Economic significance
| Model | WTI | Brent | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Returns | Volatility | CER | SP | Returns | Volatility | CER | SP | Returns | Volatility | CER | SP | Returns | Volatility | CER | SP | |
| BRAZIL | ||||||||||||||||
| Model-1 | 0.0982 | 2.5328 | −4.8969 | −0.0084 | 0.0983 | 2.5340 | −4.8968 | −0.0084 | 0.0982 | 2.5328 | −4.8969 | −0.0084 | 0.0983 | 2.5340 | −4.8968 | −0.0084 |
| Model-2 | 0.1039 | 2.6149 | −4.8678 | −0.0048 | 0.1040 | 2.6165 | −4.8677 | −0.0047 | 0.1014 | 2.5687 | −4.8916 | −0.0064 | 0.1015 | 2.5701 | −4.8915 | −0.0063 |
| Model-3 | 0.1205 | 2.5256 | −5.0155 | 0.0056 | 0.1206 | 2.5275 | −5.0154 | 0.0057 | 0.1255 | 2.6000 | −4.8651 | 0.0086 | 0.1257 | 2.6020 | −4.8650 | 0.0087 |
| CHINA | ||||||||||||||||
| Model-1 | 0.1050 | 3.6014 | −0.4042 | −0.0035 | 0.1043 | 3.5949 | −0.4049 | −0.0039 | 0.1050 | 3.6014 | −0.4042 | −0.0035 | 0.1043 | 3.5949 | −0.4049 | −0.0039 |
| Model-2 | 0.1287 | 3.7761 | −0.3830 | 0.0088 | 0.1278 | 3.7677 | −0.3839 | 0.0083 | 0.1364 | 3.8082 | −0.3809 | 0.0127 | 0.1355 | 3.7994 | −0.3818 | 0.0123 |
| Model-3 | 0.1909 | 4.3345 | −0.3442 | 0.0381 | 0.1899 | 4.3241 | −0.3453 | 0.0376 | 0.2103 | 4.4207 | −0.3235 | 0.0469 | 0.2092 | 4.4096 | −0.3247 | 0.0465 |
| INDIA | ||||||||||||||||
| Model-1 | 0.0739 | 4.0030 | −0.6548 | −0.0188 | 0.0737 | 4.0014 | −0.6550 | −0.0190 | 0.0739 | 4.0030 | −0.6548 | −0.0188 | 0.0737 | 4.0014 | −0.6550 | −0.0190 |
| Model-2 | 0.0915 | 3.8258 | −0.6814 | −0.0103 | 0.0911 | 3.8230 | −0.6817 | −0.0105 | 0.0996 | 3.9741 | −0.6686 | −0.0060 | 0.0992 | 3.9711 | −0.6690 | −0.0062 |
| Model-3 | 0.0592 | 4.2428 | −0.6868 | −0.0254 | 0.0590 | 4.2412 | −0.6870 | −0.0255 | 0.0621 | 4.2892 | −0.7141 | −0.0239 | 0.0617 | 4.2856 | −0.7145 | −0.0241 |
| INDONESIA | ||||||||||||||||
| Model-1 | 0.0926 | 3.9009 | −0.8471 | −0.0096 | 0.0926 | 3.9017 | −0.8471 | −0.0096 | 0.0926 | 3.9009 | −0.8471 | −0.0096 | 0.0926 | 3.9017 | −0.8471 | −0.0096 |
| Model-2 | 0.0993 | 3.8681 | −0.8400 | −0.0063 | 0.0993 | 3.8695 | −0.8400 | −0.0063 | 0.0963 | 3.8731 | −0.8564 | −0.0078 | 0.0963 | 3.8747 | −0.8564 | −0.0078 |
| Model-3 | 0.0986 | 3.8473 | −0.7229 | −0.0067 | 0.0985 | 3.8489 | −0.7229 | −0.0067 | 0.0942 | 3.7034 | −0.7662 | −0.0091 | 0.0940 | 3.7035 | −0.7663 | −0.0092 |
| RUSSIA | ||||||||||||||||
| Model-1 | 0.0037 | 4.8304 | −1.2623 | −0.0491 | 0.0035 | 4.8288 | −1.2626 | −0.0492 | 0.0037 | 4.8304 | −1.2623 | −0.0491 | 0.0035 | 4.8288 | −1.2626 | −0.0492 |
| Model-2 | −0.0108 | 4.7748 | −1.3264 | −0.0560 | −0.0110 | 4.7733 | −1.3266 | −0.0561 | −0.0021 | 4.8478 | −1.2696 | −0.0516 | −0.0023 | 4.8465 | −1.2698 | −0.0517 |
| Model-3 | −0.0029 | 4.9472 | −1.2573 | −0.0515 | −0.0032 | 4.9448 | −1.2576 | −0.0516 | −0.0040 | 4.9277 | −1.2837 | −0.0521 | −0.0043 | 4.9254 | −1.2840 | −0.0522 |
| S_AFRICA | ||||||||||||||||
| Model-1 | 0.1351 | 3.5240 | −0.4790 | 0.0125 | 0.1354 | 3.5268 | −0.4787 | 0.0126 | 0.1351 | 3.5240 | −0.4790 | 0.0125 | 0.1354 | 3.5268 | −0.4787 | 0.0126 |
| Model-2 | 0.1153 | 3.4096 | −0.5464 | 0.0020 | 0.1155 | 3.4118 | −0.5462 | 0.0021 | 0.1206 | 3.5370 | −0.5142 | 0.0048 | 0.1210 | 3.5401 | −0.5139 | 0.0050 |
| Model-3 | 0.1541 | 3.2386 | −0.5544 | 0.0236 | 0.1542 | 3.2399 | −0.5543 | 0.0236 | 0.1433 | 3.2680 | −0.5603 | 0.0175 | 0.1434 | 3.2696 | −0.5602 | 0.0176 |
| S_KOREA | ||||||||||||||||
| Model-1 | 0.1594 | 4.7148 | −1.2531 | 0.0220 | 0.1592 | 4.7129 | −1.2533 | 0.0219 | 0.1594 | 4.7148 | −1.2531 | 0.0220 | 0.1592 | 4.7129 | −1.2533 | 0.0219 |
| Model-2 | 0.1571 | 4.7664 | −1.2224 | 0.0208 | 0.1569 | 4.7645 | −1.2226 | 0.0207 | 0.1619 | 4.7709 | −1.2321 | 0.0230 | 0.1617 | 4.7687 | −1.2323 | 0.0229 |
| Model-3 | 0.1575 | 4.6355 | −1.2336 | 0.0213 | 0.1573 | 4.6333 | −1.2338 | 0.0212 | 0.1768 | 4.5825 | −1.2544 | 0.0305 | 0.1766 | 4.5805 | −1.2546 | 0.0304 |
| TURKEY | ||||||||||||||||
| Model-1 | 0.0687 | 1.3292 | −1.3057 | −0.0372 | 0.0685 | 1.3284 | −1.3059 | −0.0374 | 0.0687 | 1.3292 | −1.3057 | −0.0372 | 0.0685 | 1.3284 | −1.3059 | −0.0374 |
| Model-2 | 0.0612 | 1.3235 | −1.2980 | −0.0438 | 0.0610 | 1.3232 | −1.2981 | −0.0440 | 0.0703 | 1.3332 | −1.2982 | −0.0358 | 0.0700 | 1.3322 | −1.2984 | −0.0360 |
| Model-3 | 0.0476 | 1.4636 | −1.2552 | −0.0529 | 0.0475 | 1.4636 | −1.2553 | −0.0530 | 0.0450 | 1.4801 | −1.2268 | −0.0547 | 0.0449 | 1.4797 | −1.2269 | −0.0549 |
| VIETNAM | ||||||||||||||||
| Model-1 | 0.1627 | 6.0269 | −1.3374 | 0.0208 | 0.1626 | 6.0265 | −1.3374 | 0.0208 | 0.1627 | 6.0269 | −1.3374 | 0.0208 | 0.1626 | 6.0265 | −1.3374 | 0.0208 |
| Model-2 | 0.1463 | 6.0827 | −1.3740 | 0.0141 | 0.1463 | 6.0827 | −1.3740 | 0.0141 | 0.1537 | 6.0287 | −1.3603 | 0.0171 | 0.1537 | 6.0287 | −1.3603 | 0.0171 |
| Model-3 | 0.1466 | 5.9675 | −1.3017 | 0.0143 | 0.1464 | 5.9655 | −1.3019 | 0.0142 | 0.1229 | 6.0135 | −1.3499 | 0.0046 | 0.1228 | 6.0125 | −1.3500 | 0.0045 |
| Model | WTI | Brent | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Returns | Volatility | CER | SP | Returns | Volatility | CER | SP | Returns | Volatility | CER | SP | Returns | Volatility | CER | SP | |
| Model-1 | 0.0982 | 2.5328 | −4.8969 | −0.0084 | 0.0983 | 2.5340 | −4.8968 | −0.0084 | 0.0982 | 2.5328 | −4.8969 | −0.0084 | 0.0983 | 2.5340 | −4.8968 | −0.0084 |
| Model-2 | 0.1039 | 2.6149 | −4.8678 | −0.0048 | 0.1040 | 2.6165 | −4.8677 | −0.0047 | 0.1014 | 2.5687 | −4.8916 | −0.0064 | 0.1015 | 2.5701 | −4.8915 | −0.0063 |
| Model-3 | 0.1205 | 2.5256 | −5.0155 | 0.0056 | 0.1206 | 2.5275 | −5.0154 | 0.0057 | 0.1255 | 2.6000 | −4.8651 | 0.0086 | 0.1257 | 2.6020 | −4.8650 | 0.0087 |
| Model-1 | 0.1050 | 3.6014 | −0.4042 | −0.0035 | 0.1043 | 3.5949 | −0.4049 | −0.0039 | 0.1050 | 3.6014 | −0.4042 | −0.0035 | 0.1043 | 3.5949 | −0.4049 | −0.0039 |
| Model-2 | 0.1287 | 3.7761 | −0.3830 | 0.0088 | 0.1278 | 3.7677 | −0.3839 | 0.0083 | 0.1364 | 3.8082 | −0.3809 | 0.0127 | 0.1355 | 3.7994 | −0.3818 | 0.0123 |
| Model-3 | 0.1909 | 4.3345 | −0.3442 | 0.0381 | 0.1899 | 4.3241 | −0.3453 | 0.0376 | 0.2103 | 4.4207 | −0.3235 | 0.0469 | 0.2092 | 4.4096 | −0.3247 | 0.0465 |
| Model-1 | 0.0739 | 4.0030 | −0.6548 | −0.0188 | 0.0737 | 4.0014 | −0.6550 | −0.0190 | 0.0739 | 4.0030 | −0.6548 | −0.0188 | 0.0737 | 4.0014 | −0.6550 | −0.0190 |
| Model-2 | 0.0915 | 3.8258 | −0.6814 | −0.0103 | 0.0911 | 3.8230 | −0.6817 | −0.0105 | 0.0996 | 3.9741 | −0.6686 | −0.0060 | 0.0992 | 3.9711 | −0.6690 | −0.0062 |
| Model-3 | 0.0592 | 4.2428 | −0.6868 | −0.0254 | 0.0590 | 4.2412 | −0.6870 | −0.0255 | 0.0621 | 4.2892 | −0.7141 | −0.0239 | 0.0617 | 4.2856 | −0.7145 | −0.0241 |
| Model-1 | 0.0926 | 3.9009 | −0.8471 | −0.0096 | 0.0926 | 3.9017 | −0.8471 | −0.0096 | 0.0926 | 3.9009 | −0.8471 | −0.0096 | 0.0926 | 3.9017 | −0.8471 | −0.0096 |
| Model-2 | 0.0993 | 3.8681 | −0.8400 | −0.0063 | 0.0993 | 3.8695 | −0.8400 | −0.0063 | 0.0963 | 3.8731 | −0.8564 | −0.0078 | 0.0963 | 3.8747 | −0.8564 | −0.0078 |
| Model-3 | 0.0986 | 3.8473 | −0.7229 | −0.0067 | 0.0985 | 3.8489 | −0.7229 | −0.0067 | 0.0942 | 3.7034 | −0.7662 | −0.0091 | 0.0940 | 3.7035 | −0.7663 | −0.0092 |
| Model-1 | 0.0037 | 4.8304 | −1.2623 | −0.0491 | 0.0035 | 4.8288 | −1.2626 | −0.0492 | 0.0037 | 4.8304 | −1.2623 | −0.0491 | 0.0035 | 4.8288 | −1.2626 | −0.0492 |
| Model-2 | −0.0108 | 4.7748 | −1.3264 | −0.0560 | −0.0110 | 4.7733 | −1.3266 | −0.0561 | −0.0021 | 4.8478 | −1.2696 | −0.0516 | −0.0023 | 4.8465 | −1.2698 | −0.0517 |
| Model-3 | −0.0029 | 4.9472 | −1.2573 | −0.0515 | −0.0032 | 4.9448 | −1.2576 | −0.0516 | −0.0040 | 4.9277 | −1.2837 | −0.0521 | −0.0043 | 4.9254 | −1.2840 | −0.0522 |
| Model-1 | 0.1351 | 3.5240 | −0.4790 | 0.0125 | 0.1354 | 3.5268 | −0.4787 | 0.0126 | 0.1351 | 3.5240 | −0.4790 | 0.0125 | 0.1354 | 3.5268 | −0.4787 | 0.0126 |
| Model-2 | 0.1153 | 3.4096 | −0.5464 | 0.0020 | 0.1155 | 3.4118 | −0.5462 | 0.0021 | 0.1206 | 3.5370 | −0.5142 | 0.0048 | 0.1210 | 3.5401 | −0.5139 | 0.0050 |
| Model-3 | 0.1541 | 3.2386 | −0.5544 | 0.0236 | 0.1542 | 3.2399 | −0.5543 | 0.0236 | 0.1433 | 3.2680 | −0.5603 | 0.0175 | 0.1434 | 3.2696 | −0.5602 | 0.0176 |
| Model-1 | 0.1594 | 4.7148 | −1.2531 | 0.0220 | 0.1592 | 4.7129 | −1.2533 | 0.0219 | 0.1594 | 4.7148 | −1.2531 | 0.0220 | 0.1592 | 4.7129 | −1.2533 | 0.0219 |
| Model-2 | 0.1571 | 4.7664 | −1.2224 | 0.0208 | 0.1569 | 4.7645 | −1.2226 | 0.0207 | 0.1619 | 4.7709 | −1.2321 | 0.0230 | 0.1617 | 4.7687 | −1.2323 | 0.0229 |
| Model-3 | 0.1575 | 4.6355 | −1.2336 | 0.0213 | 0.1573 | 4.6333 | −1.2338 | 0.0212 | 0.1768 | 4.5825 | −1.2544 | 0.0305 | 0.1766 | 4.5805 | −1.2546 | 0.0304 |
| Model-1 | 0.0687 | 1.3292 | −1.3057 | −0.0372 | 0.0685 | 1.3284 | −1.3059 | −0.0374 | 0.0687 | 1.3292 | −1.3057 | −0.0372 | 0.0685 | 1.3284 | −1.3059 | −0.0374 |
| Model-2 | 0.0612 | 1.3235 | −1.2980 | −0.0438 | 0.0610 | 1.3232 | −1.2981 | −0.0440 | 0.0703 | 1.3332 | −1.2982 | −0.0358 | 0.0700 | 1.3322 | −1.2984 | −0.0360 |
| Model-3 | 0.0476 | 1.4636 | −1.2552 | −0.0529 | 0.0475 | 1.4636 | −1.2553 | −0.0530 | 0.0450 | 1.4801 | −1.2268 | −0.0547 | 0.0449 | 1.4797 | −1.2269 | −0.0549 |
| Model-1 | 0.1627 | 6.0269 | −1.3374 | 0.0208 | 0.1626 | 6.0265 | −1.3374 | 0.0208 | 0.1627 | 6.0269 | −1.3374 | 0.0208 | 0.1626 | 6.0265 | −1.3374 | 0.0208 |
| Model-2 | 0.1463 | 6.0827 | −1.3740 | 0.0141 | 0.1463 | 6.0827 | −1.3740 | 0.0141 | 0.1537 | 6.0287 | −1.3603 | 0.0171 | 0.1537 | 6.0287 | −1.3603 | 0.0171 |
| Model-3 | 0.1466 | 5.9675 | −1.3017 | 0.0143 | 0.1464 | 5.9655 | −1.3019 | 0.0142 | 0.1229 | 6.0135 | −1.3499 | 0.0046 | 0.1228 | 6.0125 | −1.3500 | 0.0045 |
Note(s): CER – certainty equivalent returns, SP – Sharpe ratio. Models with the highest returns, CER and SP; and least volatility are adjudged to yield the highest economic gains
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