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Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

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    Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi,


    I'm considering retiring and I'm looking for a way to calculate how much money I will need to withdraw from my 401K Plan if I need say, $40,000 per year and my tax bracket is say, 25%.

    The way I see it now is that if I withdraw $40,000 and I have to pay Uncle Sam say 25% of it (25% of $40,000 = $10,000) I'm left with only $30,000. But I actually need the $40,000 for the year to live on. That means that I'll have to withdraw more than $40,000. Right?

    Certainly there is a formula to do this calculation in Excel. Or, if someone can explain to me the Math around this I might be able to figure some kind of formula (I'm not so great at Excel, though). If a spreadsheet already exist, that would be great.

    Many thanks to anyone who can help me with this. Much appreciated.

    Cheers!

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    You'll have to withdraw 40000/0.75 =53333.333 dollars to fulfill your wish

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi Pepe Le Mokko

    Thanks.

    How did you come-up 0.75?

    53333.333 dollars is correct as I used the following method used in the attached Spreadsheet which I do not like. There got to be a formula method so I can plug in any Tax % and any desired withdrawal amount.

    Once again, many thanks.
    Attached Files Attached Files

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    You have to pay 25% tax so you keep 75% of your total amount.
    For example 10000-10000*25%=10000*0.75 is what you get which is 7500.To find the original sum, do it yhe other way round and divide 7500 by 75% to get 10000
    See the sheet attached ( if it opens, it's OpenOffice with an xls extension)
    Attached Files Attached Files

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi Pepe Le Mokko

    Thanks. It works. Much appreciated.

    Cheers!

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Quote Originally Posted by Par View Post
    I'm considering retiring and I'm looking for a way to calculate how much money I will need if I withdraw $40,000 and I have to pay Uncle Sam say 25% of it (25% of $40,000 = $10,000) I'm left with only $30,000. But I actually need the $40,000 for the year to live on. That means that I'll have to withdraw more than $40,000. Right?
    More generally, the formula is:

    =40000/(1-t)

    where "t" is the marginal tax rate (e.g. 25%).

    If you understand basic algebra, the explanation is: You need to withdraw "x" such that:

    x*(1-t) = 40000

    So:

    x = 40000/(1-t)

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi joeu2004

    Got it! Thanks very much. Much appreciated.

    I suppose you'll do the same if I had to factor in State Tax Bracket as well, that is:

    x=$40000*(1-(Ft1+St1)

    Thanks.

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Quote Originally Posted by Par View Post
    I suppose you'll do the same if I had to factor in State Tax Bracket as well, that is:
    x=$40000*(1-(Ft1+St1)
    Corrections:

    x = 40000 / (1 - (Ft+St))
    or
    x = 40000 / (1 - Ft - St)

    where "x" is the amount to withdraw, and 40000 is the amount you want after taxes.

    In Excel, we are deriving the amount to withdraw:

    =A1 / (1-F1-S1)

    where A1 is the required after-tax amount, F1 is the federal marginal tax rate, and S1 is the state marginal tax rate. Both F1 and S1 are the percentage rates, e.g. 25% or 0.25.

    [ERRATA] Note that I meant to write 25%, not 25. That was the point. Klunk!

    Caveat.... Sometimes, the amount withdrawn changes the marginal tax rate. That complicates the formula significantly. Using the average tax rate instead would underestimate the amount to withdraw, as does using the lower marginal tax rate. For simplicity, use the higher marginal tax rate, unless you truly need to minimize the amount to withdraw. For example, some income-producing annuities limit the amount that you can withdraw in a year.
    Last edited by joeu2004; 01-26-2015 at 01:47 PM. Reason: caveat; errata

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi joeu2004,

    This is good. I like it. Thanks. I go ahead and factor in the State

    You guys are the best on this Forum.

    Cheers!

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi joeu2004,

    I thought I'd share this piece of information I found on the web with you since you were so kind to help me out this morning:

    How to Calculate Your Combined Federal and State Marginal Tax Bracket

    The tax rate schedules list tax rates for Federal income tax only. It does not include state income tax. To account for "overlapping" levels of taxation (i.e., the fact that you can deduct state income tax payments on a federal tax return if you itemize deductions), to determine your combined (federal and state) income tax bracket, use the following formula:

    (100% - Federal tax bracket) x State tax bracket = Effective State bracket

    For example, if you are in a 3.5% state tax bracket and the 25% Federal tax bracket, your effective state tax bracket would be 3.00%, computed as follows:

    (100% - 25%) x 3.5% = .75 x .035 = .03 = 3.00%

    Next, add your effective state bracket to your federal tax bracket to determine your combined tax bracket using the following formula:

    Federal tax bracket + Effective state bracket = Combined (state & federal) tax bracket

    In the above example of a taxpayer in the 25% federal tax bracket and a 3.5% state tax bracket, the combined tax rate would be computed as follows:

    25% Federal rate + 3% Effective state rate = 28% combined tax rate.

    Cheers!

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Quote Originally Posted by Par View Post
    to determine your combined (federal and state) income tax bracket, use the following formula:
    (100% - Federal tax bracket) x State tax bracket = Effective State bracket
    [....]
    Federal tax bracket + Effective state bracket = Combined (state & federal) tax bracket
    Yes. And based on that, you could use one of the following equivalent formulas to determine how much to withdraw in order to have 40,000 after taxes:

    40000 / (1 - t - s*(1-t))
    or
    40000 / (1-t) / (1-s)

    But that assumes the state income tax is deductible. That is, you itemize federal deductions, and your federal AGI is below some threshold, depending on your filing status.

    So, for example, if your federal marginal rate is 25% and your state marginal rate is 9.3%, and the withdrawal does not affect those rates:

    1. Assuming state income tax is not deductible, but it is, would result in an over-withdrawal of about 1420.

    It would result in an over-withdrawal of at least 3400 if the withdrawal pushes you into a higher federal marginal rate and we apply that rate to the entire withdrawal, another simplification that I suggested.

    2. Assuming state income tax is deductible, but it is not, would result in an under-withdrawal of about 1370.

    Since you did not provide sufficient details (understandably), I made the conservative and simplifying assumption that state tax is not deductible.

    For my own planning, I prefer to somewhat over-estimate after-tax income rather than under-estimate it. But reasonable people might disagree.

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi joeu2004,

    Please indulge me for a bit. I do not understand:

    So, for example, if your federal marginal rate is 25% and your state marginal rate is 9.3%, and the withdrawal does not affect those rates:

    1. Assuming state income tax is not deductible, but it is, would result in an over-withdrawal of about 1420. How can state income tax is not deductible, but it is?How did you come up with 1420 or close to it?

    It would result in an over-withdrawal of at least 3400 if the withdrawal pushes you into a higher federal marginal rate and we apply that rate to the entire withdrawal, another simplification that I suggested.

    2. Assuming state income tax is deductible, but it is not, would result in an under-withdrawal of about 1370. How can state tax be deductible, but it is not? How did you come up with 1370 or close to it?

    Please see Row 38 thru 47 of my attachment. Can you modify to demonstrate what you meant, and re-attach?

    Thanks.

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Quote Originally Posted by Par View Post
    Please indulge me for a bit. I do not understand
    We're straying away from the Excel/math question and into tax theory.

    But FYI, another reason why I habitually use the after-tax factor 1-t-s instead of (1-t)*(1-s) is because sometimes we are talking about backup withholding, in which case 1-t-s is the correct factor to use. I just wanted to KISS.

    I usually avoid backup withholding. And we are talking about actual tax here, not backup withholding.


    Quote Originally Posted by Par View Post
    Please see Row 38 thru 47 of my attachment. Can you modify to demonstrate what you meant, and re-attach?
    Note that 1 - t - s*(1-t) and (1-t)*(1-s) are mathematically equivalent. So F45 and F47 should be about the same, subject to binary arithmetic anomalies and any explicit rounding we might choose to do.

    They differ because you have a typo in the formula in F45. It should be =F38/(1-F39-F40*(1-F39)).

    Quote Originally Posted by Par View Post
    1. Assuming state income tax is not deductible, but it is, would result in an over-withdrawal of about 1420.
    How can state income tax is not deductible, but it is? How did you come up with 1420 or close to it?
    [....]
    2. Assuming state income tax is deductible, but it is not, would result in an under-withdrawal of about 1370.
    How can state tax be deductible, but it is not? How did you come up with 1370 or close to it?
    The operative word is "assuming". Our assumptions might be wrong.

    a. State income tax is not deductible if we do not itemize deductions.

    b. State income tax is deductible, but ineffective if we itemize, but our adjusted gross income (AGI) exceeds the phase-out threshold for our filing status and some other conditions apply. See the Itemized Deductions Worksheet in http://www.irs.gov/pub/irs-pdf/i1040sca.pdf.

    Both conditions (#a and #b) are determined when we file tax returns the following year. So earlier assumptions might be wrong either way in the final analysis.

    The estimated differences of +1420 and -1370 are derived from the difference between the required after-tax amount (40,000) and the actual after-tax amount when actual conditions differ from assumed conditions. See the calculations in "pre-tax 401k-IRA withdrawal.xls" (click here) [1].

    My intended point is: the difference is relatively small either way. So I would opt for the simpler (and more conservative) calculation using 1-t-s, unless that exceeds some plan-imposed limitation on the amount of the withdrawal. But reasonable people might disagree.


    -----
    [1] https://app.box.com/s/vdk68zbkhi24mfbox4e0m72m9b9b6ym5
    Last edited by joeu2004; 01-27-2015 at 03:49 PM.

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    PS....
    Quote Originally Posted by joeu2004 View Post
    See the calculations in "pre-tax 401k-IRA withdrawal.xls" (click here) [1].
    [....]
    [1] https://app.box.com/s/vdk68zbkhi24mfbox4e0m72m9b9b6ym5
    If you already downloaded the file, you might want to download it again.

    I improved the description of when the state income tax is deductible, but ineffective. The change avoids some ambiguity.

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    Re: Excel Formula to calculate 401K Withdrawal amount to factor in Federal Income Taxes

    Hi joeu2004,

    Thanks. I got it now. Sorry, I didn't mean to get into the Tax theory bit.

    Thanks for the Box posting. I'll be able to work with this now.

    Cheers!

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