Earlier quoted context omitted.
https://github.com/bitcoin/bips/blob/master/bip-0032.mediawi... I think the main advantage to a blockchain solution is the cryptographic verifiability. Not only is the accounting accurate, but the funds cannot be forged or hidden. Also the rules for managing funds can be programmatically encoded using a series of technologies such as multi-sig keys, pay-to-script-hashes, and HD Keys.
Thanks for the explanation and wallet pointer.
This isn't pie in the sky tech. It's real and accessible from your mobile browser today. Pretty exciting times I think.