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Suppose that I ask you to lend me $200 for one year at a 5% promised interest rate. You believe that I will fully pay

Suppose that I ask you to lend me $200 for one year at a 5% promised interest rate. You believe that I will fully pay you the $210 with 95% probability; that I will only repay $100 with 1% probability; and that I will repay nothing with 4% probability. What promised interest rate should you have charged to ensure yourself an expected return of 5%?

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