Your brother has asked you for a loan and has promised to pay you $$9,750$ at the end of three years. If you normally invest to earn $5\mathrm{.}80$ percent per year, how much will you be willing to lend to your brother if you view this purely as a financial transaction $($i$.$e$.,$ you don't give your brother a special deal$)?($If you solve this problem with algebra round intermediate calculations to $6$ decimal places, in all cases round your final answer to the nearest penny.$)$

Amount to be invested today

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