Final answer:
The proposed new project would have more stand-alone risk than the firm's typical project due to its higher standard deviation and coefficient of variation, despite its countercyclical sales pattern.
Step-by-step explanation:
When assessing a new project's impact on a company's risk, there are a few types of risk to consider. Corporate risk pertains to the risks that affect the firm's overall earnings variability. Market risk is associated with the volatility in a company's stock price in relation to the overall market, often measured by beta. A firm's beta of 1.0 indicates that its stock price has historically moved with the market.
Given that Wansley Enterprises already has a beta of 1.0, its financial performance is positively correlated with the economy. However, the proposed new project has a countercyclical sales pattern, meaning its sales would be higher when the economy is down and lower when the economy is strong.
This dynamic could potentially stabilize the company’s earnings throughout different economic cycles, reducing the firm's corporate risk. However, the new project is described as having a higher standard deviation and coefficient of variation, which indicates higher stand-alone risk compared to the firm's typical project.
Therefore, the correct answer to the student's question is 'e. the proposed new project would have more stand-alone risk than the firm's typical project', because it has a higher standard deviation and coefficient of variation, notwithstanding its countercyclical nature.