Question: You are borrowing $250,000 to buy a house, using a standard, 30-year mortgage. Your mortgage lender offers a 5.50% mortgage with no points, or

You are borrowing $250,000 to buy a house, using a standard, 30-year mortgage. Your mortgage lender offers a 5.50% mortgage with no points, or an X% mortgage with 0.80 points. You plan on living in the house for exactly 31 months, paying only the required payment each month, and without refinancing your mortgage. What rate for the mortgage with points will make you indifferent between the two mortgages? Calculate a nominal rate, with monthly compounding. Use the 5.50% rate to discount cash flows between the two options. Note: all rates in the problem are nominal annual rates with monthly compounding. Recall, 1 point is 1% of the mortgage. Enter your answer in decimal format, to 4 decimal places, truncated. For example, if your answer is 5.518%, answer "0.0551".

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