Fountain Corporations economists estimate that a good business environment and a bad business environment are equally likely for the coming year. The managers of the company must choose between two mutually exclusive projects. Assume that the project the company chooses will be the firms only activity and that the firm will close one year from today. The company is obligated to make a $3,500 payment to bondholders at the end of the year. The projects have the same systematic risk but different volatilities. Consider the following information pertaining to the two projects:

Economy Probability Low-Volatility Project Payoff High-Volatility Project Payoff

Bad .50 $3,500 $2,900

Good .50 3,700 4,300