You and your spouse have decided it is time to purchase a home. You have a total of $$10,723$ that you can use for a down payment and closing costs. Since you will not be paying rent, you will have $$1,070$ in your budget to pay a mortgage. Your agent tells you that total closing costs will be $$2,000.$ Your monthly escrow for taxes and insurance will be $$150$ in addition to your mortgage payment. You will qualify for a $30$ year mortgage at $6\mathrm{.}5\%.$ What is the maximum you can pay for your new home?