Five years ago you borrowed $200,000 to finance the purchase of a $240,000 house. The interest rate on the old mortgage is 6%.  Payment terms are being made monthly to amortize the loan over 30 years. You have found another lender who will refinance the current outstanding loan balance at 4% with monthly payments for 25 years. The new lender will charge two discount points on the loan.  Other refinancing costs will equal $6,000.  There are no prepayment penalties associated with either loan.  You feel the appropriate opportunity cost to apply to this refinancing decision is 4%.  Assume you plan to stay in the house for 25 years, is the refinance worth it?  What if you only plan to stay for an

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Five years ago you borrowed $200,000 to finance the purchase of a $240,000 house. The interest rate on the old mortgage is 6%.  Payment terms are being made monthly to amortize the loan over 30 years. You have found another lender who will refinance the current outstanding loan balance at 4% with monthly payments for 25 years. The new lender will charge two discount points on the loan.  Other refinancing costs will equal $6,000.  There are no prepayment penalties associated with either loan.  You feel the appropriate opportunity cost to apply to this refinancing decision is 4%.  Assume you plan to stay in the house for 25 years, is the refinance worth it?  What if you only plan to stay for another 5 years?

DO ON EXCEL

Current loan payment  
Current loan balance after 5 years
New loan payment  
Discount points  
Total refinance costs  
Payment savings  
Net benefit of refinance (25 years)
NPV of refinance (25 years)  
Net benefit of refinance (5 years)
NPV of refinance (5 years)  
   
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