Overseas bank is pooling $50$ similar and fully amortized mortgages into a pass$-$through security. The face value of each mortgage is $$100,000$ paying $180$ monthly interest and principal payments at a fixed rate of $9$ percent per annum.For the irst monthly payment, what are the interest and principal portions of the payment?$$45,500$ interest and $$29,378$ principal.$$45,500$ interest and $$13,213$ principal.$$37,500$ interest and $$13,213$ principal.$$37,500$ interest and $$29,378$ principal.