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Defined Benefit Pension Plans
12 Months Ended
Dec. 31, 2019
Defined Benefit Plan [Abstract]  
Defined Benefit Pension Plans Defined Benefit Pension PlansWe 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, India, Indonesia, 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, 2019.
The following tables set forth the components of the changes in benefit obligations and fair value of plan assets:
 Year Ended December 31,
In thousands20192018
Change in benefit obligation:
Benefit obligation at January 1,$105,570  $110,820  
Service cost3,711  4,034  
Interest cost2,278  2,324  
Actuarial (gain) loss8,798  (2,497) 
Benefits paid(2,970) (3,018) 
Foreign currency exchange rate changes(1,984) (5,110) 
Curtailment(36) (694) 
Settlement(234) (413) 
Other(915) 124  
Benefit obligation at December 31,$114,218  $105,570  
Change in plan assets:
Fair value of plan assets at January 1,$11,890  $12,834  
Actual return on plan assets1,134  (54) 
Company contributions289  465  
Benefits paid(411) (392) 
Foreign currency exchange rate changes(237) (963) 
Fair value of plan assets at December 31,12,665  11,890  
Net pension benefit obligation at fair value$101,553  $93,680  

Amounts recognized on the Consolidated Balance Sheets consist of:
December 31,
In thousands20192018
Assets
Plan assets in other long-term assets$44  $572  
Liabilities
Current portion of pension benefit obligation in wages and benefits payable2,885  2,730  
Long-term portion of pension benefit obligation98,712  91,522  
Pension benefit obligation, net$101,553  $93,680  

Amounts recognized in OCI (pre-tax) are as follows:
Year Ended December 31,
In thousands201920182017
Net actuarial (gain) loss$8,762  $(3,191) $(3,209) 
Settlement (gain) loss(250) (1)  
Curtailment (gain) loss—  (1) 586  
Plan asset (gain) loss(526) 724  (192) 
Amortization of net actuarial loss(1,648) (1,533) (2,308) 
Amortization of prior service cost(68) (61) (62) 
Other(160) 124  —  
Other comprehensive (income) loss$6,110  $(3,939) $(5,183) 
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 2020 is $1.9 million.

Net periodic pension benefit cost for our plans include the following components:
Year Ended December 31,
In thousands201920182017
Service cost$3,711  $4,034  $3,968  
Interest cost2,278  2,324  2,264  
Expected return on plan assets(608) (670) (594) 
Amortization of prior service costs68  61  62  
Amortization of actuarial net loss1,648  1,533  2,308  
Settlement250   (2) 
Curtailment—   (586) 
Net periodic benefit cost$7,347  $7,284  $7,420  

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,
 201920182017
Actuarial assumptions used to determine benefit obligations at end of period:
Discount rate1.76 %2.24 %2.21 %
Expected annual rate of compensation increase3.76 %3.60 %3.64 %
Actuarial assumptions used to determine net periodic benefit cost for the period:
Discount rate2.24 %2.21 %2.18 %
Expected rate of return on plan assets5.19 %5.58 %5.58 %
Expected annual rate of compensation increase3.60 %3.64 %3.65 %

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 93% of our 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 0.25% and 2.00%.

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 $105.1 million and $97.3 million at December 31, 2019 and 2018, respectively.

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,
20192018
Projected benefit obligation$110,656  $103,059  
Accumulated benefit obligation101,611  94,831  
Fair value of plan assets9,059  8,807  
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, 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  
In thousandsDecember 31, 2018
Cash$787  $787  $—  
Insurance funds8,020  —  8,020  
Other securities3,083  —  3,083  
Total fair value of plan assets$11,890  $787  $11,103  

The following tables present a reconciliation of Level 3 assets held during the years ended December 31, 2019 and 2018.
In thousandsBalance at January 1, 2019Net Realized and Unrealized GainsNet Purchases, Issuances, Settlements, and OtherEffect 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  

In thousandsBalance at January 1, 2018Net Realized and Unrealized GainsNet Purchases, Issuances, Settlements, and OtherEffect of Foreign CurrencyBalance at December 31, 2018
Insurance funds$8,384  $(158) $141  $(347) $8,020  
Other securities3,661  123  (141) (560) 3,083  
Total$12,045  $(35) $—  $(907) $11,103  

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
2020$3,828  
20213,463  
20223,861  
20234,176  
20245,141  
2025-202927,701