You have a choice between the following two identical properties: Property A is priced at $$154,800$ with $80$ percent financing at a $10\mathrm{.}5$ percent interest rate for $20$ years. Property B is priced at $$164,800$ with an assumable mortgage of $$100,000$ at $9$ percent interest with $20$ years remaining. Monthly payments are $$899\mathrm{.}73.$ A second mortgage for $$23,200$ can be obtained at $13$ percent interest for $20$ years. All loans require monthly payments and are fully amortizing.Required:What is the return to the borrower on the additional $$100,000$ down payment for Alternative B$?$ Which alternative is more desirable?If the seller of Alternative B provided a second mortgage for $$23,200$ at $9$ percent, what would be the return to the borrower on the additional $$100,000$ down payment? Which alternative is more desirable?If the seller of Property B provided a second mortgage for $$33,200$ at $9$ percent such that no additional down payment is required, which alternative is more desirable?