Economical noise reduction for upper/lower duplex?

[Tyler Willson]

Hello everyone, I am think about purchasing an upper/lower duplex in my area. The upper unit has pretty much been gutted (there is still some flooring left but studs otherwise), and I was wondering if it is worth doing any sort of noise reduction with the upper unit to possibly avoid future issues between tenants. 

What I have heard so far is that I could insulate in between the floor joists and use a thicker underlayment underneath laminate flooring in order to achieve noise reduction from above. The thicker underlayment is certainly more expensive, so I wanted to get some other folks experience before shelling out the cash for this.

Thanks!