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Taxation (Narrative) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2011
Dec. 31, 2010
Dec. 31, 2009
Income Taxes [Line Items]      
Valuation allowance $ 57 $ 31  
Net operating loss carry-forward 172    
Foreign tax credit carry-forward 42    
Operating loss carry-forward, expiration dates 2012-2031    
Unrecognized tax benefits for which the ultimate deductibility is highly certain but for which there is uncertainty about the timing of such deductibility 1 1  
Unrecognized tax benefits that would impact effective tax rate 133    
Tax-related interest and penalties reported 3 (1) 6
Value of liabilities reflected in the balance sheet for tax-related interest 22 19  
Impact of IRS settlement on unrecognized tax benefits, reduction   $ 21  
Period in months under which it is reasonably possible that there could be significant change in unrecognized tax benefit 12    
Switzerland [Member]
     
Income Taxes [Line Items]      
Taxation rates 7.83%    
Bermuda [Member]
     
Income Taxes [Line Items]      
Taxation rates 0.00%    
United States [Member]
     
Income Taxes [Line Items]      
Taxation rates 35.00%    
U.K. [Member]
     
Income Taxes [Line Items]      
Taxation rates 26.00%    
Foreign [Member]
     
Income Taxes [Line Items]      
Foreign tax credit carry-forward, expiration dates 2015-2019