Transparency: Unlike centralized authorities, blockchain is a public ledger, storing the accounting and transactions all in one place for all to see. This allows a party to verify exactly what they are agreeing to instead of simply trusting an authority.
Security: Blockchain is a distributed network of verifying nodes. In order to attack or manipulate the ledger, you would have to attack every node in the network instead of one centralized authority.
Improved traceability: Because the accounting is stored along with each transaction, and every change to the network is recorded, immutable, and public.
Increased efficiency and speed: Blockchain automates the jobs of bankers, auditors, and many other types of middlemen.
Reduced cost: With blockchain, you are no longer paying for the work of said bankers, auditors, and other middlemen, thus reducing the cost. Plus with more accurate data, individuals and organizations could potentially make better decisions, saving time and/or money.