Pension Calculator (DB & DC)

Professional pension calculator for Defined Benefit and Defined Contribution plans. Model salary growth, employer match, returns, fees, inflation, COLA, and early-retirement reductions.

Full original guide (expanded)

Pension Calculator (DB & DC)

Estimate a formula-based Defined Benefit (DB) pension or project a Defined Contribution (DC) account and sustainable income. Includes salary growth, employer match, investment returns, fees, inflation, COLA toggle, and early-retirement reductions.

Author: Ugo Candido Reviewed by: Finance Content Editor Last updated: Category: Finance → Retirement

Used to convert nominal results to today’s dollars.

Results

Years to retirement—
Total years of service—
Final average salary (nominal)—
Annual pension at retirement—
Monthly pension at retirement—
Annual pension (today’s dollars)—

Results update instantly as you type. Educational use only.

Authoritative Data Source and Methodology

Primary references: OPM FERS/CSRS computation guidance; ASOP No. 27 (assumption selection); Bengen (1994) withdrawal research. These references informed the DB formula patterns, assumption handling, and DC withdrawal framing.

The Formulas Explained

Defined Benefit (DB):

\[ P_{0} = m \times YOS \times FAS \]
\[ P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases} \]

Final-average-salary approximation (growth \(g\), averaging over \(k\) final years, \(S_R\) salary in year before retirement):

\[ FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0. \]

If the pension has no COLA, convert to today’s dollars with inflation \(i\) over \(n\) years:

\[ P_{\text{real}} = \frac{P}{(1+i)^n}. \]

Defined Contribution (DC):

\[ S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f. \]
\[ I_{\text{rule}} \approx \text{WR} \times B_n,\quad I_{\text{monthly}} = \frac{I_{\text{rule}}}{12}. \]

Worked Example

Scenario Age 35 → 67 (n=32), salary \$60,000, \(g=3\%\), \(i=2.5\%\).

DB: \(m=1.75\%\), current YOS = 5, include future service, \(k=3\), NRA=67, early reduction 6%.

  1. Projected YOS: \(5 + 32 = 37\).
  2. \(S_R = 60{,}000 \cdot 1.03^{32}\).
  3. \(FAS \approx S_R \cdot \frac{1.03\,[1-1.03^{-3}]}{3\cdot 0.03}\).
  4. \(P_0 = 0.0175 \times 37 \times FAS\). Monthly = \(P_0 / 12\).
  5. \(P_{\text{real}} = \frac{P_0}{1.025^{32}}\) (if no COLA).

DC: Balance \$50,000; \(c_e=10\%\); match 50% up to 6% ⇒ total 13%; \(r=6\%\); fees 0.2% ⇒ \(r_n\approx5.8\%\); WR 4%.

  1. Iterate annually for 32 years with growing salary and contributions; compound at \(r_n\).
  2. Income ≈ \(0.04 \times B_{32}\) (nominal); real values divide by \((1+i)^{32}\).

In-Content Ad Unit

Frequently Asked Questions (FAQ)

What is the difference between DB and DC?

DB uses a formula (multiplier × years × final average salary) to promise income; DC builds a balance from contributions and returns, then you pick a withdrawal strategy.

Do results include taxes?

No—outputs are pre-tax; consult local tax rules for after-tax estimates.

How accurate are these estimates?

They follow standard industry formulas/assumptions; actual plan rules and performance may differ.

What about COLA?

If your pension includes COLA, enable the toggle so “real” ≈ “nominal” for the DB income stream.

Full original guide (expanded)

Your original copy (methodology, formulas, glossary, example, and FAQ) is preserved and harmonized above to strengthen E-E-A-T and readability.

Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\\]
','\
Formula (extracted LaTeX)
\[P_{0} = m \times YOS \times FAS\]
P_{0} = m \times YOS \times FAS
Formula (extracted LaTeX)
\[P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases}\]
P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases}
Formula (extracted LaTeX)
\[FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0.\]
FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0.
Formula (extracted LaTeX)
\[P_{\text{real}} = \frac{P}{(1+i)^n}.\]
P_{\text{real}} = \frac{P}{(1+i)^n}.
Formula (extracted LaTeX)
\[S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f.\]
S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f.
Formula (extracted text)
Defined Benefit (DB): \[ P_{0} = m \times YOS \times FAS \] \[ P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases} \] Final-average-salary approximation (growth \(g\), averaging over \(k\) final years, \(S_R\) salary in year before retirement): \[ FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0. \] If the pension has no COLA, convert to today’s dollars with inflation \(i\) over \(n\) years: \[ P_{\text{real}} = \frac{P}{(1+i)^n}. \] Defined Contribution (DC): \[ S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f. \] \[ I_{\text{rule}} \approx \text{WR} \times B_n,\quad I_{\text{monthly}} = \frac{I_{\text{rule}}}{12}. \]
Variables and units
  • T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Pension Calculator (DB & DC)

Estimate a formula-based Defined Benefit (DB) pension or project a Defined Contribution (DC) account and sustainable income. Includes salary growth, employer match, investment returns, fees, inflation, COLA toggle, and early-retirement reductions.

Author: Ugo Candido Reviewed by: Finance Content Editor Last updated: Category: Finance → Retirement

Used to convert nominal results to today’s dollars.

Results

Years to retirement—
Total years of service—
Final average salary (nominal)—
Annual pension at retirement—
Monthly pension at retirement—
Annual pension (today’s dollars)—

Results update instantly as you type. Educational use only.

Authoritative Data Source and Methodology

Primary references: OPM FERS/CSRS computation guidance; ASOP No. 27 (assumption selection); Bengen (1994) withdrawal research. These references informed the DB formula patterns, assumption handling, and DC withdrawal framing.

The Formulas Explained

Defined Benefit (DB):

\[ P_{0} = m \times YOS \times FAS \]
\[ P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases} \]

Final-average-salary approximation (growth \(g\), averaging over \(k\) final years, \(S_R\) salary in year before retirement):

\[ FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0. \]

If the pension has no COLA, convert to today’s dollars with inflation \(i\) over \(n\) years:

\[ P_{\text{real}} = \frac{P}{(1+i)^n}. \]

Defined Contribution (DC):

\[ S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f. \]
\[ I_{\text{rule}} \approx \text{WR} \times B_n,\quad I_{\text{monthly}} = \frac{I_{\text{rule}}}{12}. \]

Worked Example

Scenario Age 35 → 67 (n=32), salary \$60,000, \(g=3\%\), \(i=2.5\%\).

DB: \(m=1.75\%\), current YOS = 5, include future service, \(k=3\), NRA=67, early reduction 6%.

  1. Projected YOS: \(5 + 32 = 37\).
  2. \(S_R = 60{,}000 \cdot 1.03^{32}\).
  3. \(FAS \approx S_R \cdot \frac{1.03\,[1-1.03^{-3}]}{3\cdot 0.03}\).
  4. \(P_0 = 0.0175 \times 37 \times FAS\). Monthly = \(P_0 / 12\).
  5. \(P_{\text{real}} = \frac{P_0}{1.025^{32}}\) (if no COLA).

DC: Balance \$50,000; \(c_e=10\%\); match 50% up to 6% ⇒ total 13%; \(r=6\%\); fees 0.2% ⇒ \(r_n\approx5.8\%\); WR 4%.

  1. Iterate annually for 32 years with growing salary and contributions; compound at \(r_n\).
  2. Income ≈ \(0.04 \times B_{32}\) (nominal); real values divide by \((1+i)^{32}\).

In-Content Ad Unit

Frequently Asked Questions (FAQ)

What is the difference between DB and DC?

DB uses a formula (multiplier × years × final average salary) to promise income; DC builds a balance from contributions and returns, then you pick a withdrawal strategy.

Do results include taxes?

No—outputs are pre-tax; consult local tax rules for after-tax estimates.

How accurate are these estimates?

They follow standard industry formulas/assumptions; actual plan rules and performance may differ.

What about COLA?

If your pension includes COLA, enable the toggle so “real” ≈ “nominal” for the DB income stream.

Full original guide (expanded)

Your original copy (methodology, formulas, glossary, example, and FAQ) is preserved and harmonized above to strengthen E-E-A-T and readability.

Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\\]
','\
Formula (extracted LaTeX)
\[P_{0} = m \times YOS \times FAS\]
P_{0} = m \times YOS \times FAS
Formula (extracted LaTeX)
\[P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases}\]
P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases}
Formula (extracted LaTeX)
\[FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0.\]
FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0.
Formula (extracted LaTeX)
\[P_{\text{real}} = \frac{P}{(1+i)^n}.\]
P_{\text{real}} = \frac{P}{(1+i)^n}.
Formula (extracted LaTeX)
\[S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f.\]
S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f.
Formula (extracted text)
Defined Benefit (DB): \[ P_{0} = m \times YOS \times FAS \] \[ P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases} \] Final-average-salary approximation (growth \(g\), averaging over \(k\) final years, \(S_R\) salary in year before retirement): \[ FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0. \] If the pension has no COLA, convert to today’s dollars with inflation \(i\) over \(n\) years: \[ P_{\text{real}} = \frac{P}{(1+i)^n}. \] Defined Contribution (DC): \[ S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f. \] \[ I_{\text{rule}} \approx \text{WR} \times B_n,\quad I_{\text{monthly}} = \frac{I_{\text{rule}}}{12}. \]
Variables and units
  • T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn

Pension Calculator (DB & DC)

Estimate a formula-based Defined Benefit (DB) pension or project a Defined Contribution (DC) account and sustainable income. Includes salary growth, employer match, investment returns, fees, inflation, COLA toggle, and early-retirement reductions.

Author: Ugo Candido Reviewed by: Finance Content Editor Last updated: Category: Finance → Retirement

Used to convert nominal results to today’s dollars.

Results

Years to retirement—
Total years of service—
Final average salary (nominal)—
Annual pension at retirement—
Monthly pension at retirement—
Annual pension (today’s dollars)—

Results update instantly as you type. Educational use only.

Authoritative Data Source and Methodology

Primary references: OPM FERS/CSRS computation guidance; ASOP No. 27 (assumption selection); Bengen (1994) withdrawal research. These references informed the DB formula patterns, assumption handling, and DC withdrawal framing.

The Formulas Explained

Defined Benefit (DB):

\[ P_{0} = m \times YOS \times FAS \]
\[ P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases} \]

Final-average-salary approximation (growth \(g\), averaging over \(k\) final years, \(S_R\) salary in year before retirement):

\[ FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0. \]

If the pension has no COLA, convert to today’s dollars with inflation \(i\) over \(n\) years:

\[ P_{\text{real}} = \frac{P}{(1+i)^n}. \]

Defined Contribution (DC):

\[ S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f. \]
\[ I_{\text{rule}} \approx \text{WR} \times B_n,\quad I_{\text{monthly}} = \frac{I_{\text{rule}}}{12}. \]

Worked Example

Scenario Age 35 → 67 (n=32), salary \$60,000, \(g=3\%\), \(i=2.5\%\).

DB: \(m=1.75\%\), current YOS = 5, include future service, \(k=3\), NRA=67, early reduction 6%.

  1. Projected YOS: \(5 + 32 = 37\).
  2. \(S_R = 60{,}000 \cdot 1.03^{32}\).
  3. \(FAS \approx S_R \cdot \frac{1.03\,[1-1.03^{-3}]}{3\cdot 0.03}\).
  4. \(P_0 = 0.0175 \times 37 \times FAS\). Monthly = \(P_0 / 12\).
  5. \(P_{\text{real}} = \frac{P_0}{1.025^{32}}\) (if no COLA).

DC: Balance \$50,000; \(c_e=10\%\); match 50% up to 6% ⇒ total 13%; \(r=6\%\); fees 0.2% ⇒ \(r_n\approx5.8\%\); WR 4%.

  1. Iterate annually for 32 years with growing salary and contributions; compound at \(r_n\).
  2. Income ≈ \(0.04 \times B_{32}\) (nominal); real values divide by \((1+i)^{32}\).

In-Content Ad Unit

Frequently Asked Questions (FAQ)

What is the difference between DB and DC?

DB uses a formula (multiplier × years × final average salary) to promise income; DC builds a balance from contributions and returns, then you pick a withdrawal strategy.

Do results include taxes?

No—outputs are pre-tax; consult local tax rules for after-tax estimates.

How accurate are these estimates?

They follow standard industry formulas/assumptions; actual plan rules and performance may differ.

What about COLA?

If your pension includes COLA, enable the toggle so “real” ≈ “nominal” for the DB income stream.

Full original guide (expanded)

Your original copy (methodology, formulas, glossary, example, and FAQ) is preserved and harmonized above to strengthen E-E-A-T and readability.

Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\\]
','\
Formula (extracted LaTeX)
\[P_{0} = m \times YOS \times FAS\]
P_{0} = m \times YOS \times FAS
Formula (extracted LaTeX)
\[P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases}\]
P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases}
Formula (extracted LaTeX)
\[FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0.\]
FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0.
Formula (extracted LaTeX)
\[P_{\text{real}} = \frac{P}{(1+i)^n}.\]
P_{\text{real}} = \frac{P}{(1+i)^n}.
Formula (extracted LaTeX)
\[S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f.\]
S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f.
Formula (extracted text)
Defined Benefit (DB): \[ P_{0} = m \times YOS \times FAS \] \[ P = \begin{cases} P_{0}, & R \ge \text{NRA}\\[4pt] P_{0}\,\big(1 - r_e \cdot (\text{NRA}-R)\big), & R < \text{NRA} \end{cases} \] Final-average-salary approximation (growth \(g\), averaging over \(k\) final years, \(S_R\) salary in year before retirement): \[ FAS \approx S_R \cdot \frac{(1+g)\,\big(1-(1+g)^{-k}\big)}{k\,g} \quad (g\ne 0),\quad FAS=S_R \text{ if } g=0. \] If the pension has no COLA, convert to today’s dollars with inflation \(i\) over \(n\) years: \[ P_{\text{real}} = \frac{P}{(1+i)^n}. \] Defined Contribution (DC): \[ S_t = S_{t-1}(1+g),\quad C_t = S_t\big(c_e + \min(c_e, c_{cap})\,c_m\big),\quad B_t = (B_{t-1}+C_t)\,(1+r_n),\ r_n \approx r-f. \] \[ I_{\text{rule}} \approx \text{WR} \times B_n,\quad I_{\text{monthly}} = \frac{I_{\text{rule}}}{12}. \]
Variables and units
  • T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
Formulas

(Formulas preserved from original page content, if present.)

Version 0.1.0-draft
Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).