73. A 30-year, variable-rate mortgage offers a first-year teaser rate of 2%. During the second year, interest rate jumps to 4.5% and during the third year, it goes up to 6.5%. We are not concerned about what happens after the third year to make things short and easy. If the mortgage is for $250,000, what is the monthly payment during the first year? Second year? Third year?

12. Amortized loans Mortgages and other amortized loans (meaning equal or blended payments) involve regular payments at fixed intervals. These are sometimes called reverse annuities, because you get a lump-sum amount as a loan in the beginning, and then you make the periodic payments (usually monthly or more frequently, depending on the agreement) to the lender. You've decided to buy a house that is valued at $1 million. You have $400,000 to use as a down payment on the house, and you take out a mortgage for the rest. Your bank has approved your mortgage for the balance amount of $600,000 and is offering you a 25-year mortgage with 12% fixed nominal interest rate (called the APR, or Annual Percentage Rate) compounded semiannually. According to this proposal, what will be your monthly mortgage payment? OOO $7,740 $6,192 $8,359 $9,598 Your friends suggest that you take a 15-year mortgage, because a 25-year mortgage is too long and you will lose a lot of money on interest. If your bank…

You took out a $200,000 mortgage for 30 years. The contract rate is tied to the one-year U.S. treasury rate (index rate). The fixed risk premium for your mortgage is 9%. Your interest rate will be adjusted every year. For the first year, the index rate is 1.5%. What is the outstanding principal at the end of year 1? $95,758 $198,999 $197,769 $96,726

Imagine you get a $450,000 closed floating rate mortgage (no CMHC needed) 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 4.2% 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 3% for the final 12 months. Note that all rates are quoted as an APR and compounded monthly. 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?