Problem 2 (20 points): Benjamin Johnson owes $450,786.70 in his home mortgage. He has decided to refinance his existing mortgage into a Chase Bank Mortgage. Chase charges 3 point in closing costs. That is, Benjamin's new mortgage with Chase Bank will equal to his current mortgage, plus 3% of that amount. Because this new mortgage has a much lower interest rate than most of Benjamin's current mortgage, he's considering refinancing. The APR associated with the Chase Bank mortgage is 3.5%, compounded monthly. a. [2 pts] Assume Benjamin goes through with the refinancing. How much will Benjamin pay monthly to to Chase card if he wants to pay off the mortgage in 30 years? b. [4 pts] Suppose Benjamin decides that he can afford to make payments of $2,450 per month (not the answer to part a). How many months will this reduce from his repayment timeline? c. [4 pts] How much more less interest will Benjamin pay over the lifetime of the loan if he chooses to pay $2,450/month rather than the answer from part a?