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BlackBerry Took a Loan Contract Which Requires a Payment of $40

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BlackBerry took a loan contract which requires a payment of $40 million plus interest two years after the contract's date of issue. The interest rate on the $40 million face value is 9.6% compounded quarterly. Before the maturity date, the original lender sold the contract to a pension fund for $43 million. The sale price was based on a discount rate of 8.5% compounded semi-annually from the date of sale. How many months before the maturity date did the sale take place?

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