Excel Sheet Auto Rename

I am using the following VBA to auto-name sheets in my workbook based upon what's in cell A2. However, in cell A2 I have the following formula: =B2&" - F&V Expenses". My problem is that I want the sheet to be renamed when I change what's entered into cell B2 and not necessarily what's in cell A2. Is there something I can do to my current VBA that would have it realize that the value in cell A2 really did change because I updated cell B2?

Private Sub Worksheet_Change(ByVal Target As Range) If Not Intersect(Target, Range("A2")) Is Nothing Then
On Error Resume Next
Me.Name = Range("A2").Value
If Err.Number 0 Then
MsgBox "Error in Renaming"
End If
On Error Goto 0
End If
End Sub