Plan Parameters
Key Formulas
Funded Status
Required contribution is a single-year target calculation, separate from the multi-year projection below.
Funded Ratio Trajectory
Year-by-Year Projection
| Year | Plan Assets | PBO | Surplus / Deficit | Funded Ratio |
|---|
Year 1 Breakdown
Model Assumptions
- Funded ratio shown is an accounting measure (Assets / PBO), not an ERISA regulatory funding percentage (AFTAP)
- Returns are constant (expected ROA achieved every year)
- Service cost, benefit payments, and contributions are constant annually
- No actuarial gains/losses, plan amendments, or curtailments
- PBO growth uses the discount rate as the interest cost rate
- Interest cost accrues on beginning-of-year PBO; contributions and benefits at year-end
- Does not model ERISA funding rules, PBGC premiums, or plan-specific regulatory requirements
For educational purposes. Not financial advice. Market conventions simplified.
Understanding Pension Funded Status
What is Pension Funded Status?
Pension funded status measures whether a defined benefit (DB) pension plan has sufficient assets to meet its projected benefit obligations. It is calculated as the difference between plan assets at market value and the projected benefit obligation (PBO). The funded ratio expresses this as a percentage: Assets / PBO.
Funded Ratio = Plan Assets / PBO × 100%
Fully funded = 100% or above
How Plan Assets and PBO Evolve
Plan Assets
Grow by: Investment returns (Expected ROA), Employer contributions
Decrease by: Benefit payments to retirees
PBO (Liabilities)
Grow by: Service cost (new benefits earned), Interest cost (time value)
Decrease by: Benefit payments to retirees
The Discount Rate vs. Expected ROA
The discount rate (used to value PBO) is based on AA corporate bond yields. The expected ROA is the plan's anticipated investment return. When ROA exceeds the discount rate, assets tend to grow faster than liabilities, improving funded status over time. When ROA is below the discount rate, the ROA/discount-rate spread creates a headwind for funded status, though contributions and cash flow dynamics also matter.
Required Contributions
The required total contribution is the amount needed in Year 1 to reach the target funded ratio by the end of that year. It accounts for expected asset growth (ROA), projected PBO growth (service cost + interest cost), and benefit payments. The formula is:
Additional = max(Required - Planned Contributions, 0)
Frequently Asked Questions
Disclaimer
This calculator is for educational purposes only and uses simplified actuarial assumptions. Actual pension management requires professional actuarial valuations, considers regulatory requirements (ERISA, PBGC), and models stochastic investment returns. This tool should not be used for actual pension funding decisions.
Course by Ryan O'Connell, CFA, FRM
Portfolio Analytics & Risk Management Course
Master portfolio theory and risk management from fundamentals to advanced analytics. Covers modern portfolio theory, risk metrics, performance evaluation, and factor models.
- Pension fund analysis and liability-driven investing
- Modern Portfolio Theory and efficient frontier construction
- Risk metrics: VaR, CVaR, drawdown analysis
- Hands-on exercises with real portfolio data