You plan to purchase a $$100,000$ house using a $1-$year mortgage obtained from your local credit union. The mortgage rate offered to you is $8\mathrm{.}25$ percent. You will make a down payment of $20$ percent of the purchase price.

a$)$ Calculate your monthly payments on this mortgage

b$)$ Calculate the amortization schedule for a $1-$year mortgage.

c$)$ Calculate the amount of interest paid over the life of this mortgage.