Problem 1. (Arbitrage, 9 ) Two parties enter a stock forward at time t=0 that expires at t=T. The underlying stock pays a stream of dividends at a known and constant dividend yield . The risk-free rate is a known constant r. Use continuous compounding. (a) Suppose I want to have one share of the stock at time T by buying some stocks at time 0 and hold them. How many shares of the stock shall I buy at t=0 ? (Assume I am allowed to trade a fraction of a share.) (3')