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Unbounded liabilities, capital reserve requirements and the taxpayer put option

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  • Ernst Eberlein
  • Dilip B. Madan

Abstract

When firms access unbounded liability exposures and are granted limited liability, then an all equity firm holds a call option, whereby it receives a free option to put losses back to the taxpayers. We call this option the taxpayer put, where the strike is the negative of the level of reserve capital at stake in the firm. We contribute by (i) valuing this taxpayer put, and (ii) determining the level for reserve capital without a reference to ratings. Reserve capital levels are designed to mitigate the adverse incentives for unnecessary risk introduced by the taxpayer put at the firm level. In our approach, the level of reserve capital is set to make the aggregate risk of the firm externally acceptable, where the specific form of acceptability employed is positive expectation under a concave distortion of the cash flow distribution. It is observed that, in the presence of the taxpayer put, debt holders may not be relied upon to monitor risk as their interests are partially aligned with equity holders by participating in the taxpayer put. Furthermore, the taxpayer put leads to an equity pricing model associated with a market discipline that punishes perceived cash shortfalls.

Suggested Citation

  • Ernst Eberlein & Dilip B. Madan, 2012. "Unbounded liabilities, capital reserve requirements and the taxpayer put option," Quantitative Finance, Taylor & Francis Journals, vol. 12(5), pages 709-724, October.
  • Handle: RePEc:taf:quantf:v:12:y:2012:i:5:p:709-724
    DOI: 10.1080/14697688.2011.630324
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    References listed on IDEAS

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    1. Oliver Hart & Luigi Zingales, 2011. "A New Capital Regulation for Large Financial Institutions," American Law and Economics Review, American Law and Economics Association, vol. 13(2), pages 453-490.
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    Cited by:

    1. Dilip B. Madan & Wim Schoutens & King Wang, 2017. "Measuring And Monitoring The Efficiency Of Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1-32, December.
    2. Mehdi Vazifedan & Qiji Jim Zhu, 2020. "No-Arbitrage Principle in Conic Finance," Risks, MDPI, vol. 8(2), pages 1-34, June.
    3. Madan, Dilip B. & Schoutens, Wim, 2013. "Systemic risk tradeoffs and option prices," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 222-230.
    4. Ernst Eberlein & Dilip Madan & Martijn Pistorius & Wim Schoutens & Marc Yor, 2014. "Two price economies in continuous time," Annals of Finance, Springer, vol. 10(1), pages 71-100, February.
    5. Caldana, Ruggero & Fusai, Gianluca, 2013. "A general closed-form spread option pricing formula," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4893-4906.
    6. Armen Hovakimian & Edward J. Kane & Luc Laeven, 2012. "Tracking Variation in Systemic Risk at US Banks During 1974-2013," NBER Working Papers 18043, National Bureau of Economic Research, Inc.
    7. Kwangil Bae, 2019. "Valuation and applications of compound basket options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(6), pages 704-720, June.
    8. Dilip B. Madan, 2012. "Execution Costs And Efficient Execution Frontiers," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 1-18.

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