Book contents
- Validation of Risk Management Models for Financial Institutions
- Validation of Risk Management Models for Financial Institutions
- Copyright page
- Contents
- Figures
- Tables
- Contributors
- Foreword
- Acknowledgments
- 1 Common Elements in Validation of Risk Models Used in Financial Institutions
- 2 Validating Bank Holding Companies’ Value-at-Risk Models for Market Risk
- 3 A Conditional Testing Approach for Value-at-Risk Model Performance Evaluation
- 4 Beyond Exceedance-Based Backtesting of Value-at-Risk Models: Methods for Backtesting the Entire Forecasting Distribution Using Probability Integral Transform
- 5 Evaluation of Value-at-Risk Models: An Empirical Likelihood Approach
- 6 Evaluating Banks’ Value-at-Risk Models during the COVID-19 Crisis
- 7 Performance Monitoring for Supervisory Stress-Testing Models
- 8 Counterparty Credit Risk
- 9 Validation of Retail Credit Risk Models
- 10 Issues in the Validation of Wholesale Credit Risk Models
- 11 Case Studies in Wholesale Risk Model Validation
- 12 Validation of Models Used by Banks to Estimate Their Allowance for Loan and Lease Losses
- 13 Operational Risk
- 14 Statistical Decisioning Tools for Model Risk Management
- 15 Validation of Risk Aggregation in Economic Capital Models
- 16 Model Validation of Interest Rate Risk (Banking Book) Models
- 17 Validation of Risk Management Models in Investment Management
- Index
- References
4 - Beyond Exceedance-Based Backtesting of Value-at-Risk Models: Methods for Backtesting the Entire Forecasting Distribution Using Probability Integral Transform
Published online by Cambridge University Press: 02 March 2023
Book contents
- Validation of Risk Management Models for Financial Institutions
- Validation of Risk Management Models for Financial Institutions
- Copyright page
- Contents
- Figures
- Tables
- Contributors
- Foreword
- Acknowledgments
- 1 Common Elements in Validation of Risk Models Used in Financial Institutions
- 2 Validating Bank Holding Companies’ Value-at-Risk Models for Market Risk
- 3 A Conditional Testing Approach for Value-at-Risk Model Performance Evaluation
- 4 Beyond Exceedance-Based Backtesting of Value-at-Risk Models: Methods for Backtesting the Entire Forecasting Distribution Using Probability Integral Transform
- 5 Evaluation of Value-at-Risk Models: An Empirical Likelihood Approach
- 6 Evaluating Banks’ Value-at-Risk Models during the COVID-19 Crisis
- 7 Performance Monitoring for Supervisory Stress-Testing Models
- 8 Counterparty Credit Risk
- 9 Validation of Retail Credit Risk Models
- 10 Issues in the Validation of Wholesale Credit Risk Models
- 11 Case Studies in Wholesale Risk Model Validation
- 12 Validation of Models Used by Banks to Estimate Their Allowance for Loan and Lease Losses
- 13 Operational Risk
- 14 Statistical Decisioning Tools for Model Risk Management
- 15 Validation of Risk Aggregation in Economic Capital Models
- 16 Model Validation of Interest Rate Risk (Banking Book) Models
- 17 Validation of Risk Management Models in Investment Management
- Index
- References
Summary
This chapter assesses the accuracy and possible misspecification of VaR models and offers a comparison of backtesting results using PITs over exceedances for the same sample of real portfolios. It investigates results from a set of tests used to assess unconditional coverage, conditional coverage, and independence properties of the realized VaR exceptions. This also presents a comprehensive overview of tests used to assess the uniformity and independence properties of a series of PIT estimates generated from real-world risk models. The analysis includes tests based on the empirical CDF (e.g., Kolmogorov–Smirnov; Cramér–Von Mises; and Anderson–Darling) as well as tests of dependence based on regression analysis of observed PITs.
Keywords
- Type
- Chapter
- Information
- Validation of Risk Management Models for Financial InstitutionsTheory and Practice, pp. 57 - 83Publisher: Cambridge University PressPrint publication year: 2023
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