1 Introduction
2 Literature review
3 Data1
Country | Terms | N. obs. | µ | σ | Skew | Kurt | µ/σ |
---|---|---|---|---|---|---|---|
Andorra | Coronavirus | 151 | 21.993 | 19.640 | 1.794 | 3.867 | 1.120 |
Argentina | Coronavirus | 151 | 29.079 | 24.462 | 1.206 | 0.609 | 1.189 |
Australia | Coronavirus | 151 | 26.735 | 22.690 | 1.207 | 0.306 | 1.178 |
Austria | Coronavirus | 151 | 20.430 | 20.572 | 1.928 | 3.838 | 0.993 |
Bahamas | Coronavirus | 155 | 22.303 | 20.927 | 1.528 | 2.039 | 1.066 |
Bahrain | ف ريوس كورونا | 151 | 11.768 | 9.360 | 5.880 | 51.919 | 1.257 |
Barbados | Coronavirus | 155 | 26.800 | 22.471 | 1.293 | 1.209 | 1.193 |
Belarus | каранавірус | 148 | 1.973 | 11.097 | 7.449 | 58.031 | 0.178 |
Belgium | Coronavirus | 151 | 23.669 | 21.221 | 1.243 | 0.912 | 1.115 |
Brunei | Koronavirus | 149 | 3.651 | 17.847 | 4.746 | 20.878 | 0.205 |
Bulgaria | коронавирус | 154 | 22.786 | 21.561 | 1.341 | 1.104 | 1.057 |
Canada | Coronavirus | 152 | 25.039 | 22.082 | 1.398 | 1.268 | 1.134 |
Chile | Coronavirus | 152 | 21.914 | 19.096 | 1.625 | 2.406 | 1.148 |
China | 新冠 病毒 | 150 | 30.513 | 24.353 | 0.677 | − 0.032 | 1.253 |
Croatia | Koronavirus | 154 | 22.539 | 23.752 | 1.169 | 0.157 | 0.949 |
Cyprus | κορωνοϊόσ | 115 | 13.322 | 21.840 | 1.587 | 2.013 | 0.610 |
Czech Republic | Koronavirus | 150 | 18.880 | 20.863 | 1.877 | 3.188 | 0.905 |
Denmark | Coronavirus | 154 | 20.994 | 20.459 | 1.595 | 2.090 | 1.026 |
Estonia | Koroonaviirus | 163 | 17.773 | 22.791 | 2.068 | 3.554 | 0.780 |
Finland | Koronaviirus | 152 | 12.974 | 15.485 | 2.597 | 10.577 | 0.838 |
France | Coronavirus | 151 | 23.060 | 21.109 | 1.465 | 2.102 | 1.092 |
Germany | Coronavirus | 152 | 22.296 | 19.562 | 1.411 | 1.765 | 1.140 |
Greece | κορωνοϊόσ | 115 | 3.774 | 14.466 | 6.049 | 35.634 | 0.261 |
Hong Kong | 新冠 病毒 | 154 | 32.175 | 20.736 | 0.780 | 0.649 | 1.552 |
Hungary | Koronavírus | 151 | 26.543 | 24.531 | 1.189 | 0.361 | 1.082 |
Iceland | Kórónaveira | 148 | 6.128 | 17.692 | 2.926 | 8.299 | 0.346 |
Ireland | Coronavirus | 151 | 27.245 | 23.121 | 1.114 | 0.584 | 1.178 |
Israel | נגיף קורונה | 154 | 29.182 | 21.834 | 1.166 | 0.811 | 1.337 |
Italy | Coronavirus | 150 | 25.960 | 22.112 | 1.130 | 0.554 | 1.174 |
Japan | コロナウイルス | 163 | 25.540 | 19.700 | 1.113 | 1.137 | 1.296 |
Kazakhstan | коронавирус | 151 | 32.086 | 24.145 | 0.727 | − 0.504 | 1.329 |
Kuwait | ف ريوس كورونا | 151 | 12.695 | 10.626 | 3.974 | 29.089 | 1.195 |
Latvia | Koronavīruss | 150 | 15.533 | 22.113 | 2.207 | 3.816 | 0.702 |
Liechtenstein | Coronavirus | 151 | 19.927 | 15.596 | 1.817 | 5.039 | 1.278 |
Lithuania | Koronavirusas | 159 | 23.572 | 26.291 | 1.369 | 0.775 | 0.897 |
Luxembourg | Coronavirus | 153 | 22.529 | 21.246 | 1.482 | 1.884 | 1.060 |
Malaysia | Koronavirus | 155 | 5.884 | 11.544 | 5.493 | 36.443 | 0.510 |
Malta | Koronavirus | 146 | 4.192 | 14.699 | 3.795 | 15.588 | 0.285 |
Montenegro | вирус Корона | 115 | 10.765 | 21.945 | 1.909 | 2.946 | 0.491 |
Netherlands | Coronavirus | 152 | 23.072 | 22.431 | 1.236 | 0.857 | 1.029 |
New Zealand | Coronavirus | 152 | 26.013 | 22.373 | 1.360 | 1.025 | 1.163 |
Norway | Koronavirus | 150 | 11.373 | 22.099 | 3.053 | 8.220 | 0.515 |
Oman | ف ريوس كورونا | 152 | 11.776 | 10.691 | 4.038 | 29.401 | 1.102 |
Palau | Coronavirus | 150 | 17.420 | 21.531 | 1.012 | 0.542 | 0.809 |
Poland | Koronawirus | 150 | 23.940 | 22.218 | 1.448 | 1.644 | 1.078 |
Portugal | Coronavírus | 149 | 5.383 | 11.303 | 7.275 | 57.320 | 0.476 |
Qatar | ف ريوس كورونا | 160 | 16.350 | 12.382 | 2.138 | 11.681 | 1.321 |
Romania | Coronavirus | 151 | 22.338 | 22.240 | 1.513 | 1.619 | 1.004 |
Russia | коронавирус | 151 | 16.762 | 15.348 | 1.776 | 5.187 | 1.092 |
Saudi Arabia | ف ريوس كورونا | 149 | 12.409 | 12.271 | 2.984 | 16.307 | 1.011 |
Seychelles | Coronavirus | 149 | 31.342 | 20.223 | 0.993 | 0.979 | 1.550 |
Singapore | 新冠 病毒 | 148 | 23.757 | 18.333 | 0.892 | 1.760 | 1.296 |
Slovakia | Koronavírus | 149 | 16.201 | 18.168 | 2.181 | 5.867 | 0.892 |
Slovenia | Koronavirus | 152 | 18.901 | 20.257 | 1.743 | 2.969 | 0.933 |
South Korea | 코로나 바이러스 | 152 | 8.967 | 16.827 | 3.654 | 13.159 | 0.533 |
Spain | Coronavirus | 151 | 22.490 | 21.035 | 1.601 | 2.516 | 1.069 |
Sweden | Coronavirus | 155 | 22.271 | 20.375 | 1.306 | 1.197 | 1.093 |
Switzerland | Coronavirus | 151 | 22.093 | 20.035 | 1.472 | 2.050 | 1.103 |
Turkey | Koronavirüs | 151 | 28.934 | 22.757 | 0.923 | 0.533 | 1.271 |
United Arab Emirates | ف ريوس كورونا | 164 | 15.878 | 13.302 | 2.037 | 8.827 | 1.194 |
United Kingdom | Coronavirus | 151 | 27.576 | 23.148 | 1.238 | 0.748 | 1.191 |
United States | Coronavirus | 151 | 25.397 | 23.879 | 1.329 | 0.896 | 1.064 |
Uruguay | Coronavirus | 151 | 19.570 | 20.028 | 1.809 | 3.270 | 0.977 |
Country | Index | N. obs. | µ | σ | µ\(_{\mathrm {{norm}}}\) | \(\upsigma _{\mathrm {{norm}}}\) | Skew\(_{\mathrm {{norm}}}\) | Kurt\(_{\mathrm {{norm}}}\) | µ\(_{\mathrm {{norm}}}\)/\(\sigma _{\mathrm {{norm}}}\) |
---|---|---|---|---|---|---|---|---|---|
Argentina | S&P MERVAL INDEX | 109 | 35486.915 | 6392.100 | 72.598 | 13.077 | − 0.399 | − 0.920 | 5.552 |
Australia | S&P/ASX 200 | 109 | 5911.601 | 747.938 | 82.535 | 10.442 | 0.465 | − 1.120 | 7.904 |
S&P/ASX 300 | 109 | 5871.308 | 746.514 | 82.512 | 10.491 | 0.451 | − 1.122 | 7.865 | |
Austria | ATX - AUSTRIAN TRADED INDEX | 109 | 2430.447 | 451.639 | 75.656 | 14.059 | 0.602 | − 1.060 | 5.381 |
Belgium | BEL 20 | 109 | 3329.824 | 468.996 | 79.313 | 11.171 | 0.510 | − 0.971 | 7.100 |
Bulgaria | BULGARIA SE SOFIX | 110 | 483.159 | 57.005 | 82.488 | 9.732 | 0.662 | − 1.198 | 8.476 |
Canada | S&P/TSX COMPOSITE INDEX | 110 | 15309.834 | 1702.964 | 85.320 | 9.490 | − 0.070 | − 0.765 | 8.990 |
S&P/TSX 60 INDEX | 110 | 922.101 | 95.774 | 86.235 | 8.957 | − 0.130 | − 0.672 | 9.628 | |
Chile | S&P/CLX IGPA CLP INDEX | 110 | 19958.315 | 2275.439 | 82.770 | 9.437 | − 0.061 | − 0.485 | 8.771 |
China | SHANGHAI SE A SHARE | 108 | 3019.785 | 91.141 | 93.812 | 2.831 | − 0.056 | − 0.572 | 33.133 |
SHENZHEN SE B SHARE | 108 | 874.845 | 52.208 | 88.023 | 5.253 | 0.589 | − 1.001 | 16.757 | |
Croatia | CROATIA CROBEX | 110 | 1695.045 | 214.439 | 82.471 | 10.433 | 0.577 | − 1.112 | 7.905 |
Cyprus | CYPRUS GENERAL | 83 | 50.145 | 5.027 | 76.969 | 7.715 | 2.246 | 3.667 | 9.976 |
Czech Republic | PRAGUE SE PX | 108 | 924.318 | 115.479 | 80.871 | 10.104 | 0.376 | − 0.834 | 8.004 |
Denmark | OMX COPENHAGEN (OMXC20) | 110 | 1158.501 | 82.213 | 91.520 | 6.495 | − 1.038 | 0.293 | 14.091 |
OMX COPENHAGEN (OMXC) | 110 | 931.722 | 71.290 | 90.021 | 6.888 | − 0.872 | − 0.073 | 13.070 | |
Estonia | OMX TALLINN (OMXT) | 117 | 1191.718 | 118.272 | 86.711 | 8.606 | 0.021 | − 1.203 | 10.076 |
Finland | OMX HELSINKI (OMXH) | 110 | 8951.857 | 1069.305 | 83.364 | 9.958 | − 0.048 | − 1.037 | 8.372 |
France | FRANCE CAC 40 | 109 | 4926.751 | 683.725 | 80.618 | 11.188 | 0.532 | − 1.070 | 7.206 |
SBF 120 | 109 | 3889.479 | 543.649 | 80.484 | 11.250 | 0.516 | − 1.082 | 7.154 | |
Germany | DAX 30 PERFORMANCE | 110 | 11498.195 | 1463.513 | 83.387 | 10.614 | − 0.023 | − 1.031 | 7.857 |
MDAX FRANKFURT | 110 | 24631.730 | 3074.107 | 83.909 | 10.472 | − 0.102 | − 1.037 | 8.013 | |
PRIME ALL SHARE (XETRA) | 110 | 4716.334 | 611.388 | 83.047 | 10.766 | 0.026 | − 1.048 | 7.714 | |
Greece | ATHEX COMPOSITE | 83 | 619.443 | 62.320 | 76.348 | 7.681 | 0.483 | 0.903 | 9.940 |
FTSE/ATHEX LARGE CAP | 83 | 1508.975 | 168.287 | 73.491 | 8.196 | 0.901 | 1.558 | 8.967 | |
Hong Kong | HANG SENG | 110 | 24983.880 | 1691.153 | 86.762 | 5.873 | 0.525 | − 0.811 | 14.773 |
HANG SENG CHINA ENTERPRISES | 110 | 10024.493 | 551.686 | 88.466 | 4.869 | 0.211 | − 0.231 | 18.171 | |
HANG SENG CHINA AFFILIATED CORP | 110 | 3894.232 | 302.801 | 85.101 | 6.617 | 0.286 | − 0.434 | 12.861 | |
Hungary | BUDAPEST (BUX) | 109 | 37429.623 | 4776.098 | 81.048 | 10.342 | 0.450 | − 1.224 | 7.837 |
Iceland | OMX ICELAND ALL SHARE | 106 | 1395.103 | 96.631 | 89.616 | 6.207 | − 0.328 | − 0.894 | 14.437 |
Ireland | ISEQ ALL SHARE INDEX | 109 | 5918.513 | 831.809 | 81.577 | 11.465 | 0.249 | − 1.153 | 7.115 |
Israel | ISRAEL TA 125 | 110 | 1427.398 | 154.637 | 84.756 | 9.182 | 0.114 | − 0.792 | 9.231 |
Italy | FTSE MIB INDEX | 108 | 19418.503 | 3093.527 | 76.218 | 12.142 | 0.658 | − 1.027 | 6.277 |
Japan | TOPIX | 117 | 1531.508 | 139.025 | 87.808 | 7.971 | − 0.024 | − 1.064 | 11.016 |
NIKKEI 225 STOCK AVERAGE | 117 | 21131.002 | 2114.473 | 87.741 | 8.780 | − 0.260 | − 1.016 | 9.994 | |
TSE SECOND SECTION | 117 | 6170.147 | 774.153 | 82.443 | 10.344 | 0.229 | − 1.201 | 7.970 | |
Latvia | OMX RIGA (OMXR) | 108 | 1003.015 | 54.737 | 94.273 | 5.145 | − 1.477 | 1.249 | 18.324 |
Lithuania | OMX VILNIUS (OMXV) | 115 | 695.252 | 47.960 | 92.656 | 6.392 | − 1.025 | − 0.131 | 14.497 |
Luxembourg | LUXEMBOURG SE GENERAL | 110 | 482.199 | 95.839 | 72.382 | 14.386 | 0.760 | − 1.002 | 5.031 |
Malaysia | FTSE BURSA MALAYSIA KLCI | 111 | 1447.520 | 91.933 | 90.708 | 5.761 | − 0.273 | − 0.895 | 15.745 |
Malta | MALTA SE MSE | 105 | 4165.910 | 324.601 | 88.641 | 6.907 | 0.598 | − 1.311 | 12.834 |
Netherlands | AEX INDEX (AEX) | 110 | 535.687 | 55.943 | 85.134 | 8.891 | − 0.077 | − 0.561 | 9.576 |
AEX ALL SHARE | 110 | 765.096 | 83.728 | 84.605 | 9.259 | − 0.025 | − 0.706 | 9.138 | |
New Zealand | S &P/NZX 50 | 110 | 4622.743 | 351.083 | 89.366 | 6.787 | − 0.451 | − 0.401 | 13.167 |
Norway | OSLO EXCHANGE ALL SHARE | 108 | 876.964 | 98.544 | 83.512 | 9.384 | 0.132 | − 0.898 | 8.899 |
Oman | OMAN MUSCAT SECURITIES MKT | 110 | 3705.503 | 288.851 | 88.283 | 6.882 | 0.617 | − 1.422 | 12.828 |
Poland | WARSAW GENERAL INDEX | 108 | 48442.017 | 5980.053 | 82.655 | 10.204 | 0.315 | − 0.984 | 8.101 |
Portugal | PORTUGAL PSI-20 | 107 | 4473.655 | 517.801 | 82.299 | 9.526 | 0.538 | − 0.945 | 8.640 |
PORTUGAL PSI ALL-SHARE | 107 | 1293.501 | 131.589 | 83.217 | 8.466 | 0.374 | − 0.871 | 9.830 | |
Romania | ROMANIA BET (L) | 109 | 8725.098 | 922.946 | 85.375 | 9.031 | 0.272 | − 1.180 | 9.454 |
Russia | RUSSIA RTS INDEX | 109 | 1237.167 | 204.970 | 75.699 | 12.542 | 0.361 | − 0.938 | 6.036 |
MOEX RUSSIA INDEX | 109 | 2739.974 | 252.593 | 85.378 | 7.871 | 0.054 | − 0.561 | 10.847 | |
Singapore | STRAITS TIMES INDEX L | 106 | 2741.389 | 281.596 | 84.610 | 8.691 | 0.638 | − 1.057 | 9.735 |
Slovakia | SLOVAKIA SAX 16 | 107 | 342.573 | 14.839 | 94.204 | 4.081 | − 0.188 | − 1.647 | 23.085 |
Slovenia | SLOVENIAN BLUE CHIP (SBI TOP) | 110 | 846.764 | 85.949 | 86.072 | 8.737 | 0.206 | − 1.087 | 9.852 |
South Korea | KOREA SE COMPOSITE (KOSPI) | 110 | 1989.641 | 187.604 | 87.756 | 8.275 | − 0.563 | − 0.192 | 10.606 |
KOREA SE KOSPI 200 | 110 | 266.169 | 24.970 | 86.961 | 8.158 | − 0.319 | − 0.510 | 10.659 | |
Spain | IBEX 35 | 109 | 7729.301 | 1252.259 | 76.652 | 12.419 | 0.727 | − 1.107 | 6.172 |
MADRID SE GENERAL (IGBM) | 109 | 765.974 | 126.374 | 76.468 | 12.616 | 0.736 | − 1.119 | 6.061 | |
Sweden | OMX STOCKHOLM 30 (OMXS30) | 111 | 1621.549 | 156.619 | 85.332 | 8.242 | 0.113 | − 0.924 | 10.353 |
OMX STOCKHOLM (OMXS) | 111 | 621.746 | 64.915 | 84.860 | 8.860 | − 0.101 | − 0.879 | 9.578 | |
Switzerland | SWISS MARKET (SMI) | 109 | 9889.044 | 736.210 | 87.801 | 6.537 | − 0.042 | − 0.310 | 13.432 |
Turkey | BIST NATIONAL 100 | 109 | 104932.181 | 10880.241 | 84.927 | 8.806 | 0.035 | − 1.023 | 9.644 |
United Kingdom | FTSE 100 | 109 | 6286.916 | 736.578 | 82.606 | 9.678 | 0.515 | − 0.950 | 8.535 |
FTSE ALL SHARE | 109 | 3478.904 | 425.013 | 82.373 | 10.063 | 0.492 | − 0.980 | 8.185 | |
FTSE 250 | 109 | 17623.833 | 2586.914 | 80.597 | 11.830 | 0.401 | − 1.037 | 6.813 | |
FTSE TECHMARK FOCUS (£) | 109 | 5226.403 | 573.801 | 85.119 | 9.345 | − 0.100 | − 0.668 | 9.108 | |
United States | S &P 500 COMPOSITE | 109 | 2958.381 | 282.570 | 87.367 | 8.345 | − 0.373 | − 0.505 | 10.470 |
DOW JONES INDUSTRIALS | 109 | 25186.118 | 2723.498 | 85.228 | 9.216 | − 0.057 | − 0.677 | 9.248 | |
NASDAQ COMPOSITE | 109 | 8841.200 | 826.366 | 88.232 | 8.247 | − 0.741 | − 0.367 | 10.699 | |
RUSSELL 2000 | 109 | 1379.807 | 202.794 | 81.353 | 11.957 | 0.090 | − 1.086 | 6.804 | |
NASDAQ 100 | 109 | 8871.472 | 773.012 | 87.886 | 7.658 | − 0.732 | − 0.243 | 11.477 | |
NYSE COMPOSITE | 109 | 11880.292 | 1407.200 | 84.037 | 9.954 | 0.178 | − 0.895 | 8.443 | |
Bahrain | MSCI BAHRAIN | 109 | 88.203 | 17.119 | 76.635 | 14.874 | 0.658 | − 1.358 | 5.152 |
MSCI BAHRAIN $ | 109 | 87.436 | 17.452 | 75.904 | 15.150 | 0.676 | − 1.352 | 5.010 | |
Kazakhstan | MSCI KAZAKHSTAN | 109 | 502.812 | 83.111 | 75.749 | 12.521 | 0.409 | − 1.129 | 6.050 |
MSCI KAZAKHSTAN U$ | 109 | 405.035 | 66.949 | 75.749 | 12.521 | 0.409 | − 1.129 | 6.050 | |
Montenegro | MONTENEGRO SE MONEX | 83 | 10439.545 | 411.055 | 92.385 | 3.638 | 1.122 | 0.039 | 25.397 |
Qatar | MSCI QATAR | 115 | 742.311 | 55.968 | 86.851 | 6.548 | 0.715 | − 0.730 | 13.263 |
MSCI QATAR $ | 115 | 742.235 | 55.970 | 86.849 | 6.549 | 0.715 | − 0.729 | 13.261 | |
Saudi Arabia | MSCI SAUDI ARABIA | 107 | 857.739 | 75.097 | 84.553 | 7.403 | 0.152 | − 0.823 | 11.422 |
MSCI SAUDI ARABIA $ | 107 | 856.837 | 75.450 | 84.485 | 7.439 | 0.161 | − 0.836 | 11.356 | |
United Arab Emirates | MSCI UAE | 118 | 280.885 | 40.723 | 81.191 | 11.771 | 0.394 | − 1.410 | 6.897 |
MSCI UAE $ | 118 | 280.876 | 40.722 | 81.191 | 11.771 | 0.394 | − 1.410 | 6.897 | |
Kuwait | DJ Islamic Market Kuwait | 109 | 658.603 | 80.377 | 83.045 | 10.135 | 0.610 | − 1.235 | 8.194 |
4 Indicators
4.1 Time-dependent indicators
4.2 Global indicators
5 Results and discussion
5.1 Analysis of the global indicators
-
The paths have drastically changed between the 7th and the 8th weeks of the year, namely between 17/02/2020 and 01/03/2020. During this period, the international community started to take the situation seriously despite the controversial statements of national governments’ heads. On 11/03/2020, WHO’s Director declared, “WHO has been assessing this outbreak around the clock, and we are deeply concerned both by the alarming levels of spread and severity, and by the alarming levels of inaction. We have, therefore, made the assessment that COVID-19 can be characterised as a pandemic.” WHO (2020).
-
Greece and South Korea have spent more than \(90\%\) of the analysed weeks in a quite positive mood, precisely reporting an \(A_j([t_1,t_2]) > 0.5\).
-
Cyprus and Iceland have experienced mild pessimism for quite a large number of weeks. They present \(A_j([t_1,t_2]) < 0.5\) at least \(40\%\) of the times in the studied period.
-
Weeks 10 and 11 are characterized by the lowest average of \(A_j([t_1,t_2])\). Their means across the countries are, respectively, 0.485 and 0.483.
-
The highest number of countries experiencing a \(A_j([t_1,t_2]) < 0.5\) is met on week 11. During 16/03/2020 - 20/03/2020, \(81\%\) of the analysed countries experienced a high volume of Google searches and low normalised prices. Therefore, a high level of pessimism is recorded. On the other hand, the tails (weeks 1-4 and 20-24) present a higher index level, with an increased presence of positivism in most countries during the most recent weeks.
5.2 Analysis of the time-dependent indicators
-
Latvia, Montenegro, Norway, Denmark and Canada have a vast majority of \(H_j^{(\zeta )} > 0.5\) manifesting a high average level of contemporaneous Google searches growth and stock indexes declines. Across the \(\zeta \)s used in calculating \(H_j^{(\zeta )}(k)\), such an occurrence appears at least in the \(90\%\) of the cases.
-
Malta has \(92\%\) of \(H_j^{(\zeta )} < 0.5\), representing an average low level of decreasing Google searches and stock indexes increments at the same time.
-
The highest value of \(H_j^{(\zeta )}\) occurs in Bahrain, with 0.559, for \(\zeta =0\). This finding is in agreement with those discussed already for \(H_j^{(\zeta )}(k)\) above
-
The smallest value of \(H_j^{(\zeta )}\) occurs in Italy, with 0.4, for \(\zeta =0\).
-
Qatar has the highest percentage of \(\zeta \)s such that \(R_j^{(\zeta )} > 0.5\), namely \(19.6\%\); therefore, it is the country having contemporaneous increases in Google searches and decreases in stock index prices for a large number of thresholds \(\zeta \)s. Belgium, Spain and France follow, with \(17.6\%\) of the \(\zeta \)s leading to \(R_j^{(\zeta )}\) in the range (0.5,1].
-
Greece, Malaysia, Argentina and New Zealand have the highest percentages of \(\zeta \)s such that \(R_j^{(\zeta )} < 0.5\), with the first two countries having \(11.8\%\) of the observations falling within [0,0.5) and the latest two ones having a proportion of \(9.8\%\).
-
The lowest value of \(R_j^{(\zeta )}\) occurs in Italy, with 0.421, for \(\zeta = 0\).
-
The highest value of \(R_j^{(\zeta )}\) occurs in Bahrain, with 0.565, for \(\zeta = 0\).
Country | Index | µ | σ | Skew | Kurt | µ/σ |
---|---|---|---|---|---|---|
Argentina | S&P MERVAL INDEX | 0.507 | 0.016 | − 1.075 | 0.147 | 31.047 |
Australia | S&P/ASX 200 | 0.507 | 0.015 | − 1.018 | − 0.112 | 33.143 |
S&P/ASX 300 | 0.507 | 0.015 | − 1.018 | − 0.113 | 33.086 | |
Austria | ATX - AUSTRIAN TRADED INDEX | 0.507 | 0.018 | − 1.405 | 1.891 | 28.855 |
Bahrain | MSCI BAHRAIN | 0.506 | 0.010 | − 1.064 | 2.100 | 52.517 |
MSCI BAHRAIN $ | 0.506 | 0.010 | − 1.032 | 2.024 | 52.041 | |
Belgium | BEL 20 | 0.507 | 0.016 | − 0.837 | − 0.387 | 31.297 |
Bulgaria | BULGARIA SE SOFIX | 0.507 | 0.016 | − 0.849 | − 0.382 | 31.820 |
Canada | S&P/TSX 60 INDEX | 0.507 | 0.016 | − 1.150 | 0.231 | 32.262 |
S&P/TSX COMPOSITE INDEX | 0.507 | 0.016 | − 1.138 | 0.201 | 32.048 | |
Chile | S&P/CLX IGPA CLP INDEX | 0.507 | 0.015 | − 1.561 | 2.619 | 32.734 |
China | SHANGHAI SE A SHARE | 0.508 | 0.007 | − 0.291 | − 0.900 | 69.022 |
SHENZHEN SE B SHARE | 0.508 | 0.007 | − 0.224 | − 0.917 | 73.086 | |
Croatia | CROATIA CROBEX | 0.507 | 0.017 | − 0.703 | − 0.895 | 29.432 |
Cyprus | CYPRUS GENERAL | 0.506 | 0.018 | 0.139 | − 1.095 | 28.743 |
Czech Republic | PRAGUE SE PX | 0.507 | 0.018 | − 1.595 | 2.014 | 27.678 |
Denmark | OMX COPENHAGEN (OMXC) | 0.506 | 0.017 | − 1.314 | 1.049 | 29.865 |
OMX COPENHAGEN (OMXC20) | 0.506 | 0.017 | − 1.327 | 1.093 | 30.002 | |
Estonia | OMX TALLINN (OMXT) | 0.506 | 0.017 | − 1.601 | 2.413 | 29.180 |
Finland | OMX HELSINKI (OMXH) | 0.506 | 0.017 | − 2.163 | 5.441 | 29.680 |
France | FRANCE CAC 40 | 0.507 | 0.016 | − 1.062 | 0.903 | 31.220 |
SBF 120 | 0.507 | 0.016 | − 1.064 | 0.905 | 31.176 | |
Germany | DAX 30 PERFORMANCE | 0.507 | 0.015 | − 0.906 | 0.235 | 34.239 |
MDAX FRANKFURT | 0.507 | 0.015 | − 0.896 | 0.160 | 34.282 | |
PRIME ALL SHARE (XETRA) | 0.507 | 0.015 | − 0.895 | 0.212 | 34.235 | |
Greece | ATHEX COMPOSITE | 0.516 | 0.023 | − 3.681 | 14.420 | 22.250 |
FTSE/ATHEX LARGE CAP | 0.516 | 0.023 | − 3.673 | 14.390 | 22.210 | |
Hong Kong | HANG SENG | 0.508 | 0.008 | − 0.370 | − 0.183 | 60.783 |
HANG SENG CHINA AFFILIATED CORP | 0.508 | 0.009 | − 0.393 | − 0.195 | 58.726 | |
HANG SENG CHINA ENTERPRISES | 0.508 | 0.008 | − 0.418 | − 0.269 | 61.537 | |
Hungary | BUDAPEST (BUX) | 0.506 | 0.017 | − 1.029 | 0.254 | 30.412 |
Iceland | OMX ICELAND ALL SHARE | 0.505 | 0.025 | − 1.059 | − 0.222 | 20.333 |
Ireland | ISEQ ALL SHARE INDEX | 0.507 | 0.016 | − 0.824 | − 0.299 | 32.556 |
Israel | ISRAEL TA 125 | 0.507 | 0.010 | − 0.959 | − 0.123 | 50.712 |
Italy | FTSE MIB INDEX | 0.507 | 0.014 | − 0.803 | 0.127 | 35.194 |
Japan | NIKKEI 225 STOCK AVERAGE | 0.506 | 0.012 | − 0.537 | − 0.722 | 43.446 |
TOPIX | 0.506 | 0.011 | − 0.538 | − 0.722 | 44.073 | |
TSE SECOND SECTION | 0.506 | 0.012 | − 0.516 | − 0.663 | 42.277 | |
Kazakhstan | MSCI KAZAKHSTAN | 0.507 | 0.014 | − 0.252 | − 1.378 | 36.482 |
MSCI KAZAKHSTAN U$ | 0.507 | 0.014 | − 0.252 | − 1.378 | 36.482 | |
Kuwait | DJ Islamic Market Kuwait | 0.506 | 0.013 | − 1.209 | 2.126 | 39.475 |
Latvia | OMX RIGA (OMXR) | 0.506 | 0.020 | − 1.713 | 2.434 | 25.431 |
Lithuania | OMX VILNIUS (OMXV) | 0.506 | 0.017 | − 1.185 | 0.339 | 29.350 |
Luxembourg | LUXEMBOURG SE GENERAL | 0.507 | 0.017 | − 0.934 | 0.297 | 29.277 |
Malaysia | FTSE BURSA MALAYSIA KLCI | 0.507 | 0.017 | − 2.683 | 8.680 | 29.648 |
Malta | MALTA SE MSE | 0.504 | 0.028 | − 1.119 | − 0.072 | 18.248 |
Montenegro | MONTENEGRO SE MONEX | 0.505 | 0.033 | − 2.264 | 6.125 | 15.321 |
Netherlands | AEX ALL SHARE | 0.507 | 0.017 | − 0.961 | − 0.322 | 30.288 |
AEX INDEX (AEX) | 0.507 | 0.017 | − 0.970 | − 0.293 | 30.392 | |
New Zealand | S&P/NZX 50 | 0.507 | 0.015 | − 1.291 | 0.794 | 33.972 |
Norway | OSLO EXCHANGE ALL SHARE | 0.508 | 0.023 | − 2.237 | 5.170 | 21.625 |
Oman | OMAN MUSCAT SECURITIES MKT | 0.507 | 0.013 | − 1.375 | 2.646 | 37.753 |
Poland | WARSAW GENERAL INDEX | 0.507 | 0.016 | − 1.093 | 0.449 | 30.770 |
Portugal | PORTUGAL PSI ALL-SHARE | 0.510 | 0.012 | − 1.266 | 1.360 | 43.377 |
PORTUGAL PSI-20 | 0.510 | 0.012 | − 1.202 | 1.268 | 42.707 | |
Qatar | MSCI QATAR | 0.507 | 0.010 | − 0.075 | − 1.102 | 51.130 |
MSCI QATAR $ | 0.507 | 0.010 | − 0.074 | − 1.102 | 51.130 | |
Romania | ROMANIA BET (L) | 0.507 | 0.017 | − 1.189 | 0.333 | 29.378 |
Russia | MOEX RUSSIA INDEX | 0.507 | 0.016 | − 1.033 | 0.462 | 32.642 |
RUSSIA RTS INDEX | 0.507 | 0.017 | − 0.888 | 0.119 | 29.871 | |
Saudi Arabia | MSCI SAUDI ARABIA | 0.507 | 0.016 | − 1.609 | 3.124 | 32.374 |
MSCI SAUDI ARABIA $ | 0.507 | 0.016 | − 1.607 | 3.117 | 32.346 | |
Singapore | STRAITS TIMES INDEX L | 0.507 | 0.008 | 0.491 | 0.214 | 61.183 |
Slovakia | SLOVAKIA SAX 16 | 0.507 | 0.016 | − 1.096 | − 0.001 | 32.341 |
Slovenia | SLOVENIAN BLUE CHIP (SBI TOP) | 0.507 | 0.017 | − 1.300 | 1.403 | 29.858 |
South Korea | KOREA SE COMPOSITE (KOSPI) | 0.507 | 0.026 | − 3.395 | 12.267 | 19.488 |
KOREA SE KOSPI 200 | 0.507 | 0.026 | − 3.395 | 12.262 | 19.467 | |
Spain | IBEX 35 | 0.507 | 0.017 | − 1.066 | 0.902 | 30.213 |
MADRID SE GENERAL (IGBM) | 0.507 | 0.017 | − 1.052 | 0.872 | 30.194 | |
Sweden | OMX STOCKHOLM (OMXS) | 0.506 | 0.015 | − 1.008 | 0.216 | 33.044 |
OMX STOCKHOLM 30 (OMXS30) | 0.506 | 0.015 | − 1.026 | 0.291 | 33.372 | |
Switzerland | SWISS MARKET (SMI) | 0.507 | 0.015 | − 1.188 | 0.720 | 33.293 |
Turkey | BIST NATIONAL 100 | 0.506 | 0.014 | − 0.759 | 0.214 | 35.367 |
United Arab Emirates | MSCI UAE | 0.507 | 0.012 | − 0.223 | − 0.665 | 43.329 |
MSCI UAE $ | 0.507 | 0.012 | − 0.223 | − 0.665 | 43.329 | |
United Kingdom | FTSE 100 | 0.506 | 0.015 | − 1.009 | 0.359 | 32.823 |
FTSE 250 | 0.506 | 0.016 | − 0.971 | 0.350 | 31.828 | |
FTSE ALL SHARE | 0.506 | 0.016 | − 1.003 | 0.360 | 32.642 | |
FTSE TECHMARK FOCUS (£) | 0.506 | 0.015 | − 1.097 | 0.529 | 32.673 | |
United States | DOW JONES INDUSTRIALS | 0.506 | 0.017 | − 1.095 | 0.172 | 30.084 |
NASDAQ 100 | 0.506 | 0.017 | − 1.151 | 0.227 | 30.388 | |
NASDAQ COMPOSITE | 0.506 | 0.017 | − 1.139 | 0.193 | 30.092 | |
NYSE COMPOSITE | 0.506 | 0.017 | − 1.070 | 0.116 | 29.925 | |
RUSSELL 2000 | 0.506 | 0.018 | − 1.030 | − 0.002 | 28.860 | |
S&P 500 COMPOSITE | 0.506 | 0.017 | − 1.116 | 0.175 | 30.276 |
Country | µ | σ | Skew | Kurt | µ/σ |
---|---|---|---|---|---|
Argentina | 0.507 | 0.016 | − 1.075 | 0.147 | 31.047 |
Australia | 0.507 | 0.015 | − 1.018 | − 0.112 | 33.115 |
Austria | 0.507 | 0.018 | − 1.405 | 1.891 | 28.855 |
Bahrain | 0.506 | 0.010 | − 1.048 | 2.062 | 52.279 |
Belgium | 0.507 | 0.016 | − 0.837 | − 0.387 | 31.297 |
Bulgaria | 0.507 | 0.016 | − 0.849 | − 0.382 | 31.820 |
Canada | 0.507 | 0.016 | − 1.144 | 0.216 | 32.155 |
Chile | 0.507 | 0.015 | − 1.561 | 2.619 | 32.734 |
China | 0.508 | 0.007 | − 0.262 | − 0.908 | 71.104 |
Croatia | 0.507 | 0.017 | − 0.703 | − 0.895 | 29.432 |
Cyprus | 0.506 | 0.018 | 0.139 | − 1.095 | 28.743 |
Czech Republic | 0.507 | 0.018 | − 1.595 | 2.014 | 27.678 |
Denmark | 0.506 | 0.017 | − 1.321 | 1.071 | 29.935 |
Estonia | 0.506 | 0.017 | − 1.601 | 2.413 | 29.180 |
Finland | 0.506 | 0.017 | − 2.163 | 5.441 | 29.680 |
France | 0.507 | 0.016 | − 1.063 | 0.904 | 31.198 |
Germany | 0.507 | 0.015 | − 0.900 | 0.203 | 34.254 |
Greece | 0.516 | 0.023 | − 3.678 | 14.411 | 22.232 |
Hong Kong | 0.508 | 0.008 | − 0.394 | − 0.215 | 60.339 |
Hungary | 0.506 | 0.017 | − 1.029 | 0.254 | 30.412 |
Iceland | 0.505 | 0.025 | − 1.059 | − 0.222 | 20.333 |
Ireland | 0.507 | 0.016 | − 0.824 | − 0.299 | 32.556 |
Israel | 0.507 | 0.010 | − 0.959 | − 0.123 | 50.712 |
Italy | 0.507 | 0.014 | − 0.803 | 0.127 | 35.194 |
Japan | 0.506 | 0.012 | − 0.532 | − 0.702 | 43.270 |
Kazakhstan | 0.507 | 0.014 | − 0.252 | − 1.378 | 36.482 |
Kuwait | 0.506 | 0.013 | − 1.209 | 2.126 | 39.475 |
Latvia | 0.506 | 0.020 | − 1.713 | 2.434 | 25.431 |
Lithuania | 0.506 | 0.017 | − 1.185 | 0.339 | 29.350 |
Luxembourg | 0.507 | 0.017 | − 0.934 | 0.297 | 29.277 |
Malaysia | 0.507 | 0.017 | − 2.683 | 8.680 | 29.648 |
Malta | 0.504 | 0.028 | − 1.119 | − 0.072 | 18.248 |
Montenegro | 0.505 | 0.033 | − 2.264 | 6.125 | 15.321 |
Netherlands | 0.507 | 0.017 | − 0.966 | − 0.308 | 30.340 |
New Zealand | 0.507 | 0.015 | − 1.291 | 0.794 | 33.972 |
Norway | 0.508 | 0.023 | − 2.237 | 5.170 | 21.625 |
Oman | 0.507 | 0.013 | − 1.375 | 2.646 | 37.753 |
Poland | 0.507 | 0.016 | − 1.093 | 0.449 | 30.770 |
Portugal | 0.510 | 0.012 | − 1.235 | 1.314 | 43.045 |
Qatar | 0.507 | 0.010 | − 0.075 | − 1.102 | 51.130 |
Romania | 0.507 | 0.017 | − 1.189 | 0.333 | 29.378 |
Russia | 0.507 | 0.016 | − 0.959 | 0.280 | 31.207 |
Saudi Arabia | 0.507 | 0.016 | − 1.608 | 3.120 | 32.360 |
Singapore | 0.507 | 0.008 | 0.491 | 0.214 | 61.183 |
Slovakia | 0.507 | 0.016 | − 1.096 | − 0.001 | 32.341 |
Slovenia | 0.507 | 0.017 | − 1.300 | 1.403 | 29.858 |
South Korea | 0.507 | 0.026 | − 3.395 | 12.265 | 19.478 |
Spain | 0.507 | 0.017 | − 1.059 | 0.887 | 30.203 |
Sweden | 0.506 | 0.015 | − 1.017 | 0.253 | 33.208 |
Switzerland | 0.507 | 0.015 | − 1.188 | 0.720 | 33.293 |
Turkey | 0.506 | 0.014 | − 0.759 | 0.214 | 35.367 |
United Arab Emirates | 0.507 | 0.012 | − 0.223 | − 0.665 | 43.329 |
United Kingdom | 0.506 | 0.016 | − 1.021 | 0.399 | 32.497 |
United States | 0.506 | 0.017 | − 1.107 | 0.152 | 29.962 |
Rank\(\backslash \)Week | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | ARE | ARE | LUX | SGP | MLT | LUX | ESP | MLT | CYP | KOR | ISL | MLT | ISL | MNE | ISL | ISL | GRC | MNE | GRC | GRC | MNE | MNE | MNE | GRC |
2 | JPN | QAT | HRV | NOR | ESP | ESP | AUT | KAZ | GRC | GRC | KOR | GRC | MYS | MLT | MYS | GRC | MLT | GRC | ISL | ISL | CYP | GRC | CYP | ISL |
3 | EST | JPN | BGR | HRV | NOR | ITA | LUX | RUS | MNE | OMN | GRC | KOR | CHN | MYS | ISR | FIN | ISL | MLT | LVA | MLT | GRC | ISL | GRC | MLT |
4 | EST | DEU | ESP | ITA | AUT | KAZ | GRC | MLT | MNE | NOR | MNE | MNE | ISR | FIN | ISR | LVA | ISL | FIN | LVA | ISL | MLT | ISL | KOR | |
5 | LTU | SVN | FRA | HRV | HRV | HUN | SAU | KOR | SAU | SAU | NOR | KOR | GRC | CHN | NLD | MYS | LVA | MYS | FIN | MLT | NOR | MLT | NOR | |
6 | SWE | HKG | PRT | TUR | NOR | BEL | NOR | TUR | RUS | KWT | LVA | ISR | FIN | GRC | MYS | NLD | MYS | CYP | NLD | NOR | LVA | NOR | LVA | |
7 | MYS | OMN | BGR | LUX | KAZ | MLT | PRT | KAZ | KWT | BHR | BHR | PRT | KOR | PRT | SWE | SWE | ISR | NLD | DNK | LVA | KOR | KOR | NLD | |
8 | ARE | GBR | AUT | BEL | NOR | AUS | RUS | BHR | OMN | KWT | BHR | CZE | CZE | PRT | FIN | NLD | CZE | NOR | DNK | DNK | LVA | MYS | ||
9 | NZL | IRL | POL | TUR | HRV | ARE | HRV | MYS | JPN | MYS | SAU | ITA | SVN | DNK | EST | EST | EST | KOR | SVK | SVK | FIN | FIN | ||
10 | CAN | ITA | FRA | POL | FRA | TUR | SAU | ARE | ARE | SAU | OMN | CHN | ITA | CHN | ISR | SWE | SVK | CYP | NLD | NLD | CHN | DNK | ||
11 | CHL | BEL | KAZ | FRA | POL | CHL | BHR | CHN | QAT | OMN | KWT | HKG | SGP | CHE | DNK | CZE | SWE | SWE | KOR | DEU | MYS | CZE | ||
12 | LTU | POL | SVN | HUN | IRL | CAN | OMN | KAZ | SGP | CHN | SGP | CHE | AUT | CZE | CZE | FIN | LTU | ISR | SWE | CZE | ARG | DEU | ||
13 | AUT | SVN | CZE | RUS | ISL | GBR | KWT | CHL | HKG | QAT | ARE | PRT | CHE | HKG | PRT | PRT | DNK | MYS | CHN | SWE | NLD | SWE | ||
14 | ESP | ROU | PRT | CZE | CZE | USA | NOR | NOR | LVA | ARE | QAT | SGP | HKG | BGR | KOR | ROU | SGP | EST | DEU | USA | DNK | SVK | ||
15 | NLD | TUR | BEL | SVN | PRT | KOR | BGR | NZL | CHN | JPN | LVA | SVN | SVK | ROU | ROU | DNK | ROU | LTU | LTU | ARG | CZE | USA | ||
16 | KOR | SAU | HUN | PRT | RUS | MYS | ROU | LTU | ISR | ISR | ITA | AUT | ESP | LUX | NZL | LTU | CHE | SVN | CZE | MYS | SVK | BEL | ||
17 | DNK | RUS | GBR | IRL | GBR | ARG | HUN | JPN | MNE | DNK | CYP | DEU | DEU | CYP | CAN | CAN | CAN | DEU | USA | FIN | DEU | FRA | ||
18 | JPN | AUT | IRL | ARG | SVN | HUN | LTU | SGP | MYS | ISL | DNK | QAT | POL | AUT | CHE | KOR | NZL | USA | NZL | FRA | SWE | CHE | ||
19 | EST | LUX | ROU | BGR | ROU | CYP | MYS | TUR | RUS | EST | NLD | ESP | FRA | DEU | USA | SVK | PRT | SVK | CHE | LTU | USA | LTU | ||
20 | IRL | ARG | BGR | DEU | DEU | QAT | ARG | QAT | EST | PRT | CHE | ISL | HUN | ITA | CHN | SVN | ARG | ARG | MYS | NZL | SGP | IRL | ||
21 | FRA | SVK | RUS | USA | TUR | NZL | CHL | HRV | LTU | SWE | DEU | EST | TUR | BEL | CHL | USA | SVN | CHE | ROU | CHE | FRA | EST | ||
22 | GBR | HKG | ARG | KWT | AUS | OMN | LVA | HKG | KAZ | HKG | CHL | SVK | ROU | POL | AUT | NZL | ISR | CZE | PRT | CAN | NZL | ITA | ||
23 | HUN | CHL | CHL | SAU | SAU | BEL | CAN | CYP | DNK | DEU | SWE | FRA | IRL | FRA | LTU | CHE | USA | BGR | CAN | EST | BEL | CAN | ||
24 | SWE | USA | KWT | ROU | ITA | SVK | QAT | AUS | CYP | NLD | FRA | GBR | USA | SVK | LUX | CHL | HRV | NZL | BGR | AUT | CHE | CYP | ||
25 | ROU | LTU | USA | CHL | USA | FRA | POL | ARG | SWE | ITA | EST | IRL | CAN | ESP | BEL | AUT | KOR | ROU | AUT | ROU | JPN | NZL | ||
26 | AUS | CHE | CHE | GBR | ARG | POL | EST | LVA | PRT | SGP | LUX | TUR | GBR | SGP | SVK | LUX | AUT | CAN | SVN | AUS | AUT | JPN | ||
27 | RUS | OMN | SVK | CHE | BGR | ESP | ESP | HUN | ITA | BGR | BEL | RUS | BHR | IRL | HRV | ARG | AUS | AUS | AUS | POL | LTU | AUS | ||
28 | TUR | KAZ | SAU | SVK | NLD | HKG | PRT | ISR | FIN | RUS | ESP | LUX | NZL | CHL | HKG | BGR | JPN | PRT | EST | SVN | HUN | AUT | ||
29 | BEL | HUN | DEU | NLD | CHE | HRV | ARE | GBR | HRV | FIN | AUT | CAN | QAT | TUR | BGR | IRL | CHN | HRV | POL | BEL | ITA | HUN | ||
30 | QAT | BHR | AUS | AUS | ARE | SGP | AUS | PRT | IRL | KAZ | IRL | CYP | AUS | GBR | AUS | AUS | HKG | IRL | HUN | CYP | CAN | POL | ||
31 | KAZ | AUS | OMN | LTU | KWT | IRL | NZL | FRA | SVN | AUT | GBR | POL | LUX | CAN | SVN | BEL | BEL | JPN | ARG | IRL | SVN | ESP | ||
32 | ARG | CZE | LTU | BHR | CAN | LUX | SVK | CAN | POL | CHE | HKG | ROU | CHL | NZL | DEU | POL | BGR | POL | IRL | ITA | AUS | LUX | ||
33 | CHE | CHN | ARE | EST | SVK | SVN | HKG | USA | AUS | CYP | NOR | NZL | ARG | HUN | ITA | HRV | HUN | AUT | BEL | HRV | ESP | ARG | ||
34 | USA | KWT | NLD | CAN | CHL | EST | SGP | BEL | BGR | SVK | BGR | ARE | JPN | USA | POL | NOR | DEU | HUN | HRV | KAZ | IRL | SVN | ||
35 | ISR | DEU | CAN | ARE | OMN | CZE | GBR | EST | SVK | POL | FIN | HUN | BGR | ARG | NOR | DEU | MNE | BEL | FRA | LUX | LUX | ROU | ||
36 | FIN | NZL | BHR | OMN | SWE | MNE | AUT | DEU | NLD | SVN | ROU | AUS | OMN | BHR | IRL | ITA | POL | SGP | ISR | ESP | ROU | GBR | ||
37 | ITA | QAT | EST | DNK | EST | LTU | USA | SVK | DEU | FRA | CAN | BEL | KAZ | AUS | GBR | CHN | IRL | HKG | JPN | JPN | PRT | SAU | ||
38 | POL | CAN | HKG | SWE | LTU | ROU | SVN | IRL | TUR | LUX | ARG | USA | BEL | KWT | FRA | JPN | LUX | FRA | ITA | PRT | POL | RUS | ||
39 | KWT | EST | NZL | QAT | DNK | DNK | LUX | BGR | ESP | BEL | LTU | JPN | NLD | SVN | ARG | FRA | NOR | LUX | LUX | SGP | HRV | CHL | ||
40 | NOR | NLD | DNK | KOR | NZL | BGR | CZE | CHE | BEL | LTU | TUR | KAZ | CYP | HRV | SGP | GBR | ITA | ITA | RUS | HUN | ISR | ISR | ||
41 | CZE | DNK | QAT | NZL | LVA | LVA | BEL | ITA | NZL | ESP | NZL | SWE | KWT | OMN | BHR | HUN | FRA | GBR | KAZ | BGR | EST | HRV | ||
42 | CHN | LVA | LVA | LVA | QAT | SWE | FIN | LUX | ROU | CZE | MLT | CHL | ARE | KAZ | TUR | HKG | GBR | CHN | HKG | ISR | GBR | KWT | ||
43 | LVA | FIN | SWE | JPN | FIN | ISR | CHN | NLD | CHE | IRL | CZE | ARG | SWE | MLT | JPN | SGP | CHL | RUS | ESP | CHN | RUS | CHN | ||
44 | BHR | SWE | JPN | FIN | SGP | AUT | JPN | ROU | CAN | CHL | HRV | NLD | SAU | QAT | ESP | TUR | ESP | KAZ | GBR | RUS | KAZ | PRT | ||
45 | SAU | ISR | SGP | HKG | KOR | KWT | IRL | SWE | AUT | CAN | SVN | BGR | HRV | ARE | HUN | ESP | TUR | KWT | QAT | GBR | CHL | OMN | ||
46 | PRT | JPN | FIN | ISR | BHR | DEU | DNK | POL | GBR | ROU | USA | BHR | RUS | SAU | KWT | BHR | RUS | CHL | FIN | SAU | QAT | ARE | ||
47 | SVK | ARE | KOR | CHN | MYS | BHR | FRA | ESP | LUX | HRV | AUS | HRV | DNK | RUS | RUS | KAZ | KAZ | TUR | SAU | CHL | SAU | BGR | ||
48 | SGP | KOR | CHN | SGP | JPN | CHN | ISL | DNK | ARG | USA | KAZ | DNK | LTU | LTU | KAZ | RUS | QAT | SAU | CHL | HKG | HKG | HKG | ||
49 | MYS | MLT | ISL | MYS | ISR | NLD | ISR | CZE | HUN | GBR | POL | LVA | NOR | NOR | ARE | CYP | ARE | MNE | SGP | KWT | KWT | KAZ | ||
50 | ISL | ISL | ISR | MLT | HKG | CHE | DEU | SVN | USA | TUR | JPN | KWT | EST | JPN | OMN | QAT | OMN | ESP | OMN | QAT | OMN | QAT | ||
51 | MYS | MYS | ISL | CHN | FIN | NLD | AUT | FRA | HUN | HUN | OMN | MLT | EST | SAU | KWT | KWT | QAT | ARE | BHR | BGR | TUR | |||
52 | JPN | CHE | FIN | CZE | ARG | SVK | LTU | LVA | MNE | QAT | ARE | SAU | ARE | TUR | OMN | TUR | MNE | |||||||
53 | ITA | ITA | ISL | CHL | NZL | RUS | SAU | KOR | LVA | CYP | OMN | BHR | BHR | KWT | TUR | ARE | BHR | |||||||
54 | ISL | SWE | MLT | MLT | AUS | GRC | NOR | MNE | KOR | MNE | SAU | MLT | OMN | BHR | ARE | BHR | SGP |
Country | Index | Max | \(\varsigma _{\mathrm {{max}}}\) | Min | \(\varsigma _{\mathrm {{min}}}\) | µ | \(\sigma \) | Skew | Kurt | µ/\(\sigma \) |
---|---|---|---|---|---|---|---|---|---|---|
Argentina | S&P MERVAL INDEX | 0.514 | 9 | 0.465 | 1 | 0.500 | 0.008 | − 2.744 | 9.300 | 61.631 |
Australia | S&P/ASX 200 | 0.509 | 5 | 0.440 | 0 | 0.499 | 0.009 | − 6.300 | 42.788 | 56.705 |
S&P/ASX 300 | 0.509 | 5 | 0.440 | 0 | 0.499 | 0.009 | − 6.293 | 42.719 | 56.645 | |
Austria | ATX - AUSTRIAN TRADED INDEX | 0.507 | 9 | 0.477 | 1 | 0.501 | 0.005 | − 3.228 | 13.247 | 100.479 |
Bahrain | MSCI BAHRAIN | 0.551 | 0 | 0.498 | 15 16 18 | 0.503 | 0.009 | 4.182 | 19.640 | 57.820 |
MSCI BAHRAIN $ | 0.567 | 0 | 0.498 | 15 16 18 | 0.503 | 0.011 | 4.810 | 26.024 | 47.043 | |
Belgium | BEL 20 | 0.521 | 3 | 0.440 | 0 | 0.501 | 0.011 | − 4.304 | 22.483 | 46.232 |
Bulgaria | BULGARIA SE SOFIX | 0.516 | 4 | 0.489 | 1 | 0.502 | 0.005 | 0.652 | 1.995 | 105.606 |
Canada | S&P/TSX 60 INDEX | 0.507 | 3 8 9 | 0.438 | 0 | 0.501 | 0.009 | − 6.381 | 42.982 | 53.798 |
S&P/TSX COMPOSITE INDEX | 0.507 | 7 8 9 | 0.415 | 0 | 0.501 | 0.013 | − 6.740 | 46.717 | 40.372 | |
Chile | S&P/CLX IGPA CLP INDEX | 0.509 | 3 4 | 0.452 | 0 | 0.501 | 0.008 | − 5.474 | 34.981 | 66.096 |
China | SHANGHAI SE A SHARE | 0.502 | 38 39 44 45 | 0.470 | 1 | 0.491 | 0.008 | − 0.374 | − 0.190 | 65.452 |
SHENZHEN SE B SHARE | 0.502 | 38 39 44 45 | 0.481 | 4 5 19 | 0.492 | 0.007 | 0.006 | − 1.320 | 74.779 | |
Croatia | CROATIA CROBEX | 0.509 | 13 17 18 | 0.484 | 0 | 0.500 | 0.005 | − 0.822 | 2.309 | 102.002 |
Cyprus | CYPRUS GENERAL | 0.527 | 1 | 0.485 | 37 | 0.502 | 0.010 | − 0.134 | − 1.083 | 49.747 |
Czech Republic | PRAGUE SE PX | 0.505 | 13 | 0.465 | 0 | 0.499 | 0.007 | − 3.918 | 17.128 | 76.321 |
Denmark | OMX COPENHAGEN (OMXC) | 0.511 | 11 12 [19–22] | 0.459 | 0 | 0.504 | 0.010 | − 4.029 | 17.348 | 52.754 |
OMX COPENHAGEN (OMXC20) | 0.511 | 11 12 [19–22] | 0.450 | 0 | 0.504 | 0.011 | − 4.241 | 18.684 | 45.541 | |
Estonia | OMX TALLINN (OMXT) | 0.515 | 3 4 | 0.453 | 0 | 0.503 | 0.008 | − 4.721 | 28.766 | 61.084 |
Finland | OMX HELSINKI (OMXH) | 0.507 | 3 | 0.484 | 1 | 0.498 | 0.005 | − 0.791 | − 0.380 | 91.540 |
France | FRANCE CAC 40 | 0.516 | 3 | 0.454 | 0 | 0.500 | 0.008 | − 4.757 | 29.627 | 66.787 |
SBF 120 | 0.519 | 3 | 0.449 | 0 | 0.500 | 0.008 | − 4.750 | 30.238 | 61.046 | |
Germany | DAX 30 PERFORMANCE | 0.509 | 8 | 0.445 | 0 | 0.498 | 0.009 | − 5.020 | 30.841 | 58.365 |
MDAX FRANKFURT | 0.509 | 3 8 | 0.440 | 0 | 0.498 | 0.010 | − 4.583 | 24.677 | 50.543 | |
PRIME ALL SHARE (XETRA) | 0.509 | 3 8 | 0.445 | 0 | 0.498 | 0.009 | − 4.756 | 28.379 | 57.124 | |
Greece | ATHEX COMPOSITE | 0.518 | 5 | 0.473 | 0 | 0.501 | 0.005 | − 2.020 | 17.092 | 93.853 |
FTSE/ATHEX LARGE CAP | 0.515 | 5 | 0.491 | 0 | 0.501 | 0.004 | 1.814 | 4.978 | 126.988 | |
Hong Kong | HANG SENG | 0.507 | 32 35 36 37 | 0.475 | 8 9 | 0.494 | 0.009 | − 0.587 | − 0.451 | 55.998 |
HANG SENG CHINA AFFILIATED CORP | 0.507 | 32 35 36 37 | 0.475 | 8 9 | 0.494 | 0.009 | − 0.691 | − 0.116 | 58.235 | |
HANG SENG CHINA ENTERPRISES | 0.507 | 32 35 36 37 | 0.454 | 0 | 0.493 | 0.010 | − 1.390 | 3.030 | 48.525 | |
Hungary | BUDAPEST (BUX) | 0.514 | 3 | 0.438 | 0 | 0.500 | 0.010 | − 5.290 | 32.563 | 50.278 |
Iceland | OMX ICELAND ALL SHARE | 0.512 | 3 | 0.490 | 1 | 0.502 | 0.003 | − 0.849 | 10.345 | 190.485 |
Ireland | ISEQ ALL SHARE INDEX | 0.512 | 5 | 0.468 | 0 | 0.501 | 0.006 | − 3.413 | 17.699 | 81.892 |
Israel | ISRAEL TA 125 | 0.516 | 3 | 0.493 | 19 40 41 42 | 0.500 | 0.005 | 1.244 | 1.194 | 94.872 |
Italy | FTSE MIB INDEX | 0.505 | 17 18 19 | 0.400 | 0 | 0.496 | 0.017 | − 4.751 | 24.584 | 29.866 |
Japan | NIKKEI 225 STOCK AVERAGE | 0.524 | 3 | 0.498 | 7 [14–23] [30–34] | 0.501 | 0.005 | 3.447 | 12.867 | 99.641 |
TOPIX | 0.522 | 0 3 | 0.498 | 7 [14–23] [30–34] | 0.501 | 0.005 | 2.774 | 7.487 | 92.170 | |
TSE SECOND SECTION | 0.526 | 3 | 0.491 | 0 | 0.501 | 0.006 | 2.838 | 8.749 | 84.948 | |
Kazakhstan | MSCI KAZAKHSTAN | 0.512 | 3 | 0.449 | 1 | 0.499 | 0.009 | − 4.280 | 22.439 | 57.636 |
MSCI KAZAKHSTAN U$ | 0.512 | 3 | 0.449 | 1 | 0.499 | 0.009 | − 4.280 | 22.439 | 57.636 | |
Kuwait | DJ Islamic Market Kuwait | 0.512 | 3 6 7 | 0.479 | 0 | 0.501 | 0.005 | − 1.317 | 10.495 | 109.350 |
Latvia | OMX RIGA (OMXR) | 0.514 | 1 | 0.484 | 0 | 0.506 | 0.004 | − 4.249 | 27.331 | 139.940 |
Lithuania | OMX VILNIUS (OMXV) | 0.511 | 8 | 0.428 | 0 | 0.502 | 0.012 | − 5.380 | 32.209 | 42.485 |
Luxembourg | LUXEMBOURG SE GENERAL | 0.507 | 11 | 0.461 | 0 | 0.500 | 0.007 | − 4.539 | 21.268 | 68.256 |
Malaysia | FTSE BURSA MALAYSIA KLCI | 0.502 | 3 4 | 0.493 | 1 5 | 0.499 | 0.002 | − 1.188 | 0.897 | 243.889 |
Malta | MALTA SE MSE | 0.514 | 1 | 0.493 | 44 | 0.498 | 0.003 | 3.985 | 18.747 | 158.192 |
Montenegro | MONTENEGRO SE MONEX | 0.512 | 1 49 50 | 0.466 | 0 | 0.505 | 0.006 | − 5.740 | 38.116 | 85.054 |
Netherlands | AEX ALL SHARE | 0.511 | 3 | 0.445 | 0 | 0.501 | 0.011 | − 4.483 | 20.758 | 47.356 |
AEX INDEX (AEX) | 0.509 | 3 | 0.440 | 0 | 0.501 | 0.011 | − 4.687 | 22.875 | 46.212 | |
New Zealand | S&P/NZX 50 | 0.507 | 4 [6–14] | 0.482 | 0 | 0.501 | 0.004 | − 2.059 | 11.283 | 126.313 |
Norway | OSLO EXCHANGE ALL SHARE | 0.507 | 3 6 | 0.472 | 0 | 0.502 | 0.005 | − 5.071 | 27.999 | 101.428 |
Oman | OMAN MUSCAT SECURITIES MKT | 0.507 | 0 3 8 9 10 | 0.495 | 1 | 0.502 | 0.002 | 0.690 | 1.077 | 212.642 |
Poland | WARSAW GENERAL INDEX | 0.509 | 6 8 9 | 0.472 | 0 | 0.501 | 0.006 | − 2.889 | 14.892 | 90.044 |
Portugal | PORTUGAL PSI ALL-SHARE | 0.514 | 3 | 0.465 | 0 | 0.497 | 0.006 | − 3.514 | 22.349 | 86.154 |
PORTUGAL PSI-20 | 0.517 | 3 | 0.469 | 0 | 0.498 | 0.005 | − 2.735 | 25.398 | 100.432 | |
Qatar | MSCI QATAR | 0.513 | 1 | 0.463 | 0 | 0.497 | 0.006 | − 3.840 | 25.296 | 85.521 |
MSCI QATAR $ | 0.513 | 1 | 0.463 | 0 | 0.497 | 0.006 | − 3.840 | 25.296 | 85.521 | |
Romania | ROMANIA BET (L) | 0.512 | 10 11 | 0.438 | 0 | 0.501 | 0.011 | − 4.731 | 26.581 | 47.579 |
Russia | MOEX RUSSIA INDEX | 0.519 | 3 | 0.477 | 0 | 0.501 | 0.005 | − 0.749 | 13.386 | 100.234 |
RUSSIA RTS INDEX | 0.519 | 3 4 | 0.477 | 0 | 0.501 | 0.006 | 0.104 | 7.538 | 83.881 | |
Saudi Arabia | MSCI SAUDI ARABIA | 0.509 | 6 | 0.467 | 0 | 0.501 | 0.006 | − 4.384 | 25.394 | 88.382 |
MSCI SAUDI ARABIA $ | 0.509 | 6 | 0.476 | 0 | 0.501 | 0.005 | − 3.191 | 15.193 | 105.779 | |
Singapore | STRAITS TIMES INDEX L | 0.512 | [22–25] | 0.481 | 8 9 | 0.500 | 0.009 | − 0.489 | − 1.109 | 53.898 |
Slovakia | SLOVAKIA SAX 16 | 0.507 | 12 | 0.491 | 3 | 0.501 | 0.002 | − 0.924 | 5.984 | 203.538 |
Slovenia | SLOVENIAN BLUE CHIP (SBI TOP) | 0.505 | 3 10 11 12 [15–20] | 0.454 | 0 | 0.500 | 0.007 | − 6.068 | 40.443 | 71.938 |
South Korea | KOREA SE COMPOSITE (KOSPI) | 0.509 | 3 | 0.452 | 0 | 0.499 | 0.007 | − 5.542 | 36.007 | 68.519 |
KOREA SE KOSPI 200 | 0.507 | 1 3 | 0.447 | 0 | 0.499 | 0.008 | − 5.715 | 37.381 | 63.011 | |
Spain | IBEX 35 | 0.507 | 8 | 0.438 | 0 | 0.500 | 0.009 | − 6.340 | 42.924 | 53.920 |
MADRID SE GENERAL (IGBM) | 0.507 | 8 | 0.433 | 0 | 0.500 | 0.010 | − 6.507 | 44.612 | 50.699 | |
Sweden | OMX STOCKHOLM (OMXS) | 0.530 | 3 | 0.475 | 0 | 0.504 | 0.008 | 0.108 | 4.526 | 63.761 |
OMX STOCKHOLM 30 (OMXS30) | 0.527 | 3 | 0.480 | 0 | 0.505 | 0.007 | 0.349 | 3.149 | 68.270 | |
Switzerland | SWISS MARKET (SMI) | 0.512 | 7 | 0.438 | 0 | 0.500 | 0.011 | − 4.758 | 26.526 | 48.007 |
Turkey | BIST NATIONAL 100 | 0.509 | [9–14] | 0.484 | 0 | 0.502 | 0.005 | − 1.214 | 3.323 | 101.176 |
United Arab Emirates | MSCI UAE | 0.528 | 1 | 0.494 | 4 | 0.500 | 0.005 | 4.768 | 28.447 | 109.837 |
MSCI UAE $ | 0.528 | 1 | 0.494 | 4 | 0.500 | 0.005 | 4.602 | 26.559 | 108.167 | |
United Kingdom | FTSE 100 | 0.516 | 3 4 | 0.433 | 0 | 0.501 | 0.011 | − 5.370 | 35.587 | 47.697 |
FTSE 250 | 0.519 | 4 | 0.442 | 0 | 0.501 | 0.009 | − 4.928 | 32.381 | 53.838 | |
FTSE ALL SHARE | 0.521 | 3 | 0.438 | 0 | 0.501 | 0.010 | − 4.884 | 32.159 | 49.932 | |
FTSE TECHMARK FOCUS (£) | 0.516 | 4 | 0.433 | 0 | 0.500 | 0.010 | − 5.748 | 38.462 | 48.849 | |
United States | DOW JONES INDUSTRIALS | 0.514 | 3 | 0.468 | 0 | 0.502 | 0.006 | − 3.841 | 24.215 | 85.246 |
NASDAQ 100 | 0.509 | 5 6 | 0.403 | 0 | 0.500 | 0.014 | − 6.601 | 45.426 | 35.075 | |
NASDAQ COMPOSITE | 0.512 | 6 | 0.403 | 0 | 0.500 | 0.015 | − 6.406 | 43.439 | 34.691 | |
NYSE COMPOSITE | 0.512 | [4–7] | 0.468 | 0 | 0.502 | 0.006 | − 4.019 | 25.496 | 86.318 | |
RUSSELL 2000 | 0.519 | 6 | 0.449 | 0 | 0.502 | 0.009 | − 4.863 | 31.991 | 59.408 | |
S&P 500 COMPOSITE | 0.514 | 3 | 0.444 | 0 | 0.502 | 0.009 | − 5.687 | 37.627 | 57.465 |
Country | Max | \(\varsigma _{\mathrm {{max}}}\) | Min | \(\varsigma _{\mathrm {{min}}}\) | µ | \(\sigma \) | Skew | Kurt | µ/\(\sigma \) |
---|---|---|---|---|---|---|---|---|---|
Argentina | 0.514 | 9 | 0.465 | 1 | 0.500 | 0.008 | − 2.744 | 9.300 | 61.631 |
Australia | 0.509 | 5 | 0.440 | 0 | 0.499 | 0.009 | − 6.300 | 42.784 | 56.684 |
Austria | 0.507 | 9 | 0.477 | 1 | 0.501 | 0.005 | − 3.228 | 13.247 | 100.479 |
Bahrain | 0.559 | 0 | 0.498 | 15 16 18 | 0.503 | 0.010 | 4.523 | 23.068 | 51.964 |
Belgium | 0.521 | 3 | 0.440 | 0 | 0.501 | 0.011 | − 4.304 | 22.483 | 46.232 |
Bulgaria | 0.516 | 4 | 0.489 | 1 | 0.502 | 0.005 | 0.652 | 1.995 | 105.606 |
Canada | 0.507 | 8 9 | 0.427 | 0 | 0.501 | 0.011 | − 6.609 | 45.353 | 46.197 |
Chile | 0.509 | 3 4 | 0.452 | 0 | 0.501 | 0.008 | − 5.474 | 34.981 | 66.096 |
China | 0.502 | 38 39 44 45 | 0.480 | 1 | 0.492 | 0.007 | 0.074 | − 1.293 | 73.282 |
Croatia | 0.509 | 13 17 18 | 0.484 | 0 | 0.500 | 0.005 | − 0.822 | 2.309 | 102.002 |
Cyprus | 0.527 | 1 | 0.485 | 37 | 0.502 | 0.010 | − 0.134 | − 1.083 | 49.747 |
Czech Republic | 0.505 | 13 | 0.465 | 0 | 0.499 | 0.007 | − 3.918 | 17.128 | 76.321 |
Denmark | 0.511 | 11 12 [19–22] | 0.454 | 0 | 0.504 | 0.010 | − 4.145 | 18.072 | 48.899 |
Estonia | 0.515 | 3 4 | 0.453 | 0 | 0.503 | 0.008 | − 4.721 | 28.766 | 61.084 |
Finland | 0.507 | 3 | 0.484 | 1 | 0.498 | 0.005 | − 0.791 | − 0.380 | 91.540 |
France | 0.517 | 3 | 0.451 | 0 | 0.500 | 0.008 | − 4.761 | 30.006 | 63.821 |
Germany | 0.509 | 8 | 0.443 | 0 | 0.498 | 0.009 | − 4.787 | 27.922 | 55.327 |
Greece | 0.517 | 5 | 0.482 | 0 | 0.501 | 0.005 | − 0.106 | 9.170 | 111.827 |
Hong Kong | 0.507 | 32 35 36 37 | 0.472 | 0 | 0.494 | 0.009 | − 0.702 | − 0.172 | 55.112 |
Hungary | 0.514 | 3 | 0.438 | 0 | 0.500 | 0.010 | − 5.290 | 32.563 | 50.278 |
Iceland | 0.512 | 3 | 0.490 | 1 | 0.502 | 0.003 | − 0.849 | 10.345 | 190.485 |
Ireland | 0.512 | 5 | 0.468 | 0 | 0.501 | 0.006 | − 3.413 | 17.699 | 81.892 |
Israel | 0.516 | 3 | 0.493 | 19 40 41 42 | 0.500 | 0.005 | 1.244 | 1.194 | 94.872 |
Italy | 0.505 | 17 18 19 | 0.400 | 0 | 0.496 | 0.017 | − 4.751 | 24.584 | 29.866 |
Japan | 0.524 | 3 | 0.498 | 7 [14–23] [30–34] | 0.501 | 0.005 | 3.091 | 10.265 | 97.770 |
Kazakhstan | 0.512 | 3 | 0.449 | 1 | 0.499 | 0.009 | − 4.280 | 22.439 | 57.636 |
Kuwait | 0.512 | 3 6 7 | 0.479 | 0 | 0.501 | 0.005 | − 1.317 | 10.495 | 109.350 |
Latvia | 0.514 | 1 | 0.484 | 0 | 0.506 | 0.004 | − 4.249 | 27.331 | 139.940 |
Lithuania | 0.511 | 8 | 0.428 | 0 | 0.502 | 0.012 | − 5.380 | 32.209 | 42.485 |
Luxembourg | 0.507 | 11 | 0.461 | 0 | 0.500 | 0.007 | − 4.539 | 21.268 | 68.256 |
Malaysia | 0.502 | 3 4 | 0.493 | 1 5 | 0.499 | 0.002 | − 1.188 | 0.897 | 243.889 |
Malta | 0.514 | 1 | 0.493 | 44 | 0.498 | 0.003 | 3.985 | 18.747 | 158.192 |
Montenegro | 0.512 | 1 49 50 | 0.466 | 0 | 0.505 | 0.006 | − 5.740 | 38.116 | 85.054 |
Netherlands | 0.510 | 3 | 0.443 | 0 | 0.501 | 0.011 | − 4.583 | 21.763 | 46.811 |
New Zealand | 0.507 | 4 [6–14] | 0.482 | 0 | 0.501 | 0.004 | − 2.059 | 11.283 | 126.313 |
Norway | 0.507 | 3 6 | 0.472 | 0 | 0.502 | 0.005 | − 5.071 | 27.999 | 101.428 |
Oman | 0.507 | 0 3 8 9 10 | 0.495 | 1 | 0.502 | 0.002 | 0.690 | 1.077 | 212.642 |
Poland | 0.509 | 6 8 9 | 0.472 | 0 | 0.501 | 0.006 | − 2.889 | 14.892 | 90.044 |
Portugal | 0.515 | 3 | 0.467 | 0 | 0.498 | 0.005 | − 3.255 | 25.052 | 94.406 |
Qatar | 0.513 | 1 | 0.463 | 0 | 0.497 | 0.006 | − 3.840 | 25.296 | 85.521 |
Romania | 0.512 | 10 11 | 0.438 | 0 | 0.501 | 0.011 | − 4.731 | 26.581 | 47.579 |
Russia | 0.519 | 3 | 0.477 | 0 | 0.501 | 0.005 | − 0.407 | 10.179 | 92.818 |
Saudi Arabia | 0.509 | 6 | 0.472 | 0 | 0.501 | 0.005 | − 3.806 | 20.311 | 96.753 |
Singapore | 0.512 | [22–25] | 0.481 | 8 9 | 0.500 | 0.009 | − 0.489 | − 1.109 | 53.898 |
Slovakia | 0.507 | 12 | 0.491 | 3 | 0.501 | 0.002 | − 0.924 | 5.984 | 203.538 |
Slovenia | 0.505 | 3 10 11 12 [15–20] | 0.454 | 0 | 0.500 | 0.007 | − 6.068 | 40.443 | 71.938 |
South Korea | 0.508 | 3 | 0.450 | 0 | 0.499 | 0.008 | − 5.714 | 37.367 | 65.922 |
Spain | 0.507 | 8 | 0.435 | 0 | 0.500 | 0.010 | − 6.430 | 43.834 | 52.273 |
Sweden | 0.528 | 3 | 0.477 | 0 | 0.505 | 0.008 | 0.246 | 4.104 | 66.680 |
Switzerland | 0.512 | 7 | 0.438 | 0 | 0.500 | 0.011 | − 4.758 | 26.526 | 48.007 |
Turkey | 0.509 | [9-14] | 0.484 | 0 | 0.502 | 0.005 | − 1.214 | 3.323 | 101.176 |
United Arab Emirates | 0.528 | 1 | 0.494 | 4 | 0.500 | 0.005 | 4.686 | 27.527 | 109.050 |
United Kingdom | 0.516 | 4 | 0.436 | 0 | 0.501 | 0.010 | − 5.343 | 35.349 | 50.233 |
United States | 0.512 | 6 | 0.439 | 0 | 0.502 | 0.010 | − 5.949 | 39.841 | 53.236 |
Country | Index | Max | \(\varsigma _{\mathrm {{max}}}\) | Min | \(\varsigma _{\mathrm {{min}}}\) | µ | \(\sigma \) | Skew | Kurt | µ/\(\sigma \) |
---|---|---|---|---|---|---|---|---|---|---|
Argentina | S&P MERVAL INDEX | 0.505 | 6 | 0.468 | 0 1 | 0.498 | 0.007 | − 4.252 | 18.219 | 76.251 |
Australia | S&P/ASX 200 | 0.514 | 2 | 0.454 | 0 | 0.499 | 0.007 | − 5.632 | 38.317 | 72.133 |
S&P/ASX 300 | 0.514 | 2 | 0.454 | 0 | 0.499 | 0.007 | − 5.357 | 35.016 | 70.676 | |
Austria | ATX - AUSTRIAN TRADED INDEX | 0.505 | 1 3 4 5 | 0.472 | 0 | 0.500 | 0.004 | − 5.806 | 39.154 | 120.645 |
Bahrain | MSCI BAHRAIN | 0.537 | 0 | 0.500 | [2–50] | 0.501 | 0.006 | 5.295 | 28.336 | 83.518 |
MSCI BAHRAIN $ | 0.565 | 0 | 0.500 | [2–50] | 0.502 | 0.010 | 5.906 | 36.395 | 51.702 | |
Belgium | BEL 20 | 0.523 | 2 | 0.463 | 0 | 0.501 | 0.007 | − 2.665 | 22.162 | 75.245 |
Bulgaria | BULGARIA SE SOFIX | 0.505 | [3–6] | 0.477 | 0 | 0.500 | 0.003 | − 5.628 | 38.402 | 144.571 |
Canada | S&P/TSX 60 INDEX | 0.509 | 2 3 | 0.450 | 0 | 0.500 | 0.008 | − 5.856 | 39.296 | 66.291 |
S&P/TSX COMPOSITE INDEX | 0.518 | 2 | 0.436 | 0 | 0.500 | 0.010 | − 5.708 | 38.948 | 51.904 | |
Chile | S&P/CLX IGPA CLP INDEX | 0.509 | 4 5 | 0.454 | 0 | 0.500 | 0.008 | − 4.796 | 26.899 | 66.081 |
China | SHANGHAI SE A SHARE | 0.500 | [3–50] | 0.481 | 0 1 | 0.499 | 0.004 | − 4.284 | 17.705 | 130.729 |
SHENZHEN SE B SHARE | 0.514 | 0 | 0.500 | [3–50] | 0.501 | 0.002 | 4.741 | 23.030 | 209.801 | |
Croatia | CROATIA CROBEX | 0.518 | 2 3 | 0.486 | 0 | 0.501 | 0.005 | 1.844 | 7.965 | 105.528 |
Cyprus | CYPRUS GENERAL | 0.524 | 1 | 0.494 | 0 | 0.501 | 0.005 | 3.362 | 13.220 | 109.736 |
Czech Republic | PRAGUE SE PX | 0.505 | [3–6] | 0.453 | 0 | 0.499 | 0.007 | − 6.031 | 39.432 | 72.275 |
Denmark | OMX COPENHAGEN (OMXC) | 0.514 | 2 | 0.463 | 0 | 0.499 | 0.006 | − 4.141 | 24.040 | 80.504 |
OMX COPENHAGEN (OMXC20) | 0.514 | 2 | 0.454 | 0 | 0.499 | 0.008 | − 4.642 | 26.610 | 66.297 | |
Estonia | OMX TALLINN (OMXT) | 0.509 | 2 3 | 0.453 | 0 | 0.499 | 0.007 | − 5.644 | 36.742 | 69.621 |
Finland | OMX HELSINKI (OMXH) | 0.518 | 1 | 0.500 | 0 [8–50] | 0.501 | 0.003 | 4.229 | 20.731 | 163.965 |
France | FRANCE CAC 40 | 0.505 | [1–9] | 0.458 | 0 | 0.500 | 0.006 | − 6.206 | 42.539 | 81.298 |
SBF 120 | 0.505 | [1–9] | 0.454 | 0 | 0.500 | 0.007 | − 6.369 | 43.954 | 73.868 | |
Germany | DAX 30 PERFORMANCE | 0.514 | 2 | 0.431 | 0 | 0.499 | 0.010 | − 6.182 | 42.386 | 49.564 |
MDAX FRANKFURT | 0.509 | 3 | 0.422 | 0 | 0.499 | 0.011 | − 6.679 | 46.596 | 44.906 | |
PRIME ALL SHARE (XETRA) | 0.518 | 2 | 0.427 | 0 | 0.499 | 0.011 | − 5.955 | 40.462 | 46.002 | |
Greece | ATHEX COMPOSITE | 0.500 | [6–50] | 0.488 | 0 1 2 | 0.499 | 0.003 | − 2.940 | 7.654 | 159.558 |
FTSE/ATHEX LARGE CAP | 0.500 | [6–50] | 0.488 | 1 2 | 0.499 | 0.003 | − 3.081 | 9.081 | 178.302 | |
Hong Kong | HANG SENG | 0.509 | 2 | 0.468 | 0 | 0.499 | 0.006 | − 4.514 | 22.529 | 88.329 |
HANG SENG CHINA AFFILIATED CORP | 0.505 | 2 | 0.477 | 0 | 0.499 | 0.004 | − 5.072 | 27.369 | 133.253 | |
HANG SENG CHINA ENTERPRISES | 0.509 | 2 | 0.445 | 0 | 0.499 | 0.009 | − 5.428 | 31.527 | 58.017 | |
Hungary | BUDAPEST (BUX) | 0.519 | 2 3 | 0.458 | 0 | 0.501 | 0.007 | − 3.121 | 22.725 | 68.434 |
Iceland | OMX ICELAND ALL SHARE | 0.514 | 1 2 | 0.500 | [7–50] | 0.501 | 0.003 | 3.546 | 13.001 | 165.438 |
Ireland | ISEQ ALL SHARE INDEX | 0.514 | 2 3 4 | 0.463 | 0 | 0.500 | 0.006 | − 3.489 | 24.217 | 78.581 |
Israel | ISRAEL TA 125 | 0.523 | 0 | 0.500 | [6–50] | 0.501 | 0.004 | 3.920 | 17.515 | 126.334 |
Italy | FTSE MIB INDEX | 0.505 | 5 | 0.421 | 0 | 0.498 | 0.012 | − 5.911 | 36.715 | 41.962 |
Japan | NIKKEI 225 STOCK AVERAGE | 0.517 | 1 | 0.500 | [4–50] | 0.501 | 0.004 | 3.545 | 11.735 | 139.959 |
TOPIX | 0.526 | 0 | 0.500 | [4–50] | 0.501 | 0.004 | 4.623 | 22.160 | 113.310 | |
TSE SECOND SECTION | 0.526 | 1 | 0.500 | [3–50] | 0.501 | 0.005 | 4.274 | 17.791 | 102.089 | |
Kazakhstan | MSCI KAZAKHSTAN | 0.509 | 2 3 | 0.491 | 1 | 0.500 | 0.003 | 0.822 | 9.432 | 200.434 |
MSCI KAZAKHSTAN U$ | 0.509 | 2 3 | 0.491 | 1 | 0.500 | 0.003 | 0.822 | 9.432 | 200.434 | |
Kuwait | DJ Islamic Market Kuwait | 0.505 | 1 2 3 | 0.472 | 0 | 0.500 | 0.004 | − 6.271 | 43.554 | 123.714 |
Latvia | OMX RIGA (OMXR) | 0.505 | [10–13] | 0.463 | 0 | 0.499 | 0.006 | − 6.000 | 39.837 | 90.399 |
Lithuania | OMX VILNIUS (OMXV) | 0.504 | 2 [4–8] | 0.439 | 0 | 0.499 | 0.009 | − 6.777 | 47.575 | 57.276 |
Luxembourg | LUXEMBOURG SE GENERAL | 0.509 | [4–7] | 0.459 | 0 | 0.499 | 0.007 | − 4.185 | 22.310 | 70.029 |
Malaysia | FTSE BURSA MALAYSIA KLCI | 0.500 | [6–50] | 0.486 | 1 | 0.499 | 0.002 | − 4.174 | 20.378 | 219.740 |
Malta | MALTA SE MSE | 0.510 | 1 | 0.500 | [2–50] | 0.500 | 0.001 | 5.654 | 33.118 | 338.369 |
Montenegro | MONTENEGRO SE MONEX | 0.506 | 1 2 | 0.482 | 0 | 0.500 | 0.003 | − 4.926 | 34.715 | 176.675 |
Netherlands | AEX ALL SHARE | 0.514 | 3 | 0.450 | 0 | 0.499 | 0.008 | − 4.650 | 25.601 | 59.359 |
AEX INDEX (AEX) | 0.514 | 3 | 0.445 | 0 | 0.499 | 0.009 | − 4.846 | 26.221 | 54.684 | |
New Zealand | S&P/NZX 50 | 0.500 | 4 [6–50] | 0.472 | 0 | 0.499 | 0.005 | − 4.201 | 18.213 | 101.422 |
Norway | OSLO EXCHANGE ALL SHARE | 0.505 | 2 3 | 0.467 | 0 | 0.499 | 0.006 | − 4.876 | 24.372 | 88.643 |
Oman | OMAN MUSCAT SECURITIES MKT | 0.509 | 0 | 0.500 | [2–50] | 0.500 | 0.001 | 5.654 | 33.120 | 354.632 |
Poland | WARSAW GENERAL INDEX | 0.519 | 3 | 0.463 | 0 | 0.501 | 0.007 | − 2.761 | 19.523 | 72.977 |
Portugal | PORTUGAL PSI ALL-SHARE | 0.505 | 2 3 | 0.467 | 0 | 0.499 | 0.005 | − 6.051 | 39.932 | 102.842 |
PORTUGAL PSI-20 | 0.505 | 2 3 | 0.458 | 0 | 0.499 | 0.006 | − 6.429 | 43.769 | 81.772 | |
Qatar | MSCI QATAR | 0.509 | 3 | 0.469 | 0 | 0.500 | 0.005 | − 4.997 | 32.597 | 102.766 |
MSCI QATAR $ | 0.509 | 3 | 0.469 | 0 | 0.500 | 0.005 | − 4.997 | 32.597 | 102.766 | |
Romania | ROMANIA BET (L) | 0.505 | 5 6 | 0.431 | 0 | 0.499 | 0.010 | − 6.669 | 46.032 | 50.601 |
Russia | MOEX RUSSIA INDEX | 0.505 | 2 3 4 | 0.440 | 0 | 0.499 | 0.009 | − 6.714 | 46.751 | 58.481 |
RUSSIA RTS INDEX | 0.505 | 1 3 4 | 0.444 | 0 | 0.499 | 0.008 | − 6.646 | 46.072 | 63.137 | |
Saudi Arabia | MSCI SAUDI ARABIA | 0.500 | 2 3 [5–50] | 0.448 | 0 | 0.499 | 0.007 | − 6.750 | 46.843 | 68.313 |
MSCI SAUDI ARABIA $ | 0.500 | 2 3 [5–50] | 0.467 | 0 | 0.499 | 0.005 | − 6.293 | 41.657 | 104.742 | |
Singapore | STRAITS TIMES INDEX L | 0.510 | [0-5] | 0.500 | [6–50] | 0.501 | 0.003 | 2.446 | 4.144 | 163.309 |
Slovakia | SLOVAKIA SAX 16 | 0.505 | 1 | 0.500 | 0 [2–50] | 0.500 | 0.001 | 7.141 | 51.000 | 764.662 |
Slovenia | SLOVENIAN BLUE CHIP (SBI TOP) | 0.514 | 2 3 | 0.477 | 0 | 0.501 | 0.005 | − 1.308 | 13.235 | 105.358 |
South Korea | KOREA SE COMPOSITE (KOSPI) | 0.500 | 1 [3–50] | 0.459 | 0 | 0.499 | 0.006 | − 7.015 | 49.685 | 86.853 |
KOREA SE KOSPI 200 | 0.505 | 1 | 0.454 | 0 | 0.499 | 0.006 | − 6.920 | 48.869 | 77.686 | |
Spain | IBEX 35 | 0.514 | 2 | 0.449 | 0 | 0.500 | 0.008 | − 4.789 | 30.210 | 61.181 |
MADRID SE GENERAL (IGBM) | 0.514 | 2 | 0.449 | 0 | 0.500 | 0.008 | − 4.789 | 30.210 | 61.181 | |
Sweden | OMX STOCKHOLM (OMXS) | 0.514 | 3 | 0.482 | 1 | 0.500 | 0.004 | − 1.544 | 11.137 | 121.373 |
OMX STOCKHOLM 30 (OMXS30) | 0.514 | 3 | 0.486 | 0 | 0.500 | 0.003 | 0.170 | 11.270 | 152.713 | |
Switzerland | SWISS MARKET (SMI) | 0.505 | 2 3 5 6 7 | 0.440 | 0 | 0.499 | 0.010 | − 5.331 | 29.966 | 52.025 |
Turkey | BIST NATIONAL 100 | 0.505 | 5 6 | 0.486 | 0 | 0.500 | 0.003 | − 3.281 | 13.267 | 179.107 |
United Arab Emirates | MSCI UAE | 0.513 | 1 | 0.487 | 0 | 0.500 | 0.003 | − 0.335 | 16.006 | 174.802 |
MSCI UAE $ | 0.513 | 1 | 0.491 | 4 | 0.500 | 0.002 | 2.270 | 22.026 | 215.834 | |
United Kingdom | FTSE 100 | 0.509 | 1 2 6 | 0.444 | 0 | 0.500 | 0.008 | − 6.088 | 41.749 | 60.777 |
FTSE 250 | 0.509 | 1 4 5 | 0.463 | 0 | 0.500 | 0.006 | − 4.808 | 31.130 | 85.183 | |
FTSE ALL SHARE | 0.509 | 2 3 6 | 0.449 | 0 | 0.500 | 0.008 | − 5.911 | 40.311 | 65.655 | |
FTSE TECHMARK FOCUS (£) | 0.509 | 4 | 0.463 | 0 | 0.500 | 0.006 | − 5.931 | 40.824 | 90.912 | |
United States | DOW JONES INDUSTRIALS | 0.514 | 1 2 | 0.477 | 0 | 0.500 | 0.004 | − 1.873 | 18.181 | 113.195 |
NASDAQ 100 | 0.509 | 2 | 0.426 | 0 | 0.499 | 0.010 | − 6.914 | 48.941 | 48.018 | |
NASDAQ COMPOSITE | 0.505 | 2 6 7 | 0.431 | 0 | 0.499 | 0.010 | − 6.896 | 48.649 | 51.156 | |
NYSE COMPOSITE | 0.509 | 1 2 6 7 | 0.481 | 0 | 0.500 | 0.004 | − 1.613 | 14.685 | 135.393 | |
RUSSELL 2000 | 0.519 | 1 | 0.463 | 0 | 0.500 | 0.006 | − 3.505 | 25.055 | 79.248 | |
S&P 500 COMPOSITE | 0.509 | 1 2 | 0.458 | 0 | 0.500 | 0.006 | − 5.839 | 40.084 | 80.415 |
Country | Max | \(\varsigma _{\mathrm {{max}}}\) | Min | \(\varsigma _{\mathrm {{min}}}\) | µ | \(\sigma \) | Skew | Kurt | µ/\(\sigma \) |
---|---|---|---|---|---|---|---|---|---|
Argentina | 0.505 | 6 | 0.468 | 0 1 | 0.498 | 0.007 | − 4.252 | 18.219 | 76.251 |
Australia | 0.514 | 2 | 0.454 | 0 | 0.499 | 0.007 | − 5.499 | 36.750 | 71.468 |
Austria | 0.505 | 1 3 4 5 | 0.472 | 0 | 0.500 | 0.004 | − 5.806 | 39.154 | 120.645 |
Bahrain | 0.551 | 0 | 0.500 | [2–50] | 0.501 | 0.008 | 5.654 | 33.120 | 64.042 |
Belgium | 0.523 | 2 | 0.463 | 0 | 0.501 | 0.007 | − 2.665 | 22.162 | 75.245 |
Bulgaria | 0.505 | [3–6] | 0.477 | 0 | 0.500 | 0.003 | − 5.628 | 38.402 | 144.571 |
Canada | 0.514 | 2 | 0.443 | 0 | 0.500 | 0.009 | − 5.815 | 39.342 | 58.322 |
Chile | 0.509 | 4 5 | 0.454 | 0 | 0.500 | 0.008 | − 4.796 | 26.899 | 66.081 |
China | 0.500 | [2–50] | 0.493 | 1 | 0.500 | 0.001 | − 6.273 | 41.026 | 490.895 |
Croatia | 0.518 | 2 3 | 0.486 | 0 | 0.501 | 0.005 | 1.844 | 7.965 | 105.528 |
Cyprus | 0.524 | 1 | 0.494 | 0 | 0.501 | 0.005 | 3.362 | 13.220 | 109.736 |
Czech Republic | 0.505 | [3–6] | 0.453 | 0 | 0.499 | 0.007 | − 6.031 | 39.432 | 72.275 |
Denmark | 0.514 | 2 | 0.459 | 0 | 0.499 | 0.007 | − 4.427 | 25.467 | 72.761 |
Estonia | 0.509 | 2 3 | 0.453 | 0 | 0.499 | 0.007 | − 5.644 | 36.742 | 69.621 |
Finland | 0.518 | 1 | 0.500 | 0 [8–50] | 0.501 | 0.003 | 4.229 | 20.731 | 163.965 |
France | 0.505 | [1–9] | 0.456 | 0 | 0.500 | 0.007 | − 6.293 | 43.293 | 77.413 |
Germany | 0.512 | 2 | 0.427 | 0 | 0.499 | 0.011 | − 6.375 | 43.869 | 46.941 |
Greece | 0.500 | [6–50] | 0.488 | 1 2 | 0.499 | 0.003 | − 2.933 | 7.776 | 169.887 |
Hong Kong | 0.508 | 2 | 0.463 | 0 | 0.499 | 0.006 | − 5.076 | 27.686 | 83.566 |
Hungary | 0.519 | 2 3 | 0.458 | 0 | 0.501 | 0.007 | − 3.121 | 22.725 | 68.434 |
Iceland | 0.514 | 1 2 | 0.500 | [7–50] | 0.501 | 0.003 | 3.546 | 13.001 | 165.438 |
Ireland | 0.514 | 2 3 4 | 0.463 | 0 | 0.500 | 0.006 | − 3.489 | 24.217 | 78.581 |
Israel | 0.523 | 0 | 0.500 | [6–50] | 0.501 | 0.004 | 3.920 | 17.515 | 126.334 |
Italy | 0.505 | 5 | 0.421 | 0 | 0.498 | 0.012 | − 5.911 | 36.715 | 41.962 |
Japan | 0.520 | 0 1 | 0.500 | [4–50] | 0.501 | 0.004 | 4.058 | 15.910 | 119.395 |
Kazakhstan | 0.509 | 2 3 | 0.491 | 1 | 0.500 | 0.003 | 0.822 | 9.432 | 200.434 |
Kuwait | 0.505 | 1 2 3 | 0.472 | 0 | 0.500 | 0.004 | − 6.271 | 43.554 | 123.714 |
Latvia | 0.505 | [10–13] | 0.463 | 0 | 0.499 | 0.006 | − 6.000 | 39.837 | 90.399 |
Lithuania | 0.504 | 2 [4–8] | 0.439 | 0 | 0.499 | 0.009 | − 6.777 | 47.575 | 57.276 |
Luxembourg | 0.509 | [4–7] | 0.459 | 0 | 0.499 | 0.007 | − 4.185 | 22.310 | 70.029 |
Malaysia | 0.500 | [6–50] | 0.486 | 1 | 0.499 | 0.002 | − 4.174 | 20.378 | 219.740 |
Malta | 0.510 | 1 | 0.500 | [2–50] | 0.500 | 0.001 | 5.654 | 33.118 | 338.369 |
Montenegro | 0.506 | 1 2 | 0.482 | 0 | 0.500 | 0.003 | − 4.926 | 34.715 | 176.675 |
Netherlands | 0.514 | 3 | 0.447 | 0 | 0.499 | 0.009 | − 4.779 | 26.089 | 57.020 |
New Zealand | 0.500 | 4 [6–50] | 0.472 | 0 | 0.499 | 0.005 | − 4.201 | 18.213 | 101.422 |
Norway | 0.505 | 2 3 | 0.467 | 0 | 0.499 | 0.006 | − 4.876 | 24.372 | 88.643 |
Oman | 0.509 | 0 | 0.500 | [2–50] | 0.500 | 0.001 | 5.654 | 33.120 | 354.632 |
Poland | 0.519 | 3 | 0.463 | 0 | 0.501 | 0.007 | − 2.761 | 19.523 | 72.977 |
Portugal | 0.505 | 2 3 | 0.462 | 0 | 0.499 | 0.006 | − 6.268 | 42.134 | 91.164 |
Qatar | 0.509 | 3 | 0.469 | 0 | 0.500 | 0.005 | − 4.997 | 32.597 | 102.766 |
Romania | 0.505 | 5 6 | 0.431 | 0 | 0.499 | 0.010 | − 6.669 | 46.032 | 50.601 |
Russia | 0.505 | 3 4 | 0.442 | 0 | 0.499 | 0.008 | − 6.959 | 49.302 | 61.592 |
Saudi Arabia | 0.500 | 2 3 [5–50] | 0.458 | 0 | 0.499 | 0.006 | − 6.584 | 44.984 | 82.818 |
Singapore | 0.510 | [0–5] | 0.500 | [6–50] | 0.501 | 0.003 | 2.446 | 4.144 | 163.309 |
Slovakia | 0.505 | 1 | 0.500 | 0 [2–50] | 0.500 | 0.001 | 7.141 | 51.000 | 764.662 |
Slovenia | 0.514 | 2 3 | 0.477 | 0 | 0.501 | 0.005 | − 1.308 | 13.235 | 105.358 |
South Korea | 0.502 | 1 | 0.456 | 0 | 0.499 | 0.006 | − 6.994 | 49.508 | 82.115 |
Spain | 0.514 | 2 | 0.449 | 0 | 0.500 | 0.008 | − 4.789 | 30.210 | 61.181 |
Sweden | 0.514 | 3 | 0.486 | 0 | 0.500 | 0.004 | − 0.416 | 9.080 | 138.936 |
Switzerland | 0.505 | 2 3 5 6 7 | 0.440 | 0 | 0.499 | 0.010 | − 5.331 | 29.966 | 52.025 |
Turkey | 0.505 | 5 6 | 0.486 | 0 | 0.500 | 0.003 | − 3.281 | 13.267 | 179.107 |
United Arab Emirates | 0.513 | 1 | 0.491 | 0 4 | 0.500 | 0.003 | 1.175 | 17.126 | 197.300 |
United Kingdom | 0.507 | 4 6 | 0.455 | 0 | 0.500 | 0.007 | − 6.185 | 42.517 | 75.195 |
United States | 0.509 | 2 | 0.456 | 0 | 0.500 | 0.007 | − 6.095 | 42.091 | 77.219 |