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Understanding Individual Retirement Accounts (IRAs)

An Individual Retirement Account (IRA) is a powerful, tax-advantaged account designed to help individuals save for retirement. Choosing the right type of IRA can have a major impact on your long-term savings and tax liability. The primary choice is between a Traditional IRA and a Roth IRA, although business owners and self-employed individuals may also consider SEP or SIMPLE IRAs. Compare options with our Roth IRA Calculator and 401k Calculator.

Traditional IRA vs. Roth IRA

The main difference between Traditional and Roth IRAs lies in when you pay taxes on the money you contribute:

• Traditional IRA: Contributions are typically made with pre-tax dollars, meaning you may get a tax deduction in the year you contribute. However, withdrawals during retirement are taxed as ordinary income.
• Roth IRA: Contributions are made with post-tax dollars, meaning there is no immediate tax break. However, qualifying withdrawals during retirement are completely tax-free.

Calculation Formulas

The growth of your retirement savings is projected using the following compounding formulas, assuming contributions are added at the end of each year:

For a pre-tax account (Traditional IRA):

$$A_t = A_{t-1} \times (1 + r) + C$$

Where:

• $$A_t$$ is the account balance at year $$t$$.
• $$r$$ is the expected annual rate of return.
• $$C$$ is the annual before-tax contribution.

At retirement, the after-tax value is calculated by applying the expected tax rate in retirement ($$T_{ret}$$):

$$\text{After-Tax Balance} = A_{years} \times (1 - T_{ret})$$

For a post-tax account (Roth IRA):

$$R_t = R_{t-1} \times (1 + r) + C \times (1 - T_{cur})$$

Where $$T_{cur}$$ is your current marginal tax rate, and the initial balance is adjusted to $$A_0 \times (1 - T_{cur})$$.