PIK - how to model PIK if interest period and cash interst payment is quarterly?

Assume interest rate (annualized) is 6% and PIK interest is 5% (annualized). Should I model it on a quarterly basis? How to do that? Thanks!

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I'm honestly not getting any of the math above. My interpretation:
 

  • Cash Interest (6%) is literally just 6% / 4 (e.g., $100M TL --> $1.5M interest per quarter, non-compounding, totals $6M per year (6%), assuming no amort/principal paydown)
  • PIK Interest (5%) is more complicated --> I solved this formula 5% = $100M (1+X)^4-1 --> X = 1.22722% --> If you then run the math on $100M starting balance with accruing PIK interest, you'll end at a balance of $105M after one year using my rate (AKA 5% PIK interest)
 

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