If you're talking physical cash, a person would have to get to the physical location to take it (as opposed to being available to everyone in the world with an internet connection).
If you're talking digital cash in a bank, most banks have a form of insurance that will cover your losses (for example, most US banks are FDIC insured and cover up to $250,000 USD in losses).
Stock assets may be the closest comparison, as brokerage firms aren't backed by an independent agency, and losses that occur from cyber-theft would only be reimbursed if the firm wanted to.
But it does not protect you from hacking of your individual account. If someone tricks your broker/custodian into selling your stocks and wiring them the money, SIPC (perhaps surprisingly) will not save you.
See: http://www.reuters.com/article/us-investing-hackedaccounts-i...
Obviously you can't go with "You can trust us, we know what we're doing"
You could find a party that is endorsed by someone going "You can trust them, They know what they are doing, Trust us on this, we know what we're doing"
But that just moves the point of concern.
Is there yet any "You can trust them, if we are wrong about that we will cover your losses" insurance. (even then how can you be certain they will follow through)
Surely you wouldn't store your cash in a bitcoin exchange? It's not a bank.
With bitcoin you don't even necessarily need a third party, a hardware wallet could do just fine. That can be stored in a safety deposit box if you feel like it.
>Is there yet any "You can trust them, if we are wrong about that we will cover your losses" insurance. (even then how can you be certain they will follow through)
While you can certainly insure anything if you pay enough, I don't think there's anyone publicly offering that in the crypto space. But then there doesn't seem to exist a similar mechanism for USD accounts of any significant size either.
And anyway, robbing safes is easy. But try emptying a bitcoin wallet encrypted with a good password, it's very easy to make impossible.
There's the problem with adoption. "SFYL you should have been smarter" means there will always be a % of the population who should never use it.
Not losing bitcoin isn't any harder than not losing cash.
Problem here is people storing their coins with unqualified third parties.