A home builder is offering $$100,000$ loans for his homes at $9$ percent for $25$ years. Current market rates are $9\mathrm{.}5$ percent for $25-$year loans. The home would normally sell for $$110,000$ without any special financing. At what price should the builder sell the homes to earn, in effect, the market rate of interest on the loan $($rounded to the nearest dollar$)?$ Assume that the buyer would have the loan for the entire $25$ years.