4. Acme Industries is considering building a plant that will have a value after two years. The cash flows from the plant will be $200 million following two good years, $150 million following one good and one bad year, and $100 million following two bad years. The initial cost of the plant is $140 million. After one year, however, the firm has options to change the plant's capacity. Specifically, the firm has an expansion option to double the capacity by investing another $140 million. The firm also has a contraction option to halve the capacity by liquidating half of its assets to receive a salvage value of $60 million. Assume that the risk-free interest rate is 5% per year and that $1 invested in the market portfolio today will be worth either $1.3 (if the economy is good) or $0.8 (if the economy does poorly). Compute the value of building the plant. 4. Acme Industries is considering building a plant that will have a value after two years. The cash flows from the plant will be $200 million following two good years, $150 million following one good and one bad year, and $100 million following two bad years. The initial cost of the plant is $140 million. After one year, however, the firm has options to change the plant's capacity. Specifically, the firm has an expansion option to double the capacity by investing another $140 million. The firm also has a contraction option to halve the capacity by liquidating half of its assets to receive a salvage value of $60 million. Assume that the risk-free interest rate is 5% per year and that $1 invested in the market portfolio today will be worth either $1.3 (if the economy is good) or $0.8 (if the economy does poorly). Compute the value of building the plant