Consider a 1-year semi-annual interest rate collar with a 5.25% cap. What floor rate makes the collar worth zero?

1) Please 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% 0.976086 0.952587 Interest Rate Model 4.345% 0.978737