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15-1 Chapter 15 Required Returns and the Cost of Capital © 2001 Prentice-Hall, Inc. Fundamentals of...
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Transcript of 15-1 Chapter 15 Required Returns and the Cost of Capital © 2001 Prentice-Hall, Inc. Fundamentals of...
![Page 1: 15-1 Chapter 15 Required Returns and the Cost of Capital © 2001 Prentice-Hall, Inc. Fundamentals of Financial Management, 11/e Created by: Gregory A. Kuhlemeyer,](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649e365503460f94b25642/html5/thumbnails/1.jpg)
15-1
Chapter 15Chapter 15
Required Returns Required Returns and the Cost of and the Cost of
CapitalCapital
Required Returns Required Returns and the Cost of and the Cost of
CapitalCapital© 2001 Prentice-Hall, Inc.
Fundamentals of Financial Management, 11/eCreated by: Gregory A. Kuhlemeyer, Ph.D.
Carroll College, Waukesha, WI
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15-2
Required Returns and Required Returns and the Cost of Capitalthe Cost of CapitalRequired Returns and Required Returns and the Cost of Capitalthe Cost of Capital
Creation of Value
Overall Cost of Capital of the Firm
Project-Specific Required Rates
Group-Specific Required Rates
Total Risk Evaluation
Creation of Value
Overall Cost of Capital of the Firm
Project-Specific Required Rates
Group-Specific Required Rates
Total Risk Evaluation
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15-3
Key Sources of Key Sources of Value CreationValue CreationKey Sources of Key Sources of Value CreationValue Creation
Growthphase ofproduct
cycle
Barriers tocompetitive
entry
Other --e.g., patents,
temporarymonopoly
power,oligopolypricing
Cost
Marketingand
price
Perceivedquality
Superiororganizational
capability
Industry AttractivenessIndustry Attractiveness
Competitive AdvantageCompetitive Advantage
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15-4
Overall Cost of Overall Cost of Capital of the FirmCapital of the Firm
Cost of Capital is the required rate of return on the various types of financing. The overall cost of capital is a weighted average of the individual required rates of return (costs).
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15-5
Type of Financing Mkt Val Weight
Long-Term Debt $ 35M 35%
Preferred Stock $ 15M 15%
Common Stock Equity $ 50M 50%
$ 100M 100%
Market Value of Market Value of Long-Term FinancingLong-Term Financing
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15-6
Cost of Debt Cost of Debt is the required rate of return on investment of the lenders of a company.
ki = kd ( 1 - T )
Cost of DebtCost of Debt
P0 =Ij + Pj
(1 + kd)jn
j =1
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15-7
Assume that Basket Wonders (BW) has $1,000 par value zero-coupon bonds
outstanding. BW bonds are currently trading at $385.54 with 10 years to maturity. BW tax bracket is 40%.
Determination of Determination of the Cost of Debtthe Cost of Debt
$385.54 =$0 + $1,000
(1 + kd)10
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15-8
(1 + kd)10 = $1,000 / $385.54= 2.5938
(1 + kd) = (2.5938) (1/10)
= 1.1 kd = .1 or 10%
ki = 10% ( 1 - .40 )
kkii = 6%6%
Determination of Determination of the Cost of Debtthe Cost of Debt
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Cost of Preferred Stock Cost of Preferred Stock is the required rate of return on investment of the preferred shareholders of the company.
kP = DP / P0
Cost of Preferred StockCost of Preferred Stock
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15-10
Assume that Basket Wonders (BW) has preferred stock outstanding with par value of $100, dividend per share
of $6.30, and a current market value of $70 per share.
kP = $6.30 / $70
kkPP = 9%9%
Determination of the Determination of the Cost of Preferred StockCost of Preferred Stock
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Dividend Discount ModelDividend Discount Model
Capital-Asset Pricing Capital-Asset Pricing ModelModel
Before-Tax Cost of Debt Before-Tax Cost of Debt plus Risk Premiumplus Risk Premium
Cost of Equity Cost of Equity ApproachesApproaches
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Dividend Discount ModelDividend Discount ModelDividend Discount ModelDividend Discount Model
The cost of equity capitalcost of equity capital, ke, is the discount rate that equates the
present value of all expected future dividends with the current
market price of the stock. D1 D2 D
(1+ke)1 (1+ke)2 (1+ke)+ . . . ++P0 =
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Constant Growth ModelConstant Growth ModelConstant Growth ModelConstant Growth Model
The constant dividend growth constant dividend growth assumptionassumption reduces the model to:
ke = ( D1 / P0 ) + g
Assumes that dividends will grow at the constant rate “g” forever.
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Assume that Basket Wonders (BW) has common stock outstanding with a current market value of $64.80 per share, current dividend of $3 per share, and a dividend
growth rate of 8% forever.
ke = ( D1 / P0 ) + g
ke = ($3(1.08) / $64.80) + .08
kkee = .05 + .08 = .13.13 or 13%13%
Determination of the Determination of the Cost of Equity CapitalCost of Equity Capital
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15-15
Growth Phases ModelGrowth Phases ModelGrowth Phases ModelGrowth Phases Model
D0(1+g1)t Da(1+g2)t-a
(1+ke)t (1+ke)tP0 =
The growth phases assumption growth phases assumption leads to the following formula leads to the following formula
(assume 3 growth phases):(assume 3 growth phases):
t=1
a
t=a+1
b
t=b+1
Db(1+g3)t-b
(1+ke)t
+
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15-16
Capital Asset Capital Asset Pricing ModelPricing ModelCapital Asset Capital Asset Pricing ModelPricing Model
The cost of equity capital, ke, is equated to the required rate of
return in market equilibrium. The risk-return relationship is described by the Security Market Line (SML).
ke = Rj = Rf + (Rm - Rf)j
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15-17
Assume that Basket Wonders (BW) has a company beta of 1.25. Research by Julie Miller suggests that the risk-free rate is 4% and the expected return on
the market is 11.2%
ke = Rf + (Rm - Rf)j
= 4% + (11.2% - 4%)1.25
kkee = 4% + 9% = 13%13%
Determination of the Determination of the Cost of Equity (CAPM)Cost of Equity (CAPM)
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15-18
Before-Tax Cost of Debt Before-Tax Cost of Debt Plus Risk PremiumPlus Risk PremiumBefore-Tax Cost of Debt Before-Tax Cost of Debt Plus Risk PremiumPlus Risk Premium
The cost of equity capital, ke, is the sum of the before-tax cost of debt
and a risk premium in expected return for common stock over debt.
ke = kd + Risk Premium*
* Risk premium is not the same as CAPM risk premium
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15-19
Assume that Basket Wonders (BW) typically adds a 3% premium to the
before-tax cost of debt.
ke = kd + Risk Premium
= 10% + 3%
kkee = 13%13%
Determination of the Determination of the Cost of Equity (kCost of Equity (kdd + R.P.) + R.P.)
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15-20
Constant Growth Model 13%13%
Capital Asset Pricing Model 13%13%
Cost of Debt + Risk Premium 13%13%
Generally, the three methods will not agree.
Comparison of the Comparison of the Cost of Equity MethodsCost of Equity Methods
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15-21
Cost of Capital = kx(Wx)
WACC = .35(6%) + .15(9%) + .50(13%)
WACC = .021 + .0135 + .065 = .0995 or 9.95%
Weighted Average Weighted Average Cost of Capital (WACC)Cost of Capital (WACC)
n
x=1
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15-22
1.1. Weighting SystemWeighting System
Marginal Capital Costs
Capital Raised in Different Proportions than WACC
Limitations of the WACCLimitations of the WACC
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15-23
2.2. Flotation Costs Flotation Costs are the costs associated with issuing securities such as underwriting, legal, listing, and printing fees.
a. Adjustment to Initial Outlay
b. Adjustment to Discount Rate
Limitations of the WACCLimitations of the WACC
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15-24
A measure of business performance.
It is another way of measuring that firms are earning returns on their invested capital that exceed their cost of capital.
Specific measure developed by Stern Stewart and Company in late 1980s.
Economic Value AddedEconomic Value Added
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EVA = NOPAT – [ Cost of Capital x Capital Employed ]
Since a cost is charged for equity capital also, a positive EVA generally indicates shareholder value is being created.
Based on Economic NOT Accounting Profit.
Economic Value AddedEconomic Value Added
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Add Flotation Costs (FC) to the Initial Cash Outlay (ICO).
Impact: ReducesReduces the NPV
Adjustment to Adjustment to Initial Outlay (AIO)Initial Outlay (AIO)
NPV = n
t=1
CFt
(1 + k)t- ( ICO + FC )
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15-27
Subtract Flotation Costs from the proceeds (price) of the security and
recalculate yield figures.
Impact: IncreasesIncreases the cost for any capital component with flotation costs.
Result: Increases the WACC, which decreasesdecreases the NPV.
Adjustment to Adjustment to Discount Rate (ADR)Discount Rate (ADR)
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15-28
Initially assume all-equity financing.
Determine project beta.
Calculate the expected return.
Adjust for capital structure of firm.
Compare cost to IRR of project.
Determining Project-Specific Determining Project-Specific Required Rates of ReturnRequired Rates of Return
Use of CAPM in Project Selection:
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15-29
Difficulty in Determining Difficulty in Determining the Expected Returnthe Expected Return
Locate a proxy for the project (much easier if asset is traded).
Plot the Characteristic Line relationship between the market portfolio and the proxy asset excess returns.
Estimate beta and create the SML.
Determining the SML:
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15-30
Project Acceptance Project Acceptance and/or Rejectionand/or Rejection
SML
X
XX
X
XX
X
O O
O
O
O
O
O
SYSTEMATIC RISK (Beta)
EX
PE
CT
ED
RA
TE
OF
RE
TU
RN
Rf
Accept
Reject
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15-31
1. Calculate the required return for Project k (all-equity financed).
Rk = Rf + (Rm - Rf)k
2. Adjust for capital structure of thefirm (financing weights).
Weighted Average Required Return = [ki][%
of Debt] + [Rk][% of Equity]
Determining Project-Specific Determining Project-Specific Required Rate of ReturnRequired Rate of Return
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15-32
Assume a computer networking project is being considered with an IRR of 19%.
Examination of firms in the networking industry allows us to estimate an all-equity beta of 1.5. Our firm is financed with 70%
Equity and 30% Debt at ki=6%.
The expected return on the market is 11.2% and the risk-free rate is 4%.
Project-Specific Required Project-Specific Required Rate of ReturnRate of Return ExampleExample
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15-33
ke = Rf + (Rm - Rf)j
= 4% + (11.2% - 4%)1.5
kkee = 4% + 10.8% = 14.8%14.8%
WACCWACC = .30(6%) + .70(14.8%)= 1.8% + 10.36% = 12.16%12.16%
IRR IRR = 19%19% > WACC WACC = 12.16%12.16%
Do You Accept the Project?Do You Accept the Project?
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Determining Group-Specific Determining Group-Specific Required Rates of ReturnRequired Rates of Return
Initially assume all-equity financing. Determine group beta. Calculate the expected return. Adjust for capital structure of group. Compare cost to IRR of group
project.
Use of CAPM in Project Selection:
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15-35
Comparing Group-Specific Comparing Group-Specific Required Rates of ReturnRequired Rates of Return
Group-SpecificRequired Returns
Company Costof Capital
Systematic Risk (Beta)
Exp
ecte
d R
ate
of
Ret
urn
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15-36
Amount of non-equity financing relative to the proxy firm. Adjust project beta if necessary.
Standard problems in the use of CAPM. Potential insolvency is a total-risk problem rather than just systematic risk (CAPM).
Qualifications to Using Qualifications to Using Group-Specific RatesGroup-Specific Rates
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15-37
Risk-Adjusted Discount Rate Approach (RADR)
The required return is increased (decreased) relative to the firm’s
overall cost of capital for projects or groups showing greater
(smaller) than “average” risk.
Project Evaluation Project Evaluation Based on Total RiskBased on Total Risk
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Probability Distribution Approach
Acceptance of a single project with a positive NPV depends on the dispersion of NPVs and the
utility preferences of management.
Project Evaluation Project Evaluation Based on Total RiskBased on Total Risk
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Firm-Portfolio ApproachFirm-Portfolio Approach
B
C
A
IndifferenceCurves
STANDARD DEVIATION
EX
PE
CT
ED
VA
LU
E O
F N
PV
Curves show“HIGH”
Risk Aversion
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15-40
Firm-Portfolio ApproachFirm-Portfolio Approach
B
C
A
IndifferenceCurves
STANDARD DEVIATION
EX
PE
CT
ED
VA
LU
E O
F N
PV
Curves show“MODERATE”Risk Aversion
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Firm-Portfolio ApproachFirm-Portfolio Approach
B
C
A
IndifferenceCurves
STANDARD DEVIATION
EX
PE
CT
ED
VA
LU
E O
F N
PV
Curves show“LOW”
Risk Aversion
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jj = = juju [ 1 + ( [ 1 + (B/SB/S)(1-)(1-TTCC) ]) ]
j: Beta of a levered firm.
ju: Beta of an unlevered firm (an all-equity financed firm).
B/S: Debt-to-Equity ratio in Market Value terms.
TC : The corporate tax rate.
Adjusting Beta for Adjusting Beta for Financial LeverageFinancial Leverage
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Adjusted Present Value (APV) is the sum of the discounted value of a
project’s operating cash flows plus the value of any tax-shield benefits of
interest associated with the project’s financing minus any flotation costs.
Adjusted Present ValueAdjusted Present Value
APV = UnleveredProject Value + Value of
Project Financing
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Assume Basket Wonders is considering a new $425,000 automated basket weaving machine that will save $100,000 per year for the next 6 years. The required rate on
unlevered equity is 11%.
BW can borrow $180,000 at 7% with $10,000 after-tax flotation costs. Principal is repaid at $30,000 per year (+ interest).
The firm is in the 40% tax bracket.
NPV and APV ExampleNPV and APV Example
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What is the NPVNPV to an all-equity- to an all-equity-financed firmfinanced firm?
NPV = $100,000[PVIFA11%,6] - $425,000
NPV = $423,054 - $425,000
NPVNPV = -$1,946-$1,946
Basket Wonders Basket Wonders NPV SolutionNPV Solution
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What is the APVAPV?
First, determine the interest expense.
Int Yr 1 ($180,000)(7%) = $12,600Int Yr 2 ( 150,000)(7%) = 10,500Int Yr 3 ( 120,000)(7%) = 8,400Int Yr 4 ( 90,000)(7%) = 6,300Int Yr 5 ( 60,000)(7%) = 4,200Int Yr 6 ( 30,000)(7%) = 2,100
Basket Wonders Basket Wonders APV SolutionAPV Solution
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Second, calculate the tax-shield benefits.
TSB Yr 1 ($12,600)(40%) = $5,040
TSB Yr 2 ( 10,500)(40%) = 4,200TSB Yr 3 ( 8,400)(40%) = 3,360TSB Yr 4 ( 6,300)(40%) = 2,520TSB Yr 5 ( 4,200)(40%) = 1,680TSB Yr 6 ( 2,100)(40%) = 840
Basket Wonders Basket Wonders APV SolutionAPV Solution
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Third, find the PV of the tax-shield benefits.
TSB Yr 1 ($5,040)(.935) = $4712TSB Yr 2 ( 4,200)(.873) = 4201TSB Yr 3 ( 3,360)(.816) = 2742TSB Yr 4 ( 2,520)(.763) = 1923TSB Yr 5 ( 1,680)(.713) = 1198TSB Yr 6 ( 840)(.666) = 559
PV = $15335PV = $15335
Basket Wonders Basket Wonders APV SolutionAPV Solution
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What is the APVAPV?
APV = NPV + PV of TS - Flotation Cost
APV = -$1,946 + $15,335 - $10,000
APVAPV = $3,389$3,389
Basket Wonders Basket Wonders NPV SolutionNPV Solution