A mortgage requires payments of $$1000\mathrm{.}00$ at the end of every month for twenty$-$five years. If interest is $6\%$ compounded semi$-$annually, calculate the principal of the loan. a$$156297\mathrm{.}23$ b$$155206\mathrm{.}86$ c$$46188\mathrm{.}41$ d$$300000\mathrm{.}00$ e$$33328\mathrm{.}64$