You purchase a house for $$1\mathrm{.}3$ million and take a mortgage for $$1\mathrm{.}05$ million which will be amortized over $30$ years. Your mortgage interest rate is fixed at $6\%$ compounded monthly for a $5-$year term and you will be making monthly payments. How much do you still owe at the end of the $5-$year term $($within $$1000)?$ Use the method that calculates your mortgage balance based on the payments you have already made $($as opposed to the payments you have remaining$).$