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## UEFA Coefficients calculation method

by Bert Kassies

### UEFA Country Ranking

For the calculation of the country ranking, points in qualification
matches are halved: one point for a win and half a point for a draw.
Before 1999 the usual two points for a win and one point for a draw were
also used in qualifying rounds.
### UEFA Team Ranking

The UEFA team coefficients are calculated as the sum of the number of
points of each individual team, and 20% of the country coefficient.
From 2004-2008 the contribution of the country coefficient was 33%,
and before 2004 the contribution of the country coefficient was 50%.
See the team coefficients of
2012 for an example of such a calculation.

These qualification points are not cumulative. The 3rd and 4th
qualifying round of the Champions League are not rewarded with points
because losing teams qualify for the next stage in the Europa League.
The group stage of the Champions League is already rewarded with bonus
points (see above).
The two points for the group stage of the Europa League are a minimum
and will not be added to the points obtained during the group stage.
So, all participating teams get at least some qualification or bonus
points.
### Details of the calculation of the UEFA Coeffcients

Definition of terms.

#### 1. Country Coefficients and Country Ranking

#### 2. Team Coefficients and Team Ranking

from 2009:
from 2004 until 2008:
from 1999 until 2003:
until 1998:

### back to the
UEFA European Cup Football
pages

by Bert Kassies

For details of the calculation method see below.

The basis for the UEFA coefficients is the performance of teams in the European Cups during a five year period. During that period each team gets two points for a win and one point for a draw (see below for matches in qualifying rounds).

In addition one bonus point is allocated for reaching the quarter final, the semi final and the final. Qualification for the group-stage of the Champions League is awarded with 4 bonus points (from 2004-2009: 3 bonus points, from 1995-2004: 1 point, before 1995: 2 points). Qualification for the first knock-out round of the Champions League yields 5 bonus points (from 2004-2009: 1 bonus point, before 2004: no bonus).

The so-called UEFA coefficients are calculated by taking an average, based on the total number of points divided by the total number of teams of each country. See the country coefficients of 2012 for an example of such a calculation.

The UEFA country ranking is computed by the sum of 5 coefficients in the last 5 years. See the country ranking of 2012 for an example of such a ranking list. To determine the participants in the Champions League and the Europa League the last year ranking is used, because each country should know at the start of the season how many places it disposes.

For the team ranking the match results in qualifying rounds do not count. From 2009 on qualification for the Champions League and the Europa League is rewarded with a number of points based on the reached qualifying round:

Champions League | Europa League | |

Q1 | 0.50 | 0.25 |

Q2 | 1.00 | 0.50 |

Q3 | - | 1.00 |

Q4 | - | 1.50 |

group stage | - | 2.00 (minimum) |

The UEFA team ranking is computed by the sum of 5 coefficients in the last 5 years. See the team ranking of 2012 for an example of such a ranking list. In this list the yellow lines with country information indicate the lowest possible value for a club of that country (even if the club didn't play any game in the last five years). The most recent team ranking is used for seeding of clubs for draws in the Champions League and the Europa League.

**Before 1999** a number of strong teams in the UEFA Cup were seeded
such that those teams do not meet in the first two rounds.
To determine these teams,
the sum of the ratio of the number of points achieved, divided by
the number of games played by each team, was calculated for the past
five years.

cteams = number of teams per country, tpoints = number of points per team (team coefficient method), tmatches = number of matches per team, and cpoints = number of points per country (country coefficient method). ccoef = country coefficient per year, crank = country ranking over 5 years, tcoef = team coefficient per year, and trank = team ranking over 5 years.

ccoef = rounddown(cpoints/cteams, 3) crank = sum(ccoef);

tcoef = 0.20 * rounddown(cpoints/cteams, 3) + tpoints = ccoef / 5 + tpoints trank = rounddown(sum(tcoef) , 3)

tcoef = 0.5 * rounddown( 0.33 * (2*cpoints/cteams), 3) + tpoints trank = rounddown(sum(tcoef) , 3)

tcoef = 0.5 * rounddown( 0.50 * (2*cpoints/cteams), 3) + tpoints trank = rounddown(sum(tcoef) , 3)

tcoef = rounddown(tpoints/tmatches, 3) trank = sum(tcoef)

where

sum = sum over 5 years, and

rounddown(..., 3) = truncation to 3 significant digits after the decimal point.