IDEAS home Printed from https://ideas.repec.org/p/bie/wpaper/591.html
   My bibliography  Save this paper

A Note on a New Existence Result for Reflected BSDES with Interconnected Obstacles

Author

Listed:
  • de Angelis, Tiziano

    (Center for Mathematical Economics, Bielefeld University)

  • Ferrari, Giorgio

    (Center for Mathematical Economics, Bielefeld University)

  • Hamadène, Saïd

    (Center for Mathematical Economics, Bielefeld University)

Abstract

In this note we prove existence of a solution to a system of Markovian BSDEs with interconnected obstacles. A key feature of our system, and the main novelty of this paper, is that we allow for the driver Æ’ *i* of the *i*-th component of the *Y* -process to depend on all components of the *Z*-process. This extends the existing theory on reflected BSDEs, which only addresses problems where Æ’ *i* depends on *Z* *i* .

Suggested Citation

  • 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.
    • Handle: RePEc:bie:wpaper:591
    as

    Download full text from publisher

    File URL: https://pub.uni-bielefeld.de/download/2930430/2930432
    File Function: First Version, 2017
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rene Carmona & Michael Ludkovski, 2008. "Pricing Asset Scheduling Flexibility using Optimal Switching," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(5-6), pages 405-447.
    2. Lenos Trigeorgis, 1993. "Real Options and Interactions With Financial Flexibility," Financial Management, Financial Management Association, vol. 22(3), Fall.
    3. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    4. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
    5. 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.
    6. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    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. Garcia Fronti, Javier, 2015. "Modelo estocástico para la valuación de una inversión nanomédica [Nanomedical Stochastic Investment Valuation]," MPRA Paper 63948, University Library of Munich, Germany.
    2. Magnus Perninge & Lennart Söder, 2014. "Irreversible investments with delayed reaction: an application to generation re-dispatch in power system operation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(2), pages 195-224, April.
    3. Dalbem, Marta Corrêa & Brandão, Luiz Eduardo Teixeira & Gomes, Leonardo Lima, 2014. "Can the regulated market help foster a free market for wind energy in Brazil?," Energy Policy, Elsevier, vol. 66(C), pages 303-311.
    4. Mihail Zervos & Carlos Oliveira & Kate Duckworth, 2018. "An investment model with switching costs and the option to abandon," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(3), pages 417-443, December.
    5. Schachter, J.A. & Mancarella, P., 2016. "A critical review of Real Options thinking for valuing investment flexibility in Smart Grids and low carbon energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 261-271.
    6. Onno Lint & Enrico Pennings & Martin Natter, 1999. "Optionsmanagement in F&E: Eine Fallstudie," Schmalenbach Journal of Business Research, Springer, vol. 51(10), pages 990-1006, October.
    7. Ewald, Christian Oliver & Taub, Bart, 2022. "Real options, risk aversion and markets: A corporate finance perspective," Journal of Corporate Finance, Elsevier, vol. 72(C).
    8. Haque, Md. Aminul & Topal, Erkan & Lilford, Eric, 2014. "A numerical study for a mining project using real options valuation under commodity price uncertainty," Resources Policy, Elsevier, vol. 39(C), pages 115-123.
    9. Sungchul Kim & Ronald Giachetti & Sangsung Park, 2018. "Real Options Analysis for Acquisition of New Technology: A Case Study of Korea K2 Tank’s Powerpack," Sustainability, MDPI, vol. 10(11), pages 1-18, October.
    10. Michael Ludkovski, 2010. "Stochastic Switching Games and Duopolistic Competition in Emissions Markets," Papers 1001.3455, arXiv.org, revised Aug 2010.
    11. Lander, Diane M. & Pinches, George E., 1998. "Challenges to the Practical Implementation of Modeling and Valuing Real Options," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 537-567.
    12. El Asri, Brahim, 2013. "Stochastic optimal multi-modes switching with a viscosity solution approach," Stochastic Processes and their Applications, Elsevier, vol. 123(2), pages 579-602.
    13. Pennings, Enrico & Lint, Onno, 1997. "The option value of advanced R & D," European Journal of Operational Research, Elsevier, vol. 103(1), pages 83-94, November.
    14. Hamadène, Said & Zhang, Jianfeng, 2010. "Switching problem and related system of reflected backward SDEs," Stochastic Processes and their Applications, Elsevier, vol. 120(4), pages 403-426, April.
    15. Jan Vlachý, 2009. "Solving the Capacity Optimization Problem under Demand Uncertainty," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 12(34), pages 97-116, (4).
    16. Juan Pineiro-Chousa & Marcos Vizcaíno-González, 2020. "A mathematical model for the role of third party funding in reputation building of academic institutions," Review of Managerial Science, Springer, vol. 14(2), pages 365-377, April.
    17. Pineiro-Chousa, Juan & Vizcaíno-González, Marcos, 2016. "A quantum derivation of a reputational risk premium," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 304-309.
    18. Anastasios Michailidis & Konstadinos Mattas, 2007. "Using Real Options Theory to Irrigation Dam Investment Analysis: An Application of Binomial Option Pricing Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(10), pages 1717-1733, October.
    19. Aminrostamkolaee, Behnam & Scroggs, Jeffrey S. & Borghei, Matin Sadat & Safdari-Vaighani, Ali & Mohammadi, Teymour & Hossein Pourkazemi, Mohammad, 2017. "Valuation of a hypothetical mining project under commodity price and exchange rate uncertainties by using numerical methods," Resources Policy, Elsevier, vol. 52(C), pages 296-307.
    20. Beatriz Mota Aragón, 2011. "Capital Investments and Real Options: New Proposals," Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics), Tecnológico de Monterrey, Campus Ciudad de México, vol. 5(1), pages 65-76.

    More about this item

    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:bie:wpaper:591. 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: Bettina Weingarten (email available below). General contact details of provider: https://edirc.repec.org/data/imbiede.html .

    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.