A Roth IRA enables an individual to invest after-tax dollars during the accumulation phase of a retirement

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A Roth IRA enables an individual to invest after-tax dollars during the accumulation phase of a retirement plan. The money is then income tax free when it is withdrawn during retirement. A tax-deductible IRA, on the other hand, provides an upfront tax deduction for the annual contribution, but it then requires income taxes to be paid on all future distributions. A basic assumption as to which plan is more beneficial concerns the current income tax rates versus their projected rates in the future.
To illustrate, suppose that $2,000 is available to invest at the end of each year for 30 years. The income tax rate now and into the foreseeable future is 28%, so $2,000(1 - 0.28) = $1,440 is invested annually into the Roth IRA. However, $2,000 per year can be invested into a tax-deductible IRA. Money invested under either plan will be deposited into a mutual fund earning 8% per year, and all accumulated money will be withdrawn as a lumpsum at the end of year 30.
a. Which plan is better if future distributions of the traditional (tax-free) IRA are taxed at an income tax rate of 28%?
b. Which plan is better if the future income tax rate at retirement (end of year 30) is 30%?
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Engineering Economy

ISBN: 978-0132554909

15th edition

Authors: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

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