Goldman Sachs uses that fixed-rate coupon bond to create a floating-rate note with the following coupon: Current Spot Rate + 300 basis points. Assuming an interest-rate volatility of 10%, estimate the value of this Floating Rate Note. For this, you will have to 1) calibrate a binomial tree based on the given yields-to-maturity for the par bonds, 2.a.) use the future expected spot rates found in the tree to compute the actual coupon rates paid at reset at every node, that is, for example, at the RL node, you can set the coupon to be paid as R1,L + 300 basis points to determine the coupon that will be paid at time 2, 2.b.) for future nodes that can be reached from 2 different prior nodes, the expected coupon paid is the weighted average of the coupon determined at prior reset time, 3) discount the present value of the cash flows of the bond as we did in the callable bond examples. (30 points)