IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v86y2017i3d10.1007_s00186-017-0586-0.html
   My bibliography  Save this article

Optimal switching between cash-flow streams

Author

Listed:
  • Thomas A. Weber

    (École Polytechnique Fédérale de Lausanne)

Abstract

We consider the problem of finding the optimal time to switch between two measurable cash-flow streams. A complete characterization of the set of solutions is obtained in terms of adjoint variables which measure the available gain from deviations. An iterative procedure for the computation of the adjoint variables is provided. The results are generalized to multiple switching times, multiple cash-flow streams, switching costs, as well as switch-triggered cash-flow streams that arise in equipment-replacement problems.

Suggested Citation

  • Thomas A. Weber, 2017. "Optimal switching between cash-flow streams," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(3), pages 567-600, December.
    • Handle: RePEc:spr:mathme:v:86:y:2017:i:3:d:10.1007_s00186-017-0586-0
    DOI: 10.1007/s00186-017-0586-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00186-017-0586-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00186-017-0586-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. NESTEROV, Yu., 2000. "Squared functional systems and optimization problems," LIDAM Reprints CORE 1472, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
    3. Arrow, Kenneth J & Levhari, David, 1969. "Uniqueness of the Internal Rate of Return with Variable Life of Investment," Economic Journal, Royal Economic Society, vol. 79(315), pages 560-566, September.
    4. Refet S. Gürkaynak & Jonathan H. Wright, 2012. "Macroeconomics and the Term Structure," Journal of Economic Literature, American Economic Association, vol. 50(2), pages 331-367, June.
    5. Weber, Thomas A., 2014. "On the (non-)equivalence of IRR and NPV," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 25-39.
    6. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    7. Arthur F. Veinott & Harvey M. Wagner, 1962. "Optimal Capacity Scheduling---II," Operations Research, INFORMS, vol. 10(4), pages 533-546, August.
    8. Flemming, J S & Wright, J F, 1971. "Uniqueness of the Internal Rate of Return: A Generalisation," Economic Journal, Royal Economic Society, vol. 81(322), pages 256-263, June.
    9. Thomas A. Weber, 2017. "Global Optimization on an Interval," Journal of Optimization Theory and Applications, Springer, vol. 172(2), pages 684-705, February.
    10. Arthur F. Veinott & Harvey M. Wagner, 1962. "Optimal Capacity Scheduling---I," Operations Research, INFORMS, vol. 10(4), pages 518-532, August.
    11. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    12. Weber, Thomas A., 2011. "Optimal Control Theory with Applications in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015730, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lauren E. Cipriano & Thomas A. Weber, 2018. "Population-level intervention and information collection in dynamic healthcare policy," Health Care Management Science, Springer, vol. 21(4), pages 604-631, December.

    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. John Quah & Bruno Strulovici, 2011. "Discounting, Patience, and Dynamic Decision Making," Economics Series Working Papers 555, University of Oxford, Department of Economics.
    2. Weber, Thomas A., 2014. "On the (non-)equivalence of IRR and NPV," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 25-39.
    3. Magni, Carlo Alberto, 2016. "Capital depreciation and the underdetermination of rate of return: A unifying perspective," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 54-79.
    4. John K. -H Quah & Bruno Strulovici, 2009. "Discounting and Patience in Optimal Stopping and Control Problems," Discussion Papers 1480, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Finn Christensen, 2019. "Comparative statics and heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 665-702, April.
    6. Elisha A. Pazner & Assaf Razin, 1976. "On Expected Present Value Vs. Expected Future Value: Further Remarks," Discussion Papers 196, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Chade, Hector & Kovrijnykh, Natalia, 2016. "Delegated information acquisition with moral hazard," Journal of Economic Theory, Elsevier, vol. 162(C), pages 55-92.
    8. Kasy, Maximilian, 2018. "Optimal taxation and insurance using machine learning — Sufficient statistics and beyond," Journal of Public Economics, Elsevier, vol. 167(C), pages 205-219.
    9. Mensch, Jeffrey, 2021. "Rational inattention and the monotone likelihood ratio property," Journal of Economic Theory, Elsevier, vol. 196(C).
    10. Carlo Alberto Magni, 2010. "Average Internal Rate of Return and investment decisions: A new perspective," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0021, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    11. Renato Gomes & Jean-Marie Lozachmeur & Alessandro Pavan, 2018. "Differential Taxation and Occupational Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 511-557.
    12. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    13. Yuri Biondi, 2006. "The double emergence of the Modified Internal Rate of Return: The neglected financial work of Duvillard (1755 - 1832) in a comparative perspective," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 13(3), pages 311-335.
    14. Engelson, Leonid & Fosgerau, Mogens, 2016. "The cost of travel time variability: Three measures with properties," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 555-564.
    15. Carlo Alberto Magni, 2009. "Accounting and economic measures:An integrated theory of capital budgeting," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0019, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    16. Ludvig Sinander, 2019. "The converse envelope theorem," Papers 1909.11219, arXiv.org, revised Jun 2022.
    17. Jetlir Duraj & Yi-Hsuan Lin, 2022. "Identification and welfare evaluation in sequential sampling models," Theory and Decision, Springer, vol. 92(2), pages 407-431, March.
    18. Arjan Akkermans & Gerhard Post & Marc Uetz, 2021. "Solving the shift and break design problem using integer linear programming," Annals of Operations Research, Springer, vol. 302(2), pages 341-362, July.
    19. Martin, Simon & Shelegia, Sandro, 2021. "Underpromise and overdeliver? - Online product reviews and firm pricing," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    20. Rodrigo Adao & Arnaud Costinot & Dave Donaldson, 2017. "Nonparametric Counterfactual Predictions in Neoclassical Models of International Trade," American Economic Review, American Economic Association, vol. 107(3), pages 633-689, March.

    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:spr:mathme:v:86:y:2017:i:3:d:10.1007_s00186-017-0586-0. 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.

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