Risk Management in Banking

Risk Management in Banking
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Bessis Joël. Risk Management in Banking

FOREWORD

PREFACE

ABOUT THE AUTHOR

1. RISKS AND RISK MANAGEMENT

1.1 Uncertainty, Risk and Exposure to Risk

1.2 Broad Classes of Financial Risk

1.3 Business Lines in Banking

1.4 Banking Regulations and Accounting Standards

1.5 Risk Management

2. BANKING REGULATIONS OVERVIEW

2.1 Regulation Principles

2.2 Capital Adequacy

2.3 Some Lessons of the Financial Crisis

2.4 The Responses of Regulators to the Financial Crisis

3. BALANCE SHEET MANAGEMENT AND REGULATIONS

3.1 The New Regulatory Ratios

3.2 Compliance of a Commercial Balance Sheet: Example

3.3 Creation of Value

4. LIQUIDITY MANAGEMENT AND LIQUIDITY GAPS

4.1 Liquidity and Liquidity Risk

4.2 Liquidity Gap Time Profiles

4.3 Types of Liquidity Gaps

4.4 Managing Incremental Gaps

4.5 Dynamic Liquidity Gaps

4.6 Funding Liquidity Management

4.7 Liquidity Crises and Stress Scenarios

5. INTEREST RATE GAPS

5.1 Interest Rate Risk

5.2 Interest Rate Gaps

5.3 Calculations of Interest Rate Gap

5.4 The Gap Model

5.5 Net Interest Income and Interest Rate Gaps

5.6 Gap Management and Hedging

5.7 Limitations of Interest Rate Gaps

5.8 Appendix: Gaps and Interest Rate Sensitivity

6. HEDGING AND GAP MANAGEMENT

6.1 The Trade-Offs of Gap Management

6.2 Managing Interest Rate Gaps with Interest Rate Derivatives

6.3 Managing Interest Rate Gaps

6.4 Setting Limits to Gaps

6.5 Hedging the Variations of the Term Structure of Interest Rates (Case Study)

6.6 Hedging Business Risk and Interest Rate Risk

7. ECONOMIC VALUE OF THE BANKING BOOK

7.1 Economic Value and Its Sensitivity

7.2 Economic Value and Net Interest Income

7.3 The Sensitivity of Economic Value to Interest Rates

7.4 Appendix: Convexity

8. CONVEXITY RISK IN BANKING

8.1 Convexity Risk and Economic Value

8.2 An Extended Framework for Stochastic Cash Flows: Valuation

8.3 Appendix: The Value of Convexity

9. CONVEXITY RISK: THE CASE OF MORTGAGES

9.1 The Convexity Risk of Mortgages

9.2 The Valuation of the Prepayment Option and Its Pricing

9.3 Appendix 1: Valuation of A Bond Using An Interest Rate Tree

9.4 Appendix 2: Calibration of the Binomial Tree

10. FUNDS TRANSFER PRICING SYSTEMS

10.1 Internal Fund Pricing Systems

10.2 Funds Transfer Pricing in the Banking Book

10.3 Economic Transfer Prices in the Banking Book

10.4 Risk-Based Pricing: Lending

11. RETURNS, RANDOM SHOCKS AND VALUE-AT-RISK

11.1 Value-At-Risk

11.2 Random Shocks As Asset Returns

11.3 Stochastic Processes

11.4 Modeling Random Shocks

11.5 VaR Calculation for a Single Asset

11.6 Distribution of Value under Normal Returns

11.7 From Shocks on Risk Factors to Shocks on Asset Value

11.8 Appendix 1: Continuous Returns As Limit of Discrete Returns

11.9 Appendix 2: Common Processes

12. PORTFOLIO RISK AND FACTOR MODELS

12.1 Portfolio Return Volatility, Correlations and Covariances

12.2 Factor Models

12.3 Sensitivities of Common Instruments

12.4 Non-Linear Instruments

12.5 Volatility of the Portfolio Return

12.6 Closed-Form Matrix Formulas for the Volatility of the Portfolio Return and for VaR

12.7 Appendix 1: Correlation and Volatility of a Sum of Random Variables

12.8 Appendix 2: Mapping an Instrument to Risk Factors

13. DELTA-NORMAL VAR AND HISTORICAL VAR

13.1 Delta-Normal VaR

13.2 Historical VaR: Forward Contract Example

14. EXTENSIONS OF TRADITIONAL VAR

14.1 E-VaR or Expected Shortfall

14.2 Monte Carlo Simulations

14.3 Appendix: Cholesky Decomposition

15. VOLATILITY

15.1 Volatility

15.2 Exponentially Weighted Moving Average Model (EWMA)

15.3 Garch Models

15.4 Maximum Likelihood Methodology

15.5 Estimating EWMA Volatility

16. SIMULATION OF INTEREST RATES

16.1 Interest Rates and Factor Models

16.2 Modeling the Term Structure of Interest Rates with Principal Component Analysis

16.3 Interest Rate Simulations

16.4 Application to Market VaR

16.5 Simulations of Interest Rates for the Banking Book

17. MARKET RISK REGULATIONS

17.1 The Market Risk Regulations as of June 2006

17.2 Revision to the Market Risk Framework (2011)

17.3 Revisions to the Basel 2 Market Risk Framework

18. CREDIT RISK

18.1 Credit Risk Components

18.2 Credit Risk Modeling

18.3 Loss Distributions for Credit Risk

19. CREDIT RISK DATA

19.1 Default Statistics

19.2 Recovery Statistics

19.3 Transition Matrices

19.4 Cumulative and Marginal Default Probabilities

19.5 Migration Matrices and Cumulative Probabilities

20. SCORING MODELS AND CREDIT RATINGS

20.1 Scoring

20.2 Accuracy of Scoring Models: The “CAP”

20.3 Credit Ratings

20.4 Appendix: Rating Scales of Rating Agencies

21. DEFAULT MODELS

21.1 Default Intensity Models

21.2 The Option Theoretic Approach to Default

21.3 Appendix: Valuation of the Put Option to Default

22. COUNTERPARTY CREDIT RISK

22.1 Credit Exposures

22.2 Potential Future Exposure

22.3 Credit Risk For Derivatives: Methodology

22.4 Calculating the Potential Future Exposure For an Interest Rate Swap

22.5 Regulatory Rules for Counterparty Credit Risk

23. CREDIT EVENT DEPENDENCIES

23.1 Joint Default Probability Using Discrete Variables

23.2 Support

23.3 Modeling Joint Defaults With the Structural Model

23.4 Joint Migration Probabilities

24. CREDIT PORTFOLIO RISK: ANALYTICS

24.1 Independent Default Events: The Binomial Distribution

24.2 The Structural Model

24.3 Application: The Stressed Default Probability Under Basel 2

24.4 Modeling Defaults in a Uniform Portfolio: The Limit Distribution

24.5 Appendix: The Limit Distribution

25. CREDIT PORTFOLIO RISK: SIMULATIONS

25.1 Simulations of Dependent Default Events With the Asset Model

25.2 Simulations of Times to Default

25.3 Credit Portfolio Models

26. CREDIT RISK REGULATIONS

26.1 The Basel 2 Accord

26.2 The Standardized Approach

26.3 Internal Ratings-Based Framework

26.4 Credit Risk Mitigation

26.5 Specialized Lending

26.6 Securitizations

26.7 Counterparty Credit Risk

26.8 Interest Rate Risk

26.9 Pillar 2: Supervisory Review Process and Market Discipline

26.10 Appendix: Operational Risk in Basel 2

27. CAPITAL ALLOCATION AND RISK CONTRIBUTIONS

27.1 Risk and Capital Allocations

27.2 Risk Contributions to an Existing Portfolio

27.3 Calculations of Risk Contributions

27.4 Marginal Risk Contributions

27.5 Appendix: Matrix Formula for Risk Contributions

28. RISK-ADJUSTED PERFORMANCE MEASURES

28.1 Risk-Adjusted Measures of Performance

28.2 Risk-Based Pricing and Marginal Risk Contributions

28.3 Risk Premium and Risk-Based Pricing

28.4 Shareholder Value Added Measures

28.5 Risk-Based Performance, Pricing and Capital Allocation

29. CREDIT DERIVATIVES

29.1 Definitions of Credit Derivatives

29.2 Usage of Credit Derivatives

29.3 Credit Portfolio Management

29.4 Trading Credit Risk and the Return on Capital of a Bank

30. SECURITIZATIONS

30.1 The Motivations of Securitizations

30.2 The Principles of Securitizations

30.3 The Economics of Securitization

30.4 Variations in the Securitization Scheme

30.5 The Risk of Asset-Backed Notes

REFERENCES

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Risk Management in Banking

Fourth Edition

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For the trading book, valuation is based on mark-to-market, or mark-to-model for illiquid instruments. The performance is evaluated on the basis of fair value: profit and loss (P&L) is measured as the variations of value between two dates.

Risk management requires that the risks of a financial institution be identified, assessed and controlled. Enterprise risk management addresses a combination of credit risk, market risk, interest rate risk, liquidity risk and operational risk. Sound risk practices define who should be accountable for these risks and how the risk processes should be implemented.

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