You want to finance your new home with a $15$ year fixed rate mortgage. The APR is $4\%.$

You know the maximum monthly payment you can afford is $$2550.$ What is the maximum amount of mortgage loan you can take out? $($Hint: you need to figure which TVM element you need to calculate here$)$

You must round up your answer to integer. $($For example, if you answer is $530035\mathrm{.}67,$ you must write $530036)$