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Smith lends Jones 1000 on January 1, 2017 on the condition that Jones repay 100 on January 1, 2018, 100 on January 1, 2019,

Smith lends Jones 1000 on January 1, 2017 on the condition that Jones repay 100 on January 1, 2018, 100 on January 1, 2019, and 1000 on January 1, 2020. On July 1, 2018, Smith sells to Brown the rights to the remaining payments for 1000, so Jones makes all future payments to Brown. Let j be the 6-month rate earned on Smith's net transaction, and let k be the 6-month rate earned on Brown's net transaction. Are j and k equal? If not, which is larger?

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