Appendix C Selected Equations and Tables A-31
After-tax cost of debt! Interest rate on new debt – Tax savings
! rd – rdT
! rd(1 – T)
Component cost of preferred stock! rp!
Dp
___P
p
Required rate of return! Expected rate of return
rs! rRF " RP! D 1 /P 0 " g! #rs
rs! rRF " (RPM)bi
! rRF " (rM – rRF)bi
Pˆ 0!
D 1
_______(1 " r
s)
1 "^
D 2
_______(1 " r
s)
2 "^...^ "^
D%
_______(1 " r
s)
%^
! (^)!
t! 1
%
Dt
__(1 " r
s)
t^
Pˆ 0!
D 1
r
s^ # g
rs! #rs!
D 1
P
0
" Expected g
Cost of equity from new stock! re!
D 1
__P
0 (1 # F)
" g
Retained earnings
breakpoint
!
Addition to retained earnings for the year
Equity fraction
Chapter 11
NPV! CF 0 "
CF 1
(1 " r) 1 "
CF 2
(1 " r)^2 "^...^ "^
CFN
(1 " r)N
! (^)!
t! 0
N
CFt
__(1 " r) (^) t
CF 0 "
CF 1
(1 " IRR) 1 "
CF 2
(1 " IRR)^2 "^...^ "^
CFN
(1 " IRR)N
! 0
(^)!
t! 0
N
CFt
____(1 " IRR) (^) t! 0
(^)!
t! 0
N
COFt
__(1 " r) (^) t!
(^)!
t! 0
N
CIFt(1 " r)N#t
(1 " MIRR)N
PV costs! ___TV
(1 " MIRR)N
Payback! Number of years prior to full recovery
"
Unrecovered cost at start of year
Cash ) ow during full recovery year
Chapter 13
EBIT! PQ – VQ – F! 0
QBE! _____P #F (^) V
bL! bU[1 " (1 # T)(D/E)]
bU! bL/[1 " (1 # T)(D/E)]