31
CF 473.32 12 Winter 2014

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 ?

Embed Size (px)

Citation preview

Page 1: 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 ?

CF

473.32

12

Winter 2014

Page 2: 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 ?

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

Page 3: 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 ?

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

Page 4: 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 ?

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

Page 5: 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 ?

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

Page 6: 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 ?

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

Page 7: 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 ?

CF1

workingshieldCCA tax outlay initial1 PVPVPVCF

Page 8: 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 ?

CF1

ddee

workingoninstallatiequipment

fwfw

cccPV

1outlay initial

start-up costs

weighted average flotation cost

fa

Page 9: 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 ?

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

Page 10: 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 ?

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

Page 11: 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 ?

Flotation Costs

project firm’s target D/E ratio is .6 flotation costs

• 5% equity

• 3% debt

Page 12: 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 ?

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

Page 13: 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 ?

Flotation Costs

0425.af

a

workingoninstallatiequipment

-f

cccPV

1outlay initial

0425.1

0$100,000.0outlay initial -

PV

104,438.64$outlay initial PV

Page 14: 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 ?

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

Page 15: 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 ?

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

Page 16: 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 ?

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

Page 17: 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 ?

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

Page 18: 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 ?

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%.

Page 19: 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 ?

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%

Page 20: 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 ?

Applications

cost-cutting proposals replacing an asset setting a bid price comparing equipment with different lifespans

Page 21: 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 ?

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%

Page 22: 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 ?

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%

Page 23: 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 ?

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

Page 24: 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 ?

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

Page 25: 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 ?

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

Page 26: 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 ?

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?

Page 27: 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 ?

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

Page 28: 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 ?

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%

Page 29: 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 ?

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

Page 30: 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 ?

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%

Page 31: 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 ?

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%