Implementation and Uses of Economic Capital ... - ERM Symposium
Implementation and Uses of Economic Capital ... - ERM Symposium
Implementation and Uses of Economic Capital ... - ERM Symposium
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Aggregating results across risks for one business:<br />
The use <strong>of</strong> correlation matrices has been the dominant industry trend<br />
Correlation matrix<br />
• By pair <strong>of</strong> tail risk events (e.g. equity level <strong>and</strong> interest rate level)<br />
• In the tails, not average over time<br />
• Based on historical data <strong>and</strong> expert judgment (where data is limited)<br />
• Emerging as the best practice across the industry with increasing degree <strong>of</strong><br />
convergence in the range <strong>of</strong> values across different users<br />
• Correlation at the lowest level <strong>of</strong> risk drivers (sub-components <strong>of</strong> risk) not just between<br />
major risk categories (like equity, interest rate, credit)<br />
• Test correlations by evaluating vs. specific scenarios with no assumed correlation<br />
Historical extreme events like 1987 market crash, Russian default 1998, 2001, 2008<br />
Hypothetical scenarios like inflation spike, increased leverage in the system widening spreads<br />
Copula (a set <strong>of</strong> fitted correlation distributions)<br />
• A newer practice. May be challenged by lack <strong>of</strong> data to fit distributions<br />
• Can be difficult to explain results & business linkages to management