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Imagine you purchase a house valued at $ 5 0 0 , 0 0 0 . You pay $ 3 0 , 0 0 0

Imagine you purchase a house valued at $500,000. You pay $30,000 of down-payment
and get a $470,000 closed floating rate mortgage, having a three-year term and
amortized over 25 years. Although the interest rate on the mortgage would change, your
monthly payments would remain fixed for the term. Monthly payments would be
calculated based on APR of %4.8 compounded monthly and amortization period of 25
years. The actual amount of the interest accrued will be deducted from your fixed monthly
payments and the rest would be used for principal repayment. Now, assume that the
floating rate itself is 4.8% for the first 6 months, then suddenly jumps to 6% for the next
12 months, then drops to 3.6% for the next 6 months, and then declines to 2.4% for the
final 12 months. Note that all rates are quoted as an APR and compounded monthly.
Remember that you need to buy a CMHC insurance for your mortgage.
Part A: How much money do you owe (i.e. what is the outstanding balance) after 18
months?
Part B: How much interest did you pay over the term of the mortgage? How much was
principal?
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