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Financial instruments | 12 Months Ended
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Dec. 31, 2022
Derivative Instruments and Hedging Activities Disclosure [Abstract] |
Financial Instruments | Financial instruments Foreign currency forward contracts We use derivative instruments for risk management purposes. Foreign currency forward contracts designated as cash flows hedges are used to manage foreign currency transaction exposure. Foreign currency forward contracts not designated as hedges for accounting purposes are used to manage exposure related to near term foreign currency denominated monetary assets and liabilities. We enter into the non-designated foreign currency forward contracts for periods consistent with the currency exposures, which generally approximate one month. For the years ended December 31, 2022 and 2021, we recognized losses related to non-designated foreign currency forward contracts of $3.0 million and $8.9 million, respectively. The total notional amount for all open foreign currency forward contracts designated as cash flow hedges as of December 31, 2022 and 2021 was $184.8 million and $149.5 million, respectively. The total notional amount for all open non-designated foreign currency forward contracts as of December 31, 2022 and 2021 was $152.9 million and $161.2 million, respectively. All open foreign currency forward contracts as of December 31, 2022 have durations of 12 months or less. Cross-currency interest rate swaps During 2019, we entered into cross-currency swap agreements with five different financial institution counterparties to hedge against the effect of variability in the U.S. dollar to euro exchange rate. Under the terms of the cross-currency swap agreements, we have notionally exchanged $250 million at an annual interest rate of 4.8750% for €219.2 million at an annual interest rate of 2.4595%. The swap agreements are designed as net investment hedges and expire on March 4, 2024. During 2018, we entered into cross-currency swap agreements with six different financial institution counterparties to hedge against the effect of variability in the U.S. dollar to euro exchange rate. Under the terms of the cross-currency swap agreements, we have notionally exchanged $500 million at an annual interest rate of 4.625% for €433.9 million at an annual interest rate of 1.942%. The swap agreements are designated as net investment hedges and expire on October 4, 2023. The swap agreements described above require an exchange of the notional amounts upon expiration or earlier termination of the agreements. We and the counterparties have agreed to effect the exchange through a net settlement. The cross-currency swaps are marked to market at each reporting date and any changes in fair value are recognized as a component of accumulated other comprehensive income (loss) ("AOCI") while the accrued interest is recognized in interest expense in the statement of operations. The following table summarizes the foreign exchange gains and losses recognized within AOCI and the interest benefit recognized within interest expense related to cross currency swap for the year ended December 31, 2022 and December 31, 2021:
| December 31, 2022 |  | December 31, 2021
Foreign exchange gains | $ | 22,399 |  |  | $ | 34,849 |
Interest benefit | 20,880 |  |  | 19,296 |
Balance sheet presentation The following table presents the locations in the consolidated balance sheets and fair value of derivative instruments as of December 31, 2022 and 2021:
| December 31, 2022 |  | December 31, 2021
Asset derivatives: |  |  |
Designated foreign currency forward contracts | $ | 3,154 |  |  | $ | 1,957 |
Non-designated foreign currency forward contracts | 41 |  |  | 56 |
Cross-currency interest rate swap | 48,503 |  |  | 21,718 |
Prepaid expenses and other current assets | 51,698 |  |  | 23,731 |
Cross-currency interest rate swap | 11,912 |  |  | 9,560 |
Other assets | 11,912 |  |  | 9,560 |
Total asset derivatives | $ | 63,610 |  |  | $ | 33,291 |
Liability derivatives: |  |  |
Designated foreign currency forward contracts | $ | 983 |  |  | $ | 993 |
Non-designated foreign currency forward contracts | 477 |  |  | 147 |
Other current liabilities | 1,460 |  |  | 1,140 |
Total liability derivatives | $ | 1,460 |  |  | $ | 1,140 |
See Note 13 for information on the location and amount of gains and losses attributable to derivatives that were reclassified from AOCI to expense (income), net of tax. For the years ended December 31, 2022, 2021 and 2020, there was no ineffectiveness related to our hedging derivatives.

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- Definition The entire disclosure for financial instruments. This disclosure includes, but is not limited to, fair value measurements of short and long term marketable securities, international currencies forward contracts, and auction rate securities. Financial instruments may include hedging and non-hedging currency exchange instruments, derivatives, securitizations and securities available for sale at fair value. Also included are investment results, realized and unrealized gains and losses as well as impairments and risk management disclosures. + References No definition available. + Details
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