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Precautionary Measures for Credit Risk Management in Jump Models

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  • Masahiko Egami
  • Kazutoshi Yamazaki
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    Abstract

    Sustaining efficiency and stability by properly controlling the equity to asset ratio is one of the most important and difficult challenges in bank management. Due to unexpected and abrupt decline of asset values, a bank must closely monitor its net worth as well as market conditions, and one of its important concerns is when to raise more capital so as not to violate capital adequacy requirements. In this paper, we model the tradeoff between avoiding costs of delay and premature capital raising, and solve the corresponding optimal stopping problem. In order to model defaults in a bank's loan/credit business portfolios, we represent its net worth by Levy processes, and solve explicitly for the double exponential jump diffusion process and for a general spectrally negative Levy process.

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    File URL: http://arxiv.org/pdf/1004.0595
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    Paper provided by arXiv.org in its series Papers with number 1004.0595.

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    Date of creation: Apr 2010
    Date of revision: Jun 2011
    Handle: RePEc:arx:papers:1004.0595

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