FCFF vs FCFE and Interest Expense - DCF Dilemma

Hi,

I was recently reviewing the IB guide of hard questions from Wall Street Prep and came across the difference of UFCF and LFCF. What puzzles me is that by using UFCF and then subtracting net debt to derive equity value, the interest expense is not accounted for - as we use NOPAT to compute FCF

This leaves a hole as in reality interest expense is very real and a cash one, which lowers equity value. 

So why should this yield the same equity value as using FCFE, which indeed takes into account interest expense but is rather more boring to put together? 

Thanks.

 

Levered DCF uses a discount rate that is equal to the cost of equity. i.e FCFE approach 
Unlevered DCF uses a discount rate that is equal to the weighted average cost of capital (inclusive of debt AND equity cost) your WACC should be typically lower that your cost of equity. 

Interest cost directly impacts cost of debt which impacts WACC therefore your UFCF DCF valo implicitly inlcudes your interest expense 

 

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