Question
Mr. Lee, who is a potential mortgagor, comes to you seeking a 750,000 fixed-rate mortgage loan, to be originated today, in order to purchase a
Mr. Lee, who is a potential mortgagor, comes to you seeking a 750,000 fixed-rate mortgage loan, to be originated today, in order to purchase a local home currently listed for $1,000,000.00. Based on her credit record and this collateral, you offer her an announced annual mortgage rate of r=5% fixed over the life of the loan, with a renewable term of 5 years and an amortization period of 25 years. She would consider an interest-only mortgage or constant coupon payment mortgage which has a Zero balance at the end of 25 years.
Prior to deciding, she asks you to show her samples of the respective monthly interest and amortization portions of the coupon payment, as well as the total monthly coupon payment itself, for each of the two types of mortgage she would consider. She also wants to know the initial balance of each mortgage if she could renew it on the same terms after her 60th coupon payment (that is her first coupon payment on the renewed mortgage would occur 61 months from today, once she has paid all required coupon payments at the end of the 5th year of their maturities.)
Assuming the sample payments she wishes to see are those she would pay in the 30th and 60th months of her mortgage, calculate the interest, amortization and total coupon payments owed in the 30th and 60th months of the mortgage, for the two alternative types of amortization she wants to consider:
Please answer the following questions in detailed calculations.
A) The mortgage with a constant payment amortization schedule over 25 Years
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