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An econometric model to quantify benchmark downturn LGD on residential mortgages

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  • Morone, Marco
  • Cornaglia, Anna
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    Abstract

    The paper describes a theoretical approach to determine the downturn LGD for residential mortgages, which is compliant with the regulatory requirement and thus suited to be used for validation, at least as it can give benchmark results. The link between default rates and recovery rates is in fact acknowledged by the regulatory framework as the driver of the downturn LGD, but data constraints do not usually allow for direct estimation of such a dependency. Both default rates and LGD parameters can anyway be related to macroeconomic variables: in the case of mortgages, real estate prices are the common driver. Household default rates are modelled inside a Vector Autoregressive Model incorporating a few other macroeconomic variables, which is estimated on Italian data. Assuming that LGD historical data series are not available, real estate prices influence on recovery rates is described through a theoretical Bayesian approach: possession probability conditional to Loan to Value can thus be quantified, which determines the magnitude of the effect of a price increase on LGD. Macroeconomic variables are then simulated on a five years path in order to determine the loss distribution (default rates times LGD per unit of EAD), both in the case of stochastic price dependent LGD and of deterministic LGD (but still variable default rates). The ratio between the two measures of loss, calculated at the 99.9th percentile for consistency with the regulatory formulas, corresponds to the downturn effect on LGD. In fact, the numerator of the ratio takes into account correlations between DR and LGD. Some results are presented for different combinations of average LGD and unconditional possession probability, which are specific for each bank.

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    Bibliographic Info

    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 25588.

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    Date of creation: 28 May 2010
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    Handle: RePEc:pra:mprapa:25588

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    Related research

    Keywords: downturn LGD; default and recovery rates correlation; mortgage; Loan to Value; real estate price; possession probability; Bayesian approach; stress testing; Vector Autoregression;

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    References

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    1. Glenn Hoggarth & Steffen Sorensen & Lea Zicchino, 2005. "Stress tests of UK banks using a VAR approach," Bank of England working papers, Bank of England 282, Bank of England.
    2. Edward I. Altman & Brooks Brady & Andrea Resti & Andrea Sironi, 2005. "The Link between Default and Recovery Rates: Theory, Empirical Evidence, and Implications," The Journal of Business, University of Chicago Press, University of Chicago Press, vol. 78(6), pages 2203-2228, November.
    3. Juri Marcucci & Mario Quagliariello, . "Is Bank Portfolio Riskiness Procyclical? Evidence from Italy using a Vector Autoregression," Discussion Papers, Department of Economics, University of York 05/09, Department of Economics, University of York.
    4. Düllmann, Klaus & Trapp, Monika, 2004. "Systematic Risk in Recovery Rates: An Empirical Analysis of US Corporate Credit Exposures," Discussion Paper Series 2: Banking and Financial Studies 2004,02, Deutsche Bundesbank, Research Centre.
    5. Dirk Tasche, 2006. "Validation of internal rating systems and PD estimates," Papers physics/0606071, arXiv.org.
    6. Bardos, Mireille & Moquet, Jeremy & Kendaoui, Ludovic & Jardet, Caroline & Avouyi-Dovi, Sanvi, 2009. "Macro stress testing with a macroeconomic credit risk model : Application to the French manufacturing sector," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/11161, Paris Dauphine University.
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