SEDOL
From Wikipedia, the free encyclopedia
SEDOL stands for Stock Exchange Daily Official List, a list of security identifiers used in the United Kingdom and Ireland for clearing purposes. The numbers are assigned by the London Stock Exchange, on request by the security issuer. SEDOLs serve as the NSIN for all securities issued in the United Kingdom and are therefore part of the security's ISIN as well.
[edit] Description
SEDOLs are seven characters in length, consisting of two parts: a six-place alphanumeric code and a trailing check digit. SEDOLs issued prior to January 26, 2004 were composed only of numbers. For those older SEDOLs, those from Asia and Africa typically begin with 6, those from the UK and Ireland (until Ireland joined the EU) typically begin with 0 or 3 those from Europe typically began with 4, 5 or 7 and those from the Americas began with 2. After January 26, 2004, SEDOLs were changed to be alpha-numeric and are issued sequentially, beginning with B000009. At each character position numbers precede letters and vowels are never used. All new SEDOLs, therefore, begin with a letter. Ranges beginning with 9 are reserved for end user allocation.
The check digit for a SEDOL is chosen to make the total weighted sum of all seven characters a multiple of 10. The check digit is computed using a weighted sum of the first six characters. Letters have value 9 plus their alphabet position, such that B = 11 and Z = 35. While vowels are never used in SEDOLs, they are not ignored when computing this weighted sum (e.g. H = 17 and J = 19, even though I is not used), simplifying code to compute this sum. The resulting string of numbers is then multiplied by the weighting factor as follows:
First 1 Second 3 Third 1 Fourth 7 Fifth 3 Sixth 9 Seventh 1 (the check digit)
The character values are multiplied by the weights. The check digit is chosen to make the total sum, including the check digit, a multiple of 10, which can be calculated from the weighted sum of the first six characters as (10 - (this sum modulo 10) modulo 10.
For British and Irish securities, SEDOLs are converted to ISINs by padding the front with two zeros, then adding the country code on the front and the ISIN check digit at the end.
[edit] Example
BAE Systems: 0263494
The checksum can be calculated by multiplying the first six digits by their weightings:
(0×1, 2×3, 6×1, 3×7, 4×3, 9×9) = (0, 6, 6, 21, 12, 81)
Then summing up the results:
0 + 6 + 6 + 21 + 12 + 81 = 126
The check digit is then calculated by:
(10 - (126 modulo 10)) modulo 10 = (10 - 6) modulo 10 = 4
Perl Code:
my @weights = (1, 3, 1, 7, 3, 9); sub sedol_check_digit { my ($sedol) = @_; die "invalid SEDOL format: `$sedol'\n" if $sedol !~ /^[0-9A-Z]{6,7}$/; my @chars = split //, $sedol; my $sum = 0; for my $i ( 0 .. $#weights ) { my $char = $chars[$i]; my $value = $char =~ /\d/ ? $char : ord($char) - ord('A') + 10; $sum += $value * $weights[$i]; } return (10 - ($sum % 10)) % 10; }
VB Code:
Option Explicit Public Function getSedolCheckDigit(str As String) As Variant ' calculates the final digit of a six digit sedol code using the algo described on wikipedia If Len(str) <> 6 Then getSedolCheckDigit = "Six chars only please" Exit Function End If Dim mult(6) As Integer mult(1) = 1: mult(2) = 3: mult(3) = 1: mult(4) = 7: mult(5) = 3: mult(6) = 9 ' didn't use Array() to avoid Option Base problems Dim i, total As Integer Dim s As String total = 0 For i = 1 To 6 s = Mid(str, i, 1) total = total + IIf(IsNumeric(s), Val(s), Asc(s) - 55) * mult(i) Next getSedolCheckDigit = (10 - (total Mod 10)) Mod 10 End Function
Delphi Code:
function GetSedolCheckDigit(const BaseSedol: string): Integer; const Weights: array[1..6] of Integer = ( 1, 3, 1, 7, 3, 9 ); var i, d: Integer; begin if Length(BaseSedol) <> 6 then raise Exception.Create( 'SEDOLs without a check-digit must six characters long'); Result := 0; for i := 1 to 6 do begin case BaseSedol[i] of '0'..'9': d := Ord(BaseSedol[i]) - Ord('0'); 'A'..'Z': d := Ord(BaseSedol[i]) - Ord('A') + 10; else raise Exception.Create( 'SEDOLs must have only digits and uppercase letters'); end; Inc(Result, d * Weights[i]); end; Result := (10 - (Result mod 10)) mod 10; end; function IsSedolValid(const Sedol: string): Boolean; function HasOnlyValidChars: Boolean; const ValidChars = ['0'..'9', 'A'..'Z']; var ch: Char; begin for ch in Sedol do begin if not (ch in ValidChars) then begin Result := False; Exit; end; end; Result := True; end; begin Result := (Length(Sedol) = 7) and HasOnlyValidChars and (GetSedolCheckDigit(Copy(Sedol, 1, 6)) = Ord(Sedol[7]) - Ord('0')); end;
Python Code (non-validating, checksum only):
weights = (1, 3, 1, 7, 3, 9, 1) def char2val(char): """Alpha to ord + 9, ints to ints""" try: return string.atoi(char) except ValueError: return ord(char.upper()) - 64 + 9 def sedol_checkdigit(sedol_str): s = map(char2val, list(sedol_str)) s = zip(s, weights) s = [i[0]*i[1] for i in s] s = sum(s) return (10 - (s % 10)) % 10