Carefully reproduce the example of a trader lending to a farmer, where output sold by the farmer

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Carefully reproduce the example of a trader lending to a farmer, where output sold by the farmer to the trader at a discounted price (as well as direct interest) can be required as repayment for the loan. Show that the loan will be advanced at a rate of interest that is below the opportunity cost of funds for the trader, and all profits are made by the trader by buying output at a discounted price.

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