Jim has an annual income of $185,000. Jim is looking to buy a house with monthly property taxes of $140 and monthly homeowners insurance of $70. Jim has $178 in monthly student loan payments. Apple bank has a maximum front end DTI limit of 28% and a maximum back end DTI limit of 36%. Both limits must be satisfied. Apple bank is offering a fully amortizing 30 year FRM at an annual rate of 4%, with monthly payments, compounded monthly. Apple Bank allows a maximum LTV of 80%. How much is the most expensive house Jim can buy?