Boris has a mortgage for $464,635.00. The term of the mortgage is 4 years, and the amortization period is 20 years. Boris will make monthly payments and the mortgage rate is r⁽⁵²⁾ = 7.750%. After 3 years, the interest rate drops to 6.250% compounded weekly, and he decides to refinance his 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 Boris 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. What are the the new monthly payments?