Yes. form Pub 550:
The cost of your home, whether you purchased it or constructed it, is the amount you paid for it, including any debt you assumed.
Purchase. The basis of a home you bought is the amount you paid for it. This usually includes your down payment and any debt you assumed. The basis of a cooperative apartment is the amount you paid for your shares in the corporation that owns or controls the property. This amount includes any purchase commissions or other costs of acquiring the shares.
