Duke Energy

Analyst Listing

The following analysts provide coverage for the subject firm as of May 2016:

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Primary Input Data

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Derived Input Data

Derived Input	Label	2015 Value	2016 Value	Equational Form
Net Operating Profit Less Adjusted Taxes	NOPLAT	3,622	3,608	$NOPLAT\, =\, EBIT\, x\, (1 \,-\, Avg \,\,Tax\,\, Rate\,\, on\,\, EBIT)$
Free Cash Flow	FCF	(90)	(1,103)	$FCF\,=NOPLAT\,+\,Non-Cash\,Expenses-\Delta NWC\,-\,NCS$
Tax Shield	TS	519	537	$TS\,=\,Interest\,\,Paid\,\,x\,\, Avg \,\,Tax\,\,Rate\,\, on\,\, Pre-Tax\,\, Income$
Invested Capital	IC	109,756	127,922	$IC\,=\,Fixed\,\,Operating\,\,Assets\,\,+\,\,Net\,\, Working\,\, Capital$
Return on Invested Capital	ROIC	3.30%	2.82%	$ROIC\,=\,\frac { NOPLAT }{ IC }$
Net Investment	NetInv	3,424	21,460	$NetInv\,=\,{ {IC}_{1}}-{{IC}_{0}}+Depreciation$
Investment Rate	IR	94.52%	594.76%	$IR\,=\,\frac {NetInv}{NOPLAT}$
Weighted Average Cost of Capital	WACC_Market	4.24%	4.29%	$WACC\,=\,\frac { E }{ V } { R }_{ E }\,+\,\frac { P }{ V } { R }_{ P }\,+\,\frac { D }{ V } { R }_{ D }\left( 1- Avg\,\, Tax\,\,Rate\,\,on\,\,Pre-Tax\,\,Income \right)$
Weighted Average Cost of Capital	WACC_Book	3.76%	3.92%
Enterprise value	EV_Market	87,995	100,752	$EV\,=\,Market\,\,Cap\,\,Equity\,+\,\,Long\,\,Term\,\,Debt\,-\,Cash$
Enterprise value	EV_Book	85,754	99,518
Long-Run Growth	g = IR x ROIC	3.12%	16.78%	Long-run growth rates of the income variable are used in the Continuing Value portion of the valuation models.
Long-Run Growth	g = % $\Delta$ GDP	2.50%	2.50%
Margin from Operations	M	23.78%	24.41%	$M\,\,=\,\,\frac{EBIT}{SALES}$
Depreciation/Amortization Rate	D	36.07%	37.24%	$D\,\,=\,\,\frac{D+A}{EBITDA}$

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Valuation Multiple Outcomes

The outcomes presented in this study are the result of original input data, derived data, and synthesized inputs.

Equational Form	Observed Value		Single-stage multiple g solution		Two-stage valuation model g solution
Equational Form	12/31/2015	12/31/2016	12/31/2015	12/31/2016	12/31/2015	12/31/2016
EV/SALES $\frac {EV}{Sales} \,= \,\frac{ROIC\, -\, g}{ROIC\,(WACC\,-\,g)}\,(1\,-\,T)\,(M)$	3.75	4.43	-0.48%	-2.63%	-7.86%	-9.50%
EV/EBITDA $\frac {EV}{EBITDA} \,= \,\frac{ROIC\, -\, g}{ROIC\,(WACC\,-\,g)}\,(1\,-\,T)\,(1\,-\,D)$	10.09	11.39	-0.48%	-2.63%	-7.86%	-9.50%
EV/NOPLAT $\frac {EV}{NOPLAT} \,= \,\frac{ROIC\, -\, g}{ROIC\,(WACC\,-\,g)}$	24.29	27.92	-0.48%	-2.63%	-7.86%	-9.50%
EV/FCF_OPS $\frac {EV}{FCF_{OPS}} \,= \,\frac{ROIC\, -\, g}{ROIC\,(WACC\,-\,g)}\,(1\,-\,T)$	-977.73	-91.34	-0.48%	-2.63%	-7.86%	-9.50%
EV/EBIT $\frac {EV}{EBIT} \,= \,\frac{ROIC\, -\, g}{ROIC\,(WACC\,-\,g)}\,(1\,-\,T)$	15.79	18.15	-0.48%	-2.63%	-7.86%	-9.50%
EV/IC $\frac {EV}{IC} \,= \,\frac{ROIC\, -\, g}{WACC\,-\,g}$	.80	0.79	-0.48%	-2.63%	-7.86%	-9.50%

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