1. Assume you have a $500,000,000 portfolio: 50% equity with a beta of 1.2, and 50% fixed income, corporate bonds, average credit quality of BBB, duration of 5. You wish to design a portfolio: 75% equity asset allocation, beta 1.6, fixed income 25% asset allocation, duration 3. The available futures are: equity index 2,000, multiplier 250, fixed income Tbond $100,000 par, 97 price, 2 duration. The simulation is that in one day the market appreciates by 1.5% and the interest rates fall by 1%. Provide the correct number of contracts and do a proof.