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A borrower requests a $150 loan from the bank. The borrower is A with probability 0.35 and type B otherwise. A always repays but type B only repays with probability 0.7. If the bank cannot observe the borrower's type, what is the competitive interest rate the bank can offer?

  • 24.3%
  • 27.5%
  • 31%
  • 33.3%

Please explain how you got to this answer step by step

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