Consider a firm that expects to sell 10 million barrels of oil at the cash market price in one year. It wants its CaR to be at most $5M. The price for a barrel of oil today is $15 with a one year standard deviation of $2. a) What is the current CaR for the firm? b) Assume the firm can enter into a forward contract to sell oil forward. The forward price is $16 a barrel. How many barrels must the firm sell forward to reduce its CaR to $5M? c) Assume there is a futures contract which trades on a different grade of oil than this firm produces. You are told the slope of the regression line of the changes in the future price against changes in the spot price in the firm's grade of oil is 0.90. 1. What is the minimum-volatility hedge? 2. Assume the futures contract requires delivery of 20,000 barrels of oil. How many futures contracts should the firm engage in to achieve the minimum volatility hedge? Consider a firm that expects to sell 10 million barrels of oil at the cash market price in one year. It wants its CaR to be at most $5M. The price for a barrel of oil today is $15 with a one year standard deviation of $2. a) What is the current CaR for the firm? b) Assume the firm can enter into a forward contract to sell oil forward. The forward price is $16 a barrel. How many barrels must the firm sell forward to reduce its CaR to $5M? c) Assume there is a futures contract which trades on a different grade of oil than this firm produces. You are told the slope of the regression line of the changes in the future price against changes in the spot price in the firm's grade of oil is 0.90. 1. What is the minimum-volatility hedge? 2. Assume the futures contract requires delivery of 20,000 barrels of oil. How many futures contracts should the firm engage in to achieve the minimum volatility hedge