Make camera follow an instantiated object

I have gone through my code and made a new script that is attached to my "Playermodel" prefab. The problem is that I want my camera called "FallCam" to follow the instantiated object. The script that is on my camera looks like this with my "Playermodel" as the variable for the cameraTransform:

 #pragma strict
 
 var cameraTransform : Transform; 
 
 var offset = Vector3 (0,0,0);
 
 function Update () { 
 
 
 cameraTransform.position = transform.position + offset;
 
 
 }

I don't know what I am doing wrong, I want the camera to follow the model that is being instantiated but it does not follow. I have put the script on my camera and added the model as the transform.

Thanks in advance.