I think expenses covering a period of time that you could foresee losing your income.
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It could be 12 months. Since the economic collapse, the people I know who lost their jobs took about 11 months to find new employment. I think the 6 months figure was in better economic times, when you could reasonably assume new employment in that time frame if you were laid off and had decent skills.
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Illness is another thought, but I think the ideal is to have a disability insurance policy. Maybe not one with all the bells and whistles but one that would cover a disability of a certain length of time. So your savings pool could cover, say, 6 months of expenses, and then the policy could kick in. But policies usually cover, say, 80% of your income (fancy ones pay 100% but you, you know, PAY for that in premiums). So you'd want some additional cushion in savings to stretch that out.
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So, I think 12 months expenses. Note that expenses is different from 12 months income. (Just mentioning because sometimes people forget that). 12 months would be the IDEAL for me, but I think 6 months would be excellent.