However, I am unsure to how the latter will be solved without a central, trusted party. What is the digital analogue of a passport or driver's license, a piece of identification that is hard to forge?
To add on to why fractional reserve will be hard to implement with cryptocurrencies, another unexplained problem is the issue of collateral backed by a volatile asset.
If that underlying asset rises in value, then the effective interest rate would be equal to the original interest rate + % increase in value; if the opposite occurs, a decrease in value, the 'bank' in this scenario might lose money on that lend.
You might argue that a digital stable-coin is a possible solution. But a digital asset backed by a physical object is probably bound to encounter regulations; and the performance of a stable-coin backed by algorithms is currently unknown to work.
These are two hard problems that have to be solve before fractional reserve is viable on a blockchain.