ExtremeRisk Daily forecasts
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C

$ · Citigroup · 14 Oct 2026

Risk forecasts

VaR & Expected Shortfall, by method
Measure HS MA EWMA GARCH tGARCH EVT Mean ModelRisk
Value-at-Risk 5.3 4.2 4.42 5.07 5.46 5.06 4.92 1.3
Expected Shortfall 7.02 4.81 5.06 5.81 7.33 7.22 6.21 1.52

Returns

Daily log returns
Returns chart for C

Value-at-Risk over time

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

Expected Shortfall over time

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

Returns distribution

Empirical density vs fitted models
Returns distribution chart for C

Autocorrelation

Returns and returns squared
Returns
Returns autocorrelation chart for C
Returns squared
Returns squared autocorrelation chart for C

QQ plots

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

Extreme event analysis

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