ExtremeRisk Daily forecasts
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· Deutche Bank · 8 Jul 2026

Risk forecasts

VaR & Expected Shortfall, by method
Measure HS MA EWMA GARCH tGARCH EVT Mean ModelRisk
Value-at-Risk 6.26 4.84 5.16 6.09 6.9 5.88 5.86 1.43
Expected Shortfall 8.23 5.55 5.91 6.98 9.72 9.39 7.63 1.75

Returns

Daily log returns
Returns chart for DB

Value-at-Risk over time

Each method’s VaR forecast
Value-at-Risk over time chart for DB

Expected Shortfall over time

Each method’s ES forecast
Expected Shortfall over time chart for DB

Returns distribution

Empirical density vs fitted models
Returns distribution chart for DB

Autocorrelation

Returns and returns squared
Returns
Returns autocorrelation chart for DB
Returns squared
Returns squared autocorrelation chart for DB

QQ plots

Tail behaviour against reference distributions
Normal
Normal QQ plot for DB
t(4)
t(4) QQ plot for DB
t(3.5)
t(3.5) QQ plot for DB
t(3)
t(3) QQ plot for DB

Extreme event analysis

Waiting time and probability of a large drop
Drop given year
Extreme event analysis drop given year chart for DB
Probability of event
Extreme event analysis probability of event chart for DB