FFS the bank makes a profit in every example provided. I don't want to say that you obviously didn't read the post, but I honestly can't see any way you would come to post this comment otherwise.
Loans are a service. Loans with gentle defaults are a more desirable service. Those seeking loans would often purchase such services preferentially and at a profitable premium to the bank, if they were available or if asking for them were socially acceptable. Laws should be passed to encourage banks make such offers.
FFS the bank makes a profit in every example provided.
Because you have chosen imaginary numbers to produce that result. But however the loan is structured, the bank must get its return or it will decline the business.
As Lumifer pointed out, you are proposing an insurance scheme against default. This is an existing structure, perhaps too much so. In the UK it is called Payment Protection Insurance. The problem with PPI is that it was sold under pressure to people who did not need it. The fallout from that has cost some banks billions, or rather, it has f...
Another month, another rationality quotes thread. The rules are: