$13-$Deepak's company buys a property valued at $$10,000$ and finances the purchase with an $77\%$ LTV loan. The bank offers a $25$ year amortization schedule with $6\mathrm{.}3\%$ interest and monthly payments and requires a balloon repayment after $5$ years. If Deepak's company holds on to the mortgage at maturity, what will be their balloon payment $($only loan balance still owed$)$ at the end of the mortgage term $($after making $5$ years of monthly payments$)?$ State your answer as a number rounded to the nearest cent $($e$.$g$.$ if you get $$13\mathrm{.}57654,$ write $13\mathrm{.}58)$

$14-$ Tom bought a house for $$4,000$ and financed it with a mortgage. $15$ years later, his house has appreciated and is now worth $$9472.$ He still has a remaining balance on his loan of $$2533.$ He is considering a cash$-$out refinancing and getting a new mortgage at $83\%$ LTV$.$ How much cash will Tom be able to take out with this refi? Assume there are no costs to refinancing. State your answer as a number with two decomal points $($e$.$g$.$ if you get $$100,000\mathrm{.}683,$ write $100000\mathrm{.}68).$