Today is 1 July 2021. You are looking to purchase an investment property today (after months of research and negotiations). You have spoken to Peter, the loan specialist at Harrison Bank, to negotiate the terms of your mortgage. You and Peter have agreed to the following terms: You will borrow $420,000 today in order to purchase your chosen property. This mortgage will be repaid by level monthly repayments. Your first repayment to the bank will occur exactly 1 month from today, on 1 August 2021, and the final repayment will occur exactly 28 years from today, on 1 July 2049. Peter has arranged for an interest rate of 5.8% p.a. effective to be locked in for the life of this loan.

1. The first monthly repayment occurs on 1 August 2021, and the final monthly repayment occurs on 1 July 2049. How many repayments are there in this arrangement?

2. The interest rate for the loan is 5.8% p.a. effective. Calculate the equivalent nominal annual rate compounding monthly.

3. Calculate the equivalent effective monthly rate.

4. Calculate the size of the level monthly repayment needed in order to fully repay the loan by 1 July 2049.

5. Determine the value of L12.