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Derivative instruments and hedging activities: (Tables)
9 Months Ended
Sep. 30, 2018
Summary of Notional Amounts for Hedged Items, Designated as Hedge Accounting

The following table summarizes the notional amounts for hedged items, when transactions are designated as hedge accounting:    

 

     September 30,
2018
     December 31,
2017
 
     (U.S. $ in millions)  

Cross-currency swap—cash flow hedge

   $ 588      $ 588  

Cross-currency swap—net investment hedge

     1,000        1,000  

Interest rate swap—fair value hedge

     500        500  
Summary of Classification and Fair Values of Derivative Instruments

The following table summarizes the classification and fair values of derivative instruments:

 

     Fair value  
     Designated as hedging
instruments
    Not designated as hedging
instruments
 
     September 30,
2018
    December 31,
2017
    September 30,
2018
    December 31,
2017
 

Reported under

   (U.S. $ in millions)  

Asset derivatives:

        

Other current assets:

        

Option and forward contracts

   $ —       $ —       $ 23     $ 17  

Other non-current assets:

        

Cross-currency swaps—cash flow hedge

     42       25       —         —    

Liability derivatives:

        

Other current liabilities:

        

Option and forward contracts

     —         —         (14     (15

Other taxes and long-term liabilities:

        

Cross-currency swaps—net investment hedge

     (58     (96     —         —    

Senior notes and loans:

        

Interest rate swaps—fair value hedge

     (24     (2     —         —