Question

Fountain Corporation economists estimate that the probability of a good business environment next year is equal...

Fountain Corporation economists estimate that the probability of a good business environment next year is equal to the probability of a bad environment. Knowing this, the managers of Fountain must choose between two mutually exclusive projects. Suppose the payoff from the chosen project is the only future cash flow expected by the firm. (The firm will cease to exist after the payoff from the project.) Fountain is obliged to make a $500M payment to its bondholders next year. Here is a description of the projects:

Probability

Project 1 Payoff

Project 2 Payoff

Boom

0.5

500M

100M

Recession

0.5

700M

800M

Which project would maximize the total value of the firm? Which project would shareholders prefer? Please provide explanations and calculations.

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