A fully amortizing mortgage loan is made for $$90,000$ at $6$ percent interest for $25$ years. Payments are to be made monthly.

Required:

a$.$ Calculate monthly payments.

b$.$ Calculate interest and principal payments during month $1.$

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

d$.$ Calculate the outstanding loan balance if the loan is repaid at the end of year $10.$

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

f$.$ What would the breakdown of interest and principal be during month $50?$