You have 6K of spare pre-tax income that you're looking to invest for the future. Today you are in a combined federal+state marginal tax bracket of 20%. You are anticipating that in 40 years your marginal tax bracket on your retirement income will be 18%, and marginal long term gains bracket will be 12%. You decide to invest up to the maximum ($5500) in a Traditional IRA, pay taxes on the remaining $500 and invest it in a taxable account. You expect to earn an average annual rate of return of 8%. For simplicity, assume it'll be composed entirely of capital appreciation, with no taxable interim cash flows. How much will you have in 40 years after withdrawing from the IRA, and cashing in your taxable account? Remember that upon withdrawal you'll pay regular income tax rate on the tIRA money, and long term capital gains on the gains in your taxable account.
How much will you have in 40 years after withdrawing from the IRA, and cashing in your taxable account?
Money From IRA = Investment * (1 + Interest)^Years * (1 - tax)
Money From IRA = 5500 * (1 + 0.08)^40 * (1 - 0.18)
Money From IRA = $97977.59
Money From taxable Account = (Amount * (1 - Current Tax) * (1 + Interest)^Years) - (Amount * (1 - Current Tax) * (1 + Interest)^Years - Amount Invested) * Tax
Money From taxable Account = (500 * (1 - 0.20) * (1 + 0.08)^40) - (8689.81 - 400) * 0.12
Money From taxable Account = 8689.81 - 994.78
Money From taxable Account = 7695.03
Total Money = $7695.03 + 97977.59 = $105672.62
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