Edmonton Pizza borrowed money to redesign their restaurants. Payments of $$$$960$ would be made at the beginning of each month for four $$years$,$ starting in eighteen months. Interest on the loan is $6\mathrm{.}96\%$ compounded annually.

$($a$)$ How much must the company borrow$$ today?

$($b$)$ What will be the amount of the total$$ payments?

$($c$)$ How much of the amount paid will be$$ interest?

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Part $1$

$$a$)$ The company must borrow $$$

$$

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$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$