12
The Capital Budgeting Decision
Block, Hirt, and Danielsen
•Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter Outline
•
•
•
•
•
Capital budgeting decision
Cash flows in capital budgeting
Payback method
Net present value and internal rate of return
Discount or cutoff rate as cost of capital
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-2
Capital Budgeting Decision –
Administrative Considerations
• Involves planning expenditures for project with
minimum period of year or longer
• Capital expenditure decision requires
• Extensive planning
• Coordination of different departments
• Decisions affected by uncertainties involved in
•
•
•
•
•
Annual costs and inflows
Product life
Interest rates
Economic conditions
Technological changes
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-3
Capital Budgeting Decision –
Administrative Considerations
• Steps in decision-making process
•
•
•
•
Search for investment opportunities
Data collection
Evaluation and decision making
Reevaluation and adjustment
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-4
Capital Budgeting Procedures
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12-5
Accounting Flows versus
Cash Flows
• In capital budgeting decisions, emphasis on
cash flows rather than earnings
• Depreciation (noncash expenditure) added back
to profit to determine cash flow generated
• Emphasize proper evaluation techniques for
best economic choices and maximizing longterm wealth
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-6
Cash Flow and Revised Cash Flow for
Alston Corporation
• Net earnings before and after taxes are zero, but company
has $20,000 cash in bank
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12-7
Methods of Ranking
Investment Proposals
• Three methods
• Payback method
• Internal rate of return
• Net present value
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12-8
Payback Method
• Time required to recoup initial investment from Table
12-3:
• Investment A recoups $10,000 initial investment at end of
second year, while Investment B takes longer
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-9
Payback Method
• Advantages
• Easy to understand
• Emphasizes liquidity
• Useful in industries characterized by dynamic
technological developments
• Shortcomings
• Does not consider time value of money
• Ignores cash flows after cutoff period
• Can not find optimum or most economic solution to capital
budgeting problem
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12-10
Net Present Value
• Theoretically-valid model
• Well understood, widely used
• Sum of present values of all outflows and
inflows for project
• Usually discounted by firm’s Weighted Average
Cost of Capital (WACC)
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12-11
Net Present Value for
Investments A and B
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12-12
Internal Rate of Return (IRR)
• Measures investment profitability as return
percentage
• Find interest rate (i) in time value of money
problem
• Value of i which makes NPV = 0
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-13
IRR for Investments A and B
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12-14
Selection Strategy
• For project to be potentially accepted
• Profitability must equal or exceed cost of capital
• Mutually-exclusive projects
• Selecting one option precludes alternatives
• Non-mutually-exclusive projects
• Alternatives providing return in excess of cost
of capital selected
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-15
Selection Strategy
• For Investment A and B, assume 10% capital,
Investment B accepted if alternatives mutually
exclusive, both qualify if not
• IRR and NPV methods call for same decision with
some exceptions
• Two rules
• If investment has positive NPV, IRR exceeds of cost of
capital
• In certain cases, methods give different answers in
selecting best investment
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-16
Reinvestment Assumption
• IRR
• All inflows from given investment can be
reinvested at Internal Rate of Return (IRR)
• May be unrealistic to assume reinvestment at
equally high rate
• NPV
• Makes more conservative assumption that each
inflow can be reinvested at cost of capital or
discount rate
• Allows for certain consistency as inflows from
each project are assumed to have same
investment opportunity
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-17
The Reinvestment Assumption –
IRR and NPV
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12-18
Modified Internal Rate of Return
(MIRR)
• Combines reinvestment assumption of NPV
method with IRR method
• Discount rate that equates final value of
inflows with investment
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12-19
MIRR for Investment B
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12-20
Capital Rationing
• Artificial constraint on funds invested in given
period
• Only projects with highest NPV accepted
• Reasons for capital rationing
• Fear of too much growth
• Hesitation to use external sources of financing
• Can hinder firm from achieving maximum
profitability
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-21
Net Present Value Profile
• Graphical representation of net present value
of project at different discount rates
• Aspects to consider
• NPV at zero discount rate
• NPV as determined by normal discount rate (such
as cost of capital)
• IRR for project
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-22
Net Present Value Profile –
Graphic Representation
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12-23
Net Present Value Profile
with Crossover
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12-24
The Rules of Depreciation
• Assets classified into nine categories to
determine allowable depreciation
• Each class referred to as Modified Accelerated
Cost Recovery System (MACRS) category
• Some references made to Asset Depreciation
Range (ADR)— expected physical life of asset
or class of assets
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12-25
Categories for
Depreciation Write-Off
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12-26
Depreciation Percentages
(Expressed in Decimals)
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12-27
Depreciation Schedule
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12-28
Actual Investment Decision — Example
• Assume
• $50,000 depreciation of machinery with six-year
productive life
• Produces $18,500 income for first three years before
deductions for depreciation and taxes
• In last three years, income before depreciation and taxes
$12,000
• Corporate tax rate 35% and cost of capital 10%
• For each year
• Depreciation subtracted from earnings before
depreciation and taxes to arrive at earnings before taxes
• Taxes subtracted to determine earnings after taxes
• Depreciation added to earnings to arrive at cash flows
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-29
Cash Flow Related to
Purchase of Machinery
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12-30
Net Present Value Analysis
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12-31
The Replacement Decision
• Investment decision for new technology
• Includes several additions to basic investment
situation
• Sale of old machine
• Tax consequences
• Can be analyzed by
• Total analysis of both old and new machines
• Incremental analysis of cash-flow changes
between old and new machines
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12-32
Sale of Old Asset
• Cash inflow from sale of old asset based on
sales price and related tax factors
• For tax factors, book value of old asset
compared with sales price to find taxable gain
or loss
• Loss can be written off against other income
for corporation
• Gain taxed at corporation’s normal rate
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12-33
Book Value of Old Asset and
Net Cost of New Asset
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12-34
Incremental Depreciation Benefits
• Cash flow analysis on basis of
•
•
•
Incremental gain in depreciation
Related tax-shield benefits
Cost savings
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12-35
Cost-Savings Benefits
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12-36
Present Value of the
Total Incremental Benefits
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12-37
Elective Expensing
• Businesses can write off certain tangible
properties in purchased year for up to
$250,000 under 2008 Economic Stimulus Act
• Beneficial to small businesses
• Allowance phased out dollar for dollar
when total property purchases exceed
$800,000 in one year
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
12-38
13
Risk and Capital Budgeting
Block, Hirt, and Danielsen
Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter Outline
•
•
•
•
Risk in capital budgeting
Risk aversion
Risk and rate of return
Risk assessment – simulation models and
decision trees
• Impact of individual risky project on total risk
of firm
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-2
Definition of Risk
in Capital Budgeting
• Risk defined in terms of variability of possible
outcomes from given investment
• Risk measures — losses and uncertainty
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-3
Variability and Risk
• Three investment proposals illustrated in
following slide
• All investments in illustration have same
expected value
• Investment C is most risky due to variability
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-4
Variability and Risk
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-5
The Concept of Risk-Averse
• Risk avoidance unless adequate compensation
made
• Most investors and managers are risk-averse
• Prefer relative certainty as opposed to
uncertainty
• Expect higher value or return for risky
investments
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-6
Actual Measurement of Risk
•
Basic statistical devices used
ഥ = σ 𝐷𝑃
• Expected value: 𝐷
ഥ )2 𝑃
• Standard deviation: σ = σ(𝐷 − 𝐷
𝜎
• Coefficient of variation: 𝑉 = 𝐷ഥ
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-7
Probability Distribution with
Differing Degrees of Risk
• Larger standard deviation means greater risk
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13-8
Probability Distribution with
Differing Degrees of Risk
• Direct comparison of standard deviations not helpful if
expected values of investments differ
• Standard deviation of $600 with expected value of $6,000
indicates less risk than standard deviation of $190 with
expected value of $600
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-9
Coefficient of Variation (V)
• Size difficulty can be eliminated by introducing
coefficient of variation (V)
• Formula: 𝑉 =
𝜎
ഥ
𝐷
• The larger the coefficient, the greater the risk
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-10
Risk Measure — Beta (β)
• Risk measure widely used with portfolios of
common stock
• Measures volatility of returns on individual
stock relative to returns on stock market index
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13-11
Betas for Five-Year Period
(Ending January 2013)
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13-12
Risk and the
Capital Budgeting Process
• Informed investor or manager differentiates
between
• Investments that produce ‘certain’ returns
• Investments that produce expected value of
return, but have high coefficient of variation
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-13
Risk-Adjusted Discount Rate
• Different capital-expenditure proposals with
different risk levels require different discount
rates
• Project with normal amount of risk discounted at
cost of capital
• Project with greater than normal risk discounted
at higher rate
• Risk assumed to be measured by coefficient of
variation (V)
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-14
Relationship of Risk
to Discount Rate
• Example of
increasing
risk-aversion
at higher
levels of risk
and potential
return
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13-15
Increasing Risk over Time
• Accurate forecasting becomes more difficult
farther out in time
• Unexpected events
• Create higher standard deviation in cash flows
• Increase risk associated with long-lived projects
• Use of progressively higher discount rates to
compensate for risk penalizes later cash flows
more than earlier ones
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-16
Qualitative Measures
• Setting up risk classes based on qualitative
considerations
• Equates discount rate to perceived risk
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13-17
Capital Budgeting Analysis
• Investment B preferred based on NPV
calculation without considering risk factor
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13-18
Capital-Budgeting Decision
Adjusted for Risk— Example
• Assume
• Investment A calls for addition to normal product
line, assigned 10% discount rate
• Investment B represents new product in foreign
market, must carry 20% discount rate to adjust for
large risk component
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13-19
Capital-Budgeting Decision
Adjusted for Risk— Example
• Investment A is only acceptable alternative after
adjusting for risk factor
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13-20
Simulation Models
• Deal with uncertainties involved in forecasting
outcome of capital budgeting projects or
other decisions
• Computers enable simulation of various economic
and financial outcomes using number of variables
• Monte Carlo model uses random variable for
inputs
• Rely on repetition of same random process as
many as several hundred times
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-21
Simulation Models
• Have ability to test various combinations of events
• Used to test possible changes in variable
conditions included in process
• Allow planner to ask “what if” questions
• Driven by sales forecasts, with assumptions to
derive income statements and balance sheets
• Generate probability acceptance curves for capital
budgeting decisions
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-22
Simulation Flow Chart
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13-23
Decision Trees
• Help lay out sequence of possible decisions
• Present tabular or graphical comparison
between investment choices
• Provide important analytical process
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13-24
Decision Trees
• Assume a firm is considering two choices
• Project A— Expand semiconductor production for sale
to end users
• Project B— Enter highly competitive personal
computer market using firm’s technology
• Both projects cost $60 million, with different net
present value (NPV) and risk
• Project A— High likelihood of positive rate of return,
reasonable expectation of long-term growth
• Project B— Stiff competition may result in loss of more
money or higher profit if sales high
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-25
Decision Trees
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13-26
The Portfolio Effect
• Considers impact of given investment
proposal on overall firm risk
• Firm planning to invest in building products
industry carrying high degree of risk
• Primary business in manufacture of electronic
components for industrial use
• Investing firm could alter cyclical fluctuations inherent
in primary business, reduce overall risk exposure
• Could reduce standard deviation for entire company
• Overall risk exposure might diminish
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-27
Portfolio Risk
• Investment may change overall risk of firm
depending on relationship to other
investments
• Highly-correlated investments — do not diversify
against risk
• Negatively-correlated investments — greater risk
reduction
• Uncorrelated investments — some risk reduction
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-28
Coefficient of Correlation
• Represents extent of correlation among
various projects and investments
• May take on values anywhere from -1 to +1
• Real world – more likely measure between -.2
negative correlation and +.3 positive correlation
• Risk can be reduced by
• Combining risky assets with low-risk or negatively
correlated assets
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-29
Coefficient of Correlation — Two
Merger Candidates
• Merger with Negative Correlation Inc. appears to be
best decision
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13-30
Evaluation of Combinations
• Two primary objectives in choosing
combinations
• Achieve highest possible return at given risk level
• Provide lowest possible risk at given return level
• Determining position of firm on efficient
frontier
• Willingness to take larger risks for superior returns
• Make conservative selection
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-31
Risk-Return Trade-Offs
• Best opportunities fall along left-most sector (line C–F–G)
• Points to right less desirable
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13-32
The Share Price Effect
• Firm risk impacts share prices
• When firm takes unnecessary or undesirable
risks
• Higher discount rate and lower valuation may be
assigned to stock in market
• Higher profits could have opposite impact on
stock price if such profits result from risky
ventures
• Overall firm valuation could decrease with
increase in coefficient of variation or beta
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
13-33
11
Cost of Capital
Block, Hirt, and Danielsen
Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter Outline
• Cost of capital and its importance
• Discount rates used to analyze investments
• Valuation and application to bonds, preferred
stock, and common stock
• Minimum cost of capital
• Increase in cost of capital with increase in
utilization of finances
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-2
Cost of Capital
• In corporate finance, investment is made for
anticipated future return
• Vital to know appropriate discount rate
• Cost of acquiring funds
• Earning return equal to acquisition costs –
minimum acceptable return
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-3
The Overall Concept
• Investment
• Should not be judged against specific means of
financing used to implement
• Makes investment selection decisions
inconsistent
• Low-cost debt must be chosen carefully
• May result in overall risk increase
• May make all eventual forms of financing more
expensive
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-4
Determination of Cost of Capital
• Best understood through firm’s capital structure
• After-tax costs of individual financing sources multiplied
by weights assigned to them
• Sum gives weighted-average cost
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-5
Cost of Debt
• Measured by interest rate at which company
raises new capital
• Example: $1,000 bond paying $100 annual interest
– 10% yield
• Calculation complex if bond priced at discount or
premium from par value
• To determine cost of new debt in marketplace
• Firm computes yield on currently outstanding
debt
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11-6
Approximate Yield to Maturity (Y')
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11-7
Adjusting Yield
for Tax Considerations
• Yield to maturity indicates what firm must pay
on before-tax basis
• Interest payment on debt is tax deductible
• True cost less than stated cost
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-8
Adjusting Yield
for Tax Considerations
• After-tax cost of debt
Kd (Cost of debt) = Y(1 – T)
• Yield = 10.84%; Tax rate = 35%
Kd (Cost of debt) = Y(1 – T)
Kd (Cost of debt) = 10.84% (1 – 0.35)
= 10.84% × 0.65
= 7.05%
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-9
Cost of Preferred Stock
• Constant annual payment with no maturity date
for principal payment
• Divide dividend payment by net price or proceeds
received
• Represents rate of return to preferred stockholders
and annual cost to corporation for issue
• Preferred stock dividend not tax deductible, no
downward tax adjustment
• Proceeds to firm equal selling price in market
minus flotation cost
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-10
Cost of Preferred Stock
• The cost of preferred stock is as follows
Kp (Cost of preferred stock) =
𝐷𝑝
𝑃𝑝 − 𝐹
• Kp = Cost of preferred stock; Dp = Annual dividend on
preferred stock; Pp = Price of preferred stock; F = Flotation, or
selling cost
• Annual dividend $10.50; preferred stock $100; flotation, or
selling cost $4
Kp =
𝐷𝑝
𝑃𝑝 − 𝐹
=
$10.50
$100−4
=
$10.50
$96
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
= 10.94
11-11
Cost of Common Equity –
Valuation Approach
• In determining the cost of common stock, the firm must be
sensitive to pricing and performance demands of current and
future stockholders
• Dividend valuation model:
𝐷1
𝑃0 =
𝐾𝑒 − 𝑔
• P0 = Price of the stock today
• D1 = Dividend at the end of the year (or period)
• Ke = Required rate of return; g = Constant growth rate in
dividends
• Assuming D1 = $2; P0 = $40, and g = 7%, Ke = 12%
𝐾𝑒 =
𝐷1
𝑃0
+𝑔 =
$2
$4
+ 7% = 5% + 7% = 12%
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-12
Alternate Calculation of the Required
Return on Common Stock
• Capital Asset Pricing Model (CAPM)
•
•
•
•
Kj = Rf + β(Km − Rf)
Kj = Required return on common stock
Rf = Risk-free rate of return, usually the current rate on
Treasury bill securities
β = Beta coefficient (measures the historical volatility of an
individual stock’s return relative to a stock market index
Km = return in the market as measured by an approximate
index
• Assuming Rf = 5.5%, Km = 12%, β = 1.0, Kj would be:
Kj = 5.5% + 1.0 (12% - 5.5%) = 5.5% + 1.0 (6.5%)
Kj = 5.5% + 6.5% = 12%
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-13
Cost of Retained Earnings
• Sources of capital for common stock equity
• Purchaser of new shares – external source
• Retained earnings – internal source
• Represent present and past earnings of firm minus
previously distributed dividends
• Belong to current stockholders – paid as dividends or
reinvested in firm
• Reinvestments represent source of equity capital
supplied by current stockholders
• Opportunity cost involved
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-14
Cost of Retained Earnings
• The cost of retained earnings is equivalent to the rate of return on
the firm’s common cost representing the opportunity cost
• Ke represents both the required rate of return on common stock,
and the cost of equity in the form of retained earnings
𝐷1
𝐾𝑒 =
+𝑔
𝑃0
•
•
•
•
Ke = Cost of common equity in the form of retained earnings
D1 = Dividend at the end of the first year, $2
P0 = Price of stock today, $40
G = Constant growth rate in dividends, 7%
𝐷1
$2
𝐾𝑒 =
+𝑔=
+ 7% = 5% + 7% = 12%
𝑃0
$4
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-15
Cost of New Common Stock
• Slightly higher return than Ke expected
• Represents required rate of return of present
stockholders
• Needed to cover distribution costs of new
securities
Cost of common equity in form of retained earnings =
𝐷1
𝐾𝑒 =
+𝑔
𝑃0
Cost of new common stock
𝐷1
𝐾𝑛 =
+𝑔
𝑃0 − 𝐹
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-16
Cost of New Common Stock
• Assuming
• D1 = $2
• P0 = $40
• F (Flotation or selling costs) = $4
• g = 7%
$2
𝐾𝑛 =
+ 7%
$40 − $4
$2
=
+ 7%
$36
= 5.6% + 7%
= 12.6%
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-17
Optimal Capital Structure –
Weighting Costs
• Desire to achieve minimum overall cost of
capital
• Calculated decisions required on appropriate
weights for
• Debt
• Preferred stock
• Common-stock financing
• Capital mix determined by
• Considering present capital structure
• Ascertaining if current position optimal
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-18
Optimal Capital Structure –
Weighting Costs
• Assessment of different plans:
• Firm able to initially reduce weighted average cost of
capital with debt financing
• Beyond Plan B, continued use of debt becomes
unattractive and greatly increases costs of sources of
financing
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-19
Cost of Capital Curve
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-20
Debt as a Percentage of Total Assets (2013)
Selected Companies with Industry Designations
Percent
Forest Labs (pharmaceuticals)
23%
Intel (semiconductors)
34%
Pfizer (pharmaceuticals
56%
ExxonMobil (integrated oil)
50%
Microsoft (computers)
44%
Home Depot (home repair products)
58%
PepsiCo (soft drinks and snacks)
70%
Hyatt Hotels (lodging)
37%
Gannett (newspapers and publishing)
63%
Delta Air Lines (air travel)
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
100%
11-21
Capital Acquisition and
Investment Decision Making
• Financial capital — bonds, preferred stock,
common equity
• Money raised by sale invested in
• Real capital of firm, long-term productive assets of
plant and equipment
• To minimize equity cost, firm may sell common
stock when prices are relatively high
• Balance between debt and equity required to
achieve minimum cost of capital
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-22
Cost of Capital Over Time
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11-23
Cost of Capital in the
Capital Budgeting Decision
• Current cost of capital for each source of
funds important for capital budgeting decision
• Required rate of return will be weighted average
cost of capital
• Common stock value of firm will stay same or
increase as long as firm earns cost of capital
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-24
Investment Projects Available
to the Baker Corporation
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11-25
Cost of Capital and Investment
Projects for the Baker Corporation
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-26
The Marginal Cost of Capital
• Market may demand higher cost of capital for
each fund if large amount of financing
required
• Equity (ownership) capital represented by
retained earnings
• Retained earnings cannot grow indefinitely as firm’s
capital must expand
• Retained earnings limited to past and present earnings
that can be redeployed into investments
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-27
The Marginal Cost of Capital
• Assumptions:
• 60% is amount of equity capital firm must maintain to keep
balance between fixed-income securities and ownership
interest
• Firm has $23.40 million of retained earnings available for
investment
• Adequate retained earnings to support capital structure
𝑋=
Retined earnings
Percent of retained earnings in the capital structure
• Where X represents size of capital structure that retained
earnings will support
$23.40 million
𝑋=
= $39 million
.60
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-28
Costs of Capital for
Different Amounts of Financing
Kmc in bottom right-hand portion of table represents marginal cost of capital
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-29
Increasing Marginal Cost of Capital
• Both Kmc and Ka represent cost of capital
• mc subscript after K indicates increase in marginal
cost of capital
• Increase because common equity now in
form of new common stock rather than
retained earnings
• After-tax cost of new common stock more
expensive than retained earnings because of
flotation costs
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-30
Increasing Marginal Cost of Capital
• Equation for cost of new common stock:
𝐾𝑛 =
=
𝐷1
$2
+𝑔 =
+ 7%
𝑃0 − 𝐹
$40 − $4
$2
+ 7% = 5.6% + 7% = 12.6%
$36
• $50 million figure can be derived thus:
Amount of lower−cost debt
𝑍=
Percent of debt in capital structure
𝑍=
$15 million
= $50 million
.30
• Where Z represents size of capital structure in which lowercost debt can be used
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-31
Cost of Capital for
Increasing Amounts of Financing
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11-32
Changes in the
Marginal Costs of Capital
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11-33
Marginal Cost of Capital
and Baker Corporation Projects
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11-34
Cost of Components
in the Capital Structure
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11-35
Performance of PAI and the Market
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11-36
Linear Regression of Returns
Between PAI and the Market
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-37
Linear Regression of Returns
Between PAI and the Market
• CAPM is expectational (ex ante) model, no guarantee
historical data will recur
• One area of empirical testing involves stability and
predictability of beta coefficient based on historical
data
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-38
The Security Market Line (SML)
• Under CAPM model, investor expects extra return above that of
riskless asset in order to justify additional risk
• Security Market Line (SML) identifies risk-return trade-off of
any common stock (asset) relative to company’s beta
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
11-39
The Security Market Line
and Changing Interest Rates
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11-40
The Security Market Line and
Changing Investor Expectations
• Pessimistic investors require larger premiums for assuming risks
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11-41
Post #1 Nathaniel Petrick
There are a few different methods for capital budgeting: payback method, net present value method,
and IRR method. The payback method is short, quick, but limited. The payback method focuses on
"the time required to recoup the initial investment". However, this does not take into account the
gains made by such investments after the period. The net present value method is the most widely
used method as it tends to work "theoretically" and "in practice" as noted in our text. This method
takes into account investment and future consequences to figure out the actual present value of the
money. The IRR or internal rate of return method is closely related to the net present value method as
it tells you what rate of return make net present value equal to zero. When you know this you can
easily figure out if a project will be profitable and relatively how profitable. Any project's rate of
return that sets net present value over zero will be a worthwhile project to accept (Block, 2017, p.
384-389).
Much of our calling in life as Christians is built on trust for the unknown, faith. This can be hard for
business owners, as we want as many definitive answers as possible to base our financial decisions
off of. However, as Christians first, we must recognize that the only worthwhile things God will ever
ask us to do will not only require faith, but an abundance of faith. Our job is to take the plunge.
When Proverbs 3:3-6 tells us to trust the Lord, it is coming from one of the wisest and wealthiest
men to ever walk this earth, King Solomon. I believe this relates to capital budgeting because we can
plan all day for the future. We are supposed to plan! However, King Solomon is reminding us that
the most important thing that leads to success is trusting the Lord. This may mean trusting Him even
when the numbers disagree.
Block, S.B., Hirt, G.A., Danielsen, B.R. (2017). Foundations of Financial Management, Sixteenth
Edition. New York, NY: McGraw-Hill Education.
Post #2 Kimberly Stevens
Capital costs are based on valuation techniques and are applied to bonds, preferred stock
and common stock and a mix of financing is applied to get financing. The value could increase
as larger amounts of financing are utilized. New ventures should be calculated comprehensively
against the costs of capital to the firm since, “through an investment financed by low-cost debt
might appear acceptable at first glance, the use of debt might increase the overall risk of the firm
and eventually make all forms of financing more expensive(Hirt, Block, & Danielsen, 2010,
p. 342).”
Where net present value might be beneficial is when a company wants to analyze the
profitability of a project investment or project. Cash inflow and outflow could be compared with
a discount or return rate and timer periods. Profitability is desirable and internal rate of return
should help calculate the potential of a new project. This discount rate may help calculate the net
present value and possibility of future growth. The risk should be determined by many parts of
the whole such as cash inflow, total investment costs, internal rate of return and number of
periods. The return on investment should be calculated by the percentage of money recuperated
verses the associated costs. Sometimes new products might not attract a marketable result and
can have a long-term effect on the performance of a company as it recovers from those losses but
when those loses are not as large and were expected then it can bear those losses comfortably
(Krause, 2006, p. 1).
One key to success, capital budgeting is a type of forecasting that calculates important
figures for a firm if they are to make clear the liabilities of future business projects. Capital
could be thought of as the cushion that might be able to protect a firm from taking the loss of its
divisions. Financial forecasting of capital budgeting helps offset the dangers and uncertainty of
risk taking in the enterprise. “Since the cost of erring in such decisions is quite high, managers
need to anticipate the problems of decline earlier in order to have more options in their portfolio
of strategies and, also, be able to divest sooner if that is their best strategic option (Harrigan,
1980, p. 34).” In the bible, Luke offers that “for which of you, intending to build a tower, sitteth
not down first, and counteth the cost, whether he have sufficient to finish it (Luke 14:28, Holy
Bible, King James Version)?” Essentially, it is wise to make sure you have the budget for a new
venture and make sure that you have calculated all costs, rates, and returns on investment and
that you can recover comfortably if the project does not meet financial expectations.
References
Bible Gateway. (2010). Luke 14:28. In The Holy Bible: King James Version.
Harrigan, K. R. (1980). Strategies for declining industries. Journal of Business Strategy (Pre1986), 1(000002), 34. Retrieved from
http://eres.regent.edu:2048/login?url=https://search-proquestcom.ezproxy.regent.edu/docview/209891292?accountid=13479
Hirt, G., Block, S., & Danielsen, B. (2010). Cost of Capital. In Foundations of Financial
Management (16th ed., p. 341). Retrieved from
https://connect.mheducation.com/connect/hmEBook.do?setTab=sectionTabs
Krause, A. (2006). Risk, capital requirements, and the asset structure of companies. Managerial
Finance, 32(9), 1. Retrieved from https://doiorg.ezproxy.regent.edu/10.1108/03074350610681961
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