The appraisal won't be ordered until you have the house in contract, applied for your loan and lock in your rate. At the loan application you will be ask to put up some money to pay for your credit report and appraisal. Then the bank will order the appraisal. It will also depend on how far along the building process is of the new construction. Usually, the bank won't order the appraisal until the house is 85% complete.
If you are looking for a comparative market analysis, then you can ask your Realtor to run comps and see if that price you are thinking of offering is fair. A CMA is different than an appraisal.... more