Question: (30 points total) You obtained a fully amortizing mortgage 5 years ago for $135,000 at 4.25% for 30 years. Mortgage rates have dropped so that
(30 points total) You obtained a fully amortizing mortgage 5 years ago for $135,000 at 4.25% for 30 years. Mortgage rates have dropped so that a fully amortizing 25-year loan can be obtained for 3.50%. There is no prepayment penalty on the mortgage balance of the original loan, but 2 points will be charged on the new loan (i.e., 2% of the OLB) and other closing costs will be $2,000. All payments are monthly.
a. (8 points) Calculate the IRR of refinancing if you plan to be in the home for the remaining loan term (i.e., 25 years). What should you do and why?
b. (10 points) Calculate the NPV of refinancing (using the uncompounded effective borrowing cost on the new loan as a discount rate) if you plan to be in the home for the remaining loan term (i.e., 25 years). What should you do and why?
c. (12 points) Calculate the IRR of refinancing if you plan to be in the home for only five more years? What should you do and why? Just assume the original 2% fee plus $2,000 in other closing costs.
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