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Five years ago you originated a $50,000 mortgage loan at 12% for 30 years with monthly compounding. Because rates are currently 10%, you are considering

Five years ago you originated a $50,000 mortgage loan at 12% for 30 years with monthly compounding. Because rates are currently 10%, you are considering refinancing the unpaid mortgage balance of your existing loan for 25 years with monthly compounding. Your current loan has a 2% prepayment penalty and the new lender will charge you $1,000 in refinancing costs. Assume your opportunity cost of capital equals 12%. Should you refinance if the new loan is held to maturity?

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