Diego Garcia

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Until December, Last Season's Form Prices the Market Better Than This Season's

Replaying a season as it stood on four dates, a fair value model fed only last season's form explains the current market better than one fed this season's, until somewhere between December and February. The market spends half a season pricing the previous one.

Oct 20264 min read

Libero's fair value model reads a season of form: shares of minutes and starts, league-adjusted per-90s, team points and goal difference. Five games in, those numbers are extreme (a full share of minutes is common, team goal difference is spread wide) and raw fair values for regulars come out 43% to 55% above market. The fix is to blend each form feature with the player's and team's previous season.

To choose the weight, 25-26 was rebuilt from only the matches played by 15 September, 13 October, 15 December and 15 February, and scored by a model trained on the data as it stood before the season began. Each variant is scored against the market value on that date.

Last season's form fits the market best until December

R² of predicted against market log value on each date, 5,032 to 6,358 players.

0.580.600.620.640.660.680.700.720.740.760.780.800.820.84SepOctDecFebDate (5, 8, 16 and 24 team games played)R² against market
This season's form onlyBlend, this season weighted games / (games + 10)Last season's form only
Figure 1: After five games last season's form alone scores 0.757 against 0.610 for this season's. It still leads in December (0.790 against 0.775) and falls behind by February (0.769 against 0.776). The blend is best from December on.

A Lagging Target

Read as accuracy, Figure 1 says to ignore early-season form entirely. Read as a description of the target, it says the market value on a date is itself mostly last season, with this season's form entering slowly enough that sixteen games are not yet enough to overtake it. A model scored against the market in autumn is rewarded for lagging.

The other reference is the model's own verdict on the complete season, measured as mean absolute log distance.

The variant that matches the market lands furthest from May

Mean absolute log distance between each date's fair value and the model's verdict on the full season. Lower is closer.

0.100.150.200.250.300.350.400.450.500.550.60SepOctDecFebDate (5, 8, 16 and 24 team games played)Distance to the May verdict
This season's form onlyBlend, this season weighted games / (games + 10)Last season's form only
Figure 2: From October on, last season's form is the furthest of the three from where the season ends (0.434, 0.401, 0.373). The blend is closest through December, where it ties this season's form (0.271 against 0.272); this season's form overtakes it by February.

The May verdict is built from this season's form, so the raw variant converges on it partly by construction and last-season-only cannot. The informative part is the early dates, where the blend is closest to May while staying near the best market fit: 0.418 from May against 0.462 for last season alone, at R² 0.737 against 0.757. Libero uses that weight, 44% on this season after eight games and 71% after 24.

What is still open

Whether the market's half-season lag is uniform. A league or an age band that is revalued faster would show the crossing in Figure 1 earlier, and a single blend weight would then be too slow for it and too fast for the rest.