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ABC Bank originates a pool of containing 100 three-year fixed-rate mortgages with loan amount of $100,000 each. All mortgages in the pool carry a rate

ABC Bank originates a pool of containing 100 three-year fixed-rate mortgages with loan amount of $100,000 each. All mortgages in the pool carry a rate of 6% with annual payments. The servicing fee is charged 0.5%. ABC Bank would like to sell the pool to investors via Mortgage Pass Through (MPT) security. Suppose that 100,000 shares will be issued and the market interest rate is 5.5%.

What is the price of each share of the MPT if there are a constant prepayment rate of 1.5% each year and no default?

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