Earlier quoted context omitted.
What do you mean by 'expected' loss? You don't mean the expected value in the statistical sense?
That's what I mean. Suppose you want to insure your home against fire, which could create damage of say $1m with probability 0.1%. Without insurance, you'd have to put aside savings of $1m (the maximum loss), that would remain untouched with 99.9% probability, and be used to cover the fire damage otherwise. With insurance, you'd pay the insurer $1m * 0.1% = $1000, plus a bit on top to cover their cost and profit. In…
Similarly, I can't really understand insuring against expenditures that are certain. Eg insuring for the cost of routine pregnancy (as opposed to insuring for complications only). Or even worse: yearly allowances like 100 dollars flat for new glasses: just decrease my insurance premiums by that 100 dollars, please. (Unless it's a tax dodge, then it makes sense.)