5 years ago you took out a 30-year mortgage with a quoted interest rate of 4.5% per year

compounded semi-annually for $250,000. You decide to make monthly payments.

a) What is the amount of your mortgage payment? (2 marks)

b) What is the outstanding balance on your loan after the first 5 years? (1 mark)

c) How much interest have you paid over the first 5 years? (2 marks)

Now you are able to refinance the mortgage today at a quoted rate of 4.00% per year

compounded semi-annually.

d) If you keep your monthly payment the same as in a), how long will it take you to pay off your

mortgage? (1 mark)

e) How much interest will you pay over the remaining years of your mortgage now? (2 marks)

f) Instead you decide to make bi-weekly payments (one payment every two weeks) that are

exactly half of your monthly payment from part a). How long will it take you to pay off your

mortgage? (1 mark)

g) How much interest will you pay over the remaining years of your mortgage now? (1