You are borrowing $$250,000$ to buy a house, using a standard $30-$year mortgage. Your mortgage lender offers a $5\mathrm{.}50\%$ mortgage with no points, or a $5\mathrm{.}20\%$ mortgage with $1\mathrm{.}14$ points. You plan on living in the house for exactly X months, paying only the required payment each month, and without refinancing your mortgage. You find that you are indifferent between the two mortage options, using the $5\mathrm{.}50\%$ rate to discount cash flows between the two options. How many months are you planing on living in the house? Answer in months only, rounded to the nearest month.