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Consider a primary mortgage market lender who has just now originated 1,000 30-year, monthly payment loans for $800,000 each at 5.25% interest with each borrower

Consider a primary mortgage market lender who has just now originated 1,000 30-year, monthly payment loans for $800,000 each at 5.25% interest with each borrower paying 1 point at origination. The lender wishes to sell the pool of mortgages as a mortgage pass through security (MPTS). Investors are demanding a 4.875% yield on the MPTS backed by the pool. A servicing firm is willing to service the loans in the pool for 0.5% annually (paid monthly) and the pool is expected to prepay based on the 100% PSA prepayment model. What is the market value of the pool?

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