A thin, uniform beam of mass \(M\) and length \(L\) is part of a rotating robotic arm. Initially, the beam rotates about an axis perpendicular to the beam that passes through its center of mass. The axis is then moved to a new position, also perpendicular to the beam, located at a distance \(d\) from the center of mass. Which of the following expressions correctly represents the ratio of the beam's moment of inertia about the new axis, \(I_{new}\), to its moment of inertia about the original axis, \(I_{old}\)?