Question
A mortgage originator has recently decided to pool 2,000 of its mortgages into a portfolio. The average value of each mortgage in the pool is
A mortgage originator has recently decided to pool 2,000 of its mortgages into a portfolio. The average value of each mortgage in the pool is $250,000, and the average interest rate is 4.80%. The mortgage originator plans to sell the mortgages to an investment bank, but it will continue to service the mortgages for a small fee (0.50% per year). The cash flows from the assets will be allocated to tranches. The investment bank plans to create a mortgage-backed security with only three tranches: a senior tranche, a mezzanine tranche, and an equity tranche. The principal from the portfolio of mortgages will be allocated as follows: 70% will go to the senior tranche (rated 'AAA' and earning 2.75%), 20% will go to the mezzanine tranche (rated 'A' and earning 3.75%), and the remainder will go to the equity tranche (rated 'CCC'). The investment bank plans to keep 0.80% per year as its share for the administration of the securitization process.
This information is summarized in the tables below. | |||||||
Number of mortgages | 2,000 | ||||||
Average mortgage value | $250,000 | ||||||
Average interest rate | 4.80% | ||||||
Mortgage originator fee | 0.50% | ||||||
Investment bank fee | 0.80% | ||||||
MBS Principal Allocation | Rate | ||||||
Senior tranche | 70.00% | 2.75% | |||||
Mezzanine tranche | 20.00% | 3.75% | |||||
Equity tranche | 10.00% | ||||||
What is the total value of the mortgage pool being sold to the investment bank? | ||||||
What is the total annual interest expense paid by the borrowers (those who took out mortgages to buy their homes)? | ||||||
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