A 1-year forward contract on a non-dividend paying stock is entered into today when the stock is $40 and the risk-free rate is 10% p.a. a) What is the forward price today (time 0)? b) Six months later (time 0.5), the price of this stock is $45 and the risk-free rate is still 10% p.a., what is the forward price? c) Suppose you have a long position at time 0, what is the value of the contract if the stock price turns out to be 30 and 50 at maturity (time 1), respectively? d) Suppose you have a short position at time 0.5, what is the value of the contract if the stock price turns out to be 30 and 50 at maturity (time 1), respectively? e) Suppose you have both the long and short positions in Problems c) and d), what is the value of your positions if the stock price turns out to be 30 and 50 at maturity (time 1), respectively