Part B ONLY, dont use chatgpt

3. Consider three bonds with short, medium, and long maturities whose features are summarized in the following table: Fixed Income Securities - Tutorial Questions Page 12 of 16 Assume bond prices are dirty prices and there is a flat yield-to-maturity curve. We structure a butterfly in the following way: - We sell 10,000 10-year bonds; - We buy q 12 -year bonds and q230-year bonds. a. Determine the quantities q1 and q2 so that the butterfly is cash and $ Duration neutral. b. What is the P\&L of the butterfly if the yield-to-maturity curve goes up to a 7% level? And down to a 5% level? c. Draw the P\&L of the butterfly depending on the value of the yield to maturity