In either case of TI received directly or waived in rent, Money came came in for to offset the improvement cost. It'd go to assets (to be reduced) as technically your landlord aid for that assets and not you/your business (for the amount of TI). i.e. (If Leasehold improvements are $100,000 and $2000 TI then your Leasehold improvement assets are $98,000. Hope this helps!