Which is more sensitive in a DCF: FCF or the Discount Rate?

Looking at the impact of increasing taxes on valuation.

On one hand, (assuming debt is in the capital structure) the cost of debt decreases due to the larger impact of the tax shield. This reduces the associated risk of debt thus reducing the risk profile of the company, reducing the cost of that companies equity. This is also demonstrated in the formula for Levered Beta: BL = BU*(1+(1-T)(Debt%/Equity%)). So we have cost of debt and cost of equity falling with higher taxes, so a lower WACC.

However, Unlevered FCF = NOPAT + Non Cash Adjustments - Capex - Changes in Net Working Capital. Higher taxes will reduce NOPAT, which will thus reduce Unlevered FCF.

What will impact the DCF valuation more: lower FCF or lower WACC?

EDIT: Figured it out, was ridiculously simple. WACC has a greater impact because it is discounted for every forecast future period. So it's squared in year 2, cubed in year 3 etc.

10 Comments
 

WACC is more important for sure. It's also harder to estimate it, and small changes will change your decision. For example if you are calculating your returns with arithmetic or geometric average, which is only part of WACC will already make big difference by at least 1% of WACC in normal market conditions.

 

Increasing taxes lowers both WACC and FCF. The question is which has a bigger impact on valuation in an unlevered DCF.

 

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