The price of a home is $$140,000.$ The bank requires a $15\%$ down payment. The buyer is offered two mortgage options: $15-$year fixed at $8\%$ compounded monthly, or $30-$year fixed at $8\%$ compounded monthly.

Part $2$: Calculate the total amount of interest paid for the $15-$year option.

Select the correct answer below:

Responses

$$85,701\mathrm{.}40$

$$98,281\mathrm{.}60$

$$112,427\mathrm{.}80$

$$84,369\mathrm{.}40$