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Let's use the standard 4% withdrawal rate.
In todays tax brackets, here's what your traditional account balance would have to be for a 4 % withdrawal to put you into the marginal tax brackets for single / married.
10%: 0 / 0
12%: 275k / 500k
22%: 1.1M / 2.2M
24%: 2.3M / 4.6M
32%: 4.5M / 9.0M
And so on…
A $110,000 income puts a single filer into the 24% bracket.
To expand further on this, most people able to save 2+ million as a single person are going to be in the 24% bracket or higher. If you're in the 24% bracket, then until you have balance predicted to grow to 2.3M the traditional seems to be the winner.
Also consider traditional lowers your AGI which has a lot of tax credits tied to it and so on. And can keep you out of the next higher tax bracket.
For example, for a single person if they take the standard deduction and put away max traditional 401k, they can have a gross income of up to 129k but their AGI will be 95k so they'll stay in the 22% marginal tax bracket. If they did a Roth instead they'd be paying 24% tax on all of their contributions, which wouldn't make sense for them to do unless they've already saved enough that their withdrawals will put them into that same tax bracket which would require them to have a future balance of 2.3M for a 4% withdrawal rate.
If you start saving earlier in life the amount you need to save to reach the above account balances is far lower.
For someone age 30, assuming an 7% inflation adjusted growth in an index for the next 30 years until age 60, they'd need only $310,000 in their traditional 401k to reach 2.3M in todays dollars at age 60. That's actually quite a lot to have saved by age 30, if we assume someone began their career at age 22. With the contribution limits, it's actually impossible if the rate of return is only 7%. Even maxing it every year from age 22 to 30 would only get a person to 230k with a 7% return rate.
For the large majority of people who have income to spare for their 401k, they'll be in the 24% bracket and above. And they'll take a number of years, a decade or more to seed their traditional account to the point where their withdrawals will put them into the same marginal tax bracket. So traditional having a lower taxes at withdrawal because of the lower brackets is absolutely valid and makes traditional take priority over roth. And the higher your income, the more it applies.
I think once in the 24% marginal tax bracket it's better to be prioritizing traditional instead of Roth at least until you'll have inflation adjusted withdrawal that put you into the same marginal tax rate, which frankly still requires a lot of savings.
And I'd argue if you accomplished that then you've sort of already won the savings game and have saved enough to maintain your standard of living. You'd arguably be better off to stop using tax advantaged retirement savings accounts at this point and just begin diverting that savings into a taxable account that will leave a lot more to your heirs. And as a bonus you'll have access to the money to retire early without penalties and the growth will be taxed at lower long term capital gains tax rates instead of your marginal tax rate, which is actually quite tax efficient. This philosophy makes roth irrelevant.