The Pandeys were looking at buying a new house in Surrey. Their bank used the $32\%$ rule decided that they can afford a maximum monthly mortgage payment of $$2,500.$

How large of a mortgage would the bank authorize if the mortgage will be amortized over $25$ years, at $2\mathrm{.}79\%$ compounded semi$-$annually for a $5-$year term.

Question $4$ options:

$$540,498\mathrm{.}15$

$$60,660\mathrm{.}28$

$$139,911\mathrm{.}79$

$$1,080,491\mathrm{.}09$

$$160,701\mathrm{.}42$