4. Problem on equity forward: I. Calculate the no-arbitrage forward price for a 50-day forward on a stock that is currently priced at $30.00 and is expected to pay a dividend of $0.40 in 30 days, $0.40 in 90 days, and $0.50 in 180 days. The annual risk-free rate is 5% and the yield curve is flat. II. Find the value of the contract to the long position at initiation. III. Find the value of the contract to the long position 40 days after the initiation, if the value of the stock is $34 on day 40 . Assume that the annual risk-free rate is still 5% and the yield curve is flat. IV. Find the value of the contract to the long position at expiry, i.e., on day 50 when the value of the stock is $35. 4. Problem on equity forward: I. Calculate the no-arbitrage forward price for a 50-day forward on a stock that is currently priced at $30.00 and is expected to pay a dividend of $0.40 in 30 days, $0.40 in 90 days, and $0.50 in 180 days. The annual risk-free rate is 5% and the yield curve is flat. II. Find the value of the contract to the long position at initiation. III. Find the value of the contract to the long position 40 days after the initiation, if the value of the stock is $34 on day 40 . Assume that the annual risk-free rate is still 5% and the yield curve is flat. IV. Find the value of the contract to the long position at expiry, i.e., on day 50 when the value of the stock is $35