Accessible Version
There is No Single Best Predictor of Recessions Accessible Data
Figure 1a: AUROC Sample 1954 - 2018
AUROC of all spreads
Months | TenFive | TenThree | TenOne | TenThreeMon | TenRFF | FiveThree | FiveOne | FiveThreeMon | FiveRFF | ThreeOne | ThreeThreeMon | ThreeRFF | OneThreeMon | OneRFF | ThreeMonRFF |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.738478 | 0.7606 | 0.810374 | 0.822859 | 0.874057 | 0.769231 | 0.828892 | 0.826378 | 0.875482 | 0.848835 | 0.806268 | 0.86417 | 0.618736 | 0.823194 | 0.825708 |
2 | 0.75838 | 0.77714 | 0.822443 | 0.833801 | 0.878339 | 0.778161 | 0.834822 | 0.831079 | 0.875149 | 0.852816 | 0.807853 | 0.859877 | 0.631615 | 0.821508 | 0.823677 |
3 | 0.776309 | 0.79621 | 0.838402 | 0.850585 | 0.881775 | 0.797304 | 0.849317 | 0.840965 | 0.872502 | 0.863545 | 0.81493 | 0.852255 | 0.626577 | 0.799464 | 0.799781 |
4 | 0.80255 | 0.822582 | 0.857206 | 0.86291 | 0.887529 | 0.825193 | 0.86607 | 0.846564 | 0.874495 | 0.874188 | 0.811809 | 0.848495 | 0.592373 | 0.789846 | 0.787476 |
5 | 0.823203 | 0.84489 | 0.875352 | 0.879008 | 0.89374 | 0.849206 | 0.882789 | 0.862279 | 0.878259 | 0.887248 | 0.825629 | 0.848297 | 0.579383 | 0.784056 | 0.772838 |
6 | 0.830826 | 0.856444 | 0.88833 | 0.892952 | 0.900686 | 0.865114 | 0.894946 | 0.876412 | 0.884765 | 0.896728 | 0.838575 | 0.853982 | 0.594662 | 0.786675 | 0.763081 |
7 | 0.84027 | 0.866488 | 0.89751 | 0.899774 | 0.908539 | 0.876978 | 0.903985 | 0.883453 | 0.892337 | 0.904407 | 0.844258 | 0.86167 | 0.594962 | 0.792164 | 0.763537 |
8 | 0.850747 | 0.878267 | 0.908001 | 0.90813 | 0.914582 | 0.888338 | 0.913212 | 0.891313 | 0.896349 | 0.912111 | 0.851988 | 0.864285 | 0.603265 | 0.793704 | 0.760118 |
9 | 0.861159 | 0.889164 | 0.916164 | 0.914597 | 0.919742 | 0.897931 | 0.919203 | 0.895792 | 0.899255 | 0.9161 | 0.854234 | 0.865659 | 0.603827 | 0.793586 | 0.762605 |
10 | 0.871049 | 0.898759 | 0.921146 | 0.915144 | 0.923609 | 0.905934 | 0.920971 | 0.892224 | 0.901008 | 0.91432 | 0.845666 | 0.866221 | 0.586736 | 0.791342 | 0.766531 |
11 | 0.880717 | 0.90692 | 0.923516 | 0.912706 | 0.922834 | 0.910356 | 0.919811 | 0.88496 | 0.897555 | 0.909208 | 0.834275 | 0.859824 | 0.571963 | 0.777509 | 0.765667 |
12 | 0.883623 | 0.908337 | 0.923448 | 0.90899 | 0.917638 | 0.909392 | 0.918006 | 0.878382 | 0.890145 | 0.905683 | 0.825581 | 0.850328 | 0.561207 | 0.758489 | 0.759393 |
13 | 0.887115 | 0.911178 | 0.923777 | 0.910014 | 0.91644 | 0.911606 | 0.916479 | 0.877504 | 0.886568 | 0.902122 | 0.823205 | 0.844241 | 0.559236 | 0.74336 | 0.750222 |
14 | 0.88972 | 0.913355 | 0.924412 | 0.909022 | 0.915292 | 0.913092 | 0.916506 | 0.875437 | 0.884097 | 0.900241 | 0.818677 | 0.839803 | 0.448937 | 0.733939 | 0.748515 |
15 | 0.889698 | 0.913585 | 0.924221 | 0.906837 | 0.912504 | 0.913916 | 0.916429 | 0.872789 | 0.880336 | 0.899463 | 0.813213 | 0.834378 | 0.457599 | 0.724558 | 0.74537 |
16 | 0.892077 | 0.91383 | 0.924413 | 0.90409 | 0.910977 | 0.913049 | 0.915391 | 0.868534 | 0.877853 | 0.89723 | 0.80724 | 0.830886 | 0.465771 | 0.71888 | 0.744778 |
17 | 0.896274 | 0.915953 | 0.924691 | 0.902552 | 0.910333 | 0.912993 | 0.914423 | 0.864985 | 0.876197 | 0.894605 | 0.802478 | 0.827776 | 0.471357 | 0.713975 | 0.742638 |
18 | 0.898303 | 0.916442 | 0.923809 | 0.898637 | 0.908175 | 0.911965 | 0.912466 | 0.85891 | 0.873067 | 0.891225 | 0.794332 | 0.823577 | 0.479619 | 0.708481 | 0.743686 |
19 | 0.898432 | 0.916314 | 0.922368 | 0.89399 | 0.904405 | 0.911747 | 0.910577 | 0.852619 | 0.868212 | 0.88755 | 0.785472 | 0.817702 | 0.489279 | 0.701848 | 0.74394 |
20 | 0.900546 | 0.916375 | 0.920629 | 0.889112 | 0.899712 | 0.910675 | 0.90746 | 0.845157 | 0.861698 | 0.883225 | 0.775558 | 0.809644 | 0.498278 | 0.689908 | 0.740747 |
21 | 0.89711 | 0.912994 | 0.916749 | 0.883404 | 0.894492 | 0.908116 | 0.903178 | 0.838212 | 0.856003 | 0.877807 | 0.76682 | 0.802595 | 0.505067 | 0.68022 | 0.735217 |
22 | 0.89152 | 0.907587 | 0.909839 | 0.875218 | 0.885747 | 0.903371 | 0.895742 | 0.828771 | 0.846451 | 0.868216 | 0.755727 | 0.791456 | 0.511948 | 0.666445 | 0.72561 |
23 | 0.885788 | 0.901971 | 0.903578 | 0.868971 | 0.879096 | 0.898341 | 0.88939 | 0.821895 | 0.839404 | 0.860082 | 0.748146 | 0.783191 | 0.514373 | 0.657365 | 0.717539 |
24 | 0.880524 | 0.896464 | 0.899075 | 0.864408 | 0.873177 | 0.893446 | 0.884887 | 0.816507 | 0.832777 | 0.855023 | 0.742476 | 0.775501 | 0.517603 | 0.646844 | 0.708912 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.
Figure 1b: AUROC Sample 1954 - 2018
AUROC of best spreads
Months | BestName | value | confidenceintervalhigh | confidenceintervallow |
---|---|---|---|---|
1 | FiveRFF | 0.875482 | 0.968836 | 0.782127 |
2 | TenRFF | 0.878339 | 0.936164 | 0.820515 |
3 | TenRFF | 0.881775 | 0.930002 | 0.833549 |
4 | TenRFF | 0.887529 | 0.929363 | 0.845694 |
5 | TenRFF | 0.89374 | 0.930395 | 0.857085 |
6 | TenRFF | 0.900686 | 0.933039 | 0.868333 |
7 | TenRFF | 0.908539 | 0.937383 | 0.879696 |
8 | TenRFF | 0.914582 | 0.941312 | 0.887852 |
9 | TenRFF | 0.919742 | 0.944655 | 0.89483 |
10 | TenRFF | 0.923609 | 0.946913 | 0.900304 |
11 | TenOne | 0.923516 | 0.944948 | 0.902083 |
12 | TenOne | 0.923448 | 0.944909 | 0.901987 |
13 | TenOne | 0.923777 | 0.945065 | 0.902488 |
14 | TenOne | 0.924412 | 0.945374 | 0.903451 |
15 | TenOne | 0.924221 | 0.945052 | 0.90339 |
16 | TenOne | 0.924413 | 0.945176 | 0.90365 |
17 | TenOne | 0.924691 | 0.945259 | 0.904124 |
18 | TenOne | 0.923809 | 0.944328 | 0.903291 |
19 | TenOne | 0.922368 | 0.943056 | 0.90168 |
20 | TenOne | 0.920629 | 0.941335 | 0.899923 |
21 | TenOne | 0.916749 | 0.937913 | 0.895585 |
22 | TenOne | 0.909839 | 0.932245 | 0.887433 |
23 | TenOne | 0.903578 | 0.926917 | 0.880239 |
24 | TenOne | 0.899075 | 0.92284 | 0.875309 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.
Figure 2a: AUROC Sample 1984 - 2018
AUROC of all spreads
Months | TenFive | TenThree | TenOne | TenThreeMon | TenRFF | FiveThree | FiveOne | FiveThreeMon | FiveRFF | ThreeOne | ThreeThreeMon | ThreeRFF | OneThreeMon | OneRFF | ThreeMonRFF | TenTwo | FiveTwo | ThreeTwo | TwoThreeMon | TwoRFF |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.584642 | 0.600785 | 0.729494 | 0.807592 | 0.874346 | 0.623037 | 0.794503 | 0.851658 | 0.910995 | 0.831152 | 0.862565 | 0.931065 | 0.748255 | 0.944154 | 0.891361 | 0.652269 | 0.686736 | 0.771379 | 0.84555 | 0.938918 |
2 | 0.636243 | 0.645944 | 0.765212 | 0.828924 | 0.88448 | 0.65366 | 0.815476 | 0.8653 | 0.916667 | 0.847222 | 0.867063 | 0.93254 | 0.742945 | 0.94224 | 0.880291 | 0.689153 | 0.715829 | 0.799824 | 0.843915 | 0.938051 |
3 | 0.664884 | 0.675728 | 0.785948 | 0.842097 | 0.889335 | 0.685532 | 0.827837 | 0.861111 | 0.909239 | 0.849228 | 0.852496 | 0.912805 | 0.716726 | 0.901812 | 0.867796 | 0.714052 | 0.742424 | 0.817142 | 0.822935 | 0.904932 |
4 | 0.703153 | 0.718356 | 0.814302 | 0.854054 | 0.896734 | 0.735135 | 0.848086 | 0.861824 | 0.912275 | 0.855968 | 0.841554 | 0.904955 | 0.697185 | 0.881306 | 0.864865 | 0.751351 | 0.779505 | 0.832545 | 0.80991 | 0.889977 |
5 | 0.737978 | 0.755373 | 0.839071 | 0.869945 | 0.902459 | 0.773224 | 0.866485 | 0.874044 | 0.915118 | 0.86776 | 0.848634 | 0.902641 | 0.695264 | 0.872587 | 0.841348 | 0.783515 | 0.809927 | 0.852732 | 0.813934 | 0.882787 |
6 | 0.766651 | 0.781998 | 0.855893 | 0.883824 | 0.907996 | 0.795657 | 0.878223 | 0.885589 | 0.91705 | 0.875767 | 0.857888 | 0.90531 | 0.709101 | 0.878837 | 0.824355 | 0.807397 | 0.828346 | 0.866022 | 0.821746 | 0.887354 |
7 | 0.790104 | 0.8054 | 0.86825 | 0.892924 | 0.914937 | 0.817372 | 0.886605 | 0.893589 | 0.920857 | 0.881418 | 0.861798 | 0.90955 | 0.703312 | 0.887271 | 0.824754 | 0.826616 | 0.84464 | 0.873105 | 0.822825 | 0.893323 |
8 | 0.808675 | 0.82686 | 0.88371 | 0.907309 | 0.925789 | 0.838748 | 0.900012 | 0.907486 | 0.928849 | 0.892361 | 0.878178 | 0.918197 | 0.725341 | 0.897481 | 0.82274 | 0.846751 | 0.863818 | 0.889301 | 0.84169 | 0.902895 |
9 | 0.823016 | 0.842593 | 0.895185 | 0.919418 | 0.935026 | 0.853757 | 0.908571 | 0.918413 | 0.936561 | 0.898889 | 0.889365 | 0.926296 | 0.750053 | 0.907354 | 0.823175 | 0.86164 | 0.877672 | 0.901693 | 0.85254 | 0.911852 |
10 | 0.838728 | 0.858863 | 0.907322 | 0.927987 | 0.944605 | 0.870713 | 0.916763 | 0.923314 | 0.944557 | 0.903805 | 0.887813 | 0.93343 | 0.739595 | 0.916474 | 0.828516 | 0.875482 | 0.890944 | 0.909489 | 0.846821 | 0.919653 |
11 | 0.856061 | 0.875244 | 0.916534 | 0.932483 | 0.949406 | 0.885965 | 0.921363 | 0.92247 | 0.946172 | 0.902844 | 0.880383 | 0.930755 | 0.72364 | 0.911217 | 0.826201 | 0.890395 | 0.904173 | 0.919989 | 0.831606 | 0.911616 |
12 | 0.871631 | 0.889587 | 0.927063 | 0.9405 | 0.955293 | 0.899162 | 0.928994 | 0.92809 | 0.949129 | 0.909147 | 0.882602 | 0.931583 | 0.718771 | 0.904134 | 0.822608 | 0.903517 | 0.915475 | 0.929035 | 0.831443 | 0.909393 |
13 | 0.87905 | 0.897705 | 0.934477 | 0.947183 | 0.959504 | 0.907761 | 0.934362 | 0.931982 | 0.950637 | 0.913289 | 0.886112 | 0.92941 | 0.721826 | 0.893405 | 0.818824 | 0.911523 | 0.92277 | 0.935398 | 0.833679 | 0.903808 |
14 | 0.891883 | 0.90956 | 0.941558 | 0.951299 | 0.961941 | 0.916306 | 0.938745 | 0.932359 | 0.948954 | 0.915801 | 0.883153 | 0.924098 | 0.715115 | 0.881494 | 0.814394 | 0.922258 | 0.930195 | 0.941342 | 0.828355 | 0.89596 |
15 | 0.899625 | 0.915883 | 0.94574 | 0.9515 | 0.961861 | 0.921302 | 0.942229 | 0.929686 | 0.946149 | 0.918234 | 0.875801 | 0.917553 | 0.698125 | 0.869393 | 0.810395 | 0.928289 | 0.935037 | 0.946046 | 0.817485 | 0.887526 |
16 | 0.906476 | 0.92249 | 0.950828 | 0.952996 | 0.962765 | 0.927374 | 0.946526 | 0.928798 | 0.944391 | 0.921746 | 0.87115 | 0.913917 | 0.679962 | 0.859569 | 0.807033 | 0.934621 | 0.940897 | 0.95141 | 0.808521 | 0.882214 |
17 | 0.914046 | 0.929307 | 0.955636 | 0.955297 | 0.964453 | 0.933685 | 0.950271 | 0.928968 | 0.94577 | 0.924312 | 0.868572 | 0.914354 | 0.668023 | 0.856949 | 0.806635 | 0.941053 | 0.946387 | 0.956067 | 0.801794 | 0.881212 |
18 | 0.920766 | 0.935185 | 0.958628 | 0.955502 | 0.964084 | 0.938399 | 0.951551 | 0.92625 | 0.943471 | 0.924127 | 0.861848 | 0.910769 | 0.652129 | 0.848815 | 0.804789 | 0.946361 | 0.950136 | 0.959218 | 0.791431 | 0.875885 |
19 | 0.926033 | 0.940747 | 0.961092 | 0.954754 | 0.963752 | 0.943407 | 0.952999 | 0.923231 | 0.942501 | 0.923571 | 0.853311 | 0.908602 | 0.633503 | 0.840407 | 0.804924 | 0.950538 | 0.953226 | 0.959847 | 0.778891 | 0.872128 |
20 | 0.92854 | 0.943519 | 0.961983 | 0.953513 | 0.961111 | 0.945588 | 0.952968 | 0.919635 | 0.939134 | 0.922195 | 0.844826 | 0.90305 | 0.620752 | 0.824646 | 0.801988 | 0.952533 | 0.954902 | 0.96024 | 0.767429 | 0.863725 |
21 | 0.928387 | 0.943998 | 0.961316 | 0.952118 | 0.958215 | 0.946626 | 0.95175 | 0.916272 | 0.936482 | 0.9189 | 0.837906 | 0.898245 | 0.60985 | 0.814175 | 0.79959 | 0.953012 | 0.955508 | 0.960449 | 0.757542 | 0.856959 |
22 | 0.929403 | 0.944885 | 0.960164 | 0.950249 | 0.955715 | 0.947732 | 0.949868 | 0.91204 | 0.932708 | 0.914404 | 0.829418 | 0.892541 | 0.600086 | 0.802293 | 0.793472 | 0.953249 | 0.956045 | 0.959579 | 0.747585 | 0.849908 |
23 | 0.93042 | 0.945775 | 0.959381 | 0.948339 | 0.954131 | 0.949374 | 0.948832 | 0.90836 | 0.93074 | 0.911022 | 0.824066 | 0.888864 | 0.594375 | 0.795598 | 0.787366 | 0.95386 | 0.956941 | 0.958962 | 0.740437 | 0.844326 |
24 | 0.929861 | 0.945714 | 0.958573 | 0.945594 | 0.952227 | 0.949904 | 0.947773 | 0.90376 | 0.928544 | 0.908261 | 0.818295 | 0.885656 | 0.587404 | 0.787811 | 0.783333 | 0.953831 | 0.957735 | 0.9591 | 0.734124 | 0.839392 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.
Figure 2b: AUROC Sample 1984 - 2018
AUROC of best spreads
Months | BestName | value | confidenceintervalhigh | confidenceintervallow |
---|---|---|---|---|
1 | OneRFF | 0.944154 | 1 | 0.856445 |
2 | OneRFF | 0.94224 | 1 | 0.884347 |
3 | ThreeRFF | 0.912805 | 0.994579 | 0.83103 |
4 | FiveRFF | 0.912275 | 0.967776 | 0.856774 |
5 | FiveRFF | 0.915118 | 0.963191 | 0.867046 |
6 | FiveRFF | 0.91705 | 0.959095 | 0.875006 |
7 | FiveRFF | 0.920857 | 0.957544 | 0.884169 |
8 | FiveRFF | 0.928849 | 0.961582 | 0.896116 |
9 | FiveRFF | 0.936561 | 0.966174 | 0.906947 |
10 | TenRFF | 0.944605 | 0.96936 | 0.91985 |
11 | TenRFF | 0.949406 | 0.972434 | 0.926379 |
12 | TenRFF | 0.955293 | 0.976355 | 0.934231 |
13 | TenRFF | 0.959504 | 0.979258 | 0.93975 |
14 | TenRFF | 0.961941 | 0.981265 | 0.942616 |
15 | TenRFF | 0.961861 | 0.982492 | 0.94123 |
16 | TenRFF | 0.962765 | 0.98326 | 0.94227 |
17 | TenRFF | 0.964453 | 0.983931 | 0.944975 |
18 | TenRFF | 0.964084 | 0.983309 | 0.944858 |
19 | TenRFF | 0.963752 | 0.982349 | 0.945155 |
20 | TenOne | 0.961983 | 0.979261 | 0.944704 |
21 | TenOne | 0.961316 | 0.978621 | 0.944012 |
22 | TenOne | 0.960164 | 0.977698 | 0.94263 |
23 | TenOne | 0.959381 | 0.97705 | 0.941712 |
24 | ThreeTwo | 0.9591 | 0.976905 | 0.941295 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.
Figure 3a: AUROC Sample 1976 - 2010
AUROC of all spreads
Months | TenFive | TenThree | TenOne | TenThreeMon | TenRFF | FiveThree | FiveOne | FiveThreeMon | FiveRFF | ThreeOne | ThreeThreeMon | ThreeRFF | OneThreeMon | OneRFF | ThreeMonRFF | TenTwo | FiveTwo | ThreeTwo | TwoThreeMon | TwoRFF |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.646927 | 0.678492 | 0.773184 | 0.831006 | 0.873743 | 0.706425 | 0.811732 | 0.853631 | 0.898324 | 0.850838 | 0.87067 | 0.92067 | 0.757263 | 0.940223 | 0.88743 | 0.720397 | 0.740793 | 0.796034 | 0.865156 | 0.925212 |
2 | 0.689631 | 0.710795 | 0.797585 | 0.848011 | 0.884659 | 0.728693 | 0.827131 | 0.871449 | 0.906534 | 0.864347 | 0.892898 | 0.925284 | 0.822443 | 0.943182 | 0.881392 | 0.745821 | 0.760807 | 0.81585 | 0.892651 | 0.929539 |
3 | 0.7158 | 0.735838 | 0.81474 | 0.86079 | 0.890077 | 0.750578 | 0.840944 | 0.882852 | 0.90684 | 0.872929 | 0.900193 | 0.921291 | 0.797399 | 0.926301 | 0.872447 | 0.766178 | 0.782209 | 0.831769 | 0.8913 | 0.921701 |
4 | 0.746765 | 0.768088 | 0.834485 | 0.869118 | 0.89875 | 0.782868 | 0.855294 | 0.883824 | 0.911691 | 0.879485 | 0.894412 | 0.922059 | 0.747941 | 0.922059 | 0.873015 | 0.791119 | 0.80709 | 0.841642 | 0.881343 | 0.920896 |
5 | 0.773234 | 0.795389 | 0.852575 | 0.881437 | 0.904611 | 0.809042 | 0.868683 | 0.892216 | 0.91485 | 0.887425 | 0.900359 | 0.921856 | 0.744192 | 0.917066 | 0.852335 | 0.813313 | 0.828024 | 0.855684 | 0.88845 | 0.920061 |
6 | 0.79502 | 0.814075 | 0.866413 | 0.895224 | 0.91123 | 0.824085 | 0.879726 | 0.90437 | 0.919055 | 0.895732 | 0.911585 | 0.924492 | 0.766311 | 0.921291 | 0.838313 | 0.830805 | 0.841899 | 0.868008 | 0.901187 | 0.924149 |
7 | 0.811136 | 0.829858 | 0.877773 | 0.90488 | 0.919831 | 0.839308 | 0.888864 | 0.91291 | 0.925555 | 0.90173 | 0.918678 | 0.929547 | 0.781766 | 0.928749 | 0.841615 | 0.844795 | 0.85534 | 0.8758 | 0.909779 | 0.929518 |
8 | 0.825396 | 0.847271 | 0.892168 | 0.918315 | 0.931369 | 0.858228 | 0.902413 | 0.925633 | 0.935087 | 0.911907 | 0.930736 | 0.938212 | 0.800356 | 0.937342 | 0.842722 | 0.862178 | 0.873031 | 0.891921 | 0.921262 | 0.938344 |
9 | 0.838315 | 0.861792 | 0.903978 | 0.930717 | 0.941219 | 0.873692 | 0.912688 | 0.937348 | 0.943763 | 0.919283 | 0.940573 | 0.94595 | 0.80871 | 0.941864 | 0.839928 | 0.87643 | 0.887322 | 0.904444 | 0.93071 | 0.945209 |
10 | 0.853651 | 0.877039 | 0.915789 | 0.938914 | 0.950362 | 0.889737 | 0.921842 | 0.941283 | 0.951151 | 0.925855 | 0.941086 | 0.951316 | 0.791184 | 0.941184 | 0.840329 | 0.889398 | 0.900301 | 0.913278 | 0.928595 | 0.948829 |
11 | 0.870927 | 0.892007 | 0.923856 | 0.939536 | 0.950854 | 0.900122 | 0.925717 | 0.937401 | 0.947468 | 0.927029 | 0.932855 | 0.945058 | 0.767053 | 0.917968 | 0.831635 | 0.902327 | 0.910239 | 0.922712 | 0.91148 | 0.938163 |
12 | 0.877911 | 0.897803 | 0.927797 | 0.939897 | 0.949772 | 0.905537 | 0.92851 | 0.935388 | 0.944035 | 0.92891 | 0.92714 | 0.939583 | 0.75214 | 0.897745 | 0.821718 | 0.90784 | 0.915012 | 0.927584 | 0.902468 | 0.928397 |
13 | 0.884854 | 0.905787 | 0.935159 | 0.947027 | 0.955248 | 0.914063 | 0.934642 | 0.941039 | 0.947817 | 0.934097 | 0.931947 | 0.941556 | 0.750599 | 0.887331 | 0.81495 | 0.915642 | 0.922595 | 0.934453 | 0.905502 | 0.92833 |
14 | 0.896537 | 0.916771 | 0.942558 | 0.952128 | 0.959741 | 0.922664 | 0.940264 | 0.944957 | 0.950668 | 0.938647 | 0.932807 | 0.942272 | 0.743299 | 0.877086 | 0.809736 | 0.925701 | 0.930532 | 0.941628 | 0.902739 | 0.926524 |
15 | 0.903881 | 0.92311 | 0.947979 | 0.953971 | 0.961893 | 0.928625 | 0.945297 | 0.945623 | 0.952166 | 0.943266 | 0.931082 | 0.941787 | 0.72854 | 0.866401 | 0.806333 | 0.932292 | 0.936581 | 0.947942 | 0.896778 | 0.923688 |
16 | 0.909975 | 0.928333 | 0.953826 | 0.954504 | 0.963139 | 0.933267 | 0.950585 | 0.945216 | 0.952327 | 0.947731 | 0.929833 | 0.941322 | 0.715968 | 0.858649 | 0.803454 | 0.93867 | 0.943278 | 0.954563 | 0.892174 | 0.92194 |
17 | 0.918048 | 0.934434 | 0.959036 | 0.956507 | 0.964864 | 0.937851 | 0.954846 | 0.94588 | 0.953043 | 0.951287 | 0.929986 | 0.941596 | 0.71037 | 0.855407 | 0.799438 | 0.945229 | 0.949404 | 0.960615 | 0.890386 | 0.921279 |
18 | 0.92346 | 0.939136 | 0.961787 | 0.95438 | 0.963513 | 0.941885 | 0.956629 | 0.94218 | 0.950745 | 0.952131 | 0.92346 | 0.938227 | 0.698905 | 0.84776 | 0.797028 | 0.94981 | 0.953168 | 0.964193 | 0.880489 | 0.916759 |
19 | 0.927127 | 0.943732 | 0.963839 | 0.950824 | 0.961372 | 0.946705 | 0.957805 | 0.937522 | 0.947652 | 0.951572 | 0.914685 | 0.933514 | 0.684373 | 0.837231 | 0.796071 | 0.952951 | 0.955848 | 0.963865 | 0.868869 | 0.91091 |
20 | 0.928578 | 0.945781 | 0.964032 | 0.946957 | 0.957613 | 0.948049 | 0.957613 | 0.932836 | 0.943299 | 0.950381 | 0.906025 | 0.928492 | 0.673079 | 0.825531 | 0.793093 | 0.954077 | 0.956609 | 0.963135 | 0.857648 | 0.904313 |
21 | 0.927063 | 0.944896 | 0.962521 | 0.942979 | 0.953604 | 0.947833 | 0.956104 | 0.928042 | 0.939542 | 0.948438 | 0.898417 | 0.924083 | 0.664292 | 0.817146 | 0.791083 | 0.953401 | 0.95625 | 0.962564 | 0.847683 | 0.898724 |
22 | 0.926504 | 0.944431 | 0.959797 | 0.939248 | 0.949004 | 0.94752 | 0.953455 | 0.923801 | 0.934695 | 0.944919 | 0.890874 | 0.917744 | 0.656768 | 0.806911 | 0.784492 | 0.952303 | 0.955249 | 0.960145 | 0.838133 | 0.890477 |
23 | 0.926196 | 0.943976 | 0.957585 | 0.936189 | 0.945784 | 0.947473 | 0.951625 | 0.920673 | 0.931322 | 0.942546 | 0.885668 | 0.913601 | 0.653131 | 0.800004 | 0.777734 | 0.951294 | 0.954337 | 0.95811 | 0.831731 | 0.885163 |
24 | 0.924234 | 0.942694 | 0.956194 | 0.934057 | 0.942421 | 0.946584 | 0.950591 | 0.917756 | 0.928494 | 0.941352 | 0.881264 | 0.910384 | 0.648168 | 0.79262 | 0.77202 | 0.950048 | 0.953763 | 0.957916 | 0.825425 | 0.880464 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.
Figure 3b: AUROC Sample 1976 - 2010
AUROC of best spreads
Months | BestName | value | confidenceintervalhigh | confidenceintervallow |
---|---|---|---|---|
1 | OneRFF | 0.940223 | 1 | 0.869388 |
2 | OneRFF | 0.943182 | 0.992571 | 0.893793 |
3 | OneRFF | 0.926301 | 0.986716 | 0.865885 |
4 | ThreeRFF | 0.922059 | 0.975133 | 0.868984 |
5 | ThreeRFF | 0.921856 | 0.968435 | 0.875277 |
6 | ThreeRFF | 0.924492 | 0.965412 | 0.883572 |
7 | ThreeRFF | 0.929547 | 0.965344 | 0.893751 |
8 | TwoRFF | 0.938344 | 0.971515 | 0.905173 |
9 | ThreeRFF | 0.94595 | 0.973275 | 0.918625 |
10 | ThreeRFF | 0.951316 | 0.975715 | 0.926917 |
11 | TenRFF | 0.950854 | 0.972649 | 0.92906 |
12 | TenRFF | 0.949772 | 0.973371 | 0.926172 |
13 | TenRFF | 0.955248 | 0.977105 | 0.933391 |
14 | TenRFF | 0.959741 | 0.980275 | 0.939208 |
15 | TenRFF | 0.961893 | 0.98231 | 0.941477 |
16 | TenRFF | 0.963139 | 0.983066 | 0.943211 |
17 | TenRFF | 0.964864 | 0.983738 | 0.945991 |
18 | ThreeTwo | 0.964193 | 0.980599 | 0.947787 |
19 | ThreeTwo | 0.963865 | 0.980166 | 0.947565 |
20 | TenOne | 0.964032 | 0.980385 | 0.947679 |
21 | ThreeTwo | 0.962564 | 0.978999 | 0.946129 |
22 | ThreeTwo | 0.960145 | 0.977231 | 0.943059 |
23 | ThreeTwo | 0.95811 | 0.975723 | 0.940497 |
24 | ThreeTwo | 0.957916 | 0.975539 | 0.940293 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.
Figure 4a: AUROC Sample 1984 - 2018
AUROC of all spreads
Months | PrincipalComp | TenTwoEBP | SixQtrFwdThreeMon | Best |
---|---|---|---|---|
1 | 0.921466 | 0.897033 | 0.860384 | 0.944154 |
2 | 0.934303 | 0.899912 | 0.860229 | 0.94224 |
3 | 0.917706 | 0.887106 | 0.848485 | 0.912805 |
4 | 0.913288 | 0.892342 | 0.838739 | 0.912275 |
5 | 0.929508 | 0.905464 | 0.845355 | 0.915118 |
6 | 0.931093 | 0.914365 | 0.854359 | 0.91705 |
7 | 0.932296 | 0.912344 | 0.85967 | 0.920857 |
8 | 0.938559 | 0.911017 | 0.876412 | 0.928849 |
9 | 0.945608 | 0.915873 | 0.887302 | 0.936561 |
10 | 0.952408 | 0.92264 | 0.888343 | 0.944605 |
11 | 0.954723 | 0.927964 | 0.883484 | 0.949406 |
12 | 0.959895 | 0.934993 | 0.88741 | 0.955293 |
13 | 0.963688 | 0.941425 | 0.890603 | 0.959504 |
14 | 0.96645 | 0.948485 | 0.887951 | 0.961941 |
15 | 0.967348 | 0.952011 | 0.882004 | 0.961861 |
16 | 0.968038 | 0.956198 | 0.878041 | 0.962765 |
17 | 0.970588 | 0.961833 | 0.875139 | 0.964453 |
18 | 0.971456 | 0.966737 | 0.86866 | 0.964084 |
19 | 0.971647 | 0.970345 | 0.861573 | 0.963752 |
20 | 0.970806 | 0.970969 | 0.854793 | 0.961983 |
21 | 0.969305 | 0.969988 | 0.848471 | 0.961316 |
22 | 0.967663 | 0.969138 | 0.840807 | 0.960164 |
23 | 0.966479 | 0.969141 | 0.83496 | 0.959381 |
24 | 0.965182 | 0.967481 | 0.828688 | 0.9591 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.
Figure 4b: AUROC Sample 1984 - 2018
AUROC of best spreads
Months | BestName | value | confidenceintervalhigh | confidenceintervallow |
---|---|---|---|---|
1 | Best | 0.944154 | 1 | 0.856445 |
2 | Best | 0.94224 | 1 | 0.884347 |
3 | PrincipalComp | 0.917706 | 1 | 0.832781 |
4 | PrincipalComp | 0.913288 | 0.986152 | 0.840424 |
5 | PrincipalComp | 0.929508 | 0.972586 | 0.886431 |
6 | PrincipalComp | 0.931093 | 0.966048 | 0.896137 |
7 | PrincipalComp | 0.932296 | 0.962726 | 0.901866 |
8 | PrincipalComp | 0.938559 | 0.965637 | 0.911481 |
9 | PrincipalComp | 0.945608 | 0.96993 | 0.921287 |
10 | PrincipalComp | 0.952408 | 0.97436 | 0.930457 |
11 | PrincipalComp | 0.954723 | 0.976001 | 0.933444 |
12 | PrincipalComp | 0.959895 | 0.979299 | 0.94049 |
13 | PrincipalComp | 0.963688 | 0.981973 | 0.945403 |
14 | PrincipalComp | 0.96645 | 0.984081 | 0.948819 |
15 | PrincipalComp | 0.967348 | 0.985835 | 0.948862 |
16 | PrincipalComp | 0.968038 | 0.986031 | 0.950045 |
17 | PrincipalComp | 0.970588 | 0.98722 | 0.953956 |
18 | PrincipalComp | 0.971456 | 0.987642 | 0.955269 |
19 | PrincipalComp | 0.971647 | 0.987531 | 0.955763 |
20 | TenTwoEBP | 0.970969 | 0.987644 | 0.954295 |
21 | TenTwoEBP | 0.969988 | 0.986346 | 0.953631 |
22 | TenTwoEBP | 0.969138 | 0.98522 | 0.953055 |
23 | TenTwoEBP | 0.969141 | 0.984866 | 0.953417 |
24 | TenTwoEBP | 0.967481 | 0.983642 | 0.951319 |
Legend entries ordered vertically by AUROC at horizon of 24 months.
Dashed lines indicate 95 percent confidence interval.
Source: Author's calculation.