D.C. & Federal Pension Formulas
All federal defined benefit pensions use the same fundamental approach: multiply a salary average by years of service and a benefit factor. The specific formula depends on which system covers you, when you were hired, and whether you hold a special-category position.
- see also: D.C. & Federal Pension Systems Overview — background on all systems, bargaining units, TSP, and how formulas are set by statute
- see also: OPM — FERS Computation
- see also: FedWeek — Calculating a Federal Annuity
FERS Formulas
All FERS formulas use the same core equation:
High-3 Average Salary × Years of Creditable Service × Multiplier = Annual Pension
The three variables:
- High-3 Average Salary — the highest average basic pay earned during any 3 consecutive years of service (36-month moving average). Includes base pay + locality pay; excludes overtime, bonuses, and premium pay.
- Years of Creditable Service — total years and partial years of qualifying federal employment, including unused sick leave credit at retirement
- Multiplier — either 1.0% or 1.1%, depending on your age and service at retirement
Standard FERS Formula
| Condition | Multiplier |
|---|---|
| Retire before age 62, or with less than 20 years of service | 1.0% |
| Retire at age 62 or older with 20+ years of service | 1.1% |
- see also: OPM — FERS Computation
- see also: FedWeek — Calculating a Federal Annuity
FERS Special Provisions (Law Enforcement, Firefighters, Air Traffic Controllers)
These positions receive an enhanced formula and earlier retirement eligibility. Eligible employees can retire at age 50 with 20 years of covered service or any age with 25 years and face mandatory retirement at age 57 (with possible extension to 60 by agency head).
| Service | Multiplier |
|---|---|
| First 20 years of covered LEO/Firefighter/ATC service | 1.7% |
| Each year beyond 20 | 1.0% |
- see also: Capital Wealth — FERS Calculator (Special Provisions)
- see also: FedWeek — Special Category Retirement
FERS Congressional Formula
Members of Congress and certain congressional staff (first covered before 2013) receive an enhanced formula:
| Service | Multiplier |
|---|---|
| First 20 years of Congressional service | 1.7% |
| Each year beyond 20 | 1.0% |
Members and staff first covered by FERS in 2013 or later accrue benefits at the standard 1.0%/1.1% rate.
MRA+10 Early Retirement Reduction
If you retire at your MRA with at least 10 years (but fewer than 30) of service, your annuity is permanently reduced by 5% for each year you are under age 62. You can eliminate this penalty by deferring (postponing) the start of your annuity to age 62.
- see also: OPM — MRA+10 Annuity
Contribution Rates
Pensions are funded by employee contributions, agency/employer contributions, and investment returns. The employer side is invisible on your paycheck but represents an enormous portion of total compensation.
FERS Contributions (Employee + Agency)
Employee contribution rates (toward FERS Basic Annuity):
| Tier | Employee Rate | Agency Rate (Approximate) | Source |
|---|---|---|---|
| FERS (hired before 1/1/2013) | 0.8% | ~17.3% | Plan Your Federal Retirement — FERS Contributions |
| FERS-RAE (hired 2013) | 3.1% | ~15.0% | Federal Pension Advisors — Contribution Guide |
| FERS-FRAE (hired 2014+) | 4.4% | ~10.9% | Federal Pension Advisors — Contribution Guide |
| CSRS | 7.0% | 7.0% (matching) | OPM — CSRS Information |
| LEO/Firefighter/ATC (add to tier rate) | +0.5% | Higher (special provision normal cost) | OPM — FERS Normal Cost Percentages (Federal Register) |
Agency contribution rates are determined by OPM based on actuarial valuations and published as normal cost percentages in the Federal Register. Rates vary by employee category and are generally higher for special-provision employees.
In addition to the pension contribution, your agency also pays: 6.2% of your salary toward Social Security (OASDI), 1.45% toward Medicare, and up to 5% of salary in TSP matching — bringing total employer retirement contributions to roughly 25–30% of your salary for FERS employees.
- see also: Plan Your Federal Retirement — FERS Contributions
- see also: OPM — FY 2025 Congressional Budget Justification: Earned Benefits Trust Funds
- see also: CBO — Increase Federal Civilian Employees' Contributions to FERS
D.C. Local Contributions
| Plan | Employee Rate | Employer Rate | Source |
|---|---|---|---|
| D.C. Teachers (pre-11/1/1996) | 7% | Actuarially determined by DCRB | OCFO — DCRB Budget |
| D.C. Teachers (post-11/1/1996) | 8% | Actuarially determined by DCRB | Same |
| D.C. Police/Fire (Tier 1/2) | 7% | Actuarially determined by DCRB | DCRB — Police/Fire FAQs |
| D.C. Police/Fire (Tier 3, post-11/10/1996) | 8% | Actuarially determined by DCRB | Same |
| D.C. General Government (post-10/1/1987) | 0% (employer-funded) | 5% of salary (5.5% for corrections) | OCFO |
D.C. employer contribution rates are certified annually by DCRB based on actuarial calculations prescribed by D.C. Code §1-907.03. The D.C. government must budget at least the actuarially determined amount.
Foreign Service Contributions
| System | Employee Rate | Employer Rate | Source |
|---|---|---|---|
| FSRDS (pre-1984) | 7.25% | 7.25% (matching) | 3 FAM 6114.1 |
| FSPS (post-1983) | 1.35% | Actuarially determined (normal cost) | 3 FAM 6114.3 |
FERS Worked Example Calculations
Example 1: Standard FERS — GS-13 Engineer, Age 62, 30 Years
Maria is a GS-13, Step 10 civil engineer at the Army Corps of Engineers in Washington, D.C. She retires at age 62 with 30 years of creditable service. Her high-3 average salary is $138,000.
Formula: High-3 × Years × 1.1% (age 62+ with 20+ years)
$138,000 × 30 × 0.011 = $45,540 per year ($3,795/month)
That's about 33% of her final salary from the pension alone, before Social Security and TSP.
- see also: PlanWell — FERS Retirement Calculator
Example 2: Standard FERS — GS-12 Analyst, Age 57 (MRA), 30 Years
James is a GS-12 budget analyst who started at age 27. He retires at his MRA of 57 with 30 years of service. His high-3 is $112,000.
Formula: High-3 × Years × 1.0% (under 62)
$112,000 × 30 × 0.01 = $33,600 per year ($2,800/month)
No age reduction because he has 30 years at MRA. He also qualifies for the FERS Special Retirement Supplement (an estimated Social Security bridge payment) until age 62.
Example 3: FERS Special Provision — Federal Law Enforcement Officer, Age 50, 25 Years
Sergeant Davis is a federal law enforcement officer retiring at age 50 with 25 years of covered service. His high-3 is $125,000.
Formula: (High-3 × 20 years × 1.7%) + (High-3 × 5 years × 1.0%)
($125,000 × 20 × 0.017) + ($125,000 × 5 × 0.01) = $42,500 + $6,250 = $48,750 per year ($4,062.50/month)
That's about 39% of his final salary — significantly more than the standard formula for the same years of service.
Example 4: MRA+10 Early Retirement with Reduction
Karen is age 57 (her MRA) with only 15 years of service. She wants to retire now. Her high-3 is $95,000.
Formula: High-3 × Years × 1.0% minus 5% per year under 62
$95,000 × 15 × 0.01 = $14,250 per year (unreduced)
Age penalty: 5 years under 62 × 5% = 25% reduction
$14,250 × 0.75 = $10,687.50 per year ($890.63/month)
Karen could alternatively postpone her annuity to age 62 to eliminate the reduction entirely.
CSRS Formula (Closed System)
CSRS uses a weighted three-tier formula that rewards long careers. CSRS employees do not participate in Social Security (unless they also have sufficient private-sector earnings) and do not receive TSP agency matching contributions.
1.5% × High-3 × (first 5 years) + 1.75% × High-3 × (next 5 years) + 2.0% × High-3 × (years beyond 10)
| Service Band | Multiplier |
|---|---|
| First 5 years | 1.5% per year |
| Years 5–10 | 1.75% per year |
| Years beyond 10 | 2.0% per year |
Maximum benefit: 80% of high-3 (reached at approximately 41 years and 11 months of service).
CSRS employees who retire under age 55 have their annuities reduced by 1/6 of 1% for each month under 55 (2% per year) — though this is now rare since the system closed in 1984.
- see also: FedWeek — Computing a Federal Annuity – CSRS
- see also: OPM — CSRS Information
CSRS Worked Example
Robert, a CSRS employee, retires at age 58 with 30 years of service and a high-3 of $100,000.
(1.5% × 5 × $100,000) + (1.75% × 5 × $100,000) + (2.0% × 20 × $100,000)
= $7,500 + $8,750 + $40,000 = $56,250 per year (56.25% of high-3)
Foreign Service Formulas
The Foreign Service operates parallel retirement systems mirroring CSRS and FERS:
| System | Applies To | Basic Formula | Employee Contribution |
|---|---|---|---|
| FSRDS | FSOs hired before 1984 | 2.0% × high-3 × years of service | 7.25% |
| FSPS | FSOs hired after 12/31/1983 | 1.7% × high-3 × first 20 years + 1.0% × remaining years (age 50+ with 20 years) | 1.35% |
FSPS participants also receive Social Security and TSP agency matching — structurally similar to FERS but with an enhanced formula reflecting the demanding nature of foreign service careers.
COLA — Cost-of-Living Adjustments
CSRS and FERS retirees receive different COLA treatment:
| CPI-W Change | CSRS COLA | FERS COLA |
|---|---|---|
| 2% or less | Full CPI-W increase | Full CPI-W increase |
| Between 2% and 3% | Full CPI-W increase | Capped at 2.0% |
| Over 3% | Full CPI-W increase | CPI-W minus 1 percentage point |
FERS COLAs are sometimes called "diet COLAs" because they fall behind the full CPI adjustment when inflation exceeds 2%.
Additionally, FERS retirees under age 62 generally do not receive COLAs on their basic annuity — with exceptions for disability annuitants, survivor annuitants, and special-provision retirees (LEO, firefighter, ATC).
CSRS COLAs have no age restriction.
D.C. local pension COLAs work differently — see the D.C. formulas section below.
- see also: OPM — How is the COLA Determined?
- see also: CRS — The FERS "Diet COLA" and the Equal COLA Act
- see also: NARFE — Equal COLA Act
D.C. Local Pension Formulas
D.C. Teachers' Retirement Plan
The formula depends on when you were hired:
Hired before November 1, 1996:
(Average Salary × 1.5% × first 5 years) + (Average Salary × 1.75% × years 5–10) + (Average Salary × 2.0% × years beyond 10) = Annual Pension
Hired on or after November 1, 1996:
Average Salary × 2.0% × Years of Service = Annual Pension
| Feature | Pre-11/1/1996 Hires | Post-11/1/1996 Hires |
|---|---|---|
| Formula | Weighted (1.5%/1.75%/2.0%) | Flat 2.0% per year |
| Employee contribution | 7% of salary | 8% of salary |
| Average salary period | Highest 36 consecutive months | Highest 36 consecutive months |
| Vesting | 5 years | 5 years |
| COLA cap | No cap (full CPI) | 3.0% cap |
| Social Security | Not covered | Not covered |
Voluntary retirement eligibility (post-11/1/1996): age 55 with 30 years, age 60 with 20 years, age 62 with 5 years, or any age with 30 years.
- see also: DCRB — Teacher Retirement FAQs
- see also: D.C. Teachers' Retirement Plan SPD 2023 (PDF)
- see also: TeacherPensions.org — D.C. State Analysis
- see also: DCRB Retirement Benefits Calculator
D.C. Police Officers' and Firefighters' Retirement Plan
The Police/Fire plan uses a flat-rate formula and allows retirement at any age with 25 years of service — one of the most generous public safety retirement provisions in the country.
Average Base Pay × 2.5% × Years of Creditable Service = Annual Pension
| Feature | Detail |
|---|---|
| Formula | 2.5% × highest consecutive 3-year average base pay × years of service |
| Maximum benefit | 80% of average base pay |
| Minimum retirement | Any age with 25 years of police/fire service |
| Alternative | Age 50 with 20 years (with longevity adjustments depending on tier) |
| Employee contribution | 7% (Tier 1/2) or 8% (Tier 3, hired after 11/10/1996) |
| COLA | Full CPI for pre-11/10/1996 hires; capped at 3% for later hires |
| Social Security | Not covered |
Tiers: The Police/Fire plan has three tiers based on hire and retirement date — Tier 1 (retired before 2/15/1980, receives equalization pay), Tier 2 (retired on/after 2/15/1980), and Tier 3 (hired on/after 11/10/1996).
- see also: JoinMPD — Police Officer Benefits
- see also: DCRB — Police & Firefighter Retirement FAQs
- see also: DCRB — Glossary of Terms for Police & Firefighters
- see also: DCRB Retirement Benefits Calculator
D.C. Judges' Retirement Plan
D.C. Superior Court and Court of Appeals judges participate in a separate plan administered directly by the U.S. Treasury.
D.C. Worked Example Calculations
Example 5: D.C. Teacher — 30 Years, Post-1996 Hire
Ms. Thompson is a DCPS teacher hired in 2000. She retires at age 55 with 30 years of service. Her highest 36-month average salary is $116,000.
Formula: Average Salary × 2.0% × Years
$116,000 × 0.02 × 30 = $69,600 per year ($5,800/month)
That's 60% of her final average salary — and she's not covered by Social Security, so this pension (plus any voluntary savings) is her primary retirement income.
Example 6: D.C. Police Officer — 25 Years
Officer Smith joined MPD at age 21 and retires at age 46 with 25 years of service. His highest 36-month average base pay is $100,000.
Formula: Average Base Pay × 2.5% × Years
$100,000 × 0.025 × 25 = $62,500 per year ($5,208.33/month)
That's 62.5% of his average base pay — and he's only 46 years old. If he stays 5 more years (30 total), his pension rises to 75% of average pay. The maximum is 80% (at 32 years).
- see also: JoinMPD — Retirement Benefits
Example 7: D.C. Teacher — Pre-1996 Hire, Weighted Formula
Mr. Garcia was hired in 1990. He retires at age 60 with 32 years of service. His highest 36-month average salary is $105,000.
Formula (weighted):
- First 5 years: $105,000 × 1.5% × 5 = $7,875
- Years 5–10: $105,000 × 1.75% × 5 = $9,187.50
- Years beyond 10: $105,000 × 2.0% × 22 = $46,200
Total: $7,875 + $9,187.50 + $46,200 = $63,262.50 per year ($5,271.88/month)
Side-by-Side: Federal vs. D.C. Local Pension Comparison
| Feature | FERS (Standard) | D.C. Teachers | D.C. Police/Fire |
|---|---|---|---|
| Type | Defined benefit + SS + TSP | Defined benefit only | Defined benefit only |
| Formula | 1.0–1.1% × high-3 × years | 2.0% × avg salary × years | 2.5% × avg pay × years |
| Social Security | Yes | No | No |
| Max benefit | No statutory cap | No statutory cap | 80% of avg pay |
| Employee contribution | 0.8–4.4% (by tier) | 7–8% | 7–8% |
| Employer match (TSP) | Up to 5% | N/A | N/A |
| COLA | Diet COLA (capped) | Full CPI (or 3% cap for post-1996) | Full CPI (or 3% cap for post-1996) |
| Earliest unreduced retirement | MRA + 30 years | Any age + 30 years (post-1996) | Any age + 25 years |
| Vesting | 5 years | 5 years | 5 years |
Key Formula Terms
| Term | Definition |
|---|---|
| High-3 | The average of your highest 3 consecutive years of basic pay — the salary base for federal pension calculations |
| Multiplier | The percentage of salary earned per year of service (1.0%, 1.1%, 1.7%, 2.0%, or 2.5% depending on system and category) |
| Average Salary (D.C.) | The highest average actual rate of pay over any 36 consecutive months of service |
| Creditable Service | Total years and partial years of qualifying employment, including purchased service and unused sick leave |
| Diet COLA | The reduced COLA that FERS annuitants receive when inflation exceeds 2% |
| Special Retirement Supplement (SRS) | A bridge payment approximating Social Security for FERS retirees who retire before 62 with full career (MRA+30 or age 60+20) |
| Equalization Pay | Annual pay adjustment for D.C. Police/Fire Tier 1 retirees (retired before 2/15/1980) based on active-duty pay changes |
Last updated: April 2026. This guide is for informational purposes only. Federal and D.C. pension laws are complex and subject to change. For individual benefit questions, contact OPM Retirement Services (federal employees) or the D.C. Retirement Board (D.C. local employees) directly.