A forward contract on a stock is struck at time t so that no money is exchanged initially. The forward price is F, to be delivered at time T. However, there will be a dividend paid out by the stock at time td. What is known is that the dividend will be a known percentage, d, of the stock price. The dividend size, dS(td), depends on the unknown future stock price and so it is a random variable. Use a no arbitrage argument to determine the forward price F;