Suppose you take out a 35​-year ​$300 comma 000 mortgage with an APR of 6​%. You make payments for 2 years ​(24 monthly​ payments) and then consider refinancing the original loan. The new loan would have a term of 15 ​years, have an APR of 5.7​%, and be in the amount of the unpaid balance on the original loan.​ (The amount you borrow on the new loan would be used to pay off the balance on the original​ loan.) The administrative cost of taking out the second loan would be ​$2400. Use the information to complete parts ​(a) through​ (e) below.
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Part 1
a. What are the monthly payments on the original​ loan?
​$

enter your response here ​(Round to the nearest cent as​ needed.)
Part 2
b. A short calculation shows that the unpaid balance on the original loan after 2 years is ​$294 comma 644.82​, which would become the amount of the second loan. What would the monthly payments be on the second​ loan?
​$

enter your response here ​(Round to the nearest cent as​ needed.)
Part 3
c. What would be the total amount you would pay if you continued with the original 35​-year loan without​ refinancing?
​$

enter your response here ​(Round to the nearest cent as​ needed.)
Part 4
d. What would be the total amount you would pay with the​ refinancing?
​$

enter your response here ​(Round to the nearest cent as​ needed.)
Part 5
e. Compare the two options and decide which one you would choose. What other factors should be considered in making the​ decision?
The best option would be to

refinance the loan,
continue paying the original loan,
assuming that you can afford the monthly payments.