You plan to purchase a $$200,000$ house using a $30-$year mortgage obtained from your local credit union. The mortgage rate offered to you is $6\mathrm{.}50$ percent. You will make a down payment of $20$ percent of the purchase price. $($LG $7-4)$

a$.$ Calculate your monthly payments on this mortgage. Pmt$=1011\mathrm{.}308834$

b$.$ Construct the amortization schedule for the first six $($payments$.$ beg ballance $,$payment $,$intrest $,$princpal, end ballance$)$