Armita has a mortgage for $632,433.00. The term of the mortgage is 4 years, and the amortization period is 20 years. Armita will make monthly payments and the mortgage rate is $r^{(2)} = 3.750\%$. After 2 years, the interest rate drops to 2.250% compounded semi-annually, and she decides to refinance her loan. In order to refinance, she has to pay a penalty of 3 months interest (based on the original interest rate), which is added to the outstanding balance on the new mortgage.
a) What is the outstanding balance at the time Armita decides to refinance (not including the penalty)? $
$
b) What is the amount of the penalty? $
$
c) The new mortgage has exactly the same terms (term, amortization period, etc.) as the original mortgage except for the amount and the interest rate. The new mortgage is for the old outstanding balance plus the penalty. What are the the new monthly payments? $