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Derivative instruments and hedging activities: (Tables) | 9 Months Ended
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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 | ) |  |  | — |  |  |  | — |

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- Definition Tabular disclosure of the location and fair value amounts of derivative instruments (and nonderivative instruments that are designated and qualify as hedging instruments) reported in the statement of financial position. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4B -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL5624163-113959 + Details
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- Definition Tabular disclosure of pertinent information about a derivative or group of derivatives on a disaggregated basis, such as for individual instruments, or small groups of similar instruments. May include a combination of the type of instrument, risks being hedged, notional amount, hedge designation, related hedged item, inception date, maturity date, or other relevant item. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4B -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL5624163-113959 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 1B -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL5580258-113959 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=109980867&loc=d3e41620-113959 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 1A -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL5579245-113959 Reference 5: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=109980867&loc=d3e41638-113959 Reference 6: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 8 -URI http://asc.fasb.org/extlink&oid=109980867&loc=d3e41678-113959 Reference 7: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=109980867&loc=d3e41641-113959 Reference 8: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL5624171-113959 Reference 9: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08.(n)(2)) -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e23780-122690 Reference 10: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL5579240-113959 + Details
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