Imaginary factors? That's ridiculous. FIFA World Rankings takes factors like success in past tournaments and recent matches into account. Recent matches have a higher value to reflect the current state of the team but past tournaments also play a role. Continents also have their coeffiicents depending on the overall success of the countries of that continent.
FIFA World Rankings takes no factors like success in past tournaments into account on a team basis. They take collective account of success at World Cups for the Confederation coefficient that is used, but other tournaments like Euro Cup are not calculated except for how their individual games went in the tournament. These games are weighted at a factor of 3x.
I'm afraid you're misinformed about the ratios used in official rankings. There's no basis on "how good a team is" in FIFA World Rankings. For example Italy has a higher coefficient than Switzerland despite being ranked lower because they were finalists in Euro 2012. If Italy and Switzerland played the same teams, scored the same amount of goals, conceded the same amount of goals and ended with the same result, Italy would receive a bigger boost to their points in the rankings.
No, you're misinformed here. Teams no longer have individual coefficients. They now use their most-recent FIFA rankings for this, by using the formula 200-current ranking. IE, in the current system, England would have a ranking-based coefficient of 180. The exception is the top team (Germany is assigned 200) and teams 150th and lower, which receive a bare minimum of 50 points. This is then divided by 100 to determine what it would be on a scale of 0.5-2. So England would have a team coefficient of 1.8, which does not look at all at Euro Cup results. If Italy and Switzerland played the same teams and the games ended with the same results (because goals are irrelevant to FIFA, and you should stop mentioning them), they would receive the exact same amount of points, assuming they were playing during the same FIFA Rankings period.
UEFA uses the same system for their rankings and they look at the past 5 seasons to set up the coefficients. For example, Barcelona's 2008-09 Champions League victory had an effect on Spain's coefficient this season but will no longer have that effect starting with the 2014-15 season.
UEFA and FIFA use wildly different methods for calculating national coefficients these days. They used to use a similar method, but UEFA uses goals now, and FIFA doesn't. They also hand out set amount of points, and FIFA doesn't. Your information is woefully out of date, and it's really negating your understanding of how FIFA works.
Here's the actual math for FIFA:
P = (M x I x T x C)x100
Points = Match won or drawn X match Importance X opposing Team value X opposing Confederation coefficient.
M= 3 for a win, 2 for an penalty kicks win, 1 for a tie or penalty kick loss, and 0 for a loss (meaning the end result is 0).
I= match importance as decided by FIFA. As decided by humans, and humans alone. 1 for a friendly, 2.5 for a World Cup or Confederation Cup qualifier, 3 for a Confederation final or Confederations Cup match, 4 for a World Cup Finals match. This number is not changing nor is it determined by anything other than FIFA assigning a weighting to the competition. It is the #1 spot humans weigh in directly.
T= opposing team value, as described above. For England, currently 1.8.
C= Confederation coefficient. This is based entirely on the Confederation results for the last 3 World Cups. The top conferences are assigned 1, and it decreases from there. Currently, both UEFA and CONMEBOL have a coefficient of 1.
The entire list is set up to run on values that humans assign and decide. It's very subjective. It doesn't change, because the methodology is consistent, but the methodology is very subjective. It's set up to emphasize certain tournaments over others, and to allow 12 years of results to influence one aspect where only 4 years of results are used for the points.
For reference, regardless of who beats England in a friendly today, they would get the following:
100x3x1x1.8x1=
540
All points in a year's period are then averaged out, and a percentage of that awarded to the final total.
http://www.fifa.com/worldranking/procedureandschedule/menprocedure/
