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Aren’t “Big Life Insurance” and “Big Annuity” pretty much the same companies?

They are, they're basically mathematical inverses of the same product.

Big Annuity can charge you more, in fact, if it has reason to believe you're going to live unusually long, so playing the GLP-1 dance with them would only be profitable in reverse. Pretend to be the unhealthiest person on the planet, lock in an annuity, then get on the drip stat.

I think the difference is people generally get Life Insurance when they are younger (I'm guessing frequently when they have kids, that is when I got it at least) but get Annuities when they are a senior. I don't know anyone my age who is purchasing an annuity now, though I suppose there must be someone who would be willing to sell it.

I think the deal would have to be very sweet for eg a 30 year old like yours truly to forgo 35 years of index fund gains to pick up an annuity instead. That's also 35 years where the annuity firm itself night shutter its doors - a risky play, but right for the right price.

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