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Financial decision making under optimal control and Markov switching double exponential jump process

Author

Listed:
  • Ons Triki

    (University of Sfax)

  • Fathi Abid

    (University of Sfax)

Abstract

The purpose of this paper is two-fold. First, it lies in studying how to value a perpetual real option to be invested in a project that results in the creation of a new firm, whose financing scheme is composed of equity, standard debt, and contingent convertible debt. This occurs when the volatility of cash flows is captured by an exponential double-jump stochastic process and where the economic situation is represented by a continuous stochastic switching regime. In fact, the expected return of the project is governed by a continuous-time two-state Markov chain since the recurrent and discontinuous switching regime of the economy is alternating between economic recession and boom environments. Second, it resides in assessing the financial solidity of the firm through considering a stopping time option to be invested by resolving an optimal control problem. In addition, we equally aim at coping the asymmetric information problem through considering a contingent convertible debt in the firm financial structure, which is transformed into stocks for a given threshold of the market value of the firm. This would yield the alignment of bondholders' interests with those of shareholders. A sensitivity analysis would allow us to compare the effects of different sources of financing on the value of the firm.

Suggested Citation

  • Ons Triki & Fathi Abid, 2025. "Financial decision making under optimal control and Markov switching double exponential jump process," Review of Derivatives Research, Springer, vol. 28(1), pages 1-34, April.
    • Handle: RePEc:kap:revdev:v:28:y:2025:i:1:d:10.1007_s11147-025-09208-5
    DOI: 10.1007/s11147-025-09208-5
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    References listed on IDEAS

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    1. Duffie, Darrell & Lando, David, 2001. "Term Structures of Credit Spreads with Incomplete Accounting Information," Econometrica, Econometric Society, vol. 69(3), pages 633-664, May.
    2. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    3. Emilio Barucci & Luca Del Viva, 2013. "Dynamic capital structure and the contingent capital option," Annals of Finance, Springer, vol. 9(3), pages 337-364, August.
    4. Yang, Zhaojun & Zhao, Zhiming, 2015. "Valuation and analysis of contingent convertible securities with jump risk," International Review of Financial Analysis, Elsevier, vol. 41(C), pages 124-135.
    5. Sheridan Titman & Sergey Tsyplakov, 2007. "A Dynamic Model of Optimal Capital Structure," Review of Finance, European Finance Association, vol. 11(3), pages 401-451.
    6. Pennacchi, George & Vermaelen, Theo & Wolff, Christian C. P., 2014. "Contingent Capital: The Case of COERCs," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 49(3), pages 541-574, June.
    7. Fatouh, Mahmoud & Neamtu, Ioana & van Wijnbergen, Sweder, 2022. "Risk-Taking, Competition and Uncertainty: Do Contingent Convertible (CoCo) Bonds Increase the Risk Appetite of Banks?," CEPR Discussion Papers 17062, C.E.P.R. Discussion Papers.
    8. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    9. Avdjiev, Stefan & Bogdanova, Bilyana & Bolton, Patrick & Jiang, Wei & Kartasheva, Anastasia, 2020. "CoCo issuance and bank fragility," Journal of Financial Economics, Elsevier, vol. 138(3), pages 593-613.
    10. Luo, Pengfei & Yang, Zhaojun, 2017. "Real options and contingent convertibles with regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 75(C), pages 122-135.
    11. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    12. Guo, Xin & Miao, Jianjun & Morellec, Erwan, 2005. "Irreversible investment with regime shifts," Journal of Economic Theory, Elsevier, vol. 122(1), pages 37-59, May.
    13. Jens Hilscher & Sharon Peleg Lazar & Alon Raviv, 2022. "Designing Bankers’ Pay: Using Contingent Capital to Reduce Risk-Shifting Incentives," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 1-22, March.
    14. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
    15. Koziol, Christian & Lawrenz, Jochen, 2012. "Contingent convertibles. Solving or seeding the next banking crisis?," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 90-104.
    16. Mauer, David C. & Sarkar, Sudipto, 2005. "Real options, agency conflicts, and optimal capital structure," Journal of Banking & Finance, Elsevier, vol. 29(6), pages 1405-1428, June.
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    More about this item

    Keywords

    Contingent capital; Double exponential jump-diffusion model; Switching regime; Credit risk; Real option;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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