Transition matrix models of consumer credit ratings
Transition matrix models of consumer credit ratings
Although the corporate credit risk literature has many studies modelling the change in the credit risk of corporate bonds over time, there is far less analysis of the credit risk for portfolios of consumer loans. However behavioural scores, which are commonly calculated on a monthly basis by most consumer lenders are the analogues of ratings in corporate credit risk. Motivated by studies in corporate credit risk, we develop a Markov chain model based on behavioural scores to establish the credit risk of portfolios of consumer loans. Although such models have been used by lenders to develop models for the Basel Accord, there is no published literature on them. The model we suggest differs in many respects from the corporate credit ones based on Markov chains – such as the need for a second order Markov chain, the inclusion of economic variables and the age of the loan. The model is applied using data on a credit card portfolio from a major UK bank.
markov chain, credit risk, logistic regression, credit scoring
261-272
Malik, Madhur
fcf77f80-dc6b-42aa-9287-949b27f49a3f
Thomas, Lyn C.
a3ce3068-328b-4bce-889f-965b0b9d2362
January 2012
Malik, Madhur
fcf77f80-dc6b-42aa-9287-949b27f49a3f
Thomas, Lyn C.
a3ce3068-328b-4bce-889f-965b0b9d2362
Malik, Madhur and Thomas, Lyn C.
(2012)
Transition matrix models of consumer credit ratings.
[in special issue: Special Section 1: The Predictability of Financial Markets. Special Section 2: Credit Risk Modelling and Forecasting]
International Journal of Forecasting, 28 (1), .
(doi:10.1016/j.ijforecast.2011.01.007).
Abstract
Although the corporate credit risk literature has many studies modelling the change in the credit risk of corporate bonds over time, there is far less analysis of the credit risk for portfolios of consumer loans. However behavioural scores, which are commonly calculated on a monthly basis by most consumer lenders are the analogues of ratings in corporate credit risk. Motivated by studies in corporate credit risk, we develop a Markov chain model based on behavioural scores to establish the credit risk of portfolios of consumer loans. Although such models have been used by lenders to develop models for the Basel Accord, there is no published literature on them. The model we suggest differs in many respects from the corporate credit ones based on Markov chains – such as the need for a second order Markov chain, the inclusion of economic variables and the age of the loan. The model is applied using data on a credit card portfolio from a major UK bank.
Text
0111Transition_Matrixrevision.pdf
- Accepted Manuscript
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Accepted/In Press date: 12 June 2011
Published date: January 2012
Keywords:
markov chain, credit risk, logistic regression, credit scoring
Organisations:
Management
Identifiers
Local EPrints ID: 185275
URI: http://eprints.soton.ac.uk/id/eprint/185275
ISSN: 0169-2070
PURE UUID: 2be962b4-936f-4169-abce-eb35f058174c
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Date deposited: 18 Jan 2012 11:21
Last modified: 14 Mar 2024 03:12
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Author:
Madhur Malik
Author:
Lyn C. Thomas
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