IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/56323.html
   My bibliography  Save this paper

Choice of financing mode as a stochastic bounded control problem

Author

Listed:
  • Miglo, Anton

Abstract

In this note I analyze situations where an entrepreneur needs external financing from an outside investor in order to start an investment project that will yield a profit for two consecutive periods. The value of second-period profit is the entrepreneur's private information. I show that the choice of financing mode can be transformed into an optimal stochastic bounded control problem, where the state variable t represents the investor's first-period payoff and the control variable α can be interpreted in terms of the investor's residual profit rights. I then show that under certain general conditions such as the monotonicity and continuity of t (which have clear economic interpretations), an optimal contract is characterized by maximal α under low values of t and minimal α under high values of t. In economic terms this corresponds to debt.

Suggested Citation

  • Miglo, Anton, 2014. "Choice of financing mode as a stochastic bounded control problem," MPRA Paper 56323, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:56323
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/56323/1/MPRA_paper_56323.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stewart C. Myers & Nicholas S. Majluf, 1984. "Corporate Financing and Investment Decisions When Firms Have InformationThat Investors Do Not Have," NBER Working Papers 1396, National Bureau of Economic Research, Inc.
    2. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    3. Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
    4. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 179-221.
    5. Hart, Oliver, 1995. "Firms, Contracts, and Financial Structure," OUP Catalogue, Oxford University Press, number 9780198288817.
    6. Mathias Dewatripont & Jean Tirole, 1994. "A Theory of Debt and Equity: Diversity of Securities and Manager-Shareholder Congruence," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 1027-1054.
    7. Matthews, Steven A., 2001. "Renegotiating Moral Hazard Contracts under Limited Liability and Monotonicity," Journal of Economic Theory, Elsevier, vol. 97(1), pages 1-29, March.
    8. Nachman, David C & Noe, Thomas H, 1994. "Optimal Design of Securities under Asymmetric Information," Review of Financial Studies, Society for Financial Studies, vol. 7(1), pages 1-44.
    9. Wolfstetter,Elmar, 2000. "Topics in Microeconomics," Cambridge Books, Cambridge University Press, number 9780521645348, October.
    10. Harris, Milton & Raviv, Artur, 1989. "The design of securities," Journal of Financial Economics, Elsevier, vol. 24(2), pages 255-287.
    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. Langberg, Nisan, 2008. "Optimal financing for growth firms," Journal of Financial Intermediation, Elsevier, vol. 17(3), pages 379-406, July.
    2. Bruno Biais & Thomas Mariotti, 2005. "Strategic Liquidity Supply and Security Design," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 615-649.
    3. Ulf Axelson & Per Strömberg & Michael S. Weisbach, 2009. "Why Are Buyouts Levered? The Financial Structure of Private Equity Funds," Journal of Finance, American Finance Association, vol. 64(4), pages 1549-1582, August.
    4. Edmans, Alex, 2011. "Short-term termination without deterring long-term investment: A theory of debt and buyouts," Journal of Financial Economics, Elsevier, vol. 102(1), pages 81-101, October.
    5. Anton Miglo & Victor Miglo, 2019. "Market imperfections and crowdfunding," Small Business Economics, Springer, vol. 53(1), pages 51-79, June.
    6. Kuong, John Chi-Fong & Zeng, Jing, 2021. "Securitization and optimal foreclosure," Journal of Financial Intermediation, Elsevier, vol. 48(C).
    7. Gersbach, Hans & Uhlig, Harald, 2006. "Debt contracts and collapse as competition phenomena," Journal of Financial Intermediation, Elsevier, vol. 15(4), pages 556-574, October.
    8. Shleifer, Andrei & Vishny, Robert W, 1997. "A Survey of Corporate Governance," Journal of Finance, American Finance Association, vol. 52(2), pages 737-783, June.
    9. Shleifer, Andrei & Vishny, Robert W., 1997. "A Survey of Corporate Governance," Scholarly Articles 30728046, Harvard University Department of Economics.
    10. Stenzel, André, 2018. "Security design with interim public information," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 113-130.
    11. Bernhardt, Dan & Koufopoulos, Kostas & Trigilia, Giulio, 2022. "Separating equilibria, underpricing and security design," Journal of Financial Economics, Elsevier, vol. 145(3), pages 788-801.
    12. Efraim Benmelech & Nitish Kumar & Raghuram Rajan, 2020. "The Decline of Secured Debt," NBER Working Papers 26637, National Bureau of Economic Research, Inc.
    13. Anton Miglo, 2023. "ICO vs. Equity Financing under Imperfect, Complex and Asymmetric Information," FinTech, MDPI, vol. 3(1), pages 1-23, December.
    14. Gilles Chemla & Katrin Tinn, 2020. "Learning Through Crowdfunding," Management Science, INFORMS, vol. 66(5), pages 1783-1801, May.
    15. Miglo, Anton & Zenkevich, Nikolay, 2005. "Non-hierarchical signalling: two-stage financing game," MPRA Paper 1264, University Library of Munich, Germany, revised 2006.
    16. Hartman-Glaser, Barney & Piskorski, Tomasz & Tchistyi, Alexei, 2012. "Optimal securitization with moral hazard," Journal of Financial Economics, Elsevier, vol. 104(1), pages 186-202.
    17. Alex Edmans & William Mann, 2019. "Financing Through Asset Sales," Management Science, INFORMS, vol. 65(7), pages 3043-3060, July.
    18. Mike Burkart & Samuel Lee, 2010. "Signaling in Tender Offer Games," FMG Discussion Papers dp655, Financial Markets Group.
    19. Koufopoulos, Kostas, 2009. "Optimal securities under adverse selection and moral hazard," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 341-360, May.
    20. Guillaume Plantin, "undated". "Tranching," GSIA Working Papers 2005-E2, Carnegie Mellon University, Tepper School of Business.

    More about this item

    Keywords

    optimal financing; stochastic optimization; bounded control; asymmetric information; debt;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • G3 - Financial Economics - - Corporate Finance and Governance
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:56323. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.