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Quantitative Financial Risk Management - Henry Stewart Talks

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III: Market <strong>Risk</strong><br />

Estimating <strong>Risk</strong> Models<br />

Professor Kevin Dowd, Centre for <strong>Risk</strong> and Insurance Studies<br />

Nottingham University Business School<br />

Defining a risk model – Assembling data – Non-parametric<br />

estimation methods – Parametric estimation methods – Monte<br />

Carlo simulation methods<br />

Measures of <strong>Financial</strong> <strong>Risk</strong><br />

Professor Kevin Dowd, Centre for <strong>Risk</strong> and Insurance Studies<br />

Nottingham University Business School<br />

Nature of financial risk – Representing financial risk using a<br />

density function – VaR as a risk measure – Expected shortfall –<br />

Coherent risk measures – Worst-case scenario analyses<br />

Nonlinear VaR Models<br />

Dr Simon Hubbert, School of Economics, Mathematics and<br />

Statistics, Birkbeck, University of London<br />

When faced with estimating the value at risk for a non-linear<br />

portfolio a practitioner will often resort to simulation<br />

methods. For large portfolios the computational time required<br />

for this can be enormous. This presentation provides a selfcontained<br />

introduction and overview of analytical techniques<br />

which can be used to provide Value at <strong>Risk</strong> estimates for such<br />

portfolios. Accurate closed form estimates are appealing as<br />

they circumvent the computational demands.<br />

IV: Applications to Credit <strong>Risk</strong> and Market <strong>Risk</strong><br />

Structural and Reduced Form Models<br />

Dr Theo Darsinos – Fixed Income Research, Deutsche Bank<br />

AG<br />

Structural Models – The Merton Approach – Bond pricing,<br />

Stock pricing, Default probability, Credit spreads, Bond<br />

volatility – Parameter estimation – Limitations – Extending<br />

Merton: The creditgrades model<br />

Reduced Form Models – Default intensity – Examples:<br />

Constant, Deterministic and Stochastic intensities – Linking<br />

reduced and structural models – Recovery rates<br />

Modelling Business Dependencies for Credit<br />

Portfolios<br />

Dr Markus A. Leippold, the Swiss Banking Institute, University<br />

of Zürich<br />

Portfolio credit risk – Integrating macrostructural and<br />

microstructural interdependencies – Gaussian copula – Credit<br />

portfolio as a graph – Impact of business dependencies on<br />

correlation – Feedback effects – Marginal risk contribution<br />

Extreme Value Theory<br />

Professor Paul Embrechts, Professor of Mathematics and Dr<br />

Johanna Neslehova, Postdoctoral Research Fellow, <strong>Risk</strong><br />

<strong>Management</strong> Research Centre <strong>Risk</strong>Lab, ETH Zürich at the<br />

ETHZ (Swiss Federal Institute of Technology, Zürich)<br />

Extremes in quantitative risk management – Limiting<br />

behaviour of sums and maxima – Fisher/Tippett theorem –<br />

Extreme value distributions and domains of attraction – Block<br />

maxima method – Threshold exceedances –<br />

Pickands/Balkema/de Haan theorem – Threshold selection –<br />

Quantile estimation – Point process approach – Banking and<br />

insurance regulation – Critical appraisal<br />

Copulas<br />

Professor Paul Embrechts, Professor of Mathematics and Dr<br />

Johanna Neslehova, Postdoctoral Research Fellow, <strong>Risk</strong><br />

<strong>Management</strong> Research Centre <strong>Risk</strong>Lab, ETH Zürich at the<br />

ETHZ (Swiss Federal Institute of Technology, Zürich)<br />

Impact of extremes and dependence in finance and insurance<br />

– Correlation issues – Copulas and Sklar’s theorem – Copula<br />

generation – Fréchet-Hoeffding bounds – Limitations of<br />

correlation – Rank correlation measures – An application to<br />

credit risk – Tail dependence – Bounds on risk measures –<br />

Critical appraisal<br />

V: <strong>Risk</strong> Model Validation<br />

Validation Techniques I: Regulatory and Statistical<br />

Background<br />

Dr Dirk Tasche, Banking and <strong>Financial</strong> Supervision<br />

Department, Deutsche Bundesbank<br />

Historical background – New capital standards (Basel II) –<br />

Requirements on quantitative validation – The binary<br />

classification model for rating systems – Bayes’ formula –<br />

Modelling cyclical effects – Conditional probabilities of default<br />

(PD)<br />

Validation Techniques II: Discriminatory Power and<br />

Calibration<br />

Dr Dirk Tasche, Banking and <strong>Financial</strong> Supervision<br />

Department, Deutsche Bundesbank<br />

Validation principles – Predictive ability, discriminatory power,<br />

and PD calibration – Cumulative accuracy profile (CAP) –<br />

Accuracy ratio (AR) – Receiver operating characteristic –<br />

Kolmogorov-Smirnov statistic – Conditional and unconditional<br />

tests – Binomial test – Hosmer-Lemeshow test – Spiegelhalter<br />

test – Normal test<br />

VI: Economic Capital<br />

Leading Bank Credit Portfolio Strategies<br />

Mr Brian Dvorak, Moody’s KMV Credit Strategies Group<br />

• Leading banks manage their credit portfolios actively<br />

• Active credit portfolio management objectives<br />

and principles<br />

• Active credit portfolio management trends and<br />

success stories<br />

• Leading bank economic capital management strategies<br />

• Uses of required economic capital at leading banks<br />

• Leading bank credit portfolio management organisational<br />

models<br />

• Leading bank credit portfolio management strategies<br />

• Adopting leading bank strategies

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