Rating Method Sovereign Wikirating Index (SWI)
Last update: 2013-7-13 - Credit rating table
Criteria and Base-Data
The Sovereign Wikirating Index (SWI) uses the following five criteria (with weights):
- Public debt (in % of the GDP)
- Account balance (in % of the GDP)
- GDP growth rate
- Inflation rate
- Unemployment rate
The resulting value is calibrated by multiplying it with a scaling factor, which is composed by the Human Development Index (HDI) and the Corruption Perceptions Index. The third index Political Instability Index originally was used for the first version of the SWI. Each criterium is calibrated with respect to the relative minimum and maximum value of all countries. For some criterion a threshold value is defined in order to avoid distorted values.
|Short Title||Long Title||Value||Weight||Real Min||Real Max||SWI Min||SWI Max|
|HD||Human Development Index||Weighted index of development indicators||60%||0||1[scale 1]||0||1|
|CO||Perceptions Index||Index of perceived corruption||40%||0||10[scale 1]||0||1|
|PI||Political Instability Index||Index of political instability (not used any more)||0%||0||10[scale 1]||0||1|
|PD||Public Debt||Debt/GDP as %, reflects the economies ability to honour loans.||50%||0||∞||15||90|
|AB||Current Account Balance||Current account balance as % of GDP, reflects foreign inflows and outflows.||20%||-∞||∞||-20||20|
|PG||GDP Growth||Domestic growth an an annual %||10%||-1||∞||-0.1||0.1|
|IR||Consumer Price Index||CPI as %||10%||-1||∞||0.02||0.2|
|UR||Unemployment Rate||Rate of unemployment as %||10%||0||1||0.03||0.3|
|R||Rating||Result of SWI calculation as %||–||0||1||0||1|
- Raw Data of social scaling factors is divided by the Real Max value to normalize the input.
| Let c be an element in the set of countries C:
||That means that every c is a country.|
| Let R be the vector of ratings, so that
||That means that Rc is the rating for the country c and every rating is ranging from 0 to 100%.|
|Let be the dimension of v.||The function basically counts the number of elements in the vector. In example, is the total number of ratings and thus the number of rated countries.|
|Let the minimal, and the maximal value of v.||These functions find the smallest and the biggest number in a set of numbers, such as a vector. This is needed for normalization.|
|.||We are defining a scale-normalizating function on an vector .|
|Let .||x is a matrix. We define the base B of this matrix, so that it contains vectors with factors for individual countries in the direction , while the economic and social factors are in direction .|
|Let and||s is an indexer for the social factors and e is the indexer for economic factors.|
|, , , , , , ,||Applying the weights. The vector contains the (scalar) weights for the individual economic and social factors.|
|By using the Einstein notation, we weight and sum the social factors to get the scaling factor. We also weight and sum the economic factors. Then we multiply the two results.|
|We finally do some normalisation on the rating r, so that the resulting values are ranging from 0 to 100% and the values represent the performance relative to the other rated countries. The result of this formula is the SWI rating R. n is a vector that contains the number of given ratings for a specific country and thus the trust in the values.|
The calculations of the values are done with a spreadsheet:
- Download: SWI (Version 1, 2011) - Political Instability Index included
- List of countries by Scaling factor (2011)
General Variable Modifiers
For example, the variable AB.
- AB = Number used in calculations for SWI.
- rAB = Raw or real value, actual data from source in whichever format it is acquired.
- wAB = Weighting value for the data.
- minAB = Floor value of variable, will cause ABC to equal 0 or 100 if ABC is below this value.
- maxAB = Ceiling value of variable, will cause ABC to equal 0 or 100 if ABC is above this variable.
- nAB = Number of ratings (for rating)
So for instance, if the real value (rAB) was 4 on a 10 point scale, this would be divided by 10 to create the value for calculations (AB) which, in calculations, is multiplied by the weighting (e.g. 0.5 for 50% weight.)
- List of countries by credit rating (SWI)
- List of countries by credit rating - comparison with SWI method
- See Data_(countries)#Human_Development_Index_.28HDI.29
- See Data_(countries)#Corruption_Perceptions_Index_.28CPI.29
- See Data_(countries)#Political_Instability_Index_.28PII.29
- Unfortunately this index has not been updated since 2010 from "The Economist", therefore it has been removed as criteria from the SWI, and the ratings for 2011 are retroactively recalculated.