ExtremeRisk Daily forecasts
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C

$ · Citigroup · 16 Jul 2026

Risk forecasts

VaR & Expected Shortfall, by method
Measure HS MA EWMA GARCH tGARCH EVT Mean ModelRisk
Value-at-Risk 5.24 4.21 4.68 4.86 5.32 5 4.89 1.26
Expected Shortfall 6.97 4.83 5.36 5.57 7.07 7.09 6.15 1.47

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