Dividend Recaps in an LBO Model

I was modeling a dividend recap and ran into some confusion. Here was my understanding of how it would be modeled:

Assumptions

I assume a 3x dividend recap at the end of year 4.
EBITDA at end of year 4 is $50.
Pre-Recap Debt at beginning of year 4 is $100.
After some optional prepayments, my Pre-Recap Debt at end of year 4 is $80.
At the end of year 4, my interest expense is calculated by averaging the beginning and ending pre-recap debt balance ($100 and $80).

I issue my 3x dividend at the end of the year 4.

Modeling the Post-Recap Debt

On my Debt Schedule I don't record the $150 (3 x $50) of post-recap debt until the beginning of year 5, because it doesn't influence the amount of interest I pay. At the end of year 4, I only record the $80 of pre-recap debt.

On my Balance Sheet, I do record the $150 at the end of year 4, because that is technically when I took it on. I don't record the $80 of pre-recap debt because it's been replaced by the post-recap debt by the end of that year.

Am I correct in the way I did this?