Question: As a risk - neutral lender, you know that there are two types of borrowers: Type X: Earns $ 2 0 0 with 8 0

As a risk-neutral lender, you know that there are two types of borrowers:
Type X: Earns $200 with 80% chance, needs $100 to start
Type Y: Earns $150 with 95% chance. needs $100 to start.
If you can tell who is Type x and who is Type Y, what is the minimum interest you would charge for Type x?

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