Say that you purchase a house for $$200,000$ by getting a mortgage for $$180,000$ and paying a $$20,000$ down payment. If you get a $30-$year mortgage with a $7$ percent interest rate, what are the monthly payments? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

What would the loan balance be in ten years? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

If the house appreciates at $3$ percent per year, what will be the value of the house in ten years? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

How much of this value is your equity?