Worked example · EX:pensions-and-other-postretirement-benefits/cedar-trail-pbo-assets-and-funded-status

Reconcile Cedar Trail's PBO, plan assets, and funded status

Keep the obligation, trust assets, sponsor contribution, benefit payments, and recognized funded status liability on separate rails before joining them.

Updated Aug 8, 2026 Review due Nov 8, 2026
On this page
  1. Problem
  2. Establish the route before calculating
  3. Roll the PBO forward
  4. Roll plan assets forward independently
  5. Join only at funded status
  6. Reconcile the seven-ledger join
  7. Interpret without overclaiming
Worked-example setupScope and assumptions
  • Cedar Trail, the plan, the actuarial measures, the trustee records, and all dates and amounts are fictional and supplied for instruction.
  • The plan is a single-employer defined benefit pension plan; the employer and the benefit trust remain distinct reporting entities.
  • The signed actuarial report supports opening PBO, service cost, interest cost, prior-service cost, actuarial loss, benefits, and ending PBO.
  • Trustee evidence supports opening and ending fair value, the employer contribution, benefits, and the stated actual return; there are no participant contributions, fees, acquisitions, or settlement transfers.
  • The calculation recomputes supplied measurements and does not value participant benefits, select assumptions, assess legal funding, or determine plan or sponsor solvency.
Period
Year ended December 31, 20X6
Units
US dollars and one annual measurement period
Rounding
Retain full precision; display dollars with commas and no decimals

Problem

Cedar Trail's draft says pension expense is $1.20 million because that is the cash contribution. It reports the $20 million PBO as the employer liability, places $16.15 million of trust assets among corporate investments, and records the $1.10 million paid to retirees as current compensation. Rebuild the close without letting four different ledgers collapse into one number.

Establish the route before calculating

The plan is a single-employer defined benefit pension plan. The employer accounts for its obligation, plan assets, periodic cost, OCI/AOCI, cash contribution, and funded status under the supplied Topic 715 facts. The benefit trust is a distinct reporting entity; its assets are restricted for benefits, not available as Cedar Trail operating cash.

VBO, ABO, and PBO answer different measurement questions. This example uses PBO because the funded-status measure is built from the actuarial present value of pension benefits attributed to service to date with projected compensation where the formula requires it. No arithmetic in this file converts one obligation measure into another.

Roll the PBO forward

PBO movement Effect Running PBO
Opening supported PBO — $18,000,000
Current service cost +$1,200,000 19,200,000
Interest cost +900,000 20,100,000
July amendment: prior-service cost +600,000 20,700,000
Actuarial loss +400,000 21,100,000
Benefits paid by the plan −1,100,000 $20,000,000

Service and interest are movements in the obligation, not cash contributions. Benefits reduce the obligation because the plan has discharged those benefits. The amendment and actuarial loss enter the PBO here even though their income statement recognition follows a different rail.

Roll plan assets forward independently

Plan-asset movement Effect Running fair value
Opening fair value — $15,000,000
Actual return +$1,050,000 16,050,000
Employer contribution +1,200,000 17,250,000
Benefits paid by the plan −1,100,000 $16,150,000

The trustee's reported increase of $1.15 million is not actual return. Solve for return only after controlling cash flows:

$16,150,000 ending assets
− 15,000,000 opening assets
−  1,200,000 employer contribution
+  1,100,000 benefits paid
= $1,050,000 actual return

Expected return is $900,000. It belongs in periodic cost. The $150,000 excess of actual over expected return belongs in the gain-and-loss/OCI bridge. A market-related value used under the supplied accounting policy would not replace ending fair value in funded status.

Join only at funded status

Ending fair value of plan assets          $16,150,000
Less: ending PBO                          (20,000,000)
Ending underfunded status                 $(3,850,000)

Opening funded status was $15 million minus $18 million, or $(3.00) million. The underfunded position therefore deepened by $850,000, producing an $850,000 increase in the recognized net pension liability under the supplied facts. The $3.85 million liability is neither the gross PBO nor PBO plus AOCI.

Reconcile the seven-ledger join

Net periodic pension cost is $1.40 million, current pretax OCI is a $650,000 loss, and the cash contribution is $1.20 million. Together they explain the liability change without a plug:

Pension cost recognized                    $1,400,000
+ current OCI loss                            650,000
− employer cash contribution                1,200,000
= increase in pension liability              $850,000

Benefits do not appear in that employer entry because the same $1.10 million reduces both PBO and plan assets. Their net funded-status effect is zero.

Interpret without overclaiming

A lower discount-rate scenario produces a supplied $21.20 million obligation; a higher-rate scenario produces $19.00 million. Relative to the $20.00 million base, those are conditional changes of +$1.20 million and −$1.00 million. They are not probability bounds, forecasts, or independently calculated actuarial values. Likewise, underfunded accounting status does not by itself establish legal funding noncompliance, illiquidity, benefit insecurity, or sponsor insolvency.

Reproduce · vary · inspect

Quantitative companions

Choose from 2 ways to work with this calculation.

Verified calculation · pension accounting analysis

The curriculum loader recomputed this example before it entered the site build. Expand any structured input to inspect the stated facts.

actual return
1,050,000
assets acquired
0
benefit type
pension
benefits paid
1,100,000
corridor amortization period
10
corridor greater opening base
18,000,000
corridor opening net loss
2,600,000
corridor rate
0.1
employer contributions
1,200,000
expected return
900,000
interest cost
900,000
net loss amortization
80,000
obligation actuarial gain
0
obligation actuarial loss
400,000
obligation sensitivity
2 fields
Inspect data
{
  "higher_discount_rate": 19000000,
  "lower_discount_rate": 21200000
}
obligations assumed
0
obligations settled
0
opening aoci loss
2,000,000
opening obligation
18,000,000
opening plan assets
15,000,000
participant contributions
0
plan expenses paid
0
prior service amortization
120,000
prior service cost
600,000
reported current oci loss
650,000
reported ending aoci loss
2,650,000
reported ending funded status
-3,850,000
reported ending obligation
20,000,000
reported ending plan assets
16,150,000
reported net periodic benefit cost
1,400,000
service cost
1,200,000
settlement assets transferred
0
special event cost
0
transition amortization
0

Recomputed result

Values recomputed by the curriculum loader
MeasureValue
actual minus expected return150,000
corridor amortization80,000
corridor excess800,000
corridor threshold1,800,000
current oci loss650,000
ending aoci loss2,650,000
ending funded status-3,850,000
ending obligation20,000,000
ending plan assets16,150,000
entry balance difference0
funded status change-850,000
net periodic benefit cost1,400,000
opening funded status-3,000,000
other net periodic benefit cost components200,000
recognized liability increase850,000
sensitivity higher discount rate change-1,000,000
sensitivity higher discount rate obligation19,000,000
sensitivity lower discount rate change1,200,000
sensitivity lower discount rate obligation21,200,000
service cost presentation component1,200,000