Find the expected value of the company in one year


Question:

Sam McKenzie is the founder and CEO of McKenzie Restaurants, Inc., a regiona company. Sam is considering opening several new restaurants. Sally Thorton, the company's CFO, has been put in charge of the capital budgeting analysis. She has examined the potential for the company's expansion and determined that the success of the new restaurants will depend critically on the state of the economy next year and over the next few years.

McKenzie currently has a bond issue outstanding with a face value of $25 million that is due in one year. Convenants associated with this bond issue prohibit the issuance of any additinal debt. This restriction means that the expansion will be entirely financed with equity, at a cost of $9 million. Sally has summarized her analysis in the following table, which shows the value of the company in each state of the economy next year, both with and without expansion.

Economic Growth Probability Without expansion With expansion
Low .30 $20,000,000 $24,000,000
Normal .50 $34,000,000 $45,000,000
High .20 $41,000,000 $53,000,000

Q1. What is the expected value of the company in one year, with and without expansion? Would the company's stockholders be better off with or without expansion? Why?

Q2. What is the expected value of the company's debt in one year, with and without the expansion?

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Macroeconomics: Find the expected value of the company in one year
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