Sampling animation clip

Out of necessity, I need to set the animation type on a specific mesh to Legacy.

Here is some example code:

Code (csharp):

1.     private const float FramesPerSecond = 50f;
2.     private float numFramesElapsed;
3.     private float numTotalFramesInMovementClip;
4.  
5.     public GameObject AnimatedMesh;
6.     public AnimationClip MovementClip;
7.  
8.     private void Awake()
9.     {
10.        this.numTotalFramesInMovementClip = this.MovementClip.length * FramesPerSecond;
11.     }
12.  
13.     private void Update()
14.     {
15.        if (this.numFramesElapsed <= this.numTotalFramesInMovementClip)
16.        {
17.            this.MovementClip.SampleAnimation(this.AnimatedMesh, this.numFramesElapsed / this.numTotalFramesInMovementClip * this.MovementClip.length);
18.            this.numFramesElapsed++;
19.        }
20.     }

When I start the game, the animation clip also begins playing, just as expected. However, once this.numFramesElapsed becomes strictly greater than this.numTotalFramesInMovementClip -- i.e., once we no longer enter the if clause at all -- the mesh immediately returns to its position as specified at the very beginning of the clip, and just stays there. This violated my expectations -- I'd expected the mesh to remain in the position specified at the end of the clip.

Do I really have to run this.MovementClip.SampleAnimation(this.AnimatedMesh, this.MovementClip.length); in every single Update() call after exiting the if clause? Is there any other way to ensure that the mesh stays in the final position specified by the clip?