A $25-$year fixed$-$rate mortgage has monthly payments of $717$ per month and a mortgage interest

rate of $6\mathrm{.}14\%$ per year compounded monthly. If a buyer purchases a home with the cash proceeds of

the mortgage loan plus an additional $20\%$ deposit, what is the purchase price of the home? Assume

that the additional deposit amount is $20\%$ of the mortgage loan amount.