Deepak's company buys a property valued at $$10,000$ and finances the purchase with an $74\%$ LTV loan. The bank offers a $25$ year amortization schedule with $7\mathrm{.}8\%$ interest and monthly payments and requires a balloon repayment after $5$ years. If Deepak's company holds on to the mortgage at maturity, what will be their balloon payment $($only loan balance still owed$)$ at the end of the mortgage term $($after making $5$ years of monthly payments$)?$ State your answer as a number rounded to the nearest cent $($e$.$g$.$ if you get $$13\mathrm{.}57654,$ write $13\mathrm{.}58)$