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Advanced Concerts in Capturing Market Risk: A ... - ERM Symposium

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Backtest<strong>in</strong>g Challenges<br />

VaR backtest<strong>in</strong>g: comparison of daily VaR to actual daily<br />

trad<strong>in</strong>g P&L to measure number of exceptions (i.e., when<br />

P&L exceeds VaR).<br />

What have we seen?<br />

Length of historical data: varies from months to years.<br />

Hold<strong>in</strong>g period: 1-day across firms<br />

Trad<strong>in</strong>g P&L:<br />

Dirty P&L that <strong>in</strong>cludes fee <strong>in</strong>come and commissions<br />

Clean P&L without fee <strong>in</strong>come and commissions<br />

Hypothetical P&L with fixed portfolio with no <strong>in</strong>tra-day trad<strong>in</strong>g<br />

Percentile: 95% & 99%<br />

Level of Aggregation<br />

Firm-wide level<br />

Portfolio level / Product level<br />

<strong>Advanced</strong> Concepts <strong>in</strong> Captur<strong>in</strong>g <strong>Market</strong> <strong>Risk</strong>: A Supervisory Perspective, Chicago, IL, March 14, 2011 22

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