- Measuring Market Risk

Description

Fully revised and restructured, Measuring Market Risk, Second Edition includes a new chapter on options risk management, as well as substantial new information on parametric risk, non-parametric measurements, and liquidity risks, more practical information to help with specific calculations, and new examples including Q&A’s and case studies.

Table of Contents

Preface to the Second Edition

Acknowledgments

  • 1 The Rise of Value at Risk
    • 1.1 The emergence of financial risk management
    • 1.2 Market risk management
    • 1.3 Risk management before VaR
    • 1.4 Value at risk

Appendix 1: Types of Market Risk

  • 2 Measures of Financial Risk
    • 2.1 The Mean-Variance framework for measuring financial risk
    • 2.2 Value at risk
    • 2.3 Coherent risk measures
    • 2.4 Conclusions

Appendix 1: Probability Functions

Appendix 2: Regulatory Uses of VaR

  • 3 Estimating Market Risk Measures: An Introduction and Overview
    • 3.1 Data
    • 3.2 Estimating historical simulation VaR
    • 3.3 Estimating parametric VaR
    • 3.4 Estimating coherent risk measures
    • 3.5 Estimating the standard errors of risk measure estimators
    • 3.6 Overview

Appendix 1: Preliminary Data Analysis

Appendix 2: Numerical Integration Methods

  • 4 Non-parametric Approaches
    • 4.1 Compiling historical simulation data
    • 4.2 Estimation of historical simulation VaR and ES
    • 4.3 Estimating confidence intervals for historical simulation VaR and ES
    • 4.4 Weighted historical simulation
    • 4.5 Advantages and disadvantages of non-parametric methods
    • 4.6 Conclusions

Appendix 1: Estimating Risk Measures with Order Statistics

Appendix 2: The Bootstrap

Appendix 3: Non-parametric Density Estimation

Appendix 4: Principal Components Analysis and Factor Analysis

  • 5 Forecasting Volatilities, Covariances, and Correlations
    • 5.1 Forecasting volatilities
    • 5.2 Forecasting covariances and correlations
    • 5.3 Forecasting covariance matrices

Appendix 1: Modelling Dependence: Correlations and Copulas

  • 6 Parametric Approaches (I)
    • 6.1 Conditional vs unconditional distributions
    • 6.2 Normal VaR and ES
    • 6.3 The t-distribution
    • 6.4 The lognormal distribution
    • 6.5 Miscellaneous parametric approaches
    • 6.6 The multivariate normal variance-covariance approach
    • 6.7 Non-normal variance–covariance approaches
    • 6.8 Handling multivariate return distributions with copulas
    • 6.9 Conclusions

Appendix 1: Forecasting longer-term Risk Measures

  • 7 Parametric Approaches (II): Extreme Value
    • 7.1 Generalised extreme-value theory
    • 7.2 The peaks-over-threshold approach: the generalized Pareto distribution
    • 7.3 Refinements to EV approaches
    • 7.4 Conclusions
  • 8 Monte Carlo Simulation Methods
    • 8.1 Uses of monte CarloCarlo simulation
    • 8.2 Monte carlo simulation with a single risk factor
    • 8.3 Monte Carlo simulation with multiple risk factors
    • 8.4 Variance-reduction methods
    • 8.5 Advantages and disadvantages of Monte Carlo simulation
    • 8.6 Conclusions
  • 9 Applications of Stochastic Risk Measurement Methods
    • 9.1 Selecting stochastic processes
    • 9.2 Dealing with multivariate stochastic processes
    • 9.3 Dynamic risks
    • 9.4 Fixed-income risks
    • 9.5 Credit-related risks
    • 9.6 Insurance risks
    • 9.7 Measuring pensions risks
    • 9.8 Conclusions
  • 10 Estimating Options Risk Measures
    • 10.1 Analytical and algorithmic solutions m for options VaR
    • 10.2 Simulation approaches
    • 10.3 Delta–gamma and related approaches
    • 10.4 Conclusions
  • 11 Incremental and Component Risks
    • 11.1 Incremental VaR
    • 11.2 Component VaR
    • 11.3 Decomposition of coherent risk measures
  • 12 Mapping Positions to Risk Factors
    • 12.1 Selecting core instruments
    • 12.2 Mapping positions and VaR estimation
  • 13 Stress Testing
    • 13.1 Benefits and difficulties of stress testing
    • 13.2 Scenario analysis
    • 13.3 Mechanical stress testing
    • 13.4 Conclusions
  • 14 Estimating Liquidity Risks
    • 14.1 Liquidity and liquidity risks
    • 14.2 Estimating liquidity-adjusted VaR
    • 14.3 Estimating liquidity at risk (LaR)
    • 14.4 Estimating liquidity in crises
  • 15 Backtesting Market Risk Models
    • 15.1 Preliminary data issues
    • 15.2 Backtests based on frequency tests
    • 15.3 Backtests based on tests of distribution equality
    • 15.4 Comparing alternative models
    • 15.5 Backtesting with alternative positions and data
    • 15.6 Assessing the precision of backtest results
    • 15.7 Summary and conclusions

Appendix 1: Testing Whether Two Distributions are Different

  • 16 Model Risk
    • 16.1 Models and model risk
    • 16.2 Sources of model risk
    • 16.3 Quantifying model risk
    • 16.4 Managing model risk
    • 16.5 Conclusions

Bibliography

Author Index

Subject Index

Author Information

 is a Professor of Financial Risk Management at Nottingham University. Kevin is an Adjunct Scholar at the Cato Institute in Washington, D.C., and a Fellow of the Pensions Institute at Birkbeck College.

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