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Formula Sheet
Corporate Finance
A = L + SE
P(C) = P(A+B) = P(A)+P(B)
E GAEY 
IC
MB 
MVE
BVE
E R  
DE 
TD
TE
rs = rf + RPs
DA 
TD
TA
FVt  C  1  r n
PVt 
EBIT
ICR 
IE
EV = MVE + D - C
Cn
1  r n
N
PVt 
 1  r 
Cn
n
n 0
n
EPS 
NI
SO
FVt  PV  1  r n
OM 
OI
TS
PVt 
C
r
PVt 
C 
1
1
r  1  r N
NPM 
NI
TS




CR 
CA
CL
FVt 
C
1  r N  1
r
QR 
CAEI
CL
PVt 
C
rg
PVt 
C   1 + g 
1- 

r - g   1 + r 
FVt 
C
1  r N  1  g N
rg
ARD 
ROE 
AR
ADS
NI
BVE
MC
SP
P/ E 

NI
EPS
RE = NI – D
C
R
GAEY
IC

N

NPV  PV  PMT 
NPV = PV(ACF)
P(S) = PV(CF)

1
RATE






1
1 
 1  RATE  NPER


FV

0
 1  RATE  NPER

P
1 
1
1

r  1  r N




r t   1  r n  1
Page 1 of 5
Corporate Finance Formula Sheet (cont)
r t  
APR
k
APR 

1  EAR  1 

k 

FV
P
k
r i
rr 
 r i
1 i
r    r   r 1   
1  YTM n n
rn = YTMn
P
CPN 
1
1

y  1  y N
P
CPN
CPN
CPN  FV


1  YTM 1 1  YTM 2 2
1  YTM n n
P
Div1  P1
1  rE
EVAn = Cn – rIn-1 - Dn
PI 
NPV
RC
IT  EBIT   C
UNI  EBIT  1   c   R  E  D1   c 
P
Div1 Div 2  P2

1  rE
1  rE 2
P
Div N
PN
Div1
Div 2



2
N
1  rE 1  rE 
1  rE  1  rE N
P
 1  r
FCF  R  E  D  1   c   D  CE  NWC
FCF  R  E   1   c   CE  NWC   c  D
Div1  P1
Div1 P1  P0 Div1
1 


g
P0
P0
P0
P0
rE 
NWC = CA – CL = C + I + AR –AP
FCF  UNI  D  CE  NWC

Year
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
CPN 
MACRS Depreciation Rate for Recovery Period
3 years 5 years 7 years 10 years 15 years 20 years
33.33
20.00
14.29
10.00
5.00
3.750
44.45
32.00
24.49
18.00
9.50
7.219
14.81
19.20
17.49
14.40
8.55
6.677
7.41
11.52
12.49
11.52
7.70
6.177
11.52
8.93
9.22
6.93
5.713
5.76
8.92
7.37
6.23
5.285
8.93
6.55
5.90
4.888
4.46
6.55
5.90
4.522
6.56
5.91
4.462
6.55
5.90
4.461
3.28
5.91
4.462
5.90
4.461
5.91
4.462
5.90
4.461
5.91
4.462
2.95
4.461
4.462
4.461
4.462
4.461
2.231
CR  FV
NCPR
Div n
n 1
CG = SP – BV
ATCF = SP – (C x CG)

  FV
 1  y N

P0 
E
n
Div1
rE  g
CE  NI  RONI
NI  E  RR
g  RR  RONI
PN 
P
Div N 1
rE  g
Div N
Div1
Div 2
1



2
N
1  rE 1  rE 
1  rE  1  rE N
P0 
PV FTDAR 
SO0
EV = MVE + D – C
Page 2 of 5
 Div N 1 


 rE  g 
Corporate Finance Formula Sheet (cont)
Vi
TVP
FCF  EBIT  1   C   D  CD  NWC
xi 
V0 = PV(FFCF)
RP 
P0 
V0  C0  D0
SO0
V0 
FCFN
VN
FCF1
FCF2



1  rW ACC 1  rW ACC 2
1  rW ACC N 1  rW ACC N
xR
i i i
 x ER 
CovR , R   ER  ER R
E RP  
i
i i
j


Cov Ri , R j 
VN 
 1  g wacc
FCFN 1

rwacc  g FCF  rwacc  g FCF
P/E 
P0
Div1 EPS1
DPR


EPS1
rE  g
rE  g
V0
FCF1 EBITDA1

EBITDA1
rwacc  g FCF
ER 

pR  R
R
VarR  

R
pR  R  E R 2
SDR   Var R 
Rt 1 
Divt 1 Pt 1  Pt

Pt
Pt
1+RL = (1+RS1) (1+RS2) (1+RS3)….
R
1
T

  FCFN

i


Corr Ri , R j 
i
i
1
T 1
 R

Cov Ri , R j
 
 E Rj

 Ri R j ,t  R j
i ,t
t
j

 
SDRi SD R j
 
Var R p  x12VarR1   x22VarR2   2 x1 x2CovR1 , R2 
 
Var R p  x12 SDR1 2  x22 SDR2 2  2 x1 x2 CorrR1 , R2 SDR1 SDR2 
VarRP  
 x CovR , R

Var RP  

Ri , R j 
VarRP  
1
AVIS   1  1 ACBS 
n
 n
SDRP  
 x  SDR   CorrR , R
i i
i
i
P
x x Cov
j i j
i i
i
i
 x  SDR   CorrR , R
i i
i
i
P
P

  i xi  SDRi 

T
R

E R xP   1  x r f  xE R P   r f  x E R P   r f
t

t 1

T
1
VarR  
Rt  R
T  1 t 1
SDRxP  
2
1  x 2Varrf   x 2VarRP   21  x xCovrf , RP 
SD(RxP) = xSD(RP)
SEA 
SD( IO)
NO
SR 
MRP = E[Rmkt] - rf

E R   rf    E RMkt   rf

iP 
E RP   r f
SDRP 
SDRi   CorrRi , RP  CovRi , RP 

SDRP 
VarRP 
Page 3 of 5
Corporate Finance Formula Sheet (cont)

ri  rf  iP  E RP   rf

rE  rU 
 
E Ri   ri  rf  iEff  E REff  rf

SDRi   Corr Ri , REff
 iEff 

SD REff

 
ri  rf  iEff  E REff  rf



E R xCML   r f  x E RMkt   r f

E Ri   ri  rf  i  E RMkt   rf
P 
E
D
E 
D
ED
ED
 E  U 

SDRxCML   xSDRMkt 
i  iMkt 
 E 
 D 
rW ACC  
rE  
rD  rU  rA
DE
DE
U 

D
rU  rD 
E


 E  1 

SDRi   CorrRi , RMkt  CovRi , RMkt 

SDRMkt 
VarRMkt 
D
U   D 
E
D
U
E
ND = D – CRFS
ITS = CTR x IP
CFL = CFU + ITS
x
i i i
VL = VU + PV(ITS)
 s  E Rs   rs  E Rs   rf   s E RMkt   rf 
PV(ITS) = C x D
MVi = Ni  Pi
VL = VU + CD
xi 
 E 
 D 
rW ACC  
rE  
rD 1   C 
E

D


ED
MVi

j
MV j
Ri  rf   i   i RMkt  rf    i

E Ri   ri  r*  i  ERMkt   r*

 E 
 D 
 D 
rW ACC  
rE  
rD  
rD C
ED
ED
ED
 *  1
ABSi 
rMkt 
2
1
 i  1.0
3
3
Div1
g
P0
E=A–D
VL = VU + D
*
 ex

e i
1   i 
VL = VU + PV(ITS) – PV(FDC)
E+D=U=A
E
D
RE 
RD  RU  RA
ED
ED
RE  RU 
1   c 1   e 
1   i 
D
RU  RD 
E
VL = VU + PV(ITS) – PV(FDC) – PV(ACD) + PV(ABD)
Pcum  Pex 1   g   Div1   d 

Pcum  Pex  Div 1   d*

Page 4 of 5
Corporate Finance Formula Sheet (cont)
d  g
 1 g

 d*  




 = N(d1)
B = -PV(K)N(d2)
Pcum
1 d
 Pex  Div 0 
1 g


*
Pretain  Pcum  1   retain
*
 retain
 1





1   c 1   g 
1   i 
C = max(S – K,0)
P = max(K – S,0)
 = -[1-N(d1)]
B = PV(K)[1-N(d2)]
C  S  N d1   K  erT  N d 2 
d1 
2
S 
ln     r 
2
K 

T


 T
d 2  d1   T
S + P = PV(K) + C
P = C – S + PV(K)
rf  er 1
S + P = PV(K) + PV(Div) + C
r = ln(1 + rf)
P = C – S + PV(K) + PV(Div)
 option 
Su + (1+rf)B = Cu
Sd + (1+rf)B = Cd

B
S
S
S  B
 D  1   
Cu  C d
Su  S d
U 
Cd  S d 
1  rf
 = N(d1)
A
E

U  1   1  U
D
D


E
D

1  
E

C = S + B
C  S  N d1   PV K   N d 2 
 S 
ln 

PV K    T
d1  

2
 T
d 2  d1   T
P  PV K 1  N d 2   S 1  N d1 
Sx = S – PV(Div)
Sx = S/(1+q)
Page 5 of 5
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