Scenario: $10$ years ago, Janice got a $$200,000,30-$year mortgage with an annual interest rate of $7\%$ and monthly payments.

What is her monthly payment?

How much does she owe today $($after $120$ payments$)?$

Janice is planning to move in $2$ years.

How much will she owe in $2$ years $($after $144$ payments$)?$

Option $1$: Janice is considering making an extra payment of $$250$ each month for the next $2$ years.

How much will she owe in $2$ years $($after $144$ payments$)$ if she makes an extra $$250$ payment every month starting with her next payment $($payment $121)?$

Option $2$: Janice is considering refinancing the remaining balance on her loan $($your answer to $2)$ along with $$3,000$ in closing costs into a new $20-$year mortgage with an annual interest rate of $4\%$ and monthly payments.

What would her monthly payment be with the new mortgage?

What would her monthly payment be with the new mortgage?

How much will she owe in $2$ years on her new mortgage?

Which option $(1$ or $2)$ do you think would be best?

Explain.