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Isn’t FCFF actual cash flow? So any depreciation adjustments wouldn’t actually directly impact FCFF, but the tax savings it generates (assuming an increase in £200k in depreciation saves you 200*20%=40k) will be added to the FCFF.
In terms of explaining it via the formula, your NCC would increase by £200k, but NI would decrease by £200k as well, plus an increase of 40k in tax benefits. The better formula to use would be:
EBIT * (1-tax) + Depreciation & Amortization – WCInv – FCInv
So adding your 200k increase to depreciation, you get
(EBIT – 200k) * (1 – 20%) + (D&A + 200k) – WCInv – FCInv
= EBIT – 160k + (D&A + 200k) – WCInv – FCInv
= EBIT + D&A – WCInv – FCInv + 40k