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Model risk of risk models

06367110 / BANK MONTREAL QUE


1998-08-14 to 1998-11-14
Non-overlapping, 99% VaR Non-overlapping, 99% ES 10-day overlapping, 99% VaR 10-day overlapping, 99% ES Non-overlapping, 97.5% VaR Non-overlapping, 97.5% ES 10-day overlapping, 97.5% VaR 10-day overlapping, 97.5% ES
obs 23.00 23.00 14.00 14.00 23.00 23.00 14.00 14.00
min 1.64 1.75 1.59 1.59 1.60 1.64 1.59 1.59
max 2.54 2.83 3.69 3.69 2.40 2.61 3.69 3.69
mean 1.98 2.20 2.36 2.36 1.92 2.04 2.36 2.36
st.dev. 0.28 0.32 0.65 0.64 0.25 0.30 0.65 0.65
Q5% 1.64 1.81 1.61 1.63 1.64 1.68 1.60 1.62
Q50% 1.90 2.09 2.26 2.26 1.84 1.95 2.26 2.26
Q95% 2.48 2.75 3.56 3.56 2.37 2.55 3.56 3.56


2001-03-14 to 2001-11-14
Non-overlapping, 99% VaR Non-overlapping, 99% ES 10-day overlapping, 99% VaR 10-day overlapping, 99% ES Non-overlapping, 97.5% VaR Non-overlapping, 97.5% ES 10-day overlapping, 97.5% VaR 10-day overlapping, 97.5% ES
obs 168.00 168.00 168.00 168.00 168.00 168.00 168.00 168.00
min 1.16 1.24 1.13 1.25 1.11 1.18 1.06 1.15
max 2.24 2.42 3.97 4.99 2.24 2.29 3.47 4.26
mean 1.45 1.60 2.12 2.40 1.41 1.49 2.00 2.17
st.dev. 0.20 0.22 0.55 0.68 0.21 0.21 0.51 0.58
Q5% 1.22 1.33 1.37 1.41 1.18 1.25 1.30 1.37
Q50% 1.41 1.55 2.12 2.45 1.37 1.44 1.97 2.16
Q95% 1.82 1.98 2.98 3.31 1.77 1.85 2.76 3.04


2007-12-14 to 2009-06-14
Non-overlapping, 99% VaR Non-overlapping, 99% ES 10-day overlapping, 99% VaR 10-day overlapping, 99% ES Non-overlapping, 97.5% VaR Non-overlapping, 97.5% ES 10-day overlapping, 97.5% VaR 10-day overlapping, 97.5% ES
obs 376.00 376.00 376.00 376.00 376.00 376.00 376.00 376.00
min 1.26 1.48 1.28 1.28 1.19 1.30 1.09 1.28
max 6.03 6.57 11.01 11.99 5.68 6.17 10.53 11.25
mean 2.37 2.56 2.87 3.09 2.26 2.42 2.83 2.90
st.dev. 0.79 0.87 1.31 1.43 0.73 0.81 1.29 1.32
Q5% 1.45 1.54 1.48 1.64 1.41 1.46 1.46 1.50
Q50% 2.18 2.37 2.52 2.67 2.07 2.22 2.48 2.59
Q95% 3.79 4.14 5.47 6.12 3.56 3.87 5.42 5.50


1974-01-01 to 2012-12-31
Non-overlapping, 99% VaR Non-overlapping, 99% ES 10-day overlapping, 99% VaR 10-day overlapping, 99% ES Non-overlapping, 97.5% VaR Non-overlapping, 97.5% ES 10-day overlapping, 97.5% VaR 10-day overlapping, 97.5% ES
obs 3576.00 3576.00 3567.00 3567.00 3576.00 3576.00 3567.00 3567.00
min 1.11 1.18 1.04 1.06 1.11 1.11 1.04 1.03
max 6.03 6.57 13.67 20.33 5.68 6.17 11.04 15.65
mean 1.82 2.02 2.49 2.70 1.72 1.87 2.34 2.50
st.dev. 0.65 0.75 1.12 1.38 0.59 0.67 0.97 1.16
Q5% 1.25 1.35 1.31 1.35 1.20 1.28 1.30 1.32
Q50% 1.58 1.75 2.22 2.37 1.51 1.62 2.14 2.24
Q95% 3.23 3.63 4.71 5.35 3.05 3.34 4.18 4.72