3. You enter into a short position in a one-year forward contract on a stock today when the stock price is $150, and the risk-free rate of interest is 2% per annum with continuously compounding for all maturities. This stock pays dividend of $1 per share in 3-month and in 9-month. (a) There is no arbitrage on the market. What are the forward price and the initial value of the forward contract? (4 points) (b) If six months later, the price of the stock is $148, the forward price for a 6-month forward contract on this stock is $151, and the risk-free interest rate is still 2% per annum with continuously compounding for all maturities. Is there an arbitrage opportunity? If yes, please specify your arbitrage strategy and cash flow. If no, please explain. (5 points) (C) If six month later, the price of the stock is $148 and there is no arbitrage on the market. What is the value of the forward contract you entered before? (3 points) 3. You enter into a short position in a one-year forward contract on a stock today when the stock price is $150, and the risk-free rate of interest is 2% per annum with continuously compounding for all maturities. This stock pays dividend of $1 per share in 3-month and in 9-month. (a) There is no arbitrage on the market. What are the forward price and the initial value of the forward contract? (4 points) (b) If six months later, the price of the stock is $148, the forward price for a 6-month forward contract on this stock is $151, and the risk-free interest rate is still 2% per annum with continuously compounding for all maturities. Is there an arbitrage opportunity? If yes, please specify your arbitrage strategy and cash flow. If no, please explain. (5 points) (C) If six month later, the price of the stock is $148 and there is no arbitrage on the market. What is the value of the forward contract you entered before? (3 points)