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A loan in the amount of $$187,500$ at $4\mathrm{.}5\%$ for $30$ years closes on September $19.$ The first monthly payment is due on November $1.$ Using a $30$

day month$/360$ day year, what is the amount of interim interest that the borrower has to pay at settlement?

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A$)$

$$23\mathrm{.}44$

B$)$

$$281\mathrm{.}25$

C$)$

$$445\mathrm{.}31$

D$)$

$$843\mathrm{.}75$