Home › Methodology

Methodology

Last updated: May 2025

Contents

  1. Compound Growth Formula
  2. Inflation Adjustment
  3. Annual Step-Up Contributions
  4. State Tax Modeling
  5. Rule of 72
  6. Data Sources
  7. Limitations & Assumptions

1. Compound Growth Formula

The calculator models compound growth of a supplemental retirement account (typically a 403(b) or 457(b)) using the following approach. Each month, the balance compounds at the periodic rate and then receives a contribution.

// For each year y, for each month i:
r = annualRate / 100 / compoundingFrequency
balance = balance × (1 + r)^(freq/12) + monthlyContribution

// End-of-year portfolio value:
portfolioValue[y] = balance
totalDeposited[y] = principal + (monthlyContrib × 12 × y)
compoundGain[y] = portfolioValue[y] − totalDeposited[y]

The compounding frequency can be set to daily (365), monthly (12), quarterly (4), semi-annual (2), or annual (1). Monthly is the default and most common setting for 403(b) plans managed through payroll deduction.

Compounding Frequency Impact

More frequent compounding produces slightly higher returns. For a $100,000 balance at 7% annual rate over 30 years:

FrequencyEffective Annual Rate30-Year Value
Annual7.000%~$761,226
Monthly7.229%~$781,001
Daily7.250%~$783,023

2. Inflation Adjustment

The calculator reports two values: nominal portfolio value (the raw dollar amount) and real purchasing power (what that money is worth in today’s dollars). Real value is calculated by deflating the nominal value by cumulative inflation:

realValue[y] = portfolioValue[y] / (1 + inflationRate/100)^y

The default inflation rate is 3%, consistent with the Federal Reserve’s long-run target range and the historical average for the US Consumer Price Index (CPI) over multi-decade periods. Users can adjust this to model optimistic (2%) or pessimistic (4-5%) inflation scenarios.

A $1,000,000 portfolio after 30 years at 3% annual inflation is worth approximately $412,000 in today’s purchasing power. Inflation adjustment is one of the most important factors long-term investors underestimate.

3. Annual Step-Up Contributions

The step-up feature models increasing contributions over time, reflecting salary growth. Each year after the first, the monthly contribution is multiplied by (1 + stepUpRate/100):

// Applied at the start of each year after year 1:
monthlyContrib[y] = monthlyContrib[y-1] × (1 + stepUpRate/100)

A 2% annual step-up roughly mirrors expected salary growth for experienced teachers. This is consistent with Bureau of Labor Statistics data on compensation growth in the education sector. A 0% step-up (the default) keeps contributions flat throughout the projection period.

4. State Tax Modeling

The state tax field displays the approximate marginal income tax rate for the state where the calculator is set. This is provided for informational context and to allow users to model the after-tax impact of withdrawals in retirement.

The calculator does not automatically deduct taxes from returns or portfolio values during the accumulation phase, as 403(b) and 457(b) accounts grow tax-deferred. The tax rate field is a reference point for users to factor in their own tax planning.

Zero-Tax States

Nine states have no state income tax: Alaska, Florida, Nevada, New Hampshire, South Dakota, Tennessee, Texas, Washington, and Wyoming. For calculators in these states, the state tax field is highlighted in green and shows 0%.

Pension Income Tax Treatment

Many states provide full or partial exemptions for pension income. Some states exempt all public pension income from state tax. The state tax rates shown in our calculators reflect general income tax rates; actual tax on pension income may be lower depending on your state’s specific rules. Consult a tax professional for guidance on your specific situation.

5. Rule of 72

The "Doubles In" metric uses the Rule of 72, a financial approximation for estimating how long it takes an investment to double at a given compound annual growth rate:

doublingYears ≈ 72 / effectiveAnnualRate(%)

We use the effective annual rate (accounting for compounding frequency) rather than the nominal rate for a more accurate estimate. At 7% nominal monthly compounding (7.229% effective), money doubles in approximately 9.96 years.

6. Data Sources

Data TypePrimary SourceUpdate Frequency
Pension contribution ratesState TRS/STRS official websitesAnnual (September)
Benefit formulasNCTQ Teacher Pension DatabaseAnnual
Average teacher salaryBureau of Labor Statistics OESAnnual (May release)
State income tax ratesState Departments of RevenueAs changed by legislation
Social Security coverageSocial Security AdministrationAnnual
IRS contribution limitsIRS.gov (Rev. Proc. announcements)Annual (November)

Each state calculator pre-loads data specific to that state’s Teacher Retirement System, including the pension acronym, contribution rate, benefit formula, vesting period, and social security coverage status. These are displayed in the sidebar of each state’s calculator for reference.

7. Limitations & Assumptions

For limitations of this tool and appropriate use, see our full Disclaimer. These projections are educational illustrations only.