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Consider a sequential pay CMO that is backed by 100 mortgages with average balance of $150,000 each. The mortgages have monthly payments with WAM =

Consider a sequential pay CMO that is backed by 100 mortgages with average balance of $150,000 each. The mortgages have monthly payments with WAM = 30 years and WAC = 6%. There is a servicing fee of 0.4% and prepayment is according to 150% PSA. Tranche A holds $6,000,000 of the mortgage pool principal at origination, tranche B holds $3,000,000 and tranche Z holds $5,000,000. The rest of the pool principal is held by the SPV as a residual. The SPV has set a pass-through rate (coupon rate net of the servicer/guarantee fee) of 4% for Tranche A, 4.5% for Tranche B and 5% for Tranche Z. What is tranche A's outstanding principal balance at the end of the first month (beginning of the second month)?

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