The bank offers you a $20$ year mortgage for $$200,000$ at an interest rate of $8\%.$ The

term of the mortgage is $5$ years.

a$)$ What are your monthly payments?

b$)$ How much of the $30$th payment is applied to interest? How much to principal?

c$)$ Under the monthly payment schedule, what do you still owe after $5$ years?

d$)$ If you make payments every $2$ weeks instead, what are your payments?

e$)$ Under the biweekly payment schedule, how much do you owe after $5$ years?