Use the interest rate tree below. The first number at each node is the 0.5-year rate at that node. The next number is the price of $1 par of a 0.5-year zero at that node. The next number, at the time 0 node, is the price of $1 par of a 1-year zero.

Time 0 Time 0.5 5.526% 0.973113 4.9% Interest Rate Model 0.976086 4.345% 0.952587 0.978737 Consider a 1-year semi-annual pay mortgage with a semi-annual mortgage rate of 5% and initial principal balance of $10,000. The mortgage is divided into two sequential pay tranches. Tranche A receives the first $5000 of principal, tranche B receives the next $5000 of principal, and both tranches receive interest on their outstanding principal each period. Time 0 Time 0.5 5.526% 0.973113 4.9% Interest Rate Model 0.976086 4.345% 0.952587 0.978737 Consider a 1-year semi-annual pay mortgage with a semi-annual mortgage rate of 5% and initial principal balance of $10,000. The mortgage is divided into two sequential pay tranches. Tranche A receives the first $5000 of principal, tranche B receives the next $5000 of principal, and both tranches receive interest on their outstanding principal each period