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Optimal Design of Contingent Capital

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Abstract

This paper proposes a parsimonious framework for designing contingent capital contracts (CoCos). CoCos designed this way (i) are either optimal or incentive compatible for equity holders, (ii) implement a unique equilibrium, and (iii) result in an optimal capital structure for the firm. We consider CoCos with equity conversion and write-down modalities. Equity conversion CoCos are optimal; write-down CoCos are incentive-compatible. Both types of CoCos can be implemented by exogenously specifying a capital ratio rule that triggers conversion and, hence, qualify as additional tier 1 (AT1) capital. A policymaker can use a normative criterion, e.g., capital ratio after conversion, to determine the desired capital ratio rule ex-ante. Given the policymaker's choice of the capital ratio rule, our model pins down the CoCo that respects (i), (ii), and (iii). We show that including such a CoCo in the firm's capital structure increases its optimal levered value while making it more resilient to bankruptcy. Lastly, CoCos in this framework are time-consistent. This characteristic alleviates the risk of renegotiation by stakeholders and removes the uncertainty of a discretionary trigger: precisely what spooked markets during the run on Credit Suisse in March 2023.

Suggested Citation

  • Lionel Melin & Ahyan Panjwani, 2024. "Optimal Design of Contingent Capital," Finance and Economics Discussion Series 2024-051, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:2024-51
    DOI: 10.17016/FEDS.2024.051
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    More about this item

    Keywords

    Contingent convertible debt; Bail-in debt; Capital structure; Capital requirements; Bank regulation; Bank capital;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • 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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