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Valuation and analysis of contingent convertible securities with jump risk

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  • Yang, Zhaojun
  • Zhao, Zhiming

Abstract

We examine a new type of contingent capital, called contingent convertible security (CCS), when the asset value of the issuing firm follows a jump-diffusion process. The merit of CCS is that it can dynamically adjust capital structure almost without incurring adjustment costs. We obtain closed-form expressions of the equilibrium prices of all corporate securities. Compared with a standard capital structure, CCS can lead to as much as a 9.5% increase in the issuing firm's value but the number declines to 5.7% if classical contingent convertible bond (CCB) is issued instead of CCS. The larger the investment risk, the more pronounced the advantage of CCS over straight bond and CCB. In our model, CCS does not suffer the debt overhang problem and shareholders have no risk-shifting incentive to increase the diffusive volatility of asset value, though they benefit from a higher jump risk.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:finana:v:41:y:2015:i:c:p:124-135
    DOI: 10.1016/j.irfa.2015.05.029
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    Cited by:

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    3. Jang, Hyun Jin & Na, Young Hoon & Zheng, Harry, 2018. "Contingent convertible bonds with the default risk premium," International Review of Financial Analysis, Elsevier, vol. 59(C), pages 77-93.
    4. Javadi, Siamak & Li, Weiping & Nejadmalayeri, Ali, 2023. "Contingent capital conversion under dual asset and equity jump–diffusions," International Review of Financial Analysis, Elsevier, vol. 89(C).
    5. Xiaolin Wang & Zhaojun Yang & Pingping Zeng, 2023. "Pricing contingent convertibles with idiosyncratic risk," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 660-693, September.
    6. Yanping Cai & Zhaojun Yang & Zhiming Zhao, 2019. "Contingent capital with repeated interconversion between debt‐ and equity‐like instruments," European Financial Management, European Financial Management Association, vol. 25(2), pages 358-379, March.
    7. Fatouh, Mahmoud & McMunn, Ayowande, 2019. "Shareholder risk-taking incentives in the presence of contingent capital," Bank of England working papers 775, Bank of England.
    8. Philippe Oster, 2020. "Contingent Convertible bond literature review: making everything and nothing possible?," Journal of Banking Regulation, Palgrave Macmillan, vol. 21(4), pages 343-381, December.

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    More about this item

    Keywords

    Contingent capital; Debt overhang; Risk-taking incentive; Jump risk;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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