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Is Barrier version of Merton model more realistic? Evidence from Europe

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  • Petra Andrlíková

    (Institute of Economic Studies, Faculty of Social Sciences, Charles University in Prague, Smetanovo nábreží 6, 111 01 Prague 1, Czech Republic)

Abstract

A company can go bankrupt if the value of its assets drops below the debt level. This event can happen at any point in time. This is however not taken into account in the plain vanilla option framework of the Merton model. Theoretically, the barrier version of the Merton model shall therefore be more accurate since it allows the company to go bankrupt at time prior to or at maturity. This theoretical prediction is tested on European most liquid companies. The implied default probabilities are compared with observed default rates given the Standard & Poor's rating grades. We provide evidence that the Barrier version of Merton model is more realistic, i.e. provide a significantly better fit to observed default rates, based on the value of the Diebold-Mariano test statistics.

Suggested Citation

  • Petra Andrlíková, 2014. "Is Barrier version of Merton model more realistic? Evidence from Europe," Working Papers IES 2014/11, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Apr 2014.
  • Handle: RePEc:fau:wpaper:wp2014_11
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    File URL: http://ies.fsv.cuni.cz/sci/publication/show/id/5085/lang/cs
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    More about this item

    Keywords

    structural credit risk model; barrier option pricing theory; down-and-in option; default probability;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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