for a single individual, the max HSA for 2020 is $3550 which is prorated by the number of months covered by a HDHP. if you have both HDHP and NON-HDHP coverage in a month, that month does not qualify. so if you quit in January and started with the new employer also in January, you have 0 eligible months which makes the entire $2,000 taxable for 2020. not only that, you have to withdraw the excess contribution and earnings thereon by 5/17/2021 to avoid a 6% additional penalty on the excess contribution. that penalty repeats every year until you either withdraw the excess and earnings or become eligible to apply the excess to future years because you became covered under a HDHP.
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