The Green Bank originates a pool of containing 100 30-year fixed-rate mortgages with loan amount of $250,000 each.All mortgages in the pool carry a rate of 6.5% withmonthly payments. The servicing fee is0.05%each month. The Green Bank would like to sell the pool to investors via IO/PO Strips. Suppose that they issue 150,000 shares of IO/PO Strips and the market interest rate is 6%.

Questions

1. [3 points]Assume that there are no prepayment and no default, how much an investor would like to pay for each share of the IO/PO Strips?
2. [3 points]What is the price of each share of the IO/PO Strips if there are a constant prepayment rate of 1.5% every month and no default?
3. [3 points]What is the price of each share of the IO/PO Strips if there are a constant default rate of 1.5% every month (assuming the recovering rate is 50%) and no prepayment?
4. [1 points]Please briefly discuss your findings.