J&R Construction Company is an international conglomerate with a real estate division that owns the right to erect an office building on a parcel of land in downtown Sacramento over the next year. This building would cost $15 million to construct. Due to low demand for office space in the downtown area, such a building is worth approximately $13.5 million today. If demand increases, the building would be worth $16.8 million a year from today. If demand decreases, the same office building would be worth only $12 million in a year. The company can borrow and lend at the risk-free annual effective rate of 6 percent. A local competitor in the real estate business has recently offered $728,000 for the right to build an office building on the land. What is the value of the office building today? Use the two-state model to value the real option. (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)

Microeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506893
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter14: Investment, The Capital Market, And The Wealth Of Nations
Section: Chapter Questions
Problem 9CQ
Question

J&R Construction Company is an international conglomerate with a real estate division that owns the right to erect an office building on a parcel of land in downtown Sacramento over the next year. This building would cost $15 million to construct. Due to low demand for office space in the downtown area, such a building is worth approximately $13.5 million today. If demand increases, the building would be worth $16.8 million a year from today. If demand decreases, the same office building would be worth only $12 million in a year. The company can borrow and lend at the risk-free annual effective rate of 6 percent. A local competitor in the real estate business has recently offered $728,000 for the right to build an office building on the land. What is the value of the office building today? Use the two-state model to value the real option. (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)

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