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what if a former employer contributes to my 401k in the year following my exit?
According to the IRS, you can still put money in your IRA. Here (https://www.irs.gov/Retirement-Plans/Plan-Participant,-Employee/Retirement-Topics-IRA-Contribution-Limits) they say: Can I contribute to an IRA if I participate in a retirement plan at work? You can contribute to a traditional or Roth IRA whether or not you participate in another retirement plan through your employer or business. However, you might not be able to deduct all of your traditional IRA contributions if you or your spouse participates in another retirement plan at work. Roth IRA contributions might be limited if your income exceeds a certain level. In addition, in this link (https://www.irs.gov/Retirement-Plans/IRA-Deduction-Limits), the IRS says: Retirement plan at work: Your deduction may be limited if you (or your spouse, if you are married) are covered by a retirement plan at work and your income exceeds certain levels. The word 'covered' should clarify that - you are not covered anymore in that year, you just got a contribution in that year which was triggered by work done in a previous year. You cannot legally be covered in a plan at an employer where you did not work in that year.