Q$-2.$ A condo in Vancouver, BC$,$ not far from the University of British Columbia campus, is priced at $$499,000$: You make a down payment of $$109,000.$ The rest is covered through a twenty$-$five$-$year fixed rate closed term mortgage arranged with the Toronto$-$Dominion Bank. TD Canada Trust quotes a rate of $2\mathrm{.}34\%$ on a closed five$-$year fixed rate mortgage.$$

part A$.$ using a five$-$year rate mortgage rate, estimate your monthly payments on a $25-$year mortgage.

part B$.$ estimate how much you will pay out in interest to service your mortgage throughout the life of the mortgage if interest rates do not change.

part C$.$ you keep repaying your mortgage for five years. After five years, you re$-$negotiate terms of your mortgage; quoted five$-$year interest rate is now $2\mathrm{.}60\%.$ What is the new mortgage payment?