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There is $150 million of a 20-year mortgage with a coupon payment of 4.5% per year and paid monthly. Construct 3 tranches of A with

  1. There is $150 million of a 20-year mortgage with a coupon payment of 4.5% per year and paid monthly. Construct 3 tranches of A with a coupon payment of 3.5% per year and least prepayment protection, B with a coupon payment of 4.5% per year, and C with equal amount of $50 million and the most prepayment protection. What is the coupon payment of Tranche C so that the mortgage above could be used as a collateral against the monthly payments of these three tranches?

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