You borrow a $20-$year $$189,000$ mortgage loan at annual interest rate of $3\mathrm{.}98\%.$

a$)$ What is the monthly mortgage payment for your mortgage $($payment is made at the end of each month$)?$

b$)$ Find the amount of principal paid, interest paid, and the ending balance for the first month.

c$)$ Find the amount of principal paid, interest paid, and the ending balance for the last month $($i$.$e$.,$ month $240)$

d$)$ If you pay $$180$ more each month for principal payment in addition to the monthly payment you calculate in part $($a$),$ you can pay off the loan in how many years $($or months$)?$

e$)$ If you are allowed to pay bi$-$weekly, you can pay off the loan in how many years $($or months$)?$

Please show all work, try to avoid using an excel spreadsheet. Thanks