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Capital	
  and	
  Return	
  on	
  Capital	
  	
  	
  	
  
Learning	
  Objec-ves	
  	
  
2

¨ 

Understand	
  key	
  finance	
  concepts	
  based	
  on	
  the	
  balance	
  
sheet	
  and	
  income	
  statement	
  	
  	
  
¤ 
¤ 
¤ 

¨ 
¨ 

Understand	
  opera-ng	
  and	
  financing	
  contribu-ons	
  to	
  return	
  
Understand	
  basic	
  financial	
  decision	
  making	
  criterion	
  
¤ 

¨ 

Capital	
  and	
  Invested	
  Capital	
  	
  
Return	
  to	
  and	
  rate	
  of	
  return	
  on	
  invested	
  capital	
  
Rate	
  cost	
  of	
  invested	
  capital	
  	
  

Rate	
  of	
  return	
  on	
  invested	
  capital	
  must	
  be	
  greater	
  than	
  the	
  rate	
  cost	
  
of	
  invested	
  capital	
  	
  	
  	
  	
  

Understand	
  accoun-ng	
  informa-on	
  in	
  algebraic	
  form	
  for	
  
financial	
  calcula-ons	
  	
  
Financial	
  Statements	
  
3

¨ 

Balance	
  Sheet	
  
¤ 

Presents	
  an	
  organiza-on’s	
  financial	
  status	
  via	
  historical	
  and	
  adjusted	
  
costs	
  
	
  

¨ 

Income	
  Statement	
  
¤ 

Presents	
  financial	
  flows	
  on	
  an	
  accrual	
  basis	
  	
  
n 

¨ 

Matches	
  revenue	
  and	
  cost	
  /	
  expense	
  
	
  

Statement	
  of	
  Cash	
  Flows	
  
¤ 

Presents	
  financial	
  flows	
  on	
  a	
  cash	
  basis	
  
Asset	
  Account	
  Adjustments	
  	
  	
  
4

¨ 

Asset	
  account	
  adjustments	
  	
  
¤ 

Marked	
  to	
  fair	
  or	
  market	
  value	
  	
  
n 

¤ 
¤ 
¤ 
¤ 

¨ 

e.g.,	
  inventory,	
  accounts	
  receivable,	
  financial	
  assets	
  for	
  trading	
  or	
  available	
  
for	
  sale	
  

Depreciated	
  e.g.,	
  plant	
  and	
  equipment	
  	
  
Depleted	
  e.g.,	
  natural	
  resources	
  	
  
Amor-zed	
  e.g.,	
  intangible	
  assets	
  under	
  some	
  condi-ons	
  	
  
Marked	
  down	
  due	
  to	
  impairment	
  e.g.,	
  goodwill	
  	
  

AOer	
  adjustments,	
  do	
  the	
  balance	
  sheet	
  total	
  assets	
  
represent	
  the	
  fair	
  value	
  of	
  the	
  firm?	
  	
  
¤ 

Fair	
  value	
  is	
  
n 
n 

	
  the	
  present	
  value	
  of	
  the	
  expected	
  future	
  cash	
  flows	
  and	
  	
  
The	
  fair	
  value	
  of	
  the	
  firm’s	
  capital	
  	
  
Balance	
  Sheet	
  
5

FAIRWAY	
  CORPORATION
Balance	
  Sheet
As	
  of	
  December	
  31,	
  2010,	
  and	
  2011
(in	
  thousands)
Assets

2010

2011

Current	
  assets:
Cash	
  and	
  cash	
  equivalents…………………………………………….
$	
  	
  	
  	
  	
  230
$	
  	
  	
  	
  326
Accounts	
  receivable………………………...………………………………….
$	
  	
  	
  	
  	
  586
$	
  	
  	
  	
  673
Inventories……………………...………………………………………………….. $	
  	
  	
  	
  657
$	
  	
  	
  	
  	
  610
	
  	
  	
  	
  	
  Total	
  current	
  assets………………………………………………….
$	
  	
  1,426
$	
  1,656
Long-­‐term	
  assets:
Property,	
  plant,	
  and	
  equipment,	
  at	
  cost……………………………………. $	
  2,350
$	
  	
  2,000
Accumulated	
  depreciation……………………….……………………………….. $	
  	
  	
  (970)
$	
  (1,000)
Property,	
  plant,	
  and	
  equipment,	
  net………………………………………………
$	
  	
  1,000
$	
  1,380
Investment	
  s ecurities…………………………………………..………………….. $	
  	
  	
  	
  400
$	
  	
  	
  	
  	
  450
	
  	
  	
  	
  	
  	
  Total	
  noncurrent	
  assets……………………………………………
$	
  	
  1,450
$	
  1,780
Total	
  assets……………………………………..………………………………………………..$	
  3,436
$	
  	
  2,876

Change
$	
  	
  	
  	
   	
  96
$	
  	
  	
  	
   	
  87
$	
  	
  	
  	
   	
  47
$	
  	
  	
  230
$	
  	
  	
  350
$	
  	
  	
  	
   	
  30
$	
  	
  	
  380
$	
  	
  	
  (50)
	
  
$	
  	
  	
  330
$	
  	
  	
  560

Liabilities	
  and	
  Shareholders'	
  Equity
Current	
  liabilities:
Accounts	
  payable…………………………….……………………………………. $	
  	
  	
  	
  388
$	
  	
  	
  	
  	
  332
Income	
  taxes	
  payable………………………….…………………………………….$	
  	
  	
  	
  	
   	
  10
$	
  	
  	
  	
  	
  	
  	
  	
   	
  9

$	
  	
  	
  	
   	
  56
$	
  	
  	
  	
  	
  	
   	
  1

Short-­‐term	
  debt……………………………...….……………………………………. $	
  	
  	
  	
  126
$	
  	
  	
  	
  	
  147

$	
  	
  	
  (21)
	
  

	
  	
  	
  	
  Total	
  current	
  liabilities………………………………………………..
$	
  	
  	
  	
  	
  488

$	
  	
  	
  	
  524

$	
  	
  	
  	
   	
  36

Long-­‐term	
  debt…………………………...…………………………………………………….$	
  	
  	
  	
  835
$	
  	
  	
  	
  	
  500

$	
  	
  	
  335

Deferred	
  taxes………………………………………………………………………..
$	
  	
  	
  	
  	
  	
   	
  65

$	
  	
  	
  	
  	
   	
  70

$	
  	
  	
  	
  	
  	
   	
  5

$	
  1,429

$	
  	
  	
  376

Shareholders'	
  equity:
Common	
  s tock	
  ($1	
  par)	
  …………………………………………...……………. $	
  	
  	
  	
  	
   	
  60
$	
  	
  	
  	
  	
  	
   	
  50
Additional	
  paid-­‐in	
  capital…………….…………………………………….
$	
  	
  	
  	
  	
  133
$	
  	
  	
  	
  167
Retained	
  earnings…………………………………..……………………………… $	
  1,780
$	
  	
  1,640
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Total	
  s hareholders'	
  equity…………………………..……………….. $	
  2,007
$	
  	
  1,823
Total	
  liabilities	
  and	
  s hareholders'	
  equity………………………………….……….. 3,436
$	
  	
  2,876
$	
  

$	
  	
  	
  	
   	
  10
$	
  	
  	
  	
   	
  34
$	
  	
  	
  140
$	
  	
  	
  184
$	
  	
  	
  560

	
  	
  	
  	
  	
  	
  	
  	
  	
  Total	
  liabilities……………………………...……………………………..
$	
  	
  1,053
Balance	
  Sheet	
  
Assets

6

FAIRWAY	
  CORPORATION	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Balance	
  Sheet	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
As	
  of	
  December	
  31,	
  2011	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
(in	
  thousands)	
  

2011

Current	
  assets:
Cash	
  and	
  cash	
  equivalents…………………………………………….	
  	
  326
$	
  	
  
Accounts	
  receivable………………………...………………………………….
$	
  	
  	
  	
  673
Inventories……………………...…………………………………………………..
$	
  	
  	
  	
  657
	
  	
  	
  	
  	
  Total	
  current	
  assets…………………………………………………. ,656
$	
  1
Long-­‐term	
  assets:
Property,	
  plant,	
  and	
  equipment,	
  at	
  cost…………………………………….
$	
  2,350
Accumulated	
  depreciation……………………….………………………………..
$	
  	
  	
  (970)
Property,	
  plant,	
  and	
  equipment,	
  net………………………………………………
$	
  1,380
Investment	
  s ecurities…………………………………………..…………………..
$	
  	
  	
  	
  400
	
  	
  	
  	
  	
  	
  Total	
  noncurrent	
  assets……………………………………………
$	
  1,780
Total	
  assets……………………………………..………………………………………………..
$	
  3,436
Liabilities	
  and	
  Shareholders'	
  Equity
Current	
  liabilities:
Accounts	
  payable…………………………….…………………………………….
$	
  	
  	
  	
  388
Income	
  taxes	
  payable………………………….…………………………………….
$	
  	
  	
  	
  	
   	
  10
Short-­‐term	
  debt……………………………...….…………………………………….
$	
  	
  	
  	
  126
	
  	
  	
  	
  Total	
  current	
  liabilities………………………………………………..524
$	
  	
  	
  	
  
Long-­‐term	
  debt…………………………...…………………………………………………….
$	
  	
  	
  	
  835

Assets	
  

Liabilties	
  and	
  
Shareholders'	
  Equity

Current	
  Assets	
  
CE
$	
  	
  	
  	
  	
  	
  	
  	
   326
	
  
AR
$	
  	
  	
  	
  	
  	
  	
  	
   673
	
  
INV
$	
  	
  	
  	
  	
  	
  	
  	
   657
	
  
CA
$	
  	
  	
  	
  	
   1,656
	
  

Current	
  Liabilitites	
  
AP
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   388
	
  
ITP
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   10
	
  
SD
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   126
	
  
CL
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   524
	
  

Long-­‐term	
  Assets	
  

Long-­‐term	
  Liabilities	
  

GC
AD
NC	
  
IS
LA

$	
  	
  	
  	
  	
   2,350
	
  
$	
  	
  	
  	
  	
  	
   	
  (970)
$	
  	
  	
  	
  	
   1,380
	
  
$	
  	
  	
  	
  	
  	
  	
  	
   400
	
  
$	
  	
  	
  	
  	
   1,780
	
  

LD
T
LL

TA

$	
  	
  	
  	
  	
   3,436 PAR
	
  
APC
RE
EB

$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   835
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   70
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   905
	
  

Shareholders'	
  Equity	
  

Deferred	
  taxes………………………………………………………………………..	
  	
   	
  70
$	
  	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  Total	
  liabilities……………………………...……………………………..
$	
  1,429
Shareholders'	
  equity:
Common	
  s tock	
  ($1	
  par)	
  …………………………………………...…………….
$	
  	
  	
  	
  	
   	
  60
Additional	
  paid-­‐in	
  capital…………….…………………………………….
$	
  	
  	
  	
  167
Retained	
  earnings…………………………………..………………………………
$	
  1,780
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Total	
  s hareholders'	
  equity…………………………..………………..
$	
  2,007
Total	
  liabilities	
  and	
  s hareholders'	
  equity………………………………….………..
$	
  3,436

LE

$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   60
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   167
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
   1,780
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
   2,007
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
   3,436
	
  
Balance	
  Sheet	
  
7

	
  $3,500

TA	
  =	
  CA	
  +	
  LA	
  
	
  
CA	
  =	
  CE	
  +	
  AR	
  +	
  INV	
  
	
  
LA	
  =	
  NC	
  	
  +	
  IS	
  
	
  	
  
WC	
  =	
  CA	
  –	
  CL	
  	
  

CE

	
  $3,250

AP
ITP

CL

	
  $3,000

SD
AR

	
  $2,750
	
  $2,500

CA

DB
LL

LD

	
  $2,250

LE	
  =	
  CL	
  +	
  LL	
  +	
  EB	
  
	
  

	
  $1,500

	
  

	
  $1,250

LL	
  =	
  LD	
  +	
  T	
  

	
  $1,000

T

	
  $1,750

CL	
  =	
  AP	
  +	
  ITP	
  +	
  SD	
  

INV

	
  $2,000

	
  

NC
LA

	
  $750

EB	
  =	
  PAR	
  +	
  APC	
  +	
  RE	
  

PAR	
  	
  	
  	
  APC

	
  $500

	
  
DB	
  =	
  SD	
  +	
  LD	
  

	
  $250
	
  $-­‐

IS

RE

EB
$3,500

Opera-ng	
  Assets	
  

TA

TA

$3,250

CE

NOCE

8
$2,750

Group	
  assets	
  by	
  
• Assets	
  necessary	
  to	
  support	
  
business	
  opera-ons,	
  OA	
  	
  
• Other	
  assets,	
  NOA	
  
• TA	
  =	
  OA	
  +	
  NOA	
  
	
  
At	
  Fairway	
  Corp.	
  	
  
• IS	
  are	
  non-­‐opera-ng	
  assets	
  
• Frac-on,	
  f,	
  of	
  the	
  CE	
  are	
  non-­‐
opera-ng	
  cash	
  &	
  equivalents	
  	
  	
  
	
  	
  
CE	
   	
  	
  	
  =	
  NOCE	
  +	
  OCE	
  
NOCE	
  =	
  f·∙CE	
  
OCE	
  	
  	
  	
  =	
  (1-­‐f)·∙CE	
  

IS

$3,000

NOA

OCE

AR
CA

$2,500

AR

$2,250
INV
$2,000

OCA

INV

$1,750
$1,500

$1,250

N
NC

$1,000

LA
NC

$750
$500
$250
$0

OA

IS
Finance	
  View	
  of	
  Balance	
  Sheet	
  
9

Assets	
  (TA)	
  

Liabili6es	
  and	
  Equity	
  (LE)	
  

Opera-ng	
  current	
  assets	
  (OCA)	
  
OA	
  	
  

NOA	
  	
  

Opera-ng	
  current	
  liabili-es	
  (OCL)	
  

Opera-ng	
  long-­‐term	
  assets	
  
(OLA)	
  

‘Non-­‐opera-ng’	
  liabili-es	
  

Non-­‐opera-ng	
  current	
  assets	
  
(NCA)	
  

Deferred	
  Tax	
  (T)	
  

Non-­‐opera-ng	
  long-­‐term	
  
assets	
  (NLA)	
  	
  

TA	
  =	
  OA	
  +	
  NOA	
  
	
  	
  	
  =	
  (OCA+OLA)	
  +	
  (	
  NCA+NLA)	
  
OWC	
  ≡	
  OCA	
  –	
  OCL	
  	
  
$	
  
1,069 OWC $	
  
3,038 C
$	
  
1,380 OLA $	
  	
  (589) NOA
	
  
$	
  
2,449 IC
$	
  
2,449 IC

Debt	
  (DB=SD+LD)	
  
Capital	
  
(C	
  )	
  	
  	
  

	
  
Equity	
  (EB)	
  
	
  
	
  
LE	
  =	
  OCL	
  +	
  DB	
  +	
  T	
  +	
  EB	
  
C	
  =	
  DB	
  +	
  EB	
  +	
   T	
  

IC	
  	
  =	
  OWC	
  +	
  OLA	
  
	
  	
  	
  	
  	
  	
  =	
  OWC	
  +	
  NC	
  
	
  	
  	
  
	
  	
  	
  	
  	
  	
  =	
  C	
  –	
  NOA	
  

IC	
  	
  =	
  OWC	
  +	
  NC	
  
	

ΔIC	
  	
  =	
  ΔOWC	
  +	
  ΔNC	
  
Finance	
  View	
  of	
  	
  
Balance	
  Sheet	
  
10

TA	
  =	
  OA	
  +	
  NOA	
  
	
  	
  	
  =	
  (OCA+OLA)	
  +	
  (	
  NCA+NLA)	
  
OWC	
  ≡	
  OCA	
  –	
  OCL	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  ≡	
  OCE	
  +	
  AR	
  +	
  INV	
  –	
  AP	
  -­‐	
  ITP	
  	
  
LE	
  =	
  OCL	
  +	
  SD	
  +	
  LL	
  +	
  EB	
  
	
  	
  	
  	
  	
  =	
  OCL	
  +	
  DB	
  +	
  EB	
  +	
  T	
  	
  
	
  	
  	
  	
  	
  ≡	
  OCL	
  +	
  C	
  	
  
C	
  =	
  DB	
  +	
  EB	
  +	
  T	
  	
  
	
  
IC	
  =	
  C	
  –	
  NOA	
  	
  
	
  
IC	
  	
  =	
  OWC	
  +	
  OLA	
  
IC=	
  OWC	
  +	
  NC	
  

OWC:	
  opera-ng	
  
working	
  capital	
  	
  
	
  
C:	
  Capital	
  
	
  
IC:	
  invested	
  
capital	
  or	
  
opera-ng	
  
capital	
  	
  

TA

$3,500

LE

OCE

$3,250

$3,000

OCL

AP
ITP

SD

AR

$2,750
OCA

$2,500

DB

INV

$2,250
OA

LD

LL

T

$2,000
$1,750

$1,500
NC

$1,250

EB

N
$1,000

$750
$500
$250

$0

C

OLA

NOA

NOCE

NCA

IS

NLA
Invested	
  Capital	
  	
  
11

	
  $3,500
	
  $3,250
	
  $3,000
	
  $2,750
	
  $2,500

OCL
T

OCL

NOA

NOA

OCL

DB

	
  $2,250
	
  $2,000
	
  $1,750

IC

	
  $1,500

OA

IC

C
EB

	
  $1,250

	
  $1,000
	
  $750
	
  $500
	
  $250
	
  $-­‐

TA

TA	
  =	
  IC	
  +	
  NOA	
  +	
  OCL	
  
	
  	
  	
  	
  	
  	
  =	
  C	
  +	
  OCL	
  

TA	
  =	
  LE

LE

Note:	
  	
  Assume	
  NOA	
  funded	
  by	
  
capital,	
  C,	
  not	
  OCL	
  	
  
Working	
  Capital	
  	
  
12
$1,750
$1,500

CE

OCE

$1,250

WC
$1,000
$750

AR

AR

OWC

INV

INV

$500

AP
ITP

NWC

INV

SD

$250

AR

AP
ITP

AP
ITP

$0

WC	
  	
  	
  ≡	
  	
  	
  CA	
  -­‐	
  CL	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  	
  AR	
  +	
  INV	
  +	
  CE	
  	
  	
  	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  –	
  AP	
  	
  –	
  ITP	
  	
  –STD	
  	
  
Working	
  Capital	
  	
  

OWC	
  	
  ≡	
  	
  OCA	
  -­‐	
  OCL	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  ≡	
  AR	
  +	
  	
  INV	
  	
  +	
  OCE	
  	
  	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  –	
  AP	
  	
  –	
  ITP	
  
Opera-ng	
  Working	
  
Capital	
  	
  

NWC	
  	
  	
  ≡	
  	
  AR	
  +	
  INV	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  –	
  AP	
  	
  –	
  ITP	
  
Net	
  Working	
  Capital	
  	
  
Balance	
  Sheet	
  
Assets

13

2010

2011

Current	
  assets:
Cash	
  and	
  cash	
  equivalents…………………………………………….
$	
  	
  	
  	
  	
  230
$	
  	
  	
  	
  326
Accounts	
  receivable………………………...………………………………….
$	
  	
  	
  	
  	
  586
$	
  	
  	
  	
  673
Inventories……………………...………………………………………………….. $	
  	
  	
  	
  657
$	
  	
  	
  	
  	
  610
	
  	
  	
  	
  	
  Total	
  current	
  assets………………………………………………….
$	
  	
  1,426
$	
  1,656
Long-­‐term	
  assets:
Property,	
  plant,	
  and	
  equipment,	
  at	
  cost……………………………………. $	
  2,350
$	
  	
  2,000
Accumulated	
  depreciation……………………….……………………………….. $	
  	
  	
  (970)
$	
  (1,000)
Property,	
  plant,	
  and	
  equipment,	
  net………………………………………………
$	
  	
  1,000
$	
  1,380
Investment	
  s ecurities…………………………………………..………………….. $	
  	
  	
  	
  400
$	
  	
  	
  	
  	
  450
	
  	
  	
  	
  	
  	
  Total	
  noncurrent	
  assets……………………………………………
$	
  	
  1,450
$	
  1,780
Total	
  assets……………………………………..………………………………………………..$	
  3,436
$	
  	
  2,876

Change
$	
  	
  	
  	
   	
  96
$	
  	
  	
  	
   	
  87
$	
  	
  	
  	
   	
  47
$	
  	
  	
  230

Assets	
  

Liabilties	
  and	
  
Shareholders'	
  Equity

$	
  	
  	
  350
$	
  	
  	
  	
   	
  30
$	
  	
  	
  380
$	
  	
  	
  (50)
	
  
$	
  	
  	
  330
$	
  	
  	
  560

Current	
  Assets	
  
∆CE
$	
  	
  	
  	
  	
  	
   	
  96
∆AR
$	
  	
  	
  	
  	
  	
   	
  87
∆INV
$	
  	
  	
  	
  	
  	
   	
  47
∆CA
$	
  	
  	
  	
   	
  230

Current	
  Liabilitites	
  
∆AP
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  56
∆ITP
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  1
∆SD
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  (21)
∆CL
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  36

Long-­‐term	
  Assets	
  

Long-­‐term	
  Liabilities	
  

Liabilities	
  and	
  Shareholders'	
  Equity
Current	
  liabilities:
Accounts	
  payable…………………………….……………………………………. $	
  	
  	
  	
  388
$	
  	
  	
  	
  	
  332
Income	
  taxes	
  payable………………………….…………………………………….$	
  	
  	
  	
  	
   	
  10
$	
  	
  	
  	
  	
  	
  	
  	
   	
  9

$	
  	
  	
  	
   	
  56
$	
  	
  	
  	
  	
  	
   	
  1

Short-­‐term	
  debt……………………………...….……………………………………. $	
  	
  	
  	
  126
$	
  	
  	
  	
  	
  147

$	
  	
  	
  (21)
	
  

	
  	
  	
  	
  Total	
  current	
  liabilities………………………………………………..
$	
  	
  	
  	
  	
  488

$	
  	
  	
  	
  524

$	
  	
  	
  	
   	
  36

Long-­‐term	
  debt…………………………...…………………………………………………….$	
  	
  	
  	
  835
$	
  	
  	
  	
  	
  500

$	
  	
  	
  335

Deferred	
  taxes………………………………………………………………………..
$	
  	
  	
  	
  	
  	
   	
  65

$	
  	
  	
  	
  	
   	
  70

$	
  	
  	
  	
  	
  	
   	
  5

$	
  1,429

$	
  	
  	
  376

Shareholders'	
  equity:
Common	
  s tock	
  ($1	
  par)	
  …………………………………………...……………. $	
  	
  	
  	
  	
   	
  60
$	
  	
  	
  	
  	
  	
   	
  50
Additional	
  paid-­‐in	
  capital…………….…………………………………….
$	
  	
  	
  	
  	
  133
$	
  	
  	
  	
  167
Retained	
  earnings…………………………………..……………………………… $	
  1,780
$	
  	
  1,640
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Total	
  s hareholders'	
  equity…………………………..……………….. $	
  2,007
$	
  	
  1,823
Total	
  liabilities	
  and	
  s hareholders'	
  equity………………………………….……….. 3,436
$	
  	
  2,876
$	
  

$	
  	
  	
  	
   	
  10
$	
  	
  	
  	
   	
  34
$	
  	
  	
  140
$	
  	
  	
  184
$	
  	
  	
  560

	
  	
  	
  	
  	
  	
  	
  	
  	
  Total	
  liabilities……………………………...……………………………..
$	
  	
  1,053

FAIRWAY	
  CORPORATION	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Balance	
  Sheet	
  Changes	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
For	
  Year	
  Ending	
  December	
  31,	
  2011	
  	
  	
  	
  	
  	
  	
  	
  
(in	
  thousands)	
  

∆GC
∆AD
∆NC	
  
∆IS
∆NCA

$	
  	
  	
  	
   	
  350
$	
  	
  	
  	
  	
  	
   	
  30
$	
  	
  	
  	
   	
  380
$	
  	
  	
  	
  	
   (50)
	
  
$	
  	
  	
  	
   	
  330

∆LD
∆T
∆LL

∆TA

$	
  	
  	
  	
   	
  560 ∆PAR
∆APC
∆RE
∆EB

$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  335
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  5
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  340

Shareholders'	
  Equity	
  

∆LE

$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  10
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  34
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  140
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  184
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  560
Balance	
  Sheet	
  Nota-on	
  
14

Accoun-ng	
  periods	
  span	
  -me	
  Δt	
  
Δt	
  =	
  ti	
  –	
  ti-­‐1	
  

An	
  account	
  X	
  has	
  value	
  Xi	
  at	
  -me	
  ti	
  	
  
and	
  value	
  Xi-­‐1	
  at	
  -me	
  ti-­‐1	
  
The	
  change	
  in	
  account	
  value	
  over	
  Δt	
  is	
  ΔX	
  

Xi-­‐1	
  	
  	
  	
  	
  	
  	
  	
  	
  ΔX	
  	
  	
  	
  	
  	
  	
  	
  	
  Xi	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Xi+1	
  	
  
i-­‐1	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  i	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  i+1	
  
ti-­‐1	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Δt	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  ti	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  ti+1	
  

ΔX	
  =	
  Xi	
  -­‐	
  Xi-­‐1	
  

X	
  may	
  be	
  an	
  abbrevia-on	
  for	
  the	
  account	
  type	
  or	
  the	
  value	
  of	
  
the	
  account,	
  for	
  example	
  	
  
	
  AR	
  is	
  Accounts	
  Receivable	
  or	
  AR	
  =	
  $673,000	
  
Subscripts	
  are	
  omiked	
  for	
  simplicity	
  except	
  when	
  necessary	
  for	
  
clarity	
  
Property,	
  Plant,	
  &	
  Equipment	
  (PPE)	
  
15

¨ 

¨ 

¨ 

¨ 

¨ 

GCi 	
  gross	
  (total)	
  capital	
  investment	
  at	
  -me	
  ti	
  	
  
	
  (PPE	
  at	
  cost)	
  	
  
	
  
CX 	
  capital	
  expense	
  (“capex”)	
  over	
  ∆t	
  
	
  
CG 	
  gross	
  cost	
  of	
  PPE	
  sold	
  off	
  over	
  ∆t	
  	
  
	
  
GCi	
   	
  	
  =	
  GCi-­‐1	
  +	
  CX	
  –	
  CG	
  
Δt	
  
	
  
ti-­‐1	
  
CX	
  
GCi-­‐1	
  
ΔGC	
  =	
  CX	
  -­‐	
  CG	
  
CG	
  

ti	
  
GCi	
  
Property,	
  Plant,	
  &	
  Equipment	
  (PPE)	
  
16

¨ 
¨ 
¨ 
¨ 

ADi
DX
CC
ADi
¤ 
¤ 

¨ 

¨ 

	
  accumulated	
  deprecia-on	
  on	
  current	
  PPE	
  at	
  -me	
  ti	
  
	
  deprecia-on	
  expense	
  over	
  ∆t	
  
	
  book	
  value	
  (carry	
  cost)	
  of	
  PPE	
  sold	
  off	
  over	
  ∆t	
  
	
  =	
  ADi-­‐1	
  +	
  DX	
  –	
  (CG	
  -­‐	
  CC)	
  

(CG	
  -­‐	
  CC):	
  	
  Gross	
  cost	
  –	
  carry	
  cost	
  of	
  PPE	
  sold	
  off	
  over	
  Δt	
  
Accumulated	
  	
  deprecia-on	
  of	
  PPE	
  sold	
  off	
  over	
  Δt	
  	
  

ΔAD	
  =	
  DX	
  –	
  CG	
  +	
  CC	
  
	
  
Accoun-ng	
  income	
  on	
  	
  
the	
  sale	
  of	
  PPE	
  over	
  Δt	
  is	
  	
  
¤ 
¤ 

DG	
  =	
  CS	
  –	
  CC	
  	
  
CS	
  	
  is	
  cash	
  received	
  on	
  sale	
  of	
  PPE	
  	
  

ti-­‐1	
  

Δt	
  

ti	
  

ADi-­‐1	
  

DX	
  

ADi	
  

CG-­‐CC	
  
Property,	
  Plant,	
  &	
  Equipment	
  
17

NCi	
  =	
  GCi	
  -­‐	
  ADi	
  	
  	
  (Net	
  PPE)	
  	
  
	
  
	
  
ti-­‐1	
  
¨  ∆NC	
  =	
  	
  ΔGC	
  -­‐	
  ΔAD	
  
NCi-­‐1	
  
	
  
	
  =	
  CX	
  –	
  CG	
  –	
  (DX	
  –	
  CG	
  +	
  CC)	
  
	
  
	
  =	
  CX	
  –	
  (DX	
  +	
  CC)	
  
	
  
¨  ∆IC	
  =	
  ∆NC	
  +	
  ∆OWC	
  
	
  
	
  =	
  CX	
  –	
  DX	
  –	
  CC	
  +	
  ∆OWC	
  
¨ 

Δt	
  

ti	
  

CX	
  

NCi	
  

DX+CC	
  
Income	
  Statement	
  
18

FAIRWAY	
  CORPORATION
Income	
  Statement	
  and	
  Statement	
  of	
  Retained	
  Earnings
For	
  the	
  Year	
  Ended	
  December	
  31,	
  2011
(in	
  thousands)

FAIRWAY	
  	
  CORPORATION
Income	
  Statement	
  and	
  Statement	
  of	
  Retained	
  Earnings
For	
  the	
  Year	
  Ended	
  December	
  31,	
  2011
(in	
  thousands)	
  

Sales	
  revenues…………………………………………………………...…………………….
$	
  3,190
R…………………………….3,190
$	
  	
  	
  	
  	
   	
  
Cost	
  of	
  s ales…………………………………………...……………………………………….
$	
  2,290
COGS $	
  	
  	
  	
  	
   	
  2,290
Gross	
  margin…………………………………..…………………………………….
$	
  	
  	
  	
  900
GM………………….. 	
  	
  	
  	
  	
  	
  	
   	
  900
$	
  
Expenses:
OX $	
  	
  	
  	
  	
  	
  	
  	
   	
  449
	
  	
  	
  	
  	
  	
  Depreciation…………………………………………… 120
$	
  	
  
NX $	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  (39)
	
  	
  	
  	
  	
  	
  Other	
  expenses………………………………………. 477 *
$	
  	
  
EBITDA………………………490
$	
  	
  	
  	
  	
  	
  	
  	
   	
  
	
  	
  	
  	
  	
  	
  Income	
  taxes………………………………………….. 103
$	
  	
  
$	
  	
  	
  	
  700
DX $	
  	
  	
  	
  	
  	
  	
  	
   	
  120
Net	
  Income………………………………………..……………………………………………
$	
  	
  	
  	
  200
EBIT…………………. 	
  	
  	
  	
  	
  	
  	
   	
  370
$	
  
IX $	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  67
Retained	
  earnings,	
  December	
  31,	
  2010…………………………………….…………
$	
  1,640
IT $	
  	
  	
  	
  	
  	
  	
  	
   	
  103
Add:	
  2007	
  net	
  income…………………………………...……………………………. NP…………………………….	
   	
  200
$	
  	
  	
  	
  200
$	
  	
  	
  	
  	
  	
  	
  
Less:	
  Cash	
  dividends……………………………………….……………………………..
$	
  	
  	
  	
   (60)
	
  
Retained	
  earnings,	
  December	
  31,	
  2011……………………………………………….…………
$	
  1,780
RE2010
$	
  	
  	
  	
  	
   	
  1,640
NP
$	
  	
  	
  	
  	
  	
  	
  	
   	
  200
*Net	
  of	
  $20,000	
  gain	
  on	
  disposal	
  of	
  equipment
DIV
$	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  (60)
RE2011
$	
  	
  	
  	
  	
   	
  1,780

DG=CS-­‐CC=$20,000-­‐$0	
  

Revenue
Cost	
  of	
  goods	
  s old	
  
Gross	
  margin
Operating	
  expenses
Other	
  expenses	
  (income)
Earnings	
  before	
  int,	
  tax,	
  and	
  depre
Depreciation	
  expense
Earnings	
  before	
  interest	
  and	
  tax
Interest	
  expense
Income	
  tax	
  expense
Net	
  profit
Previous	
  retained	
  earnings
Net	
  profit
Cash	
  dividends
Current	
  retained	
  earnings	
  
Opera-ng	
  Cash	
  Flow:	
  Direct	
  Method	
  
19

FAIRWAY	
  CORPORATION
Statement	
  of	
  Cash	
  Flows
For	
  the	
  Year	
  Ending	
  December	
  31,	
  2011
(in	
  thousands)
Cash	
  flows	
  from	
  operating	
  activities:
RC
Cash	
  received	
  from	
  customers…………………………………………..…………………………
$	
  	
  	
  3,103
IDI
Dividends	
  and	
  interest	
  received……………………………………….………………………………………
$	
  	
  	
  	
  	
  	
  	
   	
  19
RC
	
  	
  	
  	
  	
  	
  Total	
  cash	
  from	
  operations	
  ………………………………………………….+ IDI
$	
  	
  	
  3,122
Cash	
  paid	
  to	
  s uppliers	
  and	
  employees	
  ……………………………………………………………………….
$	
  	
  	
  2,730 COGSC + OX
IX
Interest	
  paid	
  ………………………………………………………………………………………………
$	
  	
  	
  	
  	
  	
  	
   	
  67
ITC
Income	
  tax	
  paid	
  …………………………………………………………………………………………
$	
  	
  	
  	
  	
  	
  	
   	
  97
	
  	
  	
  	
  	
  Cash	
  disbursed	
  for	
  operating	
  activities	
  ………………………………………………
$	
  	
  	
  2,894
CFO
Net	
  cash	
  flow	
  from	
  operating	
  activities	
  …………………………………………………….
$	
  	
  	
  	
  	
   	
  228

Supplement to support income statement rearrangement
Income	
  Statement	
  
20

¨ 

¨ 

¨ 

Income	
  statements	
  for	
  different	
  firms	
  show	
  a	
  variety	
  of	
  
income	
  and	
  expense	
  categories	
  
Reconcile	
  the	
  text	
  and	
  course	
  income	
  statements	
  
$	
  449.00 OX SG&A,	
  R&D,	
  
	
   Operating	
  Expenses
	
   Other	
  expenses	
  (income)	
   $	
  	
  (39.00) NX NX	
  =	
  -­‐IDI	
  -­‐	
  DG
$	
  	
  	
  67.00
IX
	
   Interest	
  expense
$	
  477.00
	
   Other	
  Expenses
NX	
  is	
  other	
  expenses	
  and	
  income	
  	
  
¤  IDI	
  =	
  Interest	
  and	
  Dividends	
  Income,	
  $19K	
  
Dividends	
  from	
  IS	
  and	
  interest	
  from	
  NOCE	
  	
  
n  OCE	
  is	
  in	
  a	
  non-­‐interest	
  bearing	
  bank	
  account	
  at	
  Fairway	
  
n 

¤  DG	
  =	
  gain	
  from	
  disposal	
  of	
  equipment,	
  $20K	
  
n 

DG	
  =	
  CS	
  –	
  CC	
  =	
  $20K	
  -­‐	
  $0	
  =	
  $20K	
  	
  	
  
Net	
  Profit	
  
21

¨ 
¨ 
¨ 
¨ 
¨ 

NP:	
  Net	
  profit	
  
EBIT:	
  Earnings	
  before	
  interest	
  and	
  taxes	
  
IX:	
  Interest	
  expense	
  
IT:	
  Income	
  tax	
  expense,	
  τ	
  average	
  income	
  tax	
  rate	
  	
  
NP	
   	
  =	
  EBIT	
  –	
  IX	
  –	
  IT	
  
¤ 

¨ 
¨ 

IT	
  =	
  τ ·∙(EBIT	
  –	
  IX)	
  
	
  	
  	
   	
  =	
  	
  τ ·∙EBIT	
  –	
  τ ·∙	
  IX	
  

NP	
   	
  =	
  EBIT	
  –	
  IX	
  –	
  τ ·∙EBIT	
  +τ ·∙	
  IX	
  
NP 	
  =	
  EBIT(1	
  –	
  τ)	
  –	
  IX(1	
  –	
  τ)	
  
	
   	
  =	
  (EBIT–	
  IX)·∙(1	
  –	
  τ)	
  

τ ·∙	
  IX	
  =Tax	
  shield,	
  TS	
  
Marginal	
  corporate	
  income	
  
tax	
  rates	
  by	
  country	
  	
  
Avg	
  corporate	
  income	
  tax	
  
rates	
  by	
  industry	
  
Income	
  Tax	
  Expense	
  
22

Cash	
  paid	
  out,	
  
ITC	
  
Accrues	
  to	
  deferred	
  tax,	
  ΔT	
  
(Capital)	
  	
  
IT	
  
Income	
  tax	
  
expense	
  

Accrues	
  to	
  income	
  tax	
  payable,	
  
ΔITP	
  (NIBCL)	
  

IT	
  =	
  ITC	
  +	
  ΔITP	
  +	
  ΔT	
  	
  
Income	
  From	
  Opera-ons	
  and	
  Finance	
  
23

¨ 

Consider	
  two	
  “versions”	
  of	
  Fairway	
  
¤ 
¤ 

One	
  with	
  and	
  one	
  without	
  debt	
  
Leveraged	
  and	
  unleveraged	
  	
  

Earnings	
  before	
  interest	
  and	
  tax
EBIT
τ
Average	
  income	
  tax	
  rate	
  
Income	
  from	
  operations	
  
EBIT·∙(1	
  -­‐	
  τ)
Interest	
  expense
IX
Income	
  tax	
  expense
(EBIT-­‐IX)·∙τ
Tax	
  shield	
  
IX·∙τ
Effective	
  interest	
  paid	
  
IX(1	
  -­‐	
  τ)
Net	
  profit	
  
(EBIT-­‐IX)(1-­‐τ)
NP

= EBIT(1 – τ) – IX + IX·∙τ

Fairway’s	
  average	
  tax	
  rate	
  is	
  actually	
  33.993%	
  

Actual,	
  
levered	
  
Fairway

Hypothetical,	
  
unlevered,	
  "all	
  
equity"	
  Fairway

$	
  	
  	
  	
  370.00
34.0%
$	
  	
  	
  	
  244.22
$	
  	
  	
  	
  	
  	
  67.00
$	
  	
  	
  	
  103.00
$	
  	
  	
  	
  	
  	
  22.78
$	
  	
  	
  	
  	
  	
  44.22
$	
  	
  	
  	
  200.00

$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  370.00
34.0%
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  244.22
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  -­‐
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  125.78
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  -­‐
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  -­‐
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  244.22
Income	
  From	
  Opera-ons	
  and	
  Finance	
  
24

FAIRWAY	
  	
  CORPORATION
Income	
  Statement	
  With	
  Separation	
  of	
  Operations	
  and	
  Finance
For	
  the	
  Year	
  Ended	
  December	
  31,	
  2011
(in	
  thousands)	
  
R
COGS
GM
OX
NX
EBITDA
DX
EBIT	
  	
  
τ·∙EBIT
EBIT·∙(1-­‐τ)	
  
IX
TS

IX·∙(1-­‐τ)
NP

$	
  3,190.00
$	
  2,290.00
$	
  	
  	
  	
  900.00
$	
  	
  	
  	
  449.00
$	
  	
  	
  	
   	
  (39.00)
$	
  	
  	
  	
  490.00
$	
  	
  	
  	
  120.00
$	
  	
  	
  	
  370.00
$	
  	
  	
  	
  125.78
$	
  	
  	
  	
  244.22
$	
  	
  	
  	
  	
   	
  67.00
$	
  	
  	
  	
  	
   	
  22.78
$	
  	
  	
  	
  	
   	
  44.22
$	
  	
  	
  	
  200.00

Revenue
Cost	
  of	
  goods	
  s old	
  
Gross	
  margin
Operating	
  expenses
Other	
  expenses	
  (income)
Earnings	
  before	
  interest,	
  tax,	
  and	
  depreciation	
  
Depreciation	
  expense
Earnings	
  before	
  interest	
  and	
  tax
Hypothetical	
  income	
  tax	
  on	
  EBIT
Hypothetical	
  after	
  tax	
  income	
  on	
  EBIT
Interest	
  expense
NP	
  	
  =	
  EBIT	
  –	
  τ ·∙EBIT	
  –	
  IX	
  +τ ·∙	
  IX	
  
Tax	
  s hield	
  	
  (IX·∙τ)
Effective	
  interest	
  expense	
  (IX	
  -­‐	
  TS)
Net	
  profit
Income	
  From	
  Opera-ons	
  and	
  Finance	
  
FAIRWAY	
  	
  CORPORATION
Income	
  Statement	
  and	
  Statement	
  of	
  Retained	
  Earnings
For	
  the	
  Year	
  Ended	
  December	
  31,	
  2011
(in	
  thousands)	
  

25

R
COGS
GM
OX
DG
EBITDA
DX
EBIT	
  	
  
τ·∙EBIT
EBIT·∙(1-­‐τ)	
  
IX	
  
IX·∙τ
IX·∙(1-­‐τ)
IDI
IDI·∙τ
IDI·∙(1-­‐τ)
NP

$	
  3,190.00
$	
  2,290.00

Revenue
Cost	
  of	
  goods	
  s old	
  

$	
  	
  	
  	
  900.00
$	
  	
  	
  	
  449.00
$	
  	
  	
  	
   	
  (20.00)
$	
  	
  	
  	
  471.00
$	
  	
  	
  	
  120.00
$	
  	
  	
  	
  351.00
$	
  	
  	
  	
  119.32
$	
  	
  	
  	
  231.68

Gross	
  margin
Operating	
  expenses
Loss	
  on	
  s ale	
  of	
  equipment	
  
Earnings	
  before	
  interest,	
  tax,	
  and	
  depreciation
Depreciation	
  expense
Operating	
  income	
  
Hypothetical	
  income	
  tax	
  on	
  operating	
  income
Hypothetical	
  after	
  tax	
  operating	
  income

$	
  	
  	
  	
  	
   	
  67.00
$	
  	
  	
  	
  	
   	
  22.78
$	
  	
  	
  	
  	
   	
  44.22
$	
  	
  	
  	
  	
   	
  19.00
$	
  	
  	
  	
  	
  	
  	
   	
  6.46
$	
  	
  	
  	
  	
   	
  12.54

Interest	
  expense	
  
Tax	
  s hield	
  	
  (TS)
Effective	
  interest	
  expense
Investment	
  (non-­‐operating)	
  income	
  
Tax	
  on	
  investment	
  income	
  
After	
  tax	
  investing	
  income	
  

$	
  	
  	
  	
  200.00

Net	
  operating	
  profit
Income	
  Statement	
  Flows	
  
26

‘Invest’	
  
capital	
  

Assets	
  
Revenue	
  	
  
genera-ng	
  
economic	
  resources	
  
Opera-ng	
  
income	
  
EBIT	
  
Interest	
  
expense	
  to	
  
banks	
  and	
  
bondholders	
  
IX	
  

Capital	
  
Debt	
  	
  
Equity	
  	
  

Raise	
  capital	
  	
  
	
  
Return	
  capital	
  

Return	
  to	
  retained	
  
earnings	
  
RE	
  	
  	
  
Dividends	
  to	
  
shareholders	
  
DIV	
  
Income	
  tax	
  
expense	
  
IT	
  
Important	
  Ra-os	
  
27

¨ 

Return	
  on	
  Assets	
  
¤ 

roa	
  is	
  a	
  measure	
  of	
  asset	
  produc-vity	
  
n 

¨ 

how	
  much	
  net	
  profit,	
  NP,	
  	
  
is	
  generated	
  from	
  $1	
  of	
  
	
  total	
  book	
  value	
  of	
  assets,	
  TA?	
  
	
  

NP
roa =
TA

Return	
  on	
  Equity	
  
¤ 

roe	
  is	
  a	
  measure	
  of	
  equity	
  produc-vity	
  
n 
n 

Current	
  Assets	
  
CE
$	
  	
  	
  	
  	
  	
  	
  	
  326
	
  
AR
$	
  	
  	
  	
  	
  	
  	
  	
  673
	
  
INV
$	
  	
  	
  	
  	
  	
  	
  	
  657
	
  
CA
$	
  	
  	
  	
  	
  1,656
	
  

how	
  much	
  net	
  profit,	
  NP,	
  is	
  generated	
  from	
  	
  
Noncurrent	
  Assets	
  
$1	
  of	
  total	
  book	
  equity,	
  EB?	
  
TA
$	
  	
  	
  	
  	
  2,350
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  measurement	
  of	
  ‘leverage’	
  –	
  levers	
  roa	
  to	
  roe	
  	
   GC

EB

	
  
	
  
	
  

EBIT…………………. 	
  	
  	
  	
  	
  	
  	
  	
  370
$	
  
IX $	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  67
IT $	
  	
  	
  	
  	
  	
  	
  	
  	
  103
NP…………………………….	
  	
  200
$	
  	
  	
  	
  	
  	
  	
  

NP NP TA
=
⋅
EB TA EB
TA
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  = roa ⋅
EB

roe =

AD
NC	
  
IS
NCA

$	
  	
  	
  	
  	
  	
  	
  (970)
$	
  	
  	
  	
  	
  1,380
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  400
	
  
$	
  	
  	
  	
  	
  1,780
	
  

TA

$	
  	
  	
  	
  	
  3,436
	
  
Important	
  Ra-os	
  
28

¨ 

The	
  DuPont	
  formula	
  defines	
  roe	
  as	
  a	
  product	
  of	
  three	
  
accoun-ng	
  ra-os	
  to	
  provide	
  insight	
  into	
  3	
  aspects	
  of	
  the	
  firm	
  
	
  
NP NP R TA
roe =
=
⋅ ⋅
	
  
EB R TA EB
	
  
¤ 

¤ 

¤ 

	
  	
  NP	
  :	
  net	
  profit	
  margin	
  -­‐	
  How	
  much	
  net	
  profit	
  is	
  produced	
  per	
  $1	
  of	
  	
  	
  	
  	
   	
  
	
  	
  	
  	
  	
  	
  
	
  
R	
  	
  	
  	
  	
  	
  	
  	
  revenue?	
  
	
  
	
  	
  R	
  	
  	
  	
  :	
  asset	
  produc-vity	
  rela-ve	
  to	
  revenue	
  -­‐	
  How	
  much	
  revenue	
  is	
  
	
  	
  
	
  
	
  	
  	
  	
  	
  	
  	
  produced	
  per	
  $1	
  of	
  total	
  assets?	
  
TA
	
  
	
  TA	
  	
  :	
  measure	
  of	
  financial	
  leverage	
  -­‐	
  What	
  is	
  the	
  dollar	
  value	
  of	
  firm	
   	
  
	
  	
  	
  	
  	
  
	
  
EB	
  	
  	
  	
  	
  	
  assets	
  per	
  $1	
  of	
  equity?	
  
Important	
  Ra-os	
  
29

¨ 

	
  

¨ 

	
  	
  

Capital	
  Structure	
  (leverage)	
  
	
  
DB $961
=
= 0.48
EB $2007

	
  
	
  
TA $3436
=
= 1.71
	
  
EB $2007
	
  
Interest	
  coverage	
  ra-o	
  
	
  
EBIT $370
IX

=

$67

= 5.5

Liabilties	
  and	
  
Shareholders'	
  Equity

R…………………………….3,190
$	
  	
  	
  	
  	
  	
  
COGS $	
  	
  	
  	
  	
  	
  2,290
Current	
  Liabilitites	
  
$	
  
AP
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
388 GM………………….. 	
   	
   	
   	
   	
   	
   	
   	
  900
ITP
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  10
	
  
OX $	
  	
  	
  	
  	
  	
  	
  	
  	
  449
STD
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  126
	
  
NX $	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  (39)
CL

$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  524
	
  

EBITDA………………………490
$	
  	
  	
  	
  	
  	
  	
  	
  	
  
DX $	
  	
  	
  	
  	
  	
  	
  	
  	
  120
Noncurrent	
  Liabilities	
  
EBIT…………………. 	
  	
  	
  	
  	
  	
  	
  	
  370
$	
  
LTD
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
835
IX $	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  67
T
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  70
	
  
IT $	
  	
  	
  	
  	
  	
  	
  	
  	
  103
NCL
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  905
	
  
NP…………………………….	
  	
  200
$	
  	
  	
  	
  	
  	
  	
  
Shareholders'	
  Equity	
  
PAR
APC
RE
EB

$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  60
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  167
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
  1,780
	
  
$	
  	
  	
  	
  	
  	
  	
  	
  	
  2,007
	
  

LE

$	
  	
  	
  	
  	
  	
  	
  	
  	
  3,436
	
  

RE2010
NP
DIV
RE2011

$	
  	
  	
  	
  	
  	
  1,640
$	
  	
  	
  	
  	
  	
  	
  	
  	
  200
$	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  (60)
$	
  	
  	
  	
  	
  	
  1,780
Bond	
  Ra-ngs	
  From	
  Interest	
  Coverage	
  
Ra-o	
  
30

EBIT
IX
For	
  large	
  manufacturing	
  firms
If	
  interest	
  coverage	
  ratio	
  is
>
≤	
  to
Rating	
  is
-­‐100000
0.199999
D
0.2
0.649999
C
0.65
0.799999
CC
0.8
1.249999
CCC
1.25
1.499999
B-­‐
1.5
1.749999
B
1.75
1.999999
B+
2
2.2499999
BB
2.25
2.49999
BB+
2.5
2.999999
BBB
3
4.249999
A-­‐
4.25
5.499999
A
5.5
6.499999
A+
6.5
8.499999
AA
8.50
100000
AAA

Ra-ngs	
  are	
  illustra-ve	
  	
  not	
  fixed	
  or	
  theore-cal	
  
	
  
From	
  Prof.	
  Damodaran’s	
  website	
  at	
  NYU	
  
For	
  financial	
  service	
  firms	
  
For	
  smaller	
  and	
  riskier	
  firms
If	
  long	
  term	
  interest	
  coverage	
  ratio	
  is If	
  interest	
  coverage	
  ratio	
  is
>
≤	
  to
Rating	
  is
>
≤	
  to
Rating	
  is
-­‐100000
0.049999
D
-­‐100000
0.499999
D
0.05
0.099999
C
0.5
0.799999
C
0.1
0.199999
CC
0.8
1.249999
CC
0.2
0.299999
CCC
1.25
1.499999
CCC
0.3
0.399999
B-­‐
1.5
1.999999
B-­‐
0.4
0.499999
B
2
2.499999
B
0.5
0.599999
B+
2.5
2.999999
B+
0.6
0.749999
BB
3
3.499999
BB
0.75
0.899999
BB+
3.5
3.9999999
BB+
0.9
1.199999
BBB
4
4.499999
BBB
1.2
1.49999
A-­‐
4.5
5.999999
A-­‐
1.5
1.99999
A
6
7.499999
A
2
2.49999
A+
7.5
9.499999
A+
2.5
2.99999
AA
9.5
12.499999
AA
3
100000
AAA
12.5
100000
AAA
Capital	
  Structure	
  Examples	
  	
  
31

Market	
  
Number	
   Average	
  
D/E	
  
Industry	
  N ame
of	
  Firms Beta
Ratio
Advertising
31
2.02
43.3%
Aerospace/Defense
64
1.10
25.7%
Air	
  Transport
36
1.21
24.3%
Apparel
57
1.30
18.4%
Auto	
  Parts
51
1.70
27.6%
Automotive
12
1.59
134.6%
Bank
426
0.77
156.1%
Bank	
  (Midwest)
45
0.93
59.5%
Beverage
34
0.88
26.5%
Biotechnology
158
1.03
13.5%
Building	
  Materials
45
1.50
94.3%
Cable	
  TV
21
1.37
68.1%
Chemical	
  (Basic)
16
1.36
27.3%
Chemical	
  (Diversified)
31
1.51
22.4%
Chemical	
  (Specialty)
70
1.28
21.2%
Coal
20
1.53
28.9%
Computer	
  Software
184
1.04
7.5%
Computers/Peripherals
87
1.30
10.2%
Diversified	
  Co.
107
1.14
102.2%
Drug
279
1.12
15.5%
E-­‐Commerce
57
1.03
6.4%

Tax	
  
Rate
10.7%
20.7%
20.5%
16.1%
19.0%
24.1%
16.0%
17.8%
19.1%
2.5%
11.2%
27.4%
20.9%
21.7%
17.6%
12.8%
12.3%
11.8%
15.6%
5.4%
12.3%

Cash/
Firm	
  
Value
16.6%
11.8%
7.6%
7.9%
12.5%
17.8%
11.4%
14.1%
5.1%
21.5%
7.7%
6.1%
9.7%
7.4%
5.3%
7.7%
17.2%
10.7%
14.3%
9.2%
10.2%

From	
  Prof.	
  
Damodaran’s	
  
website	
  at	
  
NYU	
  
Return	
  on	
  Invested	
  Capital	
  	
  
32

¨ 

For	
  financial	
  decision	
  making,	
  the	
  return	
  to	
  invested	
  capital,	
  
roic,	
  NOPAT,	
  is	
  needed	
  
¤ 

¨ 

Start	
  with	
  return	
  to	
  equity	
  (net	
  profit,	
  NP)	
  	
  	
  
¤ 

¨ 

Net	
  Opera-ng	
  Profit	
  AOer	
  Tax	
  
NP	
  	
  =	
  	
  	
  EBIT·∙(1	
  –	
  τ)	
  	
  	
  –	
  	
  	
  IX·∙(1	
  –	
  τ)	
  	
  

For	
  Fairway	
  Corp,	
  three	
  adjustments	
  are	
  needed	
  to	
  transform	
  
NP	
  to	
  NOPAT	
  	
  
1. 

Subtract	
  ‘non-­‐opera-ng’	
  income	
  	
  
n 

Effec-ve	
  return	
  on	
  IDI:	
  	
  IDI·∙(1-­‐τ)	
  
n  IDI	
  is	
  revenue	
  received	
  in	
  cash	
  from	
  NOCE	
  and	
  IS	
  at	
  Fairway	
  	
  
Return	
  on	
  Invested	
  Capital	
  
33

Three	
  adjustments	
  to	
  transform	
  NP	
  to	
  NOPAT	
  	
  

¨ 
2. 

Add	
  back	
  effec-ve	
  payment	
  to	
  debt	
  providers:	
  IX·∙(1-­‐τ)	
  	
  
	
  IX	
  is	
  interest	
  expense	
  and	
  is	
  paid	
  out	
  in	
  cash	
  	
  

3. 

¨ 

¨ 

Add	
  back	
  any	
  provision	
  for	
  income	
  taxes,	
  IT,	
  that	
  accrues	
  to	
  capital,	
  
ΔT	
  	
  
	
  

NOPAT 	
  =	
  EBIT·∙(1	
  –	
  τ)	
  –	
  IX·∙(1	
  –	
  τ)	
  -­‐	
  IDI·∙(1-­‐τ)	
  +	
  	
  
	
  
	
  
	
  IX·∙(1-­‐τ)	
  +	
  ΔT	
  	
  
	
  
	
  =	
  (EBIT–	
  IDI)(1	
  –	
  τ)	
  +	
  ΔT	
  
	
  
EBIT………………………………
$	
  	
  	
  	
  370.00
For	
  Fairway	
  Corp	
  
IDI $	
  	
  	
  	
  	
  	
  19.00
EBIT-­‐IDI…………….. 	
  	
  	
  351.00
$	
  
	
  
(EBIT-­‐IDI)·∙(1-­‐τ)……	
  	
  	
  231.68
$	
  
NOPAT 	
  =	
  ($370	
  -­‐	
  $19)(1-­‐.34)	
  +	
  $5	
  
ΔT $	
  	
  	
  	
  	
  	
  	
  	
  5.00
	
  
	
  =	
  $236.68	
  
NOPAT……………………..
$	
  	
  	
  	
  236.68
Income	
  Statement	
  Extended	
  For	
  NOPAT	
  
34

FAIRWAY	
  	
  CORPORATION
Income	
  Statement	
  Extended	
  to	
  Return	
  on	
  Invested	
  Capital	
  
For	
  the	
  Year	
  Ended	
  December	
  31,	
  2011
(in	
  thousands)	
  
R…………………………………
$	
  3,190.00
COGS $	
  2,290.00

Revenue
Cost	
  of	
  goods	
  s old	
  

GM………………………………
$	
  	
  	
  	
  900.00
OX $	
  	
  	
  	
  449.00
NX $	
  	
  	
  	
   	
  (39.00)

Gross	
  margin
Operating	
  expenses
Other	
  expenses	
  (income)

EBITDA………………………..
$	
  	
  	
  	
  490.00
DX $	
  	
  	
  	
  120.00

Earnings	
  before	
  interest,	
  tax,	
  and	
  depreciation
Depreciation	
  expense

EBIT………………………………
$	
  	
  	
  	
  370.00
IDI $	
  	
  	
  	
  	
   	
  19.00
EBIT-­‐IDI…………….. 	
  	
  	
  351.00
$	
  
(EBIT-­‐IDI)·∙(1-­‐τ)……	
  	
  	
  231.68
$	
  
ΔT
$	
  	
  	
  	
  	
  	
  	
   	
  5.00

Earnings	
  before	
  interest	
  and	
  tax
Investment	
  (non-­‐operating)	
  income	
  

NOPAT……………………..
$	
  	
  	
  	
  236.68

Return	
  to	
  invested	
  capital

Increase	
  in	
  deferred	
  tax	
  
Rate	
  of	
  Return	
  on	
  Invested	
  Capital	
  
35

roic =

NOPAT NOPAT R
=
⋅
IC
R
IC

For Fairway Corp

roic =

NOPAT
1
⋅ (IC i + IC i−1 )
2

=

$236.68
1
⋅ ($2449 + $1952)
2

= 10.8%
Essen-al	
  Points	
  	
  	
  
36

¨ 

Key	
  finance	
  concepts	
  based	
  on	
  balance	
  sheet	
  and	
  income	
  
statements	
  	
  	
  
¤ 
¤ 
¤ 

¨ 
¨ 

Capital,	
  C,	
  and	
  Invested	
  Capital,	
  IC	
  
Return	
  on	
  invested	
  capital,	
  NOPAT	
  
Rate	
  of	
  return	
  on	
  invested	
  capital,	
  roic	
  

Key	
  financial	
  decision	
  making	
  criterion:	
  	
  roic	
  >	
  k	
  
Understand	
  financing	
  v.	
  opera-ng	
  contribu-ons	
  to	
  return	
  
	
  NP	
  
	
   	
   	
  

	
  

	
  =	
  EBIT(1	
  –	
  τ)	
  –	
  IX(1	
  –	
  τ)	
  	
  
	
  =	
  EBIT(1	
  –	
  τ)	
  –	
  IX	
  +	
  TS	
  
References	
  	
  
37

¨ 

Accoun-ng:	
  Texts	
  and	
  Cases	
  
¤ 
¤ 

¨ 

On	
  the	
  General	
  Equivalence	
  of	
  Company	
  Valua>on	
  Models	
  
¤ 
¤ 

	
  

Robert	
  Anthony	
  ,	
  David	
  Hawkins	
  ,	
  Kenneth	
  Merchant	
  
Harvard	
  	
  
	
  
Joakim	
  Levin	
  
Stockholm	
  School	
  of	
  Economics	
  	
  

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Capital and return on capital pdf

  • 1. Capital  and  Return  on  Capital        
  • 2. Learning  Objec-ves     2 ¨  Understand  key  finance  concepts  based  on  the  balance   sheet  and  income  statement       ¤  ¤  ¤  ¨  ¨  Understand  opera-ng  and  financing  contribu-ons  to  return   Understand  basic  financial  decision  making  criterion   ¤  ¨  Capital  and  Invested  Capital     Return  to  and  rate  of  return  on  invested  capital   Rate  cost  of  invested  capital     Rate  of  return  on  invested  capital  must  be  greater  than  the  rate  cost   of  invested  capital           Understand  accoun-ng  informa-on  in  algebraic  form  for   financial  calcula-ons    
  • 3. Financial  Statements   3 ¨  Balance  Sheet   ¤  Presents  an  organiza-on’s  financial  status  via  historical  and  adjusted   costs     ¨  Income  Statement   ¤  Presents  financial  flows  on  an  accrual  basis     n  ¨  Matches  revenue  and  cost  /  expense     Statement  of  Cash  Flows   ¤  Presents  financial  flows  on  a  cash  basis  
  • 4. Asset  Account  Adjustments       4 ¨  Asset  account  adjustments     ¤  Marked  to  fair  or  market  value     n  ¤  ¤  ¤  ¤  ¨  e.g.,  inventory,  accounts  receivable,  financial  assets  for  trading  or  available   for  sale   Depreciated  e.g.,  plant  and  equipment     Depleted  e.g.,  natural  resources     Amor-zed  e.g.,  intangible  assets  under  some  condi-ons     Marked  down  due  to  impairment  e.g.,  goodwill     AOer  adjustments,  do  the  balance  sheet  total  assets   represent  the  fair  value  of  the  firm?     ¤  Fair  value  is   n  n   the  present  value  of  the  expected  future  cash  flows  and     The  fair  value  of  the  firm’s  capital    
  • 5. Balance  Sheet   5 FAIRWAY  CORPORATION Balance  Sheet As  of  December  31,  2010,  and  2011 (in  thousands) Assets 2010 2011 Current  assets: Cash  and  cash  equivalents……………………………………………. $          230 $        326 Accounts  receivable………………………...…………………………………. $          586 $        673 Inventories……………………...………………………………………………….. $        657 $          610          Total  current  assets…………………………………………………. $    1,426 $  1,656 Long-­‐term  assets: Property,  plant,  and  equipment,  at  cost……………………………………. $  2,350 $    2,000 Accumulated  depreciation……………………….……………………………….. $      (970) $  (1,000) Property,  plant,  and  equipment,  net……………………………………………… $    1,000 $  1,380 Investment  s ecurities…………………………………………..………………….. $        400 $          450            Total  noncurrent  assets…………………………………………… $    1,450 $  1,780 Total  assets……………………………………..………………………………………………..$  3,436 $    2,876 Change $          96 $          87 $          47 $      230 $      350 $          30 $      380 $      (50)   $      330 $      560 Liabilities  and  Shareholders'  Equity Current  liabilities: Accounts  payable…………………………….……………………………………. $        388 $          332 Income  taxes  payable………………………….…………………………………….$            10 $                  9 $          56 $              1 Short-­‐term  debt……………………………...….……………………………………. $        126 $          147 $      (21)          Total  current  liabilities……………………………………………….. $          488 $        524 $          36 Long-­‐term  debt…………………………...…………………………………………………….$        835 $          500 $      335 Deferred  taxes……………………………………………………………………….. $              65 $            70 $              5 $  1,429 $      376 Shareholders'  equity: Common  s tock  ($1  par)  …………………………………………...……………. $            60 $              50 Additional  paid-­‐in  capital…………….……………………………………. $          133 $        167 Retained  earnings…………………………………..……………………………… $  1,780 $    1,640                    Total  s hareholders'  equity…………………………..……………….. $  2,007 $    1,823 Total  liabilities  and  s hareholders'  equity………………………………….……….. 3,436 $    2,876 $   $          10 $          34 $      140 $      184 $      560                  Total  liabilities……………………………...…………………………….. $    1,053
  • 6. Balance  Sheet   Assets 6 FAIRWAY  CORPORATION                                                               Balance  Sheet                                                                                 As  of  December  31,  2011                                                               (in  thousands)   2011 Current  assets: Cash  and  cash  equivalents…………………………………………….    326 $     Accounts  receivable………………………...…………………………………. $        673 Inventories……………………...………………………………………………….. $        657          Total  current  assets…………………………………………………. ,656 $  1 Long-­‐term  assets: Property,  plant,  and  equipment,  at  cost……………………………………. $  2,350 Accumulated  depreciation……………………….……………………………….. $      (970) Property,  plant,  and  equipment,  net……………………………………………… $  1,380 Investment  s ecurities…………………………………………..………………….. $        400            Total  noncurrent  assets…………………………………………… $  1,780 Total  assets……………………………………..……………………………………………….. $  3,436 Liabilities  and  Shareholders'  Equity Current  liabilities: Accounts  payable…………………………….……………………………………. $        388 Income  taxes  payable………………………….……………………………………. $            10 Short-­‐term  debt……………………………...….……………………………………. $        126        Total  current  liabilities………………………………………………..524 $         Long-­‐term  debt…………………………...……………………………………………………. $        835 Assets   Liabilties  and   Shareholders'  Equity Current  Assets   CE $                 326   AR $                 673   INV $                 657   CA $           1,656   Current  Liabilitites   AP $                         388   ITP $                             10   SD $                         126   CL $                         524   Long-­‐term  Assets   Long-­‐term  Liabilities   GC AD NC   IS LA $           2,350   $              (970) $           1,380   $                 400   $           1,780   LD T LL TA $           3,436 PAR   APC RE EB $                         835   $                             70   $                         905   Shareholders'  Equity   Deferred  taxes………………………………………………………………………..      70 $                        Total  liabilities……………………………...…………………………….. $  1,429 Shareholders'  equity: Common  s tock  ($1  par)  …………………………………………...……………. $            60 Additional  paid-­‐in  capital…………….……………………………………. $        167 Retained  earnings…………………………………..……………………………… $  1,780                    Total  s hareholders'  equity…………………………..……………….. $  2,007 Total  liabilities  and  s hareholders'  equity………………………………….……….. $  3,436 LE $                             60   $                         167   $                   1,780   $                   2,007   $                   3,436  
  • 7. Balance  Sheet   7  $3,500 TA  =  CA  +  LA     CA  =  CE  +  AR  +  INV     LA  =  NC    +  IS       WC  =  CA  –  CL     CE  $3,250 AP ITP CL  $3,000 SD AR  $2,750  $2,500 CA DB LL LD  $2,250 LE  =  CL  +  LL  +  EB      $1,500    $1,250 LL  =  LD  +  T    $1,000 T  $1,750 CL  =  AP  +  ITP  +  SD   INV  $2,000   NC LA  $750 EB  =  PAR  +  APC  +  RE   PAR        APC  $500   DB  =  SD  +  LD    $250  $-­‐ IS RE EB
  • 8. $3,500 Opera-ng  Assets   TA TA $3,250 CE NOCE 8 $2,750 Group  assets  by   • Assets  necessary  to  support   business  opera-ons,  OA     • Other  assets,  NOA   • TA  =  OA  +  NOA     At  Fairway  Corp.     • IS  are  non-­‐opera-ng  assets   • Frac-on,  f,  of  the  CE  are  non-­‐ opera-ng  cash  &  equivalents           CE        =  NOCE  +  OCE   NOCE  =  f·∙CE   OCE        =  (1-­‐f)·∙CE   IS $3,000 NOA OCE AR CA $2,500 AR $2,250 INV $2,000 OCA INV $1,750 $1,500 $1,250 N NC $1,000 LA NC $750 $500 $250 $0 OA IS
  • 9. Finance  View  of  Balance  Sheet   9 Assets  (TA)   Liabili6es  and  Equity  (LE)   Opera-ng  current  assets  (OCA)   OA     NOA     Opera-ng  current  liabili-es  (OCL)   Opera-ng  long-­‐term  assets   (OLA)   ‘Non-­‐opera-ng’  liabili-es   Non-­‐opera-ng  current  assets   (NCA)   Deferred  Tax  (T)   Non-­‐opera-ng  long-­‐term   assets  (NLA)     TA  =  OA  +  NOA        =  (OCA+OLA)  +  (  NCA+NLA)   OWC  ≡  OCA  –  OCL     $   1,069 OWC $   3,038 C $   1,380 OLA $    (589) NOA   $   2,449 IC $   2,449 IC Debt  (DB=SD+LD)   Capital   (C  )         Equity  (EB)       LE  =  OCL  +  DB  +  T  +  EB   C  =  DB  +  EB  +   T   IC    =  OWC  +  OLA              =  OWC  +  NC                    =  C  –  NOA   IC    =  OWC  +  NC   ΔIC    =  ΔOWC  +  ΔNC  
  • 10. Finance  View  of     Balance  Sheet   10 TA  =  OA  +  NOA        =  (OCA+OLA)  +  (  NCA+NLA)   OWC  ≡  OCA  –  OCL                      ≡  OCE  +  AR  +  INV  –  AP  -­‐  ITP     LE  =  OCL  +  SD  +  LL  +  EB            =  OCL  +  DB  +  EB  +  T              ≡  OCL  +  C     C  =  DB  +  EB  +  T       IC  =  C  –  NOA       IC    =  OWC  +  OLA   IC=  OWC  +  NC   OWC:  opera-ng   working  capital       C:  Capital     IC:  invested   capital  or   opera-ng   capital     TA $3,500 LE OCE $3,250 $3,000 OCL AP ITP SD AR $2,750 OCA $2,500 DB INV $2,250 OA LD LL T $2,000 $1,750 $1,500 NC $1,250 EB N $1,000 $750 $500 $250 $0 C OLA NOA NOCE NCA IS NLA
  • 11. Invested  Capital     11  $3,500  $3,250  $3,000  $2,750  $2,500 OCL T OCL NOA NOA OCL DB  $2,250  $2,000  $1,750 IC  $1,500 OA IC C EB  $1,250  $1,000  $750  $500  $250  $-­‐ TA TA  =  IC  +  NOA  +  OCL              =  C  +  OCL   TA  =  LE LE Note:    Assume  NOA  funded  by   capital,  C,  not  OCL    
  • 12. Working  Capital     12 $1,750 $1,500 CE OCE $1,250 WC $1,000 $750 AR AR OWC INV INV $500 AP ITP NWC INV SD $250 AR AP ITP AP ITP $0 WC      ≡      CA  -­‐  CL                      =    AR  +  INV  +  CE                                        –  AP    –  ITP    –STD     Working  Capital     OWC    ≡    OCA  -­‐  OCL                        ≡  AR  +    INV    +  OCE                                                –  AP    –  ITP   Opera-ng  Working   Capital     NWC      ≡    AR  +  INV                                    –  AP    –  ITP   Net  Working  Capital    
  • 13. Balance  Sheet   Assets 13 2010 2011 Current  assets: Cash  and  cash  equivalents……………………………………………. $          230 $        326 Accounts  receivable………………………...…………………………………. $          586 $        673 Inventories……………………...………………………………………………….. $        657 $          610          Total  current  assets…………………………………………………. $    1,426 $  1,656 Long-­‐term  assets: Property,  plant,  and  equipment,  at  cost……………………………………. $  2,350 $    2,000 Accumulated  depreciation……………………….……………………………….. $      (970) $  (1,000) Property,  plant,  and  equipment,  net……………………………………………… $    1,000 $  1,380 Investment  s ecurities…………………………………………..………………….. $        400 $          450            Total  noncurrent  assets…………………………………………… $    1,450 $  1,780 Total  assets……………………………………..………………………………………………..$  3,436 $    2,876 Change $          96 $          87 $          47 $      230 Assets   Liabilties  and   Shareholders'  Equity $      350 $          30 $      380 $      (50)   $      330 $      560 Current  Assets   ∆CE $              96 ∆AR $              87 ∆INV $              47 ∆CA $          230 Current  Liabilitites   ∆AP $                            56 ∆ITP $                                1 ∆SD $                          (21) ∆CL $                            36 Long-­‐term  Assets   Long-­‐term  Liabilities   Liabilities  and  Shareholders'  Equity Current  liabilities: Accounts  payable…………………………….……………………………………. $        388 $          332 Income  taxes  payable………………………….…………………………………….$            10 $                  9 $          56 $              1 Short-­‐term  debt……………………………...….……………………………………. $        126 $          147 $      (21)          Total  current  liabilities……………………………………………….. $          488 $        524 $          36 Long-­‐term  debt…………………………...…………………………………………………….$        835 $          500 $      335 Deferred  taxes……………………………………………………………………….. $              65 $            70 $              5 $  1,429 $      376 Shareholders'  equity: Common  s tock  ($1  par)  …………………………………………...……………. $            60 $              50 Additional  paid-­‐in  capital…………….……………………………………. $          133 $        167 Retained  earnings…………………………………..……………………………… $  1,780 $    1,640                    Total  s hareholders'  equity…………………………..……………….. $  2,007 $    1,823 Total  liabilities  and  s hareholders'  equity………………………………….……….. 3,436 $    2,876 $   $          10 $          34 $      140 $      184 $      560                  Total  liabilities……………………………...…………………………….. $    1,053 FAIRWAY  CORPORATION                                 Balance  Sheet  Changes                                   For  Year  Ending  December  31,  2011                 (in  thousands)   ∆GC ∆AD ∆NC   ∆IS ∆NCA $          350 $              30 $          380 $           (50)   $          330 ∆LD ∆T ∆LL ∆TA $          560 ∆PAR ∆APC ∆RE ∆EB $                        335 $                                5 $                        340 Shareholders'  Equity   ∆LE $                            10 $                            34 $                        140 $                        184 $                        560
  • 14. Balance  Sheet  Nota-on   14 Accoun-ng  periods  span  -me  Δt   Δt  =  ti  –  ti-­‐1   An  account  X  has  value  Xi  at  -me  ti     and  value  Xi-­‐1  at  -me  ti-­‐1   The  change  in  account  value  over  Δt  is  ΔX   Xi-­‐1                  ΔX                  Xi                                  Xi+1     i-­‐1                                              i                                          i+1   ti-­‐1                        Δt                              ti                                                              ti+1   ΔX  =  Xi  -­‐  Xi-­‐1   X  may  be  an  abbrevia-on  for  the  account  type  or  the  value  of   the  account,  for  example      AR  is  Accounts  Receivable  or  AR  =  $673,000   Subscripts  are  omiked  for  simplicity  except  when  necessary  for   clarity  
  • 15. Property,  Plant,  &  Equipment  (PPE)   15 ¨  ¨  ¨  ¨  ¨  GCi  gross  (total)  capital  investment  at  -me  ti      (PPE  at  cost)       CX  capital  expense  (“capex”)  over  ∆t     CG  gross  cost  of  PPE  sold  off  over  ∆t       GCi      =  GCi-­‐1  +  CX  –  CG   Δt     ti-­‐1   CX   GCi-­‐1   ΔGC  =  CX  -­‐  CG   CG   ti   GCi  
  • 16. Property,  Plant,  &  Equipment  (PPE)   16 ¨  ¨  ¨  ¨  ADi DX CC ADi ¤  ¤  ¨  ¨   accumulated  deprecia-on  on  current  PPE  at  -me  ti    deprecia-on  expense  over  ∆t    book  value  (carry  cost)  of  PPE  sold  off  over  ∆t    =  ADi-­‐1  +  DX  –  (CG  -­‐  CC)   (CG  -­‐  CC):    Gross  cost  –  carry  cost  of  PPE  sold  off  over  Δt   Accumulated    deprecia-on  of  PPE  sold  off  over  Δt     ΔAD  =  DX  –  CG  +  CC     Accoun-ng  income  on     the  sale  of  PPE  over  Δt  is     ¤  ¤  DG  =  CS  –  CC     CS    is  cash  received  on  sale  of  PPE     ti-­‐1   Δt   ti   ADi-­‐1   DX   ADi   CG-­‐CC  
  • 17. Property,  Plant,  &  Equipment   17 NCi  =  GCi  -­‐  ADi      (Net  PPE)         ti-­‐1   ¨  ∆NC  =    ΔGC  -­‐  ΔAD   NCi-­‐1      =  CX  –  CG  –  (DX  –  CG  +  CC)      =  CX  –  (DX  +  CC)     ¨  ∆IC  =  ∆NC  +  ∆OWC      =  CX  –  DX  –  CC  +  ∆OWC   ¨  Δt   ti   CX   NCi   DX+CC  
  • 18. Income  Statement   18 FAIRWAY  CORPORATION Income  Statement  and  Statement  of  Retained  Earnings For  the  Year  Ended  December  31,  2011 (in  thousands) FAIRWAY    CORPORATION Income  Statement  and  Statement  of  Retained  Earnings For  the  Year  Ended  December  31,  2011 (in  thousands)   Sales  revenues…………………………………………………………...……………………. $  3,190 R…………………………….3,190 $             Cost  of  s ales…………………………………………...………………………………………. $  2,290 COGS $            2,290 Gross  margin…………………………………..……………………………………. $        900 GM…………………..                900 $   Expenses: OX $                  449            Depreciation…………………………………………… 120 $     NX $                    (39)            Other  expenses………………………………………. 477 * $     EBITDA………………………490 $                              Income  taxes………………………………………….. 103 $     $        700 DX $                  120 Net  Income………………………………………..…………………………………………… $        200 EBIT………………….                370 $   IX $                      67 Retained  earnings,  December  31,  2010…………………………………….………… $  1,640 IT $                  103 Add:  2007  net  income…………………………………...……………………………. NP…………………………….    200 $        200 $               Less:  Cash  dividends……………………………………….…………………………….. $         (60)   Retained  earnings,  December  31,  2011……………………………………………….………… $  1,780 RE2010 $            1,640 NP $                  200 *Net  of  $20,000  gain  on  disposal  of  equipment DIV $                    (60) RE2011 $            1,780 DG=CS-­‐CC=$20,000-­‐$0   Revenue Cost  of  goods  s old   Gross  margin Operating  expenses Other  expenses  (income) Earnings  before  int,  tax,  and  depre Depreciation  expense Earnings  before  interest  and  tax Interest  expense Income  tax  expense Net  profit Previous  retained  earnings Net  profit Cash  dividends Current  retained  earnings  
  • 19. Opera-ng  Cash  Flow:  Direct  Method   19 FAIRWAY  CORPORATION Statement  of  Cash  Flows For  the  Year  Ending  December  31,  2011 (in  thousands) Cash  flows  from  operating  activities: RC Cash  received  from  customers…………………………………………..………………………… $      3,103 IDI Dividends  and  interest  received……………………………………….……………………………………… $                19 RC            Total  cash  from  operations  ………………………………………………….+ IDI $      3,122 Cash  paid  to  s uppliers  and  employees  ………………………………………………………………………. $      2,730 COGSC + OX IX Interest  paid  ……………………………………………………………………………………………… $                67 ITC Income  tax  paid  ………………………………………………………………………………………… $                97          Cash  disbursed  for  operating  activities  ……………………………………………… $      2,894 CFO Net  cash  flow  from  operating  activities  ……………………………………………………. $            228 Supplement to support income statement rearrangement
  • 20. Income  Statement   20 ¨  ¨  ¨  Income  statements  for  different  firms  show  a  variety  of   income  and  expense  categories   Reconcile  the  text  and  course  income  statements   $  449.00 OX SG&A,  R&D,     Operating  Expenses   Other  expenses  (income)   $    (39.00) NX NX  =  -­‐IDI  -­‐  DG $      67.00 IX   Interest  expense $  477.00   Other  Expenses NX  is  other  expenses  and  income     ¤  IDI  =  Interest  and  Dividends  Income,  $19K   Dividends  from  IS  and  interest  from  NOCE     n  OCE  is  in  a  non-­‐interest  bearing  bank  account  at  Fairway   n  ¤  DG  =  gain  from  disposal  of  equipment,  $20K   n  DG  =  CS  –  CC  =  $20K  -­‐  $0  =  $20K      
  • 21. Net  Profit   21 ¨  ¨  ¨  ¨  ¨  NP:  Net  profit   EBIT:  Earnings  before  interest  and  taxes   IX:  Interest  expense   IT:  Income  tax  expense,  τ  average  income  tax  rate     NP    =  EBIT  –  IX  –  IT   ¤  ¨  ¨  IT  =  τ ·∙(EBIT  –  IX)          =    τ ·∙EBIT  –  τ ·∙  IX   NP    =  EBIT  –  IX  –  τ ·∙EBIT  +τ ·∙  IX   NP  =  EBIT(1  –  τ)  –  IX(1  –  τ)      =  (EBIT–  IX)·∙(1  –  τ)   τ ·∙  IX  =Tax  shield,  TS   Marginal  corporate  income   tax  rates  by  country     Avg  corporate  income  tax   rates  by  industry  
  • 22. Income  Tax  Expense   22 Cash  paid  out,   ITC   Accrues  to  deferred  tax,  ΔT   (Capital)     IT   Income  tax   expense   Accrues  to  income  tax  payable,   ΔITP  (NIBCL)   IT  =  ITC  +  ΔITP  +  ΔT    
  • 23. Income  From  Opera-ons  and  Finance   23 ¨  Consider  two  “versions”  of  Fairway   ¤  ¤  One  with  and  one  without  debt   Leveraged  and  unleveraged     Earnings  before  interest  and  tax EBIT τ Average  income  tax  rate   Income  from  operations   EBIT·∙(1  -­‐  τ) Interest  expense IX Income  tax  expense (EBIT-­‐IX)·∙τ Tax  shield   IX·∙τ Effective  interest  paid   IX(1  -­‐  τ) Net  profit   (EBIT-­‐IX)(1-­‐τ) NP = EBIT(1 – τ) – IX + IX·∙τ Fairway’s  average  tax  rate  is  actually  33.993%   Actual,   levered   Fairway Hypothetical,   unlevered,  "all   equity"  Fairway $        370.00 34.0% $        244.22 $            67.00 $        103.00 $            22.78 $            44.22 $        200.00 $                            370.00 34.0% $                            244.22 $                                          -­‐ $                            125.78 $                                          -­‐ $                                          -­‐ $                            244.22
  • 24. Income  From  Opera-ons  and  Finance   24 FAIRWAY    CORPORATION Income  Statement  With  Separation  of  Operations  and  Finance For  the  Year  Ended  December  31,  2011 (in  thousands)   R COGS GM OX NX EBITDA DX EBIT     τ·∙EBIT EBIT·∙(1-­‐τ)   IX TS IX·∙(1-­‐τ) NP $  3,190.00 $  2,290.00 $        900.00 $        449.00 $          (39.00) $        490.00 $        120.00 $        370.00 $        125.78 $        244.22 $            67.00 $            22.78 $            44.22 $        200.00 Revenue Cost  of  goods  s old   Gross  margin Operating  expenses Other  expenses  (income) Earnings  before  interest,  tax,  and  depreciation   Depreciation  expense Earnings  before  interest  and  tax Hypothetical  income  tax  on  EBIT Hypothetical  after  tax  income  on  EBIT Interest  expense NP    =  EBIT  –  τ ·∙EBIT  –  IX  +τ ·∙  IX   Tax  s hield    (IX·∙τ) Effective  interest  expense  (IX  -­‐  TS) Net  profit
  • 25. Income  From  Opera-ons  and  Finance   FAIRWAY    CORPORATION Income  Statement  and  Statement  of  Retained  Earnings For  the  Year  Ended  December  31,  2011 (in  thousands)   25 R COGS GM OX DG EBITDA DX EBIT     τ·∙EBIT EBIT·∙(1-­‐τ)   IX   IX·∙τ IX·∙(1-­‐τ) IDI IDI·∙τ IDI·∙(1-­‐τ) NP $  3,190.00 $  2,290.00 Revenue Cost  of  goods  s old   $        900.00 $        449.00 $          (20.00) $        471.00 $        120.00 $        351.00 $        119.32 $        231.68 Gross  margin Operating  expenses Loss  on  s ale  of  equipment   Earnings  before  interest,  tax,  and  depreciation Depreciation  expense Operating  income   Hypothetical  income  tax  on  operating  income Hypothetical  after  tax  operating  income $            67.00 $            22.78 $            44.22 $            19.00 $                6.46 $            12.54 Interest  expense   Tax  s hield    (TS) Effective  interest  expense Investment  (non-­‐operating)  income   Tax  on  investment  income   After  tax  investing  income   $        200.00 Net  operating  profit
  • 26. Income  Statement  Flows   26 ‘Invest’   capital   Assets   Revenue     genera-ng   economic  resources   Opera-ng   income   EBIT   Interest   expense  to   banks  and   bondholders   IX   Capital   Debt     Equity     Raise  capital       Return  capital   Return  to  retained   earnings   RE       Dividends  to   shareholders   DIV   Income  tax   expense   IT  
  • 27. Important  Ra-os   27 ¨  Return  on  Assets   ¤  roa  is  a  measure  of  asset  produc-vity   n  ¨  how  much  net  profit,  NP,     is  generated  from  $1  of    total  book  value  of  assets,  TA?     NP roa = TA Return  on  Equity   ¤  roe  is  a  measure  of  equity  produc-vity   n  n  Current  Assets   CE $                326   AR $                673   INV $                657   CA $          1,656   how  much  net  profit,  NP,  is  generated  from     Noncurrent  Assets   $1  of  total  book  equity,  EB?   TA $          2,350                      measurement  of  ‘leverage’  –  levers  roa  to  roe     GC EB       EBIT………………….                370 $   IX $                      67 IT $                  103 NP…………………………….    200 $               NP NP TA = ⋅ EB TA EB TA                                    = roa ⋅ EB roe = AD NC   IS NCA $              (970) $          1,380   $                400   $          1,780   TA $          3,436  
  • 28. Important  Ra-os   28 ¨  The  DuPont  formula  defines  roe  as  a  product  of  three   accoun-ng  ra-os  to  provide  insight  into  3  aspects  of  the  firm     NP NP R TA roe = = ⋅ ⋅   EB R TA EB   ¤  ¤  ¤     NP  :  net  profit  margin  -­‐  How  much  net  profit  is  produced  per  $1  of                           R                revenue?        R        :  asset  produc-vity  rela-ve  to  revenue  -­‐  How  much  revenue  is                      produced  per  $1  of  total  assets?   TA    TA    :  measure  of  financial  leverage  -­‐  What  is  the  dollar  value  of  firm                 EB            assets  per  $1  of  equity?  
  • 29. Important  Ra-os   29 ¨    ¨      Capital  Structure  (leverage)     DB $961 = = 0.48 EB $2007     TA $3436 = = 1.71   EB $2007   Interest  coverage  ra-o     EBIT $370 IX = $67 = 5.5 Liabilties  and   Shareholders'  Equity R…………………………….3,190 $             COGS $            2,290 Current  Liabilitites   $   AP $                           388 GM…………………..                900 ITP $                            10   OX $                  449 STD $                        126   NX $                    (39) CL $                        524   EBITDA………………………490 $                   DX $                  120 Noncurrent  Liabilities   EBIT………………….                370 $   LTD $                           835 IX $                      67 T $                            70   IT $                  103 NCL $                        905   NP…………………………….    200 $               Shareholders'  Equity   PAR APC RE EB $                            60   $                        167   $                  1,780   $                  2,007   LE $                  3,436   RE2010 NP DIV RE2011 $            1,640 $                  200 $                    (60) $            1,780
  • 30. Bond  Ra-ngs  From  Interest  Coverage   Ra-o   30 EBIT IX For  large  manufacturing  firms If  interest  coverage  ratio  is > ≤  to Rating  is -­‐100000 0.199999 D 0.2 0.649999 C 0.65 0.799999 CC 0.8 1.249999 CCC 1.25 1.499999 B-­‐ 1.5 1.749999 B 1.75 1.999999 B+ 2 2.2499999 BB 2.25 2.49999 BB+ 2.5 2.999999 BBB 3 4.249999 A-­‐ 4.25 5.499999 A 5.5 6.499999 A+ 6.5 8.499999 AA 8.50 100000 AAA Ra-ngs  are  illustra-ve    not  fixed  or  theore-cal     From  Prof.  Damodaran’s  website  at  NYU   For  financial  service  firms   For  smaller  and  riskier  firms If  long  term  interest  coverage  ratio  is If  interest  coverage  ratio  is > ≤  to Rating  is > ≤  to Rating  is -­‐100000 0.049999 D -­‐100000 0.499999 D 0.05 0.099999 C 0.5 0.799999 C 0.1 0.199999 CC 0.8 1.249999 CC 0.2 0.299999 CCC 1.25 1.499999 CCC 0.3 0.399999 B-­‐ 1.5 1.999999 B-­‐ 0.4 0.499999 B 2 2.499999 B 0.5 0.599999 B+ 2.5 2.999999 B+ 0.6 0.749999 BB 3 3.499999 BB 0.75 0.899999 BB+ 3.5 3.9999999 BB+ 0.9 1.199999 BBB 4 4.499999 BBB 1.2 1.49999 A-­‐ 4.5 5.999999 A-­‐ 1.5 1.99999 A 6 7.499999 A 2 2.49999 A+ 7.5 9.499999 A+ 2.5 2.99999 AA 9.5 12.499999 AA 3 100000 AAA 12.5 100000 AAA
  • 31. Capital  Structure  Examples     31 Market   Number   Average   D/E   Industry  N ame of  Firms Beta Ratio Advertising 31 2.02 43.3% Aerospace/Defense 64 1.10 25.7% Air  Transport 36 1.21 24.3% Apparel 57 1.30 18.4% Auto  Parts 51 1.70 27.6% Automotive 12 1.59 134.6% Bank 426 0.77 156.1% Bank  (Midwest) 45 0.93 59.5% Beverage 34 0.88 26.5% Biotechnology 158 1.03 13.5% Building  Materials 45 1.50 94.3% Cable  TV 21 1.37 68.1% Chemical  (Basic) 16 1.36 27.3% Chemical  (Diversified) 31 1.51 22.4% Chemical  (Specialty) 70 1.28 21.2% Coal 20 1.53 28.9% Computer  Software 184 1.04 7.5% Computers/Peripherals 87 1.30 10.2% Diversified  Co. 107 1.14 102.2% Drug 279 1.12 15.5% E-­‐Commerce 57 1.03 6.4% Tax   Rate 10.7% 20.7% 20.5% 16.1% 19.0% 24.1% 16.0% 17.8% 19.1% 2.5% 11.2% 27.4% 20.9% 21.7% 17.6% 12.8% 12.3% 11.8% 15.6% 5.4% 12.3% Cash/ Firm   Value 16.6% 11.8% 7.6% 7.9% 12.5% 17.8% 11.4% 14.1% 5.1% 21.5% 7.7% 6.1% 9.7% 7.4% 5.3% 7.7% 17.2% 10.7% 14.3% 9.2% 10.2% From  Prof.   Damodaran’s   website  at   NYU  
  • 32. Return  on  Invested  Capital     32 ¨  For  financial  decision  making,  the  return  to  invested  capital,   roic,  NOPAT,  is  needed   ¤  ¨  Start  with  return  to  equity  (net  profit,  NP)       ¤  ¨  Net  Opera-ng  Profit  AOer  Tax   NP    =      EBIT·∙(1  –  τ)      –      IX·∙(1  –  τ)     For  Fairway  Corp,  three  adjustments  are  needed  to  transform   NP  to  NOPAT     1.  Subtract  ‘non-­‐opera-ng’  income     n  Effec-ve  return  on  IDI:    IDI·∙(1-­‐τ)   n  IDI  is  revenue  received  in  cash  from  NOCE  and  IS  at  Fairway    
  • 33. Return  on  Invested  Capital   33 Three  adjustments  to  transform  NP  to  NOPAT     ¨  2.  Add  back  effec-ve  payment  to  debt  providers:  IX·∙(1-­‐τ)      IX  is  interest  expense  and  is  paid  out  in  cash     3.  ¨  ¨  Add  back  any  provision  for  income  taxes,  IT,  that  accrues  to  capital,   ΔT       NOPAT  =  EBIT·∙(1  –  τ)  –  IX·∙(1  –  τ)  -­‐  IDI·∙(1-­‐τ)  +          IX·∙(1-­‐τ)  +  ΔT        =  (EBIT–  IDI)(1  –  τ)  +  ΔT     EBIT……………………………… $        370.00 For  Fairway  Corp   IDI $            19.00 EBIT-­‐IDI……………..      351.00 $     (EBIT-­‐IDI)·∙(1-­‐τ)……      231.68 $   NOPAT  =  ($370  -­‐  $19)(1-­‐.34)  +  $5   ΔT $                5.00    =  $236.68   NOPAT…………………….. $        236.68
  • 34. Income  Statement  Extended  For  NOPAT   34 FAIRWAY    CORPORATION Income  Statement  Extended  to  Return  on  Invested  Capital   For  the  Year  Ended  December  31,  2011 (in  thousands)   R………………………………… $  3,190.00 COGS $  2,290.00 Revenue Cost  of  goods  s old   GM……………………………… $        900.00 OX $        449.00 NX $          (39.00) Gross  margin Operating  expenses Other  expenses  (income) EBITDA……………………….. $        490.00 DX $        120.00 Earnings  before  interest,  tax,  and  depreciation Depreciation  expense EBIT……………………………… $        370.00 IDI $            19.00 EBIT-­‐IDI……………..      351.00 $   (EBIT-­‐IDI)·∙(1-­‐τ)……      231.68 $   ΔT $                5.00 Earnings  before  interest  and  tax Investment  (non-­‐operating)  income   NOPAT…………………….. $        236.68 Return  to  invested  capital Increase  in  deferred  tax  
  • 35. Rate  of  Return  on  Invested  Capital   35 roic = NOPAT NOPAT R = ⋅ IC R IC For Fairway Corp roic = NOPAT 1 ⋅ (IC i + IC i−1 ) 2 = $236.68 1 ⋅ ($2449 + $1952) 2 = 10.8%
  • 36. Essen-al  Points       36 ¨  Key  finance  concepts  based  on  balance  sheet  and  income   statements       ¤  ¤  ¤  ¨  ¨  Capital,  C,  and  Invested  Capital,  IC   Return  on  invested  capital,  NOPAT   Rate  of  return  on  invested  capital,  roic   Key  financial  decision  making  criterion:    roic  >  k   Understand  financing  v.  opera-ng  contribu-ons  to  return    NP            =  EBIT(1  –  τ)  –  IX(1  –  τ)      =  EBIT(1  –  τ)  –  IX  +  TS  
  • 37. References     37 ¨  Accoun-ng:  Texts  and  Cases   ¤  ¤  ¨  On  the  General  Equivalence  of  Company  Valua>on  Models   ¤  ¤    Robert  Anthony  ,  David  Hawkins  ,  Kenneth  Merchant   Harvard       Joakim  Levin   Stockholm  School  of  Economics