Firm M's earnings and stock price tend to move up and down with other firms in the S&P 500, while Firm W's earnings and stock price move counter cyclically with M and other S&P companies. Both M and W estimate their costs of equity using the CAPM, they have identical market values, their standard deviations of returns are identical, and they both finance only with common equity. Which of the following statements is CORRECT?
a. M and W should have identical WACCs because their risks as measured by the standard deviation of returns are identical.
b. M should have the lower WACC because it is like most other companies, and investors like that fact.
c. If M and W merge, then the merged firm MW should have a WACC that is a simple average of M's and W's WACCs.
d. Without additional information, it is impossible to predict what the merged firm's WACC would be if M and W merged.
e. Since M and W move counter cyclically to one another, if they merged, the merged firm's WACC would be less than the simple average of the two firms' WACCs.
please give me why