Roth IRA Calculator

Roth IRA is evaluated from Annual Roth IRA Contribution, Current Roth IRA Balance and Expected Annual Return. The calculation reports Projected Balance, Total Contributions and Tax-Free Growth.

Results

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About the Roth IRA Calculator

Roth IRA is treated here as a quantitative relation between Annual Roth IRA Contribution, Current Roth IRA Balance, Expected Annual Return and Years Until Retirement and Projected Balance, Total Contributions and Tax-Free Growth.

The calculator uses a custom php logic configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Monthly equivalent = annual_contribution / 12
FV of existing balance = current_balance x (1 + r/12)^n
FV of annual contributions = monthly x [(1 + r/12)^(n x 12) - 1] / (r/12)
Where r = annual_return / 100, n = years
Total Contributions = current_balance + annual_contribution x years
Tax-Free Growth = Future Value - Total Contributions
Note: Contributions are capped at 2024 IRS limits ($7,000/yr standard, $8,000/yr age 50+).

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Monthly equivalent = annual_contribution / 12
FV of existing balance = current_balance x (1 + r/12)^n
FV of annual contributions = monthly x [(1 + r/12)^(n x 12) - 1] / (r/12)
Where r = annual_return / 100, n = years
Total Contributions = current_balance + annual_contribution x years
Tax-Free Growth = Future Value - Total Contributions
Note: Contributions are capped at 2024 IRS limits ($7,000/yr standard, $8,000/yr age 50+).

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: 25-Year-Old Maxing Annual Contributions

Inputs

annual_contribution: 7000 current_balance: 0 annual_return: 8 years: 40

Projected Balance: $2,049,997. Total Contributions: $280,000. Tax-Free Growth: $1,769,997

With Annual Roth IRA Contribution = 7,000, Current Roth IRA Balance = 0, Expected Annual Return = 8 and Years Until Retirement = 40 as the stated inputs, the result is Projected Balance = $2,049,997, Total Contributions = $280,000 and Tax-Free Growth = $1,769,997. Each value corresponds to the declared output fields.

Example 2: 30-Year-Old with Existing Balance

Inputs

annual_contribution: 6000 current_balance: 25000 annual_return: 7.5 years: 35

Projected Balance: $1,335,949. Total Contributions: $235,000. Tax-Free Growth: $1,100,949

With Annual Roth IRA Contribution = 6,000, Current Roth IRA Balance = 25,000, Expected Annual Return = 7.5 and Years Until Retirement = 35 as the stated inputs, the result is Projected Balance = $1,335,949, Total Contributions = $235,000 and Tax-Free Growth = $1,100,949. Each value corresponds to the declared output fields.

Example 3: Catch-Up Contributions at Age 50

Inputs

annual_contribution: 8000 current_balance: 120000 annual_return: 7 years: 15

Projected Balance: $543,625. Total Contributions: $240,000. Tax-Free Growth: $303,625

With Annual Roth IRA Contribution = 8,000, Current Roth IRA Balance = 120,000, Expected Annual Return = 7 and Years Until Retirement = 15 as the stated inputs, the result is Projected Balance = $543,625, Total Contributions = $240,000 and Tax-Free Growth = $303,625. Each value corresponds to the declared output fields.

Example 4: Conservative Investor (Lower Return)

Inputs

annual_contribution: 5000 current_balance: 10000 annual_return: 5 years: 30

Projected Balance: $391,439. Total Contributions: $160,000. Tax-Free Growth: $231,439

With Annual Roth IRA Contribution = 5,000, Current Roth IRA Balance = 10,000, Expected Annual Return = 5 and Years Until Retirement = 30 as the stated inputs, the result is Projected Balance = $391,439, Total Contributions = $160,000 and Tax-Free Growth = $231,439. Each value corresponds to the declared output fields.

Common Use Cases

Project your Roth IRA balance at retirement
Understand the value of tax-free Roth growth vs taxable accounts
Calculate how much annual Roth contribution is needed for a target retirement balance