1) Suppose the 180-day S&P 500 futures price is 1,406.27, while the cash price is 1,392.91. What is the implied dividend yield on the S&P 500 if the risk-free interest rate is 5.4 percent?
2) Suppose you want to hedge a $160 million bond portfolio with a duration of 5.1 years using 10-year Treasury note futures with a duration of 6.6 years, a futures price of 105, and 6 months to expiration. The multiplier on Treasury note futures is $100,000.
How many contracts do you buy or sell? (Do not round intermediate calculations. Round your answer to the nearest whole number.)