Part 2: Hedging with Interest Rate Swaps In this part, we want to extend the discussion of hedging with interest rate swaps that we liscussed in class. Let us suppose that we are considering using the 2-year interest rate swap n Part 1 to hedge interest rate risk. Suppose also that you have a liability where you have to pay $100 every six months for the next two years. Use the same term structure of interest rates as the start of Part 1. 1. Calculate the value and modified duration of your liability. 2. If you want to enter into the two-year interest rate swap contract from Part 1 to hedge against this liability, do you want to enter into floating-for-fixed or fixed-for-floating? Explain why. Hint: Start by writing down the liability from Q1 on a balance sheet. If interest rates decrease, the value of your liability will increase. You will want to choose your interest rate swap position to offset this increase. 3. Solve for how much of the interest rate swap contract to enter into. Hint: On one side of the balance sheet, you will write down $x in a fixed coupon bond. On the other side, you will write down $x of a floating rate bond. You already have their MD's from Part 1. Then, all you need to do is set-up an MD equation like you did earlier in the course and solve