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CF
473.32
12
Winter 2014
Questions
1. What cash flows should I consider?
2. How does the market set r?
3. How should I set r?
nn
nnn r)(
CF
r)(
CF
r)(
CFNPV
1...
11 2
2
1
1
CF1
at time 0
nnn
nnn r
CF
r
CF
r
CF
r
CFNPV
1...
111 321
321
01
1 r
CF
11CF
1CF
at CF1 n1= 0
12
1 r
CF
r
CF
12
nn
nn r
CF
r
CF
r
CFCFNPV
1...
11 3
321
CF1
at time 0 at the very beginning of the project
• when decision to go ahead made any costs incurred to make decision ignored
when added all together• almost always < $0
CF1
at time 0 includes
• capital cost usually equipment
• shipping, installation, training, etc. everything needed to get it up & running
• working capital cash
• flotation costs
start-up costs
CF1
at time 0 also includes
• present value of Capital Cost Allowance minus the CCA of salvage revenue
PVCCA tax shield
• PV of getting working capital back
PVworking capital
CF1
workingshieldCCA tax outlay initial1 PVPVPVCF
CF1
ddee
workingoninstallatiequipment
fwfw
cccPV
1outlay initial
start-up costs
weighted average flotation cost
fa
Flotation Costs
issuing new stocks or bonds isn’t free weighted average flotation cost
fd=2%
debt
fe=5%
equity1/2
.5
1/1
1
2/1
2
wd=.50 wd=.33wd=.67
we=.50 we=.67we=.33
ddeea fwfwf
Flotation Costs
issuing new stocks or bonds isn’t free weighted average flotation cost
• use target weights over the long term,
firm will issue securities in these percentages
Flotation Costs
project firm’s target D/E ratio is .6 flotation costs
• 5% equity
• 3% debt
Flotation Costs
6.e
d
10
6
1
6.
de
d
v
dwd
10
6
e
d
16
6
106
6
625.16
10
v
ewe
375.dw
ddeea fwfwf 03.375.05.625. af
0425.af
Flotation Costs
0425.af
a
workingoninstallatiequipment
-f
cccPV
1outlay initial
0425.1
0$100,000.0outlay initial -
PV
104,438.64$outlay initial PV
workingshieldCCA tax 1 1PVPV
fwfw
cccCF
ddee
workingoninstallatiequipment
you get the cash (working capital) back at end of project
what’s that refund worth to you today?
nr
FVPV
1
n
working
ddee
workingoninstallatiequipment
r
cPV
fwfw
cccCF
11 shieldCCA tax 1
workingshieldCCA tax outlay initial1 PVPVPVCF
n
workingworking
r
cPV
1
CCA tax shield
tCCA CCA tax shield rate
tc corporate tax rate
r discount rate
s salvage value
n number of periods in the project
nCCA
cCCA
CCA
cCCAoninstallatiequipment
r)(rt
tst
r
r.
rt
ttccPV
1
1
1
501 shieldCCA tax
Equipment cost c $100,000
Installation & delivery cost c $10,000
Salvage s $17,000
when? n 6
Marginal tax rate tc40%
CCA tax rate tCCA20%
discount rate r 10%
6shieldCCA tax
)10.01(
1
10.020.0
40.020.0000,17
10.01
10.05.01
10.00.20
40.00.2010,000100,000 PV
0544125shieldCCA tax .,$PV
“hurdle rate”
nCCA
cCCA
CCA
cCCAoninstallatiequipment
r)(rt
tst
r
r.
rt
ttccPV
1
1
1
501 shieldCCA tax
CF1
n
working
nCCA
cCCA
CCA
cCCAoninstallatiequipment
ddee
workingoninstallatiequipment
r
c
r)(rt
tst
r
r.
rt
ttcc
fwfw
ccc
CF
1
1
1
1
501
1
1
workingshieldCCA tax outlay initial1 PVPVPVCF
Productivity
considering new production system
• initial cost $1 million
• save $300,000/yr in inventory & receivables management costs
• last for 5 years
• CCA tax shield rate of 20%
• salvage value of $50,000
• no impact on Net Working Capital
• marginal tax rate is 40%
• required return is 8%.
Productivity
Equipment cost cequipment$1,000,000
Installation & delivery cost cinstallation$0
Working capital cworking$0
Benefit CF2…CFn+1$300,000
Salvage s $50,000
when? n 5
Flotation cost fa0%
Marginal tax rate tc40%
CCA tax rate tCCA20%
discount rate r 8%
Applications
cost-cutting proposals replacing an asset setting a bid price comparing equipment with different lifespans
Cost-Cutting Proposal
equip• $80,000
to buy & install
save• $35,000
pretax
lifespan• 5 years
NWC• $0
CCA tax rate• 20%
salvage• $0
tax rate• 40%
discount rate• 10%
Cost-Cutting Proposal
Equipment cost cequipment$80,000
Installation & delivery cost cinstallation$0
Working capital cworking$0
Benefit CF2…CFn+1$35,000·(1-tC)
Salvage s $0
Lifespan n 5
Flotation cost fa0%
Marginal tax rate tc40%
CCA tax rate tCCA20%
discount rate r 10%
Cost-Cutting Proposal
n
working
nCCA
cCCA
CCA
cCCAoninstallatiequipment
ddee
workingoninstallatiequipment
r
c
r)(rt
tst
r
r.
rt
ttcc
fwfw
ccc
CF
1
1
1
1
501
1
1
Cost-Cutting Proposal
5
5
1
10.1
0$
10.1
1
40.20.
40.20.0
10.1
10.501
10.20.
40.20.000,80$
00001
0$0$000,80$
)(
.
CF
Cost-Cutting Proposal
12 ... nCFCFNPV
rr
cPVn)1(
11
annuity
rr
tCFn
c
)1(
11
)1(
10.)10.1(
11
)40.1(00.000,35$5
Replacement?
original machine initial cost
• $150,000
purchased• 4 yrs ago
salvage today• $50,000
salvage in 6 yrs• $10,000
new machine initial cost
• $200,000
6-year life salvage in 6 yrs
• $30,000
cost savings• $75,000/year
net working capital• $0
CCA rate = 20%
required return = 15%
marginal tax rate = 44%
$150,000
-PV PV
PV
only question: What will be different if we do project?
Replacement?
n
working
nCCA
cCCAnet
CCA
cCCAoninstallatiequipmentnet
ddee
workingoninstallatiequipmentnet
r
cPV
r)(rt
tst
r
r.
rt
ttcc
fwfw
ccc
CF
1
1
1
1
501
1
salvage foregone
1
tr
FVPV
1
Replacement?
Equipment costnetcequipment
$150,000
Installation & delivery cost cinstallation$0
Working capital cworking$0
Benefit CF2…CFn+1$75,000·(1-TC)
Salvagenets $30,000
Lifespan n 6
Flotation cost fa0%
Marginal tax rate tc44%
CCA tax rate tCCA20%
discount rate r 15%
Replacement?
66
6
1
15.1
0$
15.1
000,10$
15.1
1
15.20.
44.20.000,10$000,30$
15.1
15.501
15.20.
44.20.000,150$
00001
00000,150$
.
CF
Setting a Bid Price
required return • 20%
5 trucks/year • for 4 years
truck platforms• $10,000 ea
facilities lease• $24,000/year
labor & material • $4,000/truck
new equipment• $60,000
salvage• $5,000
NWC• $40,000
CCA• 20%
tax• 43.5%
Setting a Bid Price
Equipment cost cequipment$60,000.00
Installation & delivery cost cinstallation$0
Working capital cworking$40,000.00
Benefit CF2…CFn+1$94,000.00·(1-
tc)
Salvage s $5,000.00
Lifespan n 4
Flotation cost fa0%
Marginal tax rate tc43.5%
CCA tax rate tCCA20%
discount rate r 20%