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You have been living in the house you bought 9 years ago for $400,000. At that time, you took out a loan for 80% of

You have been living in the house you bought 9 years ago for $400,000. At that time, you took out a loan for 80% of the house at a fixed rate 20-year loan at an annual stated rate of 7.5%. You have just paid off the 108th monthly payment. Interest rates have meanwhile dropped steadily to 4.5% per year, and you think it is finally time to refinance the remaining balance over the residual loan life. There is a refinancing fee of 4000. How much do you save/lose if you refinance

No, lose $32,765.25

No, lose $36,765.25

Yes, gain $32,765.25

Yes, gain $36,765.25

I know how to get the saving per month which is $315.16. But my question has the following multiple choice answers, which I do not understand how to get. Even if I try to get the difference of the remaining amount I get $41,601.12. What I am missing?

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