You new job in Texas pays you $$120,000$ per year and you realize condo prices in Dallas are reasonable compared to anywhere on the East Coast. As a result, you decide to try to buy a condo rather than rent an apartment. Your real estate agent urges you to get pre$-$qualified for the most mortgage you can and introduces you to her boyfriend who happens to be a mortgage broker.

He explains that you can devote up to $43\%$ of your pre$-$tax income towards your total monthly payments. You identify your car payment of $$350$ per month, car insurance of $$50$ per month, student loan payments of $$300$ per month and budget that Condo fees will be $$200$ per month.

If $30$ year fixed rate mortgages are yielding $7\%,$ what is the most mortgage loan you can get?