Frank borrows $$250,000$ to purchase his retirement home. He is going to repay his loan with monthly payments of $$2,000$ with the first payment made one month after the loan. His lender provides Frank with the following options for his last payment: Make a drop payment of $1,272\mathrm{.}22$ Make a balloon payment of $3,267\mathrm{.}15$If Frank chooses the balloon payment option, how many payments will he need to make?A$173$B$174$C$175$D$176$ENone of the above$$