cfa1_corporate finance and equity investment training
TRANSCRIPT
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December 28, 2011
CFA Level 1
Corporate Finance and Equity
Investments
James Lam, M.Sc. CFA
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Introduction to Corporate FinanceWhat is f inance?
What is the distinction between f inancial and real assets?
What is corporate f inance?
What is the role of f inancial assets in corporate f inance?
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Week 1Financial Markets and FinancialInstrumentsHow do f irms f inance their investments?
Ear nings (free cash flow, inter nal capital)
Equity capital (exter nal ± public or pr ivate)
Debt capital (exter nal)
Public and pr ivate capital
Trading of public capital
New issues
Secondar y trading
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Equity IssuesFir st time a f irm seek s public equity is called an initial public
offer ing (IPO)
Pr imar y issue: new equity is issued
Secondar y issue: existing pr ivate equity is sold to outside investor s (most
pr ivatisations take this form)
Legal and under wr iting ser vices provided by investment bank s
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Debt IssuesBank loans ± not publicly traded
Corporate Bonds ± traded actively in the secondar y market
Debt capital and equity capital account for most of the f irm¶s
f inancial capital
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Def inition of DebtFixed claim
S pecif ies what needs to be repaid to the investor and when
Default r isk ± r isk that the repayment plan is not fulf illed
Conver sion options ± covenants that allow debt to be reclassif ied as equity
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Def inition of EquityR esidual claim
Does not s pecif y a repayment plan
R epayment is def ined as the residual: whatever is not claimed by other
claim holder s should go to the equity holder s Voting r ights: Equity holder s normally have a r ight to vote on impor tant
corporate decisions
Mer ger s, takeover s
Lar ge investments
Board representation
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Trends in Corporate FinanceGlobalisation
Deregulation
Financial innovation
Technological advances in the f inancial system
Secur itization
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What you should take homeYou should be able to
Under stand the distinction between a f ixed claim and aresidual claim
List the main attr i butes of a debt claim
List the main attr i butes of an equity claim
Descr i be the ways in which f irms raise funds for new investment
Descr i be the difference between pr ivate and public equity
Descr i be the difference between bank loans and corporate bonds
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R eadingsGr in blatt/Titman: Financial Markets and Corporate Strategy
Ch 1: over view of the process of raising capital for investment
Ch 2: over view of the process of raising debt capital
Ch 3: over view of the process of raising equity capital
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Problems1. Why do f irms use under wr iter s when they issue new equity?
2. In what ways do you think it matter s that debt holder s have a
f ixed claim when equity holder s have not?
3. In what ways do you think it matter s that equity holder s
have voting r ights when debt holder s have not?
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R eview problems1. Invest 95 and sell for 102 ± what is the retur n?
2. Invest 95 and sell for 102. Each transaction is char ged a 1%trading commission ± what is the retur n?
3. Invest 95 and sell for 102. You receive additional interest payments/dividends of 2 dur ing the holding per iod. What is the retur n?
4. Invest 95 and sell for 110 three year s later ± what is theannual retur n on your investment?
5. Invest 95 now and another 98 next year. In the following year you sell your investment for a total of 202. What is the
annual retur n on your investment?
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Week 2:Valuing Financial Assets: Por tfolioToolsTool box
Expected por tfolio retur n
Por tfolio var iance
Covar iance between the retur n on two assets
Optimal investment
³Fair´ pr ice of an asset means that the value equals the
purchasing pr iceEven if pr ices are ³fair´ there are still ways of investing your
money that is better than other s
Risk Aver sion
Investor s demand compensation for including r isk in their por tfolio
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Por tfolio weightsA por tfolio of f inancial assets can be represented in a
number of ways
The number of shares held in the var ious stock s (e.g. 1000shares in BT, 250 shares in Mark s&S pencer etc.)
The dollar-value held in the var ious stock s (e.g. £2,500 in
Lloyds Bank, £10,000 in Jar vis etc.)
As por tfolio weights: the dollar-weight of the var ious stock s (e.g. if total por tfolio is £100,000, then the por tfolio weight of
Lloyds is 0.025 and the por tfolio weight of Jar vis is 0.1 etc.)
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From por tfolio weights to por tfolioexpected retur n and var ianceTo determine the expected retur n and var iance of a por tfolio we
need to k now
The por tfolio weights
The expected retur n on the individual assets
The var iance of the retur n on the individual assets
The covar iance between the retur n on any pair of assets
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Expectation, Var iance and Covar ianceExpected retur n (³average´ retur n) is a location measure
Var iance of retur n is a s pread measure
Covar iance is a measure of how the retur n of two assets are ³related´ (they can move in the same or oppositedirections, or they can be uncorrelated)
If the retur ns move in the same directions, covar iance is positive, if the retur ns move in the opposite directions,covar iance is negative, and if uncorrelated, covar ianceis zero
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The in put data for a por tfolioof N assets N expected retur ns
N var iances
N(N-1)/2 covar iances
Plus N por tfolio weights
For FTSE100 there are therefore 100+100+100(99)/2 =
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Formulas
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Covar iance and CorrelationCovar iance is a measure of relatedness that depends on the unit of
measurement, so if the retur n is measured as a percent (e.g. 10
percent) or as a desimal (e.g. 0.10) the covar iance will be
different
Correlation is a measure of relatedness that is normalized to be
independent of the unit of measurement
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Covar iance and Correlation
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ij
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r r CovnCorrelatio
r Var r Var r r Cov
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),(
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The Mean-Standard Deviation Approach to InvestmentRisk aver se investor s don¶t like r isk
Var iance aver se investor s don¶t like r isk that comes as var iance
This is not the same in general ± var iance aver sion is a s pecialcase of r isk aver sion
Por tfolio theor y takes the var iance aver sion approach ± which in practice means that we assume investor s wish to maximize their expected retur n given a cer tain var iance, or minimize their var iance given a cer tain expected retur n
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Mean-Standard Deviation for Two-Asset Investments
),()1(2)()1()()(
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2
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r r Covwwr Var wr Var wr Var
r E wr wE r E
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!
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Por tfolio Frontier
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Mean-Std Dev for Por tfolios of theRisk Free Asset and a Risk y Asset
wr Var r Var wr Var
r r E wr r wr wE r E
P
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)()()(
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!!
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Covar iance as Mar ginal Var ianceWe can interpret the covar iance between the retur n on a stock and
the retur n on a por tfolio as the stock¶s mar ginal var iance
That is, if we increase the stock¶s por tfolio weight mar ginally, the por tfolio var iance will increase by approximately twice the
stock¶s covar iance with the por tfolio
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Algebraic ³ proof´
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What to take homeUnder standing of expected values, var iances, andcovar iances
Under standing of expected retur n and var iance for a por tfolio
Under standing of r isk aver sion and var iance aver sion
Under standing of the por tfolio frontier
Appreciation of the linear ity of expected retur n andstandard deviation for por tfolios consisting of the r isk
free asset and a r isk y por tfolio
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R eadingsChapter 4 in Gr in blatt/Titman
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Problems1. Var iance: Prove that E(x-E(x))2=Ex2-(E(x))2
2. Covar iance: Prove that E(x-E(x))(y-E(y))=Exy-E(x)E(y)
3. Take a time ser ies of retur ns 0.05, -0.03, 0.10, 0.04, -0.10,
0.20. Estimate the expected retur n and the var iance of
retur n.
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Week 3:From Mean-Var iance to the CAPMCapital Market Line
Finding the market por tfolio
Two-fund Separation
Optimal diver sif ication
Market vs idiosyncratic r isk
CAPM expected retur ns relationshi p
Expected retur n on assets depend on their covar iance (i.e.
their relatedness) with the market por tfolio
Estimating beta r isk
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Capital Market LineThe line that goes through the r isk free asset and the tangency
por tfolio
Identif ication? Maximization procedure
Simplif ying ³tr ick´, the excess retur n on any asset divided by its
covar iance with the tangency por tfolio, is constant
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Maximization programme to f ind theCapital Market LineWe can identif y the frontier por tfolios of r isk y assets
Consider investments consisting of the r isk free asset and a
frontier por tfolio ± these are represented by straight lines
For the frontier por tfolio that is the tangency por tfolio, the angle
of the straight line is the steepest
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Capital Market Line cont..
)(
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max
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r E wr wE r E r Var
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!
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Capital Market Line cont..The maximization programme normally leads to a fairly
complicated equation ± with two r isk y assets we get a quadratic
equation to solve
In the class exercises you will be asked to have a go at such a
problem
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Simplif ying ³tr ick´: f inding the CapitalMarket LineWe k now the expected retur n on all r isk y assets and the r isk free
retur n
The difference between the two is called the ³excess retur n´ for the asset
The excess retur n, divided by its covar iance with the tangency
por tfolio, is always constant
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Capital Market Line
F N N N N
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Example
06.17.
.06-.17
.06-.15R etur nExcess
002.001.0
001.002.001.
0001.002.
Var /Cov
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!
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Example cont..
5.,1.,4.
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CAPM: Risk and R etur nSince the excess retur n divided by the covar iance with thetangency por tfolio is constant across assets, we can der iveimpor tant relationshi ps between r isk and retur n
The covar iance with the tangency por tfolio is, if solved for thetangency por tfolio itself, equal to the var iance of the tangency
por tfolio
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Risk and R etur n
F T i F i
F T
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Secur ity Market LineThe expected retur n of secur ities is linear in their beta-factor s
In the (beta,expected retur n) plane, the line crossing through
(0,r F) and (1,E(r T)) is called the secur ity market line
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Proper ties of betasBeta is linear: the beta of a por tfolio of secur ities equals the
por tfolio-weighted average of the betas of the individual
secur ities
An implication is that the beta of the assets of the company
equals the value-weighted beta of the liabilities of the company
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Track ing por tfolios
A por tfolio track s another perfectly if the difference in the retur ns
of the por tfolios is a constant (possi bly zero)
Imperfect track ing: A por tfolio consisting of a weight (1-b) in ther isk free asset and a weight b in the tangency por tfolio track s a
stock with beta =b, because the two should have the same
expected retur n
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Estimating the r isk free retur n
For r isk free retur n use gover nment bond or gover nment bill data
(long or shor t term instruments backed by the gover nment)
The retur n offered on such instruments is a good proxy for theactual r isk free retur n
Alter native, use the average retur n of a zero-beta r isk y stock, or
the intercept with the y-axis if no zero-beta stock exists
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Estimating market r isk premia
Estimate the long-run average retur n on a broad stock market index and subtract the r isk free rate
Both the average stock market index retur n and the r isk free retur n change over time
The change in the difference is more volatile than thechanges in the individual time ser ies.
Therefore, estimate the long-run average index retur n f ir st. Do not estimate the difference between the market retur n and the r isk free rate directly
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Beta estimation
A raw beta estimate can be obtained from histor ical covar ianceand var iance estimates (or by a regression)
Average beta is one (this is the beta of the market index)
If the raw estimate exceeds (is below) one, we k now there is a possi bility that the raw beta is an overestimate (underestimate)
R aw beta estimates should be adjusted ± i.e. they should be
pulled down if they are above one or be bumped up if they are below one.
There are ways of optimally adjust beta estimates
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Beta Adjustment
Bloomber g adjustment
Adjusted beta = .66 times Unadjusted beta + .34 times One
R osen ber g adjustment
Adjustment also incorporates fundamental var iables (industr y var iables,company character istics such as size, etc..)
Also betas are adjusted sometimes to take into account infrequent trading problems
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What to take home
Two-fund separation
Capital Market Line vs Secur ity Market Line
Risk-R etur n relationshi ps
Track ing por tfolio
Parameter estimation: problems and current practice
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R eadings
Gr in blatt/Titman ch 5
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Problems
What is the track ing por tfolio for a real asset?
How would you estimate the beta of the assets of a f irm that has
traded debt and equity?
How would you estimate the beta of a company that has never
traded?
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Week 4: From CAPM to ArbitragePr icing Theor yMain purpose is to extend the valuation approach intomore advanced and flexi ble valuation models
CAPM can be thought of as a ³one-factor´ model(retur ns are determined by movements in the market por tfolio only) but has impor tant empir ical problems (systematic deviations from predictions)
APT extends to ³multi-factor´ pr icing that can mitigatesome of the CAPM¶s empir ical problems
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Risk Decomposition
The Market Model
One-factor (the retur n on the market por tfolio)
R elated to the CAPM modelThe regression estimates of the market model generates raw
beta-estimates for the CAPM
Risk Decomposition
Systematic (market) r isk: asset r isk that is explained by
market movements
Unsystematic (diver sif iable, idiosyncratic) r isk: asset r isk that
cannot be explained by market movements
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Market model regression
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Risk Decomposition
)var()var()var(
r isk ticidiosyncra)var(
r isk market )var()var(
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it
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APT: The arbitrage pr inci ple behind factor models
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APT: Factor pr icing
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Multi-factor models
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We do not k now what the factor s are!Can be evaluated statistically ± using a method called factor
analysis
The out put generates por tfolios associated with each factor
Can use f irm character istics or macroeconomic var iables as
proxies for the factor s
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Factor betas
The betas determine the asset¶s sensitivity to the factor s
A high loading on factor number 2 means that the asset
is par ticularly sensitive to r isk s associated with factor 2
Factor models extends into por tfolio analysis since the
factor betas of por tfolio is just the value-weightedaverage factor beta for the individual assets in the por tfolio
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Factor models: computing thevar iance-covar iance structureR ecall that computing the var iance-covar iance structure
requires a lar ge number of estimates
For N assets, N var iance estimates and N(N-1)/2covar iance estimates
N=100, 100 var iance estimates and 100(99)/2 = 4950
covar iance estimates
Using the market model, we can work out the
covar iance structure from the beta estimates, i.e. from
the N beta estimates
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Covar iance structure estimation
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Var iance estimation
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Track ing Por tfolio
Objective: to design a por tfolio that has cer tain factor
betas (or factor loadings)
Why? The use of track ing por tfolios are many
Risk management: if the company is subject to r isk s beyond
its control, e.g. currency r isk, it may create a track ing por tfolio
that off sets the r isk
Capital allocation: the company may wish to allocate capital
to investments that yield a greater retur n than their track ing
por tfolio and to reduce its exposure to investments that yield a
smaller retur n than their track ing por tfolio
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Designing a Track ing Por tfolio
Fir st, determine the number of relevant factor s (guesswork, statistical analysis)
Second, determine the factor betas of the investment you wish to track (statistical analysis, compar ison withexisting traded companies)
Third, gather a collection of different assets with k nown factor loadings
For th, cali brate your por tfolio such that the por tfoliofactor beta equals the tar get factor beta for each factor
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Example
8.0,3.0,1.0:Out put
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x x x
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Applying Pr icing Theor y
Use pr icing models to investment analysis (optimal investment strategies in f inancial markets ± diver sif ication)
Use pr icing models to cali brate investments (design of track ing
por tfolios)
Use pr icing models as a benchmark for real investment (compar ing real investment retur ns to the retur n on track ing
por tfolios)
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R eadings
Chapter 6 in Gr in blatt/Titman
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Problem
There are three relevant factor s dr iving asset retur ns
The factor structure of the debt of the company is (0.01, 0,0)
The factor structure of the equity of the company is (2,5,1)
The company consists of 1/3 debt and 2/3 equity
What is the factor structure of the company¶s real assets (investments)?
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Week 5: Investment Analysis ± thecase of Risk Free ProjectsApply pr icing technology to real investment analysis
Net Present Value R ule
Complications
Sunk cost
Oppor tunity cost
EVA and IRR
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Fisher Separation
With different tastes, why should investor s agree on
investment policy?
Long-term vs shor t termRisk y vs Risk free
Fisher separation
Agreement is optimal regardless of taste Net present value rule: Invest in all projects that cost less than
the value of the project¶s track ing por tfolio
NPV = PV(future investment) ± Investment cost
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Ingredients
Cash flows of our investment
Investment cost
Discount rates (if r isk free projects ± use a r isk free discount rate)
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Present Value = sum of discountedcash flows
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Net Present Value
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NPV and Arbitrage
3.
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Value Additivity of NPVs
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Mutually Exclusive Projects
This is an ³either-or´ situation ± you can invest in project A or you can invest in project B, but you cannot invest in both at the same time
Both projects may have positive NPV so are wor thwhileon their own
³Either-or´ situations of ten ar ise naturally. For instance,
all timing decisions are mutually exclusive. You can invest now or you can invest in the future, but youcannot invest both now and in the future.
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Which project to choose when they aremutually exclusiveThe choice cr iter ion is to maximize the net present value of
investment.
Therefore, if you have two or more mutually exclusive projects to
choose from you should choose the one with the most positive
NPV.
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Capital Constraints
There are situations in which you may have more projects with
positive NPV available than you have funds for investment ± i.e.
you have a budget constraint
Then the choice cr iter ion is to invest in the projects that offer the
greatest prof itability index
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Prof itability Index
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Example
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Example cont.
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Economic Value Added
EVA is a prof itability measure that has become widely used in corporations ± initially to replace accounting ear nings or prof it measures
Accounting measures do not always measure economic performance (depreciation cost, for instance, is not acash flow and should not be included in project evaluation)
Accounting measures are therefore not directly consistent with NPV
Economic Value Added is consistent with NPV
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EVA: Def inition
Three components
Cash flow
Change in asset base
Economic retur n on assets
EVA(t) = Ct + (It ± It-1) ± r It-1
EVA(t) = Ct + It ± (1+r)It-1
Discounted sum of EVA(t) = Net Present Value
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EVA, cont.
Investment of 100
The f ir st year cash flow is 50
The second year cash flow is 150
Discount rate is 10%
Assets are depreciated by 50% in the f ir st year and by 100% in
the second year.
NPV = -100 + 50/1.1+150/1.12=69.42
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EVA, cont.
EVA(0) = -100(cash flow)+(100-0)(change in assets)-0(0.1)(economic cost of initial assets) = 0
EVA(1)=50(cash flow)+(50-100)(change in assets)-
100(0.1)(economic cost of initial assets) = -10
EVA(2)=150(cash flow)+(0-50)(change in assets-50(0.1)(economic cost of initial assets)= 95
Discounted EVA = EVA(0)+EVA(1)/1.1+EVA(2)/1.12 = 69.42 = NPV
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IRR : Inter nal R ate of R etur n
Of ten manager s base investment decision on the IRR instead of the NPV
The rule is: if IRR is greater than the discount rate (i.e.the cost of capital) then adopt the project
In many cases this leads to the same investment decision, as IRR is greater than the discount rate only if
the NPV is positive
In other cases this is not true however, so to be safealways use NPV or EVA calculations
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IRR
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Example
Investment cost = 100
Fir st year¶s cash flow = 150
Discount rate 10%
NPV = -100+150/1.1=36.36
IRR : 0=-100+150/(1+IRR ) yields 50%
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Projects that have the cash flow prof ileof a loan³Investment cost´ = 150
Next year¶s cash flow = -100
Discount rate = 10%
NPV = 150 ± 100/1.1 = 59.09
= ± + -
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Problems with IRR
IRR cr iter ion is sensitive to the ty pe of cash flow (asset
or liability?)
IRR is not unique in general (for T per iod projects therecan be up to T different IRRs)
IRR is not appropr iate for mutually exclusive projects
as small projects with high IRR and small NPV might then be preferred to lar ge projects with low IRR and
lar ge NPV
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IRR and mutually exclusive projects
Discount rate 2%
Project A: -10, -16, +30
Project B: -10, 2, 11
NPV(A) = 3.149
NPV(B) = 2.534
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Impor tant points
Fisher separation
NPV def inition
NPV with mutually exclusive projects (either-or)
NPV with budget constraints
EVA and NPV
IRR
IRR pitfalls
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R eadings
Gr in blatt/Titman chapter 10
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Test for next week:
R eadings chapter 4, 5, 6 and 10
Impor tant formulas
CAPM: exp retur n = r isk free plus r isk adjustmentBeta-factor: covar iance/var iance
Factor models: exp retur n = r isk free plus r isk adjustment
Risk free real investments
NPV rule
Prof itability Index
EVA
IRR
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Ver y impor tant formulas
T
T
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M
M
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r
C
r
C I N PV
r r E r Var
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Sample test questions
1. The r isk free retur n is 5% and the market index has an average retur n of 12%. What is the expected retur n for an asset with beta 1.5?
2. An investment costs 100,000 and offer s a cash flow of 50,000 in year 1 and 150,000 in year 2. The discount rate is 5%. What is the net present value of the investment? Shouldyou adopt the investment? Explain.
3. In a two-factor market, the factor betas of asset A are 1 and
0, and the factor betas of asset B are 0 and 1, res pectively.The r isk free retur n is 5%, and the average retur n on asset Aand B are 10% and 15%, res pectively. What are the r isk
premia associated with factor 1 and 2?
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Week 6: Investing in Risk y Projects
Applying the CAPM and APT in the capital budgeting process
Key problem: estimating the cost of capital for r isk y projects
Applying CAPM and APT Using compar ison f irms
The dividend discount model
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Risk Adjusted Discounting
t
t t
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Fundamental problem: Estimating the beta factor Betas for traded equity are easy to estimate ± we simply regress equity retur ns on the index retur n, and possi bly adjust to take into account estimation error (e.g.
Bloomber g adjustment)
Betas for projects are much more diff icult to estimate as there simply does not exist a trading histor y
Possi ble solution: use compar ison f irms (f irms weimagine has similar r isk prof ile to the project in question)
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Using compar ison f irms
Asset base needs to be suff iciently similar to the plannedinvestment
We need to adjust for leverage effects (the compar ison f irm may
have debt) In general, it is only the equity beta of the compar ison f irm we can
estimate but we are really interested in the asset beta
The more the f irm borrows, the higher the equity beta (even though theasset beta remains the same)
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Adjusting for leverage
termleverage
a plus betaasset theequals betaequity Estimated
)(
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Implementing r isk adjusteddiscounting with compar ison f irms
08.10.1
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ly.res pective1.08and1.00,0.75,arecompaniesthree
theseof betasequity Thes.Wendy'andsMcDonald'
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!
!
!
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Cont«
)084.0(78.004.01055.0is project for therate)(discount capitalof Cost
8.4%. premiumr isk market and4%ratefreeRisk
3
85.077.072.078.0 beta project betaAverage
!
!!!
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Applying APT
t K K F
t
t r
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C E PV )1(
)(
))((
bygiven arelues present vasomodel,factor a by
capitalof cost theestimatesmodelAPTThe
11 P FP F ! .
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APT and CAPM vs Alter nativemethodsA draw back with the APT and CAPM models is that they requirea number of estimates: the r isk free rate of retur n, the betafactor(s), the market r isk premium and the factor r isk premia.
It can in some circumstances be better to work with simpler model. The dividend growth model is an alter native to the APTand CAPM.
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Dividend Discount Model
yielddividenddividendsin growth
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Pitfalls in using the compar ison methodProject betas not the same as f irm betas: mature projects
generally lower beta than R&D projects etc
Growth oppor tunities are usually the source of high betas:
company value of ten signif icantly linked to future growthoppor tunities as opposed to current investments
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Example cont«
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Compar ison method, example
A f irm with equity currently valued at 100,000 andoutstanding debt wor th 50,000 holds 25% cash and 75%of a r isk y asset on its balance sheet
The equity beta is 1.5
You consider investing in a project ver y similar to ther isk y asset owned by this f irm
The r isk free rate is 5% and the expected retur n on themarket is 12%
Work out the project beta and the cost of capital for your project
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Compar ison method cont«
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R eadings
Gr in blatt & Titman chapter 11
I have not emphasized the cer tainty equivalent method
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Week 7: Taxes and Financing
Irrelevance in the absence of transaction costs and taxes
(Modigliani-Miller)
Financing choices not neutral to taxation:
Level: corporate vs pr ivate tax rates
Timing: dividends can be deferred whereas interest payments on debt
cannot
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Modigliani-Miller
The operating cash flow is divided into two components
Cash flow to debt holder s
Cash flow to equity holder s
Fundamental question: Does it matter how the s plit is made?
If it does we can create value also through f inancing choices (not only through investment choices)
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MM cont«
Modigliani-Miller proved that capital structure choices
are irrelevant ± the s plit does not matter
This proof rests on the absence of transaction costs of any k ind: taxes, trading costs, and bankruptcy costs
The proof of the MM theorem uses a ³no arbitrage´
ar gument ± f inancial markets do not admit ³freelunches´, or trading strategies giving you a positive cash
flow with no pr ior investment
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MM cont«
Consider two ³ver sions´ of the same f irm ± one ver sion is U for
unlevered (with no debt) and the other ver sion L for levered (with
debt)
The f irms have other wise the same operating cash flow X
The unlevered f irm has value VU and the levered f irm value VL
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MM cont«
Suppose VL is smaller than VU
Then an investor can buy a 10% holding of L¶s debt and a 10%holding of L¶s equity, which entitles the investor to a 10% share
in the total cash flow X. He would then go to the market and sell10% of the cash flow X, which is valued at 10% of the value of U. This leaves him with zero future liability.
His trading gains are 10% of the difference between VU and VL,
which we have assumed is positive
This cannot be possi ble in an arbitrage free market, so we can conclude that VL must be equal to or greater than VU
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MM cont«
Now suppose VU is smaller than VL
An investor buys 10% of the cash flow X and sells 10% of aclaim that promises the cash flow (1+r)D. The net cash flow is
10% of a claim that pays X-(1+r)D at matur ity, which is pr iced at 10% of the equity in L
The net future liability is zero, and the trading gains equal 10% of the difference between VL and VU, which we have assumed
positive
Again, this is not consistent with arbitrage free markets
In conclusion, it must be the case that VU = VL and that capitalstructure is irrelevant
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What about r isk y debt?
When the corporate debt contract is r isk y it may bediff icult to f ind a ³synthetic´ corporate debt contract if areal one does not exist
We must assume, therefore, that the markets aresuff iciently complete in order to conclude that f inancing does not matter
Complete market = a market where the dimensionality
of the asset structure equals the dimensionality of theuncer tainty structure
If there are two states of nature (e.g. ³good´ and ³ bad´)then it suff ices with two distinct assets to make the
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Bankruptcy costs
The Modigliani-Miller theorem also assumes that there
are no deadweight costs of bankruptcy
The debt holder s may not get all their money back if thef irm defaults, but this is not in itself enough to
jeopardise the MM-theorem
There must also be deadweight costs or liquidation costs (i.e. the value of the assets in default is less than the
value of the assets as a going concer n)
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Taxes: Another impor tant factor
The tax system is generally fairly complex with different tax rates
for different individuals and institutions, and for different ty pes
of income
Therefore, it may be scope for ³tax arbitrage´ prof its in f inancing
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Af ter tax cash flow analysis
A constant af ter tax discount rate r
Tax rate for per sonal income from debt tD
Tax rate for per sonal income from equity tE
Corporate tax rate tC
Ear nings before taxes and interest payments X
Ear nings before taxes (X ± kD) (k coupon rate, D nominalamount borrowed)
Af ter tax per sonal income from debt kD(1-tD)
Af ter tax ear nin X-kD 1-t
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Algebra
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Preferred stock
Preferred stock: dividends on preferred stock are not taxdeducti ble at the corporate level as are interest payments on debt
This implies that corporate junior debt may be taxeff icient relative to preferred stock
However, the US tax code allows a 70% tax exclusion
for preferred dividends paid to corporate holder s, so theyield on preferred stock is of ten lower (before tax) than on junior debt even though the debt has senior ity over the preferred stock
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Investor conflicts?
Tax exempt equity holder s prefer in general to reduce the borrowing of the f irm so as to transfer income from debt repayments to dividend payments
High-tax bracket investor prefer the opposite
Of ten tax-exempt munici pal bonds (or similar investments) offer yields that are greater than the af ter tax yield on corporate bonds for high-tax bracket investor s
Thus, the f irm can give these investor s an advantage by increasing the f irm¶s borrowing, as this frees capital that theinvestor s can use to invest in tax-exempt munici pal bonds
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Inflation
We expect to see a one-to-one relationshi p between
inflation and nominal interest rates - if inflation
increases by one percentage point then so do nominal
interest rates
Higher inflation, therefore, leads to higher nominal
borrowing costs that yield in tur n greater tax deductions
Therefore, the tax effect has greater bite in per iods of
high inflation
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Empir ical evidence
Do f irms with greater taxable ear nings borrow more?
No, but this may be because f irms in general rarely issue equity
Firms that perform poorly, therefore, tend to accumulate debt to meet their investments
Tax code changes that affect the relative tax benef it of borrowing should have an impact on corporate f inancing
Yes, US tax reform of 1986 which reduced the tax benef its of other things than debt (such as depreciation rules and investment tax credits) gave r ise
to an increase in borrowing among f irms most affected The f irms less affected did not increase their borrowing to the same extent
Taxes matter but don¶t explain ever ything
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R eadings
Gr in blatt/Titman chapter 14, including the appendix
14.10 Are There Tax Advantages to Leasing not so relevant
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Exercises
1. A f irm has assets valued at 100, and debt valued at 50. It plans to restructure its liability side by increasing its borrowing to 70 and paying a dividend of 20 to its shareholder s. The debt has zero beta before and 0.001 beta
af ter the recapitalization. The beta of the equity is 2 beforethe recapitalization.
a) What are the values of the equity before and af ter therecapitalization?
b) What is the beta of the assets of the f irm?
c) What is the beta of the equity af ter recapitalization?d) The recapitalization has increased the beta of the debt (and therefore
the cost of debt capital). Has it also increased the beta of the equity?Does this mean that the total cost of f inancing has increased?Explain.
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Week 8: Taxes and Dividends
In fr ictionless markets dividends don¶t matter
Why do f irms nonetheless pay dividends?
Taxes and dividends
Stock retur ns and dividend yields ± what is the connection?
Investment distor tions caused by taxes in dividends
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Cash flow to shareholder s
Shareholder s ear n money through holding equity that ear ns a cashflow (such as dividends) and capital gains (which can be realizedthrough selling stock)
The cash distr i bution to shareholder s is normally discretional ±
the company can decide how much cash flow to give their shareholder s
Cash distr i bution comes in two forms ± dividend payments andshare repurchase schemes
Dividend payments do not affect the number of shares but willreduce the value of each share
Share repurchases do normally not affect the value of each share but will reduce the number of shares outstanding
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How much of ear nings is cash flow to
shareholder s?Dividend payout ratio: the ratio of dividends to ear nings
In the US, this ratio has declined from about 22% in
1980 to about 14% in 1998
Over the same per iod, the ratio of share repurchases to
ear nings increased from 3% to about 14%
The total ratio of cash flow to ear nings has been
relatively stable at about 25% of ear nings
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Dividend yields
Dividend yield is the ratio of dividends per share over pr ice per share
Ty pical patter n is that high-tech growth f irms have low dividend
yield and dividend payout ratios (Microsof t paid its ver y f ir st dividend this year)
Stable, old economy companies such as mining, oil andmanufactur ing pay about half their ear nings as dividends
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What is the optimal dividend payout
ratio?Assumption: fr ictionless economy (no transaction costs, taxes, or other fr ictions)
Investment policy unaffected by dividend payments
Modigliani-Miller Dividend Irrelevance Theorem:
The choice between paying dividends and repurchasing shares is a matter of indifference to shareholder s
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Modigliani-Miller Irrelevance
Consider two identical equity f inanced f irms, the only difference
is dividend policy
Firm 1 pays 10m as dividends
Firm 2 repurchases stock wor th 10m
Af ter the end of the year, the f irms are wor th X
In the beginning each f irm has 1m shares outstanding
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MM cont«
Each share eventually sells for X divided by the number of shares
Firm 2 buys back 10m wor th of stock
If share pr ice is p, and f irm 2 buys back n shares, we k now that pn=10m
We also k now that p=X/(1m-n)
Suppose X = 150m
Solving both equations gives us n = (10m1m)/(X+10m), so we get n = 62,500,and p = 150m/(1m-62,500) = 160
Firm 1: stock pr ice is p = 150m/1m = 150, but each stock gives a dividendwor th 10m/1m = 10, so the total value of each stock is 150+10 = 160
Since shareholder s get the same cash flow eventually, the shares must sell at the same pr ice initially, i.e. dividend policy does not matter
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Taxes and cash distr i bution to
shareholder sClassical tax system
Dividends taxed as ordinar y income and capital gains at a lower rate than ordinar y income
Dividends are not tax deducti ble at corporate level, so dividends are also
subject to corporate taxation
Imputation system
Dividends are taxed as ordinar y income but investor s get a par tial taxcredit for corporate taxes (to off set per sonal taxes)
Dividends are not tax deducti ble at corporate level
Systems that eliminate double taxation
Dividends are tax deducti ble at corporate level and taxed as ordinar y income at investor level
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Classical tax system
The classical tax system implies a tax disadvantage of dividend payments
Dividend $100, 35% tax implies an immediate tax
liability of $35
Share repurchase scheme: an investor sells $100 wor thof shares. Suppose or iginal cost was $76. This implies ataxable capital gain of $24. Taxed at 20%, this implies
an immediate tax liability of $4.8
Share repurchase scheme much cheaper than paying dividends
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Tax avoidance schemes
In theor y, investor s can of ten invest in a scheme that gives an immediate tax relief against a deferred futuretax liability
In practice, investor s do not take advantage of theseschemes but instead choose to pay taxes (or are unableto invest in tax avoidance schemes) on the receiveddividends
The question is, therefore, why corporations continue to pay dividends when they are so tax ineff icient
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Dividend clienteles
Some investor s do not pay taxes
These investor s will, ever ything else being equal, prefer high dividend yield f irms to low dividend yield f irms as
they do not pay tax on the dividend
Firms might adopt different dividend policies to attract different investor clienteles
Empir ical evidence suggests that investor s¶ por tfolios have dividend yields that are related to their tax status (high tax bracket investor s choose low dividend yieldstock s and vice ver sa)
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Dividend payments and stock retur ns
Do stock s with high dividend yield compensate
investor s for the tax disadvantage?
Higher retur ns should then lead to lower values,reflecting the higher discount rates applied to future
cash flows
R esearch has focused on two retur ns effects
Ex-dividend day behaviour of stock pr ices
Whether cross-sectional dividend yield differences affect
expected retur ns
di id d d i d
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Ex-dividend day pr ice drop
If you buy the stock on the day before the ex-dividend day, you are entitled tothe future value of the stock and the current dividend payment
If you buy the stock on the ex-dividend day, you are entitled only to the futurevalue of the stock
The stock pr ice should, therefore, drop on the ex-dividend day to reflect thedividend payment
Empir ical results from the 1960s indicate that the ex-dividend day pr ice drop is about 77.7% of the dividend payment on average, but was higher (90%) for dividend payments greater than 5% of the stock pr ice, and lower (50%) for thesmallest dividends.
These results indicate a tax effect (investor s discount a tax rate of around22.3% on dividends), and a clientele effect (investor s with different tax rates hold por tfolios with different dividend yields)
E di id d d
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Ex-dividend day cont«
Transaction cost ar gument
Consider buying a stock at $20 before the ex-div day, receive a $1 dividend, then sell the stock for $19.20. This yields $1 taxable prof its and $(20-19.20) = $0.80 taxdeducti ble losses. The net prof it is $0.20 less taxes, but it is still arbitrage prof its.The stock needs to drop by the full amount to preclude arbitrage prof its.
If there is a $0.10 per share transaction cost, the investor receives taxable prof its of $1 in dividends, and incur $0.80 in tax deducti ble losses. The net prof it is $0.20, but the investor must also pay $0.10 in transaction costs, so the net prof it is only $0.10 less taxes. If the stock drops to $19.10, therefore, there are no arbitrage prof its to be made.
If the dividend payment is only $0.40, the necessar y pr ice drop is $0.30 to prevent arbitrage prof its. That is, the pr ice drop is greater for high dividend yielding stock s in percentage terms (as the clientele effect predicts).
Pr ice drop less than the dividend payment is also obser ved in countr ies that donot have a classical tax system, suggesting this is not a tax dr iven phenomenon at all
C i l l i b
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Cross-sectional relation between
dividend yield and stock retur nsIf dividends are more heavily taxed than capital gains,the expected retur n must be greater for high dividendyield stock s.
Empir ically, stock s with high dividend yields havehigher retur ns, but the relationshi p is not straightfor ward
The relationshi p is U-shaped, with zero dividend yieldstock s have higher expected retur n than stock s with low dividend yield, but for stock s paying dividends, theexpected retur n increases with the dividend yield
H di id d ff fi i
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How dividend taxes affect f inancing
and investment decisionsMar ginal tax rate of 50%
Company has a choice between paying $1m in dividends or retain the ear nings
R etained ear nings yield 6% af ter corporate taxes (alter native II)
Dividends yield 7% before per sonal taxes in corporate bonds (alter native I)
Alter native I yields $500,000 to invest at 7%, which af ter tax yields $17,500 per year
Alter native II yields $60,000 in extra dividend payments per year, whichyields $30,000 af ter tax to the investor
If you are a zero tax payer, however, alter native I yields $1,000,000 to invest at 7%, which equals $70,000, and alter native II only $60,000 in additionaldividends per year.
Investor s with different tax rates are likely to disagree with regard to the
dividend policy the f irm should pur sue
Th l i i l
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The general pr inci ple
Investor s prefer retained ear nings if (1-corporate tax
rate) x (pretax retur n inter nally at corporate level) >
(af ter tax retur n at investor level)
This has implications for investment policy as well
Tax-exempt and tax-paying investor s agree on exter nally
funded projects but may disagree on inter nally funded ones
(tax exempt investor s require higher retur n on inter nalinvestment than tax-paying investor s)
R di
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R eadings
Gr in blatt/Titman chapter 15
E i
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Exercises
1. A stock trades at 100p per share (pr ior to ex-dividend day)and the f irm will pay a dividend of 10p per share.
a) Work out the ex-dividend day pr ice if investor s pay 40% tax on dividends and the ex-dividend day pr ice equals the initial pr ice less
af ter-tax dividend payment b) Work out the minimum transaction cost per share that prevents tax-
arbitrage by a tax-paying investor
c) Suppose the dividend payment was 50p per share. What is your answer to a) and b) now?
d) Suppose the actual transaction cost is 2p per share. What are thearbitrage free pr ice drops in a) and c) above now?
e) What are the ³implied´ tax rates on dividends in d)?
W k 9 M i l I ti d
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Week 9: Manager ial Incentives and
Corporate FinanceManager ± shareholder conflicts
Occidental Petroleum and founder /CEO Armand Hammer case in the
text book
Maxwell Communications and R ober t Maxwell
How such conflicts affect investment, f inancing, and owner shi p
structure
How such conflicts can be mitigated by executive compensation
schemes
S ti f hi d t l
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Separation of owner shi p and control
The separation of owner shi p and control is benef icial in terms of diver sif ication and optimal investment while keeping a stablemanagement team in control of the f irm
But it can be harmful if the management team is more interestedin pur suing their own interest as opposed to their shareholder s¶interests
In what way do their interests differ?
Manager s represent investor s, customer s, supplier s, and employees ± not just investor s
Manager s get utility from non-f inancial benef its such as status, perk s, job-secur ity etc and are willing to s pend corporate resources on these even though they are likely to be negative NPV projects
F t th t d t i th
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Factor s that determine the manager-
shareholder conflictPropor tions of stock owned by the manager
Manager ial entrenchment and lack of means to controlmanager s
Diffuse owner shi p structure (no individual manager benef its enough to take action)
Proxy f ights (shareholder revolt at general meeting) are ver y expensive and diff icult to or ganize
Bonus schemes not performance sensitive enough
Changes in corporate gover nance have made manager s more accountable in recent year s
O hi t t
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Owner shi p structure
Owner shi p structure is on the whole more concentrated than we would expect (CAPMadvocates diver sif ication), par ticularly outside the US/UK
Owner shi p concentration a res ponse to weak legal protection of shareholder s¶ interests
UK /US have the strongest protection and the most diffuse owner shi p structure
Manager s tend to keep a signif icant owner shi p stake in f irms where the incentiveconflict with the shareholder s is the greatest
In many inter net IPOs, the manager s kept a lar ge share of their holding in order to get ahigher pr ice in the IPO (lock in clauses)
Eg. Lastminute.com ± Mar tha Lane-Fox and Brent Hoberman (founder s ± Hoberman still manager) were still lar ge owner s af ter IPO and were prevented from selling their share for a given time per iod af ter the IPO
Firms with higher concentration of management owner shi p have higher market values relative to their book values, provided management share is not too big. If it gets above5%, manager s become ³entrenched´ which allows them to pur sue own interests more
H di t t i t t
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How manager s distor t investment
decisionsManager s prefer investments that f it the manager¶s exper tise
Makes him (her) more indis pensable
Investments in visi ble/fun industr ies
R aising the manager¶s exter nal prof ile (and his potential future joboppor tunities and wages)
Investments that pay off early
Financial success in the shor t run can increase bonus, reduce the r isk of losing job, increase the possi bility of raising more capital
Investments that reduce r isk and increase the scope of the f irm
To avoid bankruptcy the manager seek s relatively safe investments andmay take a por tfolio approach to investments
Capital tr ct re a d ma a erial
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Capital structure and manager ial
controlManager s are likely to prefer equity to debt because they areinterested in minimizing the probability of default
Shareholder s may, therefore, prefer debt f inancing as debt is agood way to disci pline manager s (the fear of losing job is a good
motivator)
Empir ical investigations show there is a positive relationshi p between leverage and
Percentage of executive pay tied to performance
Percentage of equity owned by manager s Percentage of investment banker s on the board of director s
Percentage of equity owned by lar ge individual investor s
Debt is a good way to curb over investment
Executive compensation
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Executive compensation
The problem of incentivizing manager s is of ten called a pr inci pal-agent problem
Tenant farmer work s the land of a land-owner. If compensated too much in terms of out put, the tenant farmer must bear all the r isk influencing out put
(weather etc). If compensated too little in terms of out put, the tenant farmer doesn¶t put in the required effor t.
Compensation is a matter of balancing the two concer ns: Called the problem of designing the optimal incentive contract
Effor t (in put) cannot be obser ved, other wise compensation could be tied toeffor t instead of out put
Design objective is to minimize the agency costs of delegated control
Performance based executive
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Performance based executive
compensationJensen and Murphy (1990) found that a $1000 increase in f irm value is associated witha $3 increase in CEO bonus (a $10m jet costs the CEO $30,000 just in lost bonus payments)
Some disagreement about this result, as it may have underestimated the real sensitivity by ignor ing longer term impact on bonus payments
Substantial differences in pay-for-performance sensitivity across f irms
Some explained by the agency costs of delegated control
Some explained by the r isk of the f irm
Over time, the pay-for-performance sensitivity has been increasing
Adoption of performance-based pay is generally a positive signal to the investor s
What about relative performance sensitivity (pay linked to the position of the company relative to the average for the industr y)? R elative performance-pay is rarely obser ved, but can be costly to investor s in terms of pr ice war s and overly aggressive competition.
Stock-based performance ver sus ear nings-based performance. Stock based performanceis much noisier than ear nings-based performance, but in retur n ear nings can bemani pulated by the manager
Mergers Spin offs Carve Outs
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Mer ger s, S pin-off s, Car ve Outs
It may be easier to design an optimal compensation contract for a small,single-unit, f irm than for a multi-divisional conglomerate
Solution may be a s pin-off (a division set up as an independent f irm by distr i buting shares in the new f irm to the existing investor s) or a car ve-out (doan IPO of the division and sell to new investor s)
S pin-off s and car ve-outs are positive signals
Mer ger s create the opposite effect, and in par ticular conglomerate mer ger s can be seen as a negative signal to investor s as they affect manager ial incentives negatively (conglomerate mer ger s are relatively rare now but were popular in the 1960s and 70s)
Many s pin-off s and car ve-outs are rever sing pr ior conglomerate mer ger s
Readings
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R eadings
Gr in blatt/Titman chapter 18
Exercises
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Exercises
1. The manager of a f irm consider s investing £1m of free cash flow (ear nings currently held in a bank account) in a project that has pr ivate value £10,000to the manager but NPV of -£200,000 to the
investor s. What is the optimal decision for themanager if
a) He has f ixed pay?
b) He has in addition a bonus scheme where an increase of £1000 in the stock value leads to an increase of £10 to themanager?
c) What is the optimal bonus scheme for the manager in this case?
Week 10: Information and Financial
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Week 10: Information and Financial
DecisionsKey premise: manager s have better information than investor s
What manager s do, therefore, conveys information to
the market
Manager s can
Distor t accounts to mani pulate the information flow
R eveal information through dividend policy, capital structurechoice, and investment decisions
Empir ical evidence: how stock pr ices react to var ious f inancial decisions
What can better informed individuals
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What can better informed individuals
do?Signals: they act in a way that conveys their information
Difference between ³cheap talk´ and ³credi ble action´
Signals need to be costly
Pooling: they act in a way that ever y body else act in order not toreveal information
It is too expensive to send a signal
Mani pulation
Actions: Investor s overestimate the true cost of signalling R epor ting: ³Bad´ repor ts attract attention ± it may be easier to disguise bad
outcomes by submitting an ³average´ repor t
Distortions to managerial incentives
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Distor tions to manager ial incentives
Manager s seek to maximize the share pr ice
The share pr ice may, however, deviate from the ³intr insic value´(the full information pr ice)
Long term investor s prefer that manager s maximize the intr insicvalue (which eventually trans pires)
Shor t term investor s prefer that manager s maximize the current share pr ice (which may be distor ted due to lack of information)
The conflict is, therefore, essentially one of shor t-termism ver sus long-termism
Why do managers care about the
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Why do manager s care about the
current share pr ice? New issues or the manager s may plan to sell pr ivate stock
Low pr ices attract bidder s in takeover s
Manager ial compensation directly linked to stock pr ice
Customer s or employees may flee the company if the stock pr ice
goes too low
Earnings manipulation
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Ear nings mani pulation
The same underlying prof its can be repor ted in different ways as ear nings
Depends on the choice of depreciation method
Choice of inventor y valuation method (FIFO LIFO)
The estimates of the economic value of assets, the estimates of the cost of guarantees or warranties issued, the estimates of the pension liability of thef irm, the discount rates used for valuation of leases and pensions etc.
There is a tendency to inflate repor ted ear nings to increase thecurrent stock pr ice
But manager s may also f ind it useful sometimes to deflaterepor ted ear nings
For instance when the manager has just been hired
When applying for gover nment subsidies or tar iff protection against foreign competitor s
Short-termism in investment
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Shor t-termism in investment
Bias towards shor t term projects because these makes it clear ver y quickly whether the investment is a good one
Example:
Project A: yr 1 cash flow 40; yr 2-11 cash flow 80 per year; PV 840
Project B: yr 1 cash flow 60; yr 2-11 cash flow 50 per year; PV 560 Project C: yr 1 cash flow 40; yr 2-11 cash flow 40; PV 440
Investor s think C is much more realistic than A or B
If company chooses A, the stock pr ice is close to 440 af ter yr 1 ear nings arerevealed, why?
If company chooses B, the stock pr ice is close to 560 af ter yr 1 ear nings arerevealed, why?
Company has a disincentive to choose the best project which is A because it is
too similar to C in the f ir st ear
Dividends and Stock Repurchases:
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Dividends and Stock R epurchases:
Announcement EffectsAn announcement of a dividend increase normally increases thestock pr ice by about 2%
If a company announces it is to cut its dividend completely, thestock pr ice decreases by about 9.5%
Is paying dividends therefore a good decision?
Dividends may be a costly signal conveying information that is hidden from investor s
Paying dividends is, in effect, a cost to the shareholder s to ensure that current information is reflected in current pr ices
The alter native: long term savings in signalling costs against the cost of deviations between the current stock pr ice and the intr insic value of equity
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Capital Structure and Information
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Capital Structure and Information
Borrowing can also be thought of as a costly signal:
If manger s are convinced that future cash flow is high then the most credi ble way of communicating this information is to borrow
If the manager is ³lying´, the f irm is going to default on its debt liability
and the manager will be out of a job
Firms with poor pros pects f ind it hard to ³mimic´ the same borrowing decisions
Empirical Evidence
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Empir ical Evidence
Event study methodology
Leverage increasing transactions (debt-for-equity swaps) have positive stock pr ice res ponse
Leverage neutral transactions (debt-for-debt) have zero res ponse
Leverage decreasings (equity-for-debt) have negative stock pr iceres ponse
Secur ity sales (equity, debt) have negative stock pr ice res ponse,and more so for equity than for debt
Empir ical evidence is consistent with information theor ies (this week) but is also consistent with incentive theor ies (last week)
Adverse Selection
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Adver se Selection
Sick people tend to see health/life insurance as cheap ± consequently they will be over-represented in the group of buyer s of this ty pe of insurance
Example: ver y expensive insurance that cover s 100% of all costs ± or ± cheap insurance that cover s only 80% of all costs
In this case the sick people might migrate to the expensive ty pe of insurance and the healthy ones to the cheap ty pe
This is called adver se selection ± buyer s or seller s do not always
select themselves randomly but rather according to their ³ty pe´
This also plays a role in the sale of corporate secur ities
Managers have inside knowledge and
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Manager s have inside k nowledge and
at the same time sell or buy corporatesecur itiesCorporation can be expected to sell equity when thestock is over valued and buy back equity when the stock is under valued
This makes sell transactions a bad signal and buy transactions a good signal
This makes equity a bad source of capital for new investment, since it must be sold at a discount to the
current stock pr ice (why?)