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FreddieMac reports that the average rate on a 30-year fixed rate mortgage is 3.9

ID: 2447263 • Letter: F

Question

FreddieMac reports that the average rate on a 30-year fixed rate mortgage is 3.92% as of January 2012. This is down from 5.03% in January 2011 and 5.03% in January 2010. If you have a $224,000, 5%, 30-year mortgage, how much interest will you save if you refinance your loan at 3.5% for 20 years?

FreddieMac reports that the average rate on a 30-year fixed rate mortgage is 3.92% as of January 2012. This is down from 5.03% in January 2011 and 5.03% in January 2010. If you have a $224,000, 5%, 30-year mortgage, how much interest will you save if you refinance your loan at 3.5% for 20 years?

Explanation / Answer

$224,000, 5%, 30-year mortgage

Annual Payment = pmt(rate,nper,pv,fv)

Annual Payment = pmt(5%,30,-224000,0)

Annual Payment = $ 14571.52

if you refinance your loan at 3.5% for 20 years

Annual Payment = pmt(rate,nper,pv,fv)

Annual Payment = pmt(3.5%,20,-224000,0)

Annual Payment = $ 15760.88

Total Interest Saving = Total Payment of 30 Year Mortgage - Total payment at refinance

Total Interest Saving = 14571.52*30 - 15760.88*20

Total Interest Saving = $ 121,928

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