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Defined Benefit Pension Plans
12 Months Ended
Dec. 31, 2020
Retirement Benefits [Abstract]  
Defined Benefit Pension Plans We sponsor both funded and unfunded defined benefit pension plans offering death and disability, retirement, and special termination benefits for certain of our international employees, primarily in Germany, France, Indonesia, India, and Italy. The defined benefit obligation is calculated annually by using the projected unit credit method. The measurement date for the pension plans was December 31, 2020.
The following tables set forth the components of the changes in benefit obligations and fair value of plan assets:
 Year Ended December 31,
In thousands20202019
Change in benefit obligation:
Benefit obligation at January 1,$114,218 $105,570 
Service cost4,027 3,711 
Interest cost1,817 2,278 
Actuarial (gain) loss9,323 8,798 
Benefits paid(2,820)(2,970)
Foreign currency exchange rate changes9,594 (1,984)
Curtailment(589)(36)
Settlement(78)(234)
Other(2,760)(915)
Benefit obligation at December 31,$132,732 $114,218 
Change in plan assets:
Fair value of plan assets at January 1,$12,665 $11,890 
Actual return on plan assets389 1,134 
Company contributions349 289 
Benefits paid(298)(411)
Foreign currency exchange rate changes(177)(237)
Release for Divestiture(2,722)— 
Fair value of plan assets at December 31,10,206 12,665 
Net pension benefit obligation at fair value$122,526 $101,553 

Amounts recognized on the Consolidated Balance Sheets consist of:
December 31,
In thousands20202019
Assets
Plan assets in other long-term assets$— $44 
Liabilities
Current portion of pension benefit obligation in wages and benefits payable3,069 2,885 
Long-term portion of pension benefit obligation119,457 98,712 
Pension benefit obligation, net$122,526 $101,553 

Amounts recognized in OCI (pre-tax) are as follows:
Year Ended December 31,
In thousands202020192018
Net actuarial (gain) loss$8,734 $8,762 $(3,191)
Settlement (gain) loss(286)(250)(1)
Curtailment (gain) loss— — (1)
Plan asset (gain) loss64 (526)724 
Amortization of net actuarial loss(2,255)(1,648)(1,533)
Amortization of prior service cost(68)(68)(61)
Other— (160)124 
Other comprehensive (income) loss$6,189 $6,110 $(3,939)
If actuarial gains and losses exceed ten percent of the greater of plan assets or plan liabilities, we amortize them over the employees' average future service period. The estimated net actuarial loss and prior service cost that will be amortized from AOCI into net periodic benefit cost during 2021 is $2.9 million.

Net periodic pension benefit cost for our plans include the following components:
Year Ended December 31,
In thousands202020192018
Service cost$4,027 $3,711 $4,034 
Interest cost1,817 2,278 2,324 
Expected return on plan assets(453)(608)(670)
Amortization of prior service costs68 68 61 
Amortization of actuarial net loss2,255 1,648 1,533 
Settlement286 250 
Curtailment— — 
Net periodic benefit cost$8,000 $7,347 $7,284 

The components of net periodic benefit cost, other than the service cost component, are included in total other income (expense) on the Consolidated Statements of Operations.

The significant actuarial weighted average assumptions used in determining the benefit obligations and net periodic benefit cost for our benefit plans are as follows:
 Year Ended December 31,
 202020192018
Actuarial assumptions used to determine benefit obligations at end of period:
Discount rate1.10 %1.76 %2.24 %
Expected annual rate of compensation increase3.68 %3.76 %3.60 %
Actuarial assumptions used to determine net periodic benefit cost for the period:
Discount rate1.76 %2.24 %2.21 %
Expected rate of return on plan assets4.89 %5.19 %5.58 %
Expected annual rate of compensation increase3.76 %3.60 %3.64 %

We determine a discount rate for our plans based on the estimated duration of each plan's liabilities. For euro denominated defined benefit pension plans, which represent 92% of our projected benefit obligation, we use discount rates with consideration of the duration of each of the plans, using a hypothetical yield curve developed from euro-denominated AA-rated corporate bond issues. These bonds are assigned different weights to adjust their relative influence on the yield curve, and the highest and lowest yielding 10% of bonds are excluded within each maturity group. The discount rates used, depending on the duration of the plans, were between 0.20% and 0.75%.

Our expected rate of return on plan assets is derived from a study of actual historic returns achieved and anticipated future long-term performance of plan assets, specific to plan investment asset category. While the study primarily gives consideration to recent insurers' performance and historical returns, the assumption represents a long-term prospective return.

The total accumulated benefit obligation for our defined benefit pension plans was $121.7 million and $105.1 million at December 31, 2020 and 2019.

The total obligations and fair value of plan assets for plans with projected benefit obligations and accumulated benefit obligations exceeding the fair value of plan assets are as follows:
In thousandsDecember 31,
20202019
Projected benefit obligation$132,732 $110,656 
Accumulated benefit obligation121,747 101,611 
Fair value of plan assets10,206 9,059 
Our asset investment strategy focuses on maintaining a portfolio using primarily insurance funds, which are accounted for as investments and measured at fair value, in order to achieve our long-term investment objectives on a risk adjusted basis. Our general funding policy for these qualified pension plans is to contribute amounts sufficient to satisfy regulatory funding standards of the respective countries for each plan.

The fair values of our plan investments by asset category are as follows:
Total
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Unobservable Inputs
(Level 3)
In thousandsDecember 31, 2020
Cash$1,050 $1,050 $— 
Insurance funds9,156 — 9,156 
Other securities— — — 
Total fair value of plan assets$10,206 $1,050 $9,156 
In thousandsDecember 31, 2019
Cash$926 $926 $— 
Insurance funds8,133 — 8,133 
Other securities3,606 — 3,606 
Total fair value of plan assets$12,665 $926 $11,739 

The following tables present a reconciliation of Level 3 assets held during the years ended December 31, 2020 and 2019.
In thousandsBalance at January 1, 2020Net Realized and Unrealized GainsNet Purchases, Issuances, Settlements, and OtherRelease for DivestitureEffect of Foreign CurrencyBalance at December 31, 2020
Insurance funds$8,133 $237 $15 $— $771 $9,156 
Other securities3,606 117 (61)(2,722)(940)— 
Total$11,739 $354 $(46)$(2,722)$(169)$9,156 

In thousandsBalance at January 1, 2019Net Realized and Unrealized GainsNet Purchases, Issuances, Settlements, and OtherRelease for DivestitureEffect of Foreign CurrencyBalance at December 31, 2019
Insurance funds$8,020 $282 $(27)$— $(142)$8,133 
Other securities3,083 814 (160)— (131)3,606 
Total$11,103 $1,096 $(187)$— $(273)$11,739 

As the plan assets and contributions are not significant to our total company assets, no further disclosures are considered material.

Annual benefit payments for the next 10 years, including amounts to be paid from our assets for unfunded plans and reflecting expected future service, as appropriate, are expected to be paid as follows:
Year Ending December 31,Estimated Annual Benefit Payments
In thousands
2021$3,995 
20223,934 
20234,082 
20245,309 
20255,360 
2026-203028,493