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Advanced ERM Session 8: Formulating, implementing and validating risk models


This presentation is based on a part of an academic course on Advanced Enterprise Risk Management (Advanced ERM) titled ‘Formulating, implementing and validating risk models’ and covers topics such as: model selection (including methodologies and parameterisation), model validation, evaluating inputs / implementation and evaluating outputs

Slides
1Session 8: Formulating, implementing and validating risk models
2Session 8: Formulating, Implementing and validating risk models
3Model selection: general issues
4Example users and uses of models
5Models may:
6Session 8: Formulating, Implementing and validating risk models
7Example: credit risk models and methodologies
8There are different dimensions to risk
9Credit risk with and without interest rate risk
10Stochastic spreads also potentially important
11Risk versus pricing
12How might we create a general framework?
13Short-term volatility models
14Longer holding period models
15Fundamental data limitations
16Session 8: Formulating, Implementing and validating risk models
17Introduction to parameterisation
18Notation
19Factor structure
20Example factor structure (1)
21Example factor structure (2)
22Estimating factor loadings, e.g.
23How might we calculate pair-wise correlations?
24Benchmarking
25Correlation structure implicit in Basel II
26Session 8: Formulating, Implementing and validating risk models
27Validation
28E.g. a credit risk model
29E.g. internal ratings assessments
30Possible approaches include
31Possible performance measure, for default models
32Validation of statistical inputs
33Validation of implementation
34Session 8: Formulating, Implementing and validating risk models
35Evaluating outputs
36Model risk and back-testing
37Model assessment
38Link with calibration
39Ideally model should also fit well 'period by period'
40Look-back bias and in-sample testing
41Look-back bias and out-of-sample testing
42Market consistent risk measurement
43Back testing in other regulatory frameworks
44Session 8: Agenda covered
45Important Information



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