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PSI20

PSI 20 (Portugal) · 23 Jun 2026

Risk forecasts

VaR & Expected Shortfall, by method
Measure HS MA EWMA GARCH tGARCH EVT Mean ModelRisk
Value-at-Risk 2.58 2.04 1.68 1.81 1.92 2.4 2.07 1.53
Expected Shortfall 3.55 2.33 1.92 2.08 2.37 3.93 2.7 2.04

Returns

Daily log returns
Returns chart for PSI20

Value-at-Risk over time

Each method’s VaR forecast
Value-at-Risk over time chart for PSI20

Expected Shortfall over time

Each method’s ES forecast
Expected Shortfall over time chart for PSI20

Returns distribution

Empirical density vs fitted models
Returns distribution chart for PSI20

Autocorrelation

Returns and returns squared
Returns
Returns autocorrelation chart for PSI20
Returns squared
Returns squared autocorrelation chart for PSI20

QQ plots

Tail behaviour against reference distributions
Normal
Normal QQ plot for PSI20
t(4)
t(4) QQ plot for PSI20
t(3.5)
t(3.5) QQ plot for PSI20
t(3)
t(3) QQ plot for PSI20

Extreme event analysis

Waiting time and probability of a large drop
Drop given year
Extreme event analysis drop given year chart for PSI20
Probability of event
Extreme event analysis probability of event chart for PSI20