Damodaran on Valuation_ Security Analysis for Investment and Corporate Finance ( PDFDrive )

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Ifwewanttospecifyenterprisevalueasamultipleofthis
year’s operatingincome, theequations willbemodified to
include a one-year growth term in the numerator:


Otherthingsremainingequal,bothEV/EBITandEV/EBIT(1
−t)willincreaseasthegrowthrateincreasesandthecostof
capital decreases. They will both also increase as the
reinvestment rate decreases (for any given growth rate).
However, given our earlier discussion of growth being a
productofthereturnoncapitalandthereinvestmentrate,this
isequivalenttostatingthattheenterprisevaluemultipleswill
increaseasthereturnoncapitalincreases,holdingallother
variables fixed.


ToanalyzeEV/EBITDAmultiples,webeginbystatingthe
free cash flow to the firm in terms of EBITDA:


Substitutingthisequationwithinputs forthenextyearinto
the stable growth firm valuation model, we get:


DividingthroughbyEBITDAyieldsthedeterminantsofthe
EV/EBITDA multiples:

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