A bullder Is offering $$113,787$ loans for his propertles at $9$ percent for $25$ years. Monthly payments are based on current market rates of $9\mathrm{.}5$ percent and are to be fully amortized over $25$ years. The property would normally sell for $$130,000$ without any special financing

Required:

a$.$ At what price should the bulder sell the propertles to earn, in effect, the market rate of interest on the loan? Assume that the buyer would have the loan for the entire term of $25$ years.

b$.$ At what price should the bullder sell the propertles to earn, in effect, the market rate of interest on the loan if the property is resold after $10$ years and the loan repald?