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You want to buy a condo in Toronto that costs $$579,000$ and have accumulated a $25\%$ down payment. The remainder is financed with a $15-$year mortgage over a $4-$year term which you have negotiated with a local financial institution. As you are a high risk borrower the best rate you can get is an APR of $6\mathrm{.}90\%$ compounded semi$-$annually with month$-$end payments. How much would you owe on the mortgage after your $48$th mortgage payment?

a$.$$$376,012$

b$.$$$357,615$

c$.$$$325,104$

d$.$$$508,920$

e$.$$$382,026$