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Firm Value and Default Correlation

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  • Lars Grüne

    ()
    (University of Bayreuth)

  • Willi Semmler

    (The New School for Social Research)

  • Lucas Bernard

    (The New School for Social Research)

Abstract

Following the lead of Merton (1974), recent research has focused on the relationship of credit risk to firm value. Although this has usually been done for a single firm, the growth of structured finance, which necessarily involves the correlation between included securities, has spurred interest in the connection between credit-default risk and the dependencies and cross-correlations arising in families of firms. Previous work by Grüne and Semmler (2005), focusing on a single firm, has shown that firm-value models, incorporating company-specific endogenous risk premia, imply that exposure to risk does impact asset value. In this paper, we extend these results to study the effects of random shocks to diversified capital assets wherein the shocks are correlated to varying degrees. Thus, we construct a framework within which the effects of correlated shocks to capital assets can be related to the probability of default for the company. The dynamic decision problem of maximizing the present value of a firm faced with stochastic shocks is solved using numerical techniques. Further, the impact of varying dependency structures on the over-all default rate is also explored

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Bibliographic Info

Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2006 with number 275.

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Date of creation: 04 Jul 2006
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Handle: RePEc:sce:scecfa:275

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Related research

Keywords: Firm Value; Diversified Capital Assets; and Credit Risk: Towards a Theory of Default Correlation; Dynamical System; Structured Finance; Debt Financing; Asset Pricing;

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