Consider the following futures contract prices for crude oil: Maturity Futures price ($/barrel) 65.00 1 year 2 years 67.6 Assume that the crude oil futures contracts above are correctly priced and that there is no storage cost for crude oil. a) Required: Calculate the annual risk-free interest rate assuming a flat yield curve (same interest rates for all maturities). (2 marks) b) The 1-year futures contract price for S&P 500 is 3,000 while the current S&P 500 index value is 2,952. It is also known that the dividend yield on S&P 500 is 2% per year compounded annually. Assume that you can borrow and lend money at the rate (compounded annually) you calculated in part a). Also, you can buy and short sell the S&P 500 index now. Required: Design an arbitrage strategy and show that the strategy has a zero cost with a sure profit at the end of Year 1. Consider the following futures contract prices for crude oil: Maturity Futures price ($/barrel) 65.00 1 year 2 years 67.6 Assume that the crude oil futures contracts above are correctly priced and that there is no storage cost for crude oil. a) Required: Calculate the annual risk-free interest rate assuming a flat yield curve (same interest rates for all maturities). (2 marks) b) The 1-year futures contract price for S&P 500 is 3,000 while the current S&P 500 index value is 2,952. It is also known that the dividend yield on S&P 500 is 2% per year compounded annually. Assume that you can borrow and lend money at the rate (compounded annually) you calculated in part a). Also, you can buy and short sell the S&P 500 index now. Required: Design an arbitrage strategy and show that the strategy has a zero cost with a sure profit at the end of Year 1