You have just purchased a 6-month forward contract on a stock that will pay dividend of $1.50 two months and five months from today. The current stock price is $54.60 and the current risk-free interest rate is 8% per annum with continuous compounding. (a) Calculate the forward price and the value of the 6-month forward contract. (b) Four months later, the price of the stock has increased to $68.25, the risk-free rate is 8.5% per annum with continuous compounding. You decide to close out the position on the forward contract. Calculate the new forward price and current value of the 6-month forward contract. Calculate your total profit on the forward contract transactions (c) Calculate the profit on similar futures transactions