dau:papers:123456789/56 is not listed on IDEAS
    15. Stephen Satchell & Susan Thorp, 2007. "Scenario Analysis with Recursive Utility: Dynamic Consumption Plans for Charitable Endowments," Research Paper Series 209, Quantitative Finance Research Centre, University of Technology, Sydney.
    16. Renaud Bourlès & Dominique Henriet, 2012. "Risk-sharing Contracts with Asymmetric Information," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 37(1), pages 27-56, March.
    17. Hong‐Chih Huang, 2010. "Optimal Multiperiod Asset Allocation: Matching Assets to Liabilities in a Discrete Model," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(2), pages 451-472, June.
    18. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742, Decembrie.
    19. Jorge Braga de Macedo & Jeffrey Goldstein & David Meerschwam, 1984. "International Portfolio Diversification: Short-Term Financial Assets and Gold," NBER Chapters, in: Exchange Rate Theory and Practice, pages 199-238, National Bureau of Economic Research, Inc.
    20. Pliska, Stanley R. & Ye, Jinchun, 2007. "Optimal life insurance purchase and consumption/investment under uncertain lifetime," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1307-1319, May.
    21. Farzin, Y. Hossein & Wendner, Ronald, 2013. "Saving Rate Dynamics in the Neoclassical Growth Model – Hyperbolic Discounting and Observational Equivalence," MPRA Paper 45518, University Library of Munich, Germany.

    More about this item

    Keywords

    ;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    Statistics

    Access and download statistics

    Corrections

    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:cte:werepe:we086630. 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: Ana Poveda (email available below). General contact details of provider: http://www.eco.uc3m.es/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.