A one-year long forward contract on a dividend-paying stock is entered into when the stock price is $40 and the risk-free rate of the interest is 10% per annum with the continuous compounding. The stock will pay a dividend of $2 in 3, 6, 9, 12 month.(a) What are the forward price and the initial value of the forward contract?(b) Six months later, the price of the stock is $45 and the risk-free interest rate is still 10%. Whatare the forward price and the value of the forward contract?