IRA Calculator (Traditional vs Roth

Individual Retirement Account (IRA) Financial Principles

Individual Retirement Accounts (IRAs) are tax-advantaged investment vehicles created by the US government to encourage personal retirement savings.

Core Retirement Compound Formulas

• Future Value of Initial Lump Sum: FV_Lump = Principal ×ⁿ

• Future Value of Annual Annuity: FV_Annuity = Contribution × [ⁿ - 1) ÷ r ]

• Total Accumulation: Nest_Egg = FV_Lump + FV_Annuity

• Traditional IRA After-Tax Balance: Trad_Net = Nest_Egg × (1 - Retirement_Tax_Rate %)

• Roth IRA Net Advantage: Roth_Advantage = Nest_Egg - Trad_Net = Nest_Egg × Retirement_Tax_Rate %

Traditional vs Roth Rule of Thumb

• Choose Roth IRA: If you expect your income and tax bracket to be higher in retirement than today.

• Choose Traditional IRA: If you are currently in your peak earning years with high tax rates and expect a lower tax bracket in retirement.

How to Use This Calculator

Enter your Current Investor Age (e.g. 30 in yrs), Target Retirement Age (e.g. 65 in yrs), Current Starting IRA Balance (e.g. 15000 in ), Annual Contribution Amount (e.g. 7000 in ), Expected Annual Investment Return (e.g. 7.0 in %), and Expected Retirement Income Tax Bracket (e.g. 22 in %). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Formula Reference: IRA Calculator (Traditional vs Roth)

Input variables:

currentAge — Current Investor Age

retirementAge — Target Retirement Age

currentIraBalanceUsd — Current Starting IRA Balance

annualContributionUsd — Annual Contribution Amount

expectedReturnPct — Expected Annual Investment Return

Computed outputs:

traditionalIraBalanceUsd — After-Tax Traditional IRA Nest Egg

rothIraBalanceUsd — 100% Tax-Free Roth IRA Nest Egg

taxFreeRothAdvantageUsd — Roth Tax Savings Advantage

totalContributionsUsd — Total Personal Principal Invested

Mathematical relationships extracted from calculation logic:

years = rAge - cAge

fv = initBal * Math.pow(1 + retPct, years)

tradAfterTax = fv * (1 - taxPct)

advantage = rothBalance - tradAfterTax

totalContrib = initBal + (annContrib * years)

Standard: NIST / ISO mathematical definitions

Worked Example

A 30-year-old contributing 7,000 annually until age 65 at 7% annual growth: Out-of-pocket contributions total 260,

• At age 65, the Roth IRA yields 1,153,607.35 tax-free (253,793.62 more than Traditional IRA after 22% retirement taxes).

Understanding Your Result

Evaluate your result in the context of your specific use case and relevant industry standards or reference values. A single calculated result is a starting point — test two to three scenarios to understand how sensitive the outcome is to your key input assumptions. For high-stakes decisions, verify your result against a secondary source or subject-matter expert before acting.