A fully amortizing mortgage loan is made for $$91,000$ at $6$ percent interest for $25$ years. Payments are to be made monthly.

Required:

Calculate monthly payments.

Calculate interest and principal payments during month $1.$

Calculate total principal and total interest paid over $25$ years.

Calculate the outstanding loan balance at the end of year $10.$

Calculate total monthly interest and principal payments through year $10.$

Cacluate the breakdown of interest and principal in month $50.$