$2.$ A $$100,000$ mortgage loan at $10\mathrm{.}00\%$ on a $25-$year amortization schedule has been performing well. However, it is now $10$ years later and interest rates have risen to $12\mathrm{.}00\%.$ The Bank that holds the mortgage loan wants to sell it and they are willing to take a discount. How much is the loan worth if you wanted to purchase it today?