Your company has just purchased a $$320,000$ Game of Thrones synthesizer for a down payment of $15\%$ and a $10-$year loan at $6\%$ APR, payable monthly. To the nearest penny, the outstanding balance on the loan at the end of month $2$ is $$.$

$277,068\mathrm{.}44$

$268,671\mathrm{.}70$

$260,276\mathrm{.}96$

$285,465\mathrm{.}18$