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Michael_Sullivan comments on Rational Romantic Relationships, Part 1: Relationship Styles and Attraction Basics - Less Wrong
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That's not quite right in practice either. Even if you took all my money, I'd still take the 15% chance at $1M and maybe sell a 15% chance of $5k for $500.
Or if that is somehow not allowed, then I'd run into a bit of debt until my next pay check. Even if I really was spending all the money I make and averaging $0, $500 is a mere blip in the noise, not a factor of infinity more money.
It makes more sense to look at the total money in over whatever time scale you plan for.
The present value of my expected future income stream from normal labor, plus my current estimated net worth is what I use when I do these calculations for myself as a business owner considering highly risky investments.
For most people with decent social capital (almost anyone middle class in a rich country), the minimum base number in typical situations should be something >200kUS$ even for those near bankruptcy.
Obviously, this does not cover non-typical situations involving extremely important time-sensitive opportunities requiring more cash than you can raise on short notice (such as the classic life-saving medical treatment required).