I'd say 3 months expenses should be the goal. You might go below this at times, but 3 months is 3 months.
Make sure you measure it on expenses, not on income. You might take home 100k, but really only need 30k of it. EF should be based on 30k then (1/12 of 30k=2.5k. EF should cover mortgage payment, utilities and groceries for 3 months.
Moving increases risks. There are risks associated with moving where you want 3 months cash or MORE. Might have a new bill (a county, city or village tax due for example) or might have a new repair (find out hot water heater is busted or A/C does not work). Might find out previous landowner stuck you with a bill you did not realize. So I would error on side of 4-6 months expenses when you move, then lower this to 3 months within a year of moving.
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