Assume a company runs a plant for which the value one year from now is either $1,000 if market growth is positive or $250 if market growth is...

"3. Assume a company runs a plant for which the value one year from nowis either $1,000 if market growth is positive or $250 if market growth isnegative. The probability of positive market growth is 60%, and the probabilityis 40% for negative market growth. At any time, the company canchoose to close the plant and collect the scrap value of $285 if scrappedtoday or $300 if scrapped in one year. The cost of capital for the plant is 10%and the risk-free rate is 5%. Estimate the value of the plant using the standardNPV, decision tree analysis (DTA), and real-option valuation (ROV)valuation models. Explain the differences in results."