So I'm guessing you don't have your securities license and aren't talking about variable annuities (since their account value is always subject to losses...even if there are protections in place)?
I can also make strong arguments for annuities for several scenarios....especially to those that are incredibly risk adverse (so the alternative is they'll just keep their money in a saving account)....and are older . There is a good chance they'll be better off in the long run given their strong aversion to risk taking.
That said, we all should understand that "when risk is removed", you are paying for that protection. As you know, the insurance (annuity) company is charging a premium one way or another to offer you that protection. In other words for the "peace of mind", a person is trading some opportunity away, due to the higher expenses and caps on performance you receive), as compared to if they fully participated in the market outside of an annuity. For some (especially the younger you are), this could be a trade-off of several, several thousands of dollars in returns.
Correct, I'm a Life insurance agent with a BA in Finance that's certified to sell annuities in Iowa. If anyone has an old 401k that isn't being managed send me a PM.