(a) The risk-free rate of interest is 1% per annum with continuous compounding, and the dividend yield on the index is 0.8 per annum. The current value of the index is 4175. (i) What should the futures price be for a 3 month contract? ( ii) if the actual futures price for the 3 month contract is observed to be 4178, how could an investor lock in profits based on index arbitrage?