Which of the following statements is false?

A$.$

A controlled group of corporations must file a consolidated return.

B$.$

In addition to regular income tax, a corporation may be liable for accumulated earnings tax if it accumulates profits instead of distributing them to shareholders.

C$.$

In addition to regular income tax, a corporation may be liable for personal holding company tax if a significant portion of its income is dividends, interest, rents, and royalties.

D$.$

Generally, a personal service corporation is one that furnishes personal services performed by employee$-$owners.