Derivative instruments we are party to include: (i) interest rate swap agreements (which are designated as cash flow hedges) and (ii) cross-currency swap agreements (which are designated as net investment hedges).

As of September 30, 2020 and December 31, 2019, we had $350,000 in notional value of interest rate swap agreements outstanding, which limit our exposure to changes in interest rates on a portion of our floating rate indebtedness. These interest rate swap agreements expire in March 2022. Under the interest rate swap agreements, we receive variable rate interest payments associated with the notional amount of each interest rate swap, based upon one-month LIBOR, in exchange for the payment of fixed interest rates as specified in the interest rate swap agreements.

We have forward-starting interest rate swap agreements to limit our exposure to changes in interest rates on a portion of our floating rate indebtedness once our current interest rate swap agreements expire in March 2022. The forward-starting interest rate swap agreements have $350,000 in notional value, commence in March 2022 and expire in March 2024. Under the forward-starting interest rate swap agreements, we will receive variable rate interest payments based upon one-month LIBOR, in exchange for the payment of fixed interest rates as specified in the interest rate swap agreements.

We have designated these interest rate swap agreements, including the forward-starting interest rate swap agreements, as cash flow hedges. Unrealized gains are recognized as assets, while unrealized losses are recognized as liabilities. At September 30, 2020 and December 31, 2019, we had a derivative liability of $23,219 and $8,774, respectively, which was recorded as a component of Other long-term liabilities in our Condensed Consolidated Balance Sheets. We have recorded the change in fair value of the interest rate swap agreements as a component of Accumulated other comprehensive items, net in our Condensed Consolidated Balance Sheets.

Unrealized (gains) losses associated with the interest rate swap agreements for the three and nine months ended September 30, 2020 and 2019 are as follows:


	Three Months Ended September 30,				Nine Months Ended September 30,
	2020		2019		2020		2019
Unrealized (gains) losses associated with interest rate swap agreements	$	(1,185)	$	3,468	$	14,445	$	11,073

As of September 30, 2020, cumulative net losses of $23,219 are recorded within Accumulated other comprehensive items, net associated with these cash flow hedges.

We enter into cross-currency swap agreements to hedge the variability of exchange rate impacts between the United States dollar and the Euro. The cross-currency swap agreements are designated as a hedge of net investment against certain of our Euro denominated subsidiaries and require an exchange of the notional amounts at maturity. The cross-currency swaps are marked to market at each reporting period, representing the fair values of the cross-currency swap agreements, and any changes in fair value are recognized as a component of Accumulated other comprehensive items, net. Unrealized gains are recognized as assets while unrealized losses are recognized as liabilities.

In September 2020, we entered into cross-currency swap agreements whereby we notionally exchanged approximately $359,200 at an interest rate of 4.5% for approximately 300,000 Euros at a weighted average interest rate of approximately 3.4%. These cross-currency swap agreements expire in February 2026. At September 30, 2020, we had a derivative asset of $4,346, which was recorded as a component of Other within Other assets, net associated with these cross-currency swap agreements.

In August 2019, we entered into cross-currency swap agreements whereby we notionally exchanged approximately $110,000 at an interest rate of 6.0% for approximately 99,055 Euros at a weighted average interest rate of approximately 3.65%. These cross-currency swap agreements expire in August 2023. We had a derivative liability of $2,390 and $982 at September 30, 2020 and December 31, 2019, respectively, which was recorded as a component of Other long-term liabilities associated with these cross-currency swap agreements.

Unrealized losses (gains) associated with the cross-currency swap agreements for the three and nine months ended September 30, 2020 are as follows:


	Three Months Ended September 30,				Nine Months Ended September 30,
	2020		2019		2020		2019
Unrealized losses (gains) associated with cross-currency swap agreements	$	1,370	$	(1,972)	$	(2,938)	$	(1,972)

As of September 30, 2020, cumulative net gains of $1,956 are recorded within Accumulated other comprehensive items, net associated with these net investment hedges.

Prior to their redemption in August 2020, we designated a portion of our previously outstanding Euro Notes (as defined in Note 5) as a hedge of net investment of certain of our Euro denominated subsidiaries. From January 1, 2020 through the date of redemption and for the nine months ended September 30, 2019, we designated, on average, 300,000 and 279,821 Euros, respectively, of our Euro Notes as a hedge of net investment of certain of our Euro denominated subsidiaries. As a result, we recorded foreign exchange (gains) losses related to the change in fair value of such debt due to currency translation adjustments as a component of Accumulated other comprehensive items, net.

Foreign exchange losses (gains) associated with this hedge of net investment for the three and nine months ended September 30, 2020 and 2019 are as follows:


	Three Months Ended September 30,				Nine Months Ended September 30,
	2020		2019		2020		2019
Foreign exchange losses (gains) associated with net investment hedge	$	16,604	$	(13,101)	$	17,005	$	(14,962)

As of September 30, 2020, cumulative net gains of $3,256, net of tax, are recorded in Accumulated other comprehensive items, net associated with this net investment hedge.