Fountain Corporationâs economists estimate that a good business environment and a bad business environment are equally likely for the coming year. The managers of Fountain must choose between two mutually exclusive projects. Assume that the project Fountain chooses will be the firmâs only activity and that the firm will close one year from today. Fountain is obligated to make a $3,700 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 $ 3,700 $ 3,100 Good .50 4,000 4,600
a. What is the expected value of the firm if the low-volatility and high-volatility project is undertaken?
b. What is the expected value of the firmâs equity if the low-volatility and high-volatility project is undertaken?
c. Which project would Fountainâs stockholders prefer?
d. Suppose bondholders are fully aware that stockholders might choose to maximize equity value rather than total firm value and opt for the high-volatility project. To minimize this agency cost, the firm's bondholders decide to use a bond covenant to stipulate that the bondholders can demand a higher payment if Fountain chooses to take on the high-volatility project. What payment to bondholders would make stockholders indifferent between the two projects?
| Fountain Corporationâs economists estimate that a good business environment and a bad business environment are equally likely for the coming year. The managers of Fountain must choose between two mutually exclusive projects. Assume that the project Fountain chooses will be the firmâs only activity and that the firm will close one year from today. Fountain is obligated to make a $3,700 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 | $ 3,700 | $ 3,100 |
| Good | .50 | 4,000 | 4,600 |
a. What is the expected value of the firm if the low-volatility and high-volatility project is undertaken?
b. What is the expected value of the firmâs equity if the low-volatility and high-volatility project is undertaken?
c. Which project would Fountainâs stockholders prefer?
d. Suppose bondholders are fully aware that stockholders might choose to maximize equity value rather than total firm value and opt for the high-volatility project. To minimize this agency cost, the firm's bondholders decide to use a bond covenant to stipulate that the bondholders can demand a higher payment if Fountain chooses to take on the high-volatility project. What payment to bondholders would make stockholders indifferent between the two projects?
