Smith holds a long position for a Stock index futures contract which is four months from maturity. A stock index currently stands at 350. The risk-free interest rate is 8% per annum (with continuous compounding) and the dividend yield on the index is 4% per annum.
a) What should the futures price for a four-month contract be?
b) Suppose one month later the stock price is 351. The dividend yield and index are the same. What is the value of the contract now?