Andre Wheeler wants to know what home price he can afford. His annual gross income is $$56,400.$ He has no other debt expenses and expects property taxes and insurance to cost $$340$ per month. He knows he can get a $10\mathrm{.}50$ percent, $15-$year mortgage so his mortgage payment factor is $11\mathrm{.}05.$ He expects to make a $20$ percent down payment. What is Andre's affordable home purchase price?

Note: Do not round intermediate calculations and round your final answer to the nearest $$100.$